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Algebra properties worksheet answer key
2.5 Using Algebraic Properties. Name: Identify the property that justifies each statement. 1. AB AB. = 1. 2. If. 1. 2 m m. = , and. 2. 4 m m.
Identifying Algebraic Properties Worksheet Answer Key
Algebraic Properties. Version 1. Match the name to the definition. (1) distributive property. (2) reflexive property. (3) commutative property of addition.
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Answered: Algebra Properties Worksheet Name:

Algebraic Properties
1) commutative. 2) associative. 3) distributive. 4) closure. Page 2. Regents Exam Questions A.N.1: Identifying Properties. Name: www.jmap.org. 2. 9 Which
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Solution for Algebra Properties Worksheet Name: Date: Per: For #1-27, name the property illustrated by each statement. 1. x+ y= y+ x 2.
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Free Math Printable Worksheets with Answer Keys and Activities
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Feel free to download and enjoy these free worksheets on functions and relations. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.
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- Long Division with Remainders #2 (Zeros in the Quotient)
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- 1 to 1 Functions (Algebra 2)
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- Quadratic Formula (Complex solutions)
- Quadratic Formula (Both real and complex solutions)
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- Solve Quadratic Equations by Completing the Square
- Sum and Product of Roots
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- Write Equation of Line from the Slope and 1 Point
- Write Equation of Line From Two Points
- Equation of Line Parallel to Another Line and Through a Point
- Equation of Line Perpendicular to Another Line and Through a Point
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- Perpendicular Bisector of Segment
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- Multiplying and Dividing Monomials Sheet
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- Operations with Polynomials Worksheet
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- Simplify Radicals Worksheet
- Adding Radicals
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- Solve Systems of Equations Graphically
- Solve Systems of Equations by Elimination
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- Sine, Cosine, Tangent Chart
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- Sine Cosine Graphs with Vertical Translations
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- Sine, Cosine, Tangent Graphs with Change in Period, Amplitude and Phase Shifts (All Translations)
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Algebra With Pizzazz Answer Key [Page 1 – Page 232]
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1. A TUNNEL WITH LEAKS 2. A BIG ELECTRIC BILL H. 60 A. 20 W. 7 S. 26 E. 62 U. 22 B. 100 G. 8 R. S T. O K. 24 N. 81 C. 90 I. 32 L. 1
l. 37 T. 76 U. 28 O. 33 E. 26 G. 31 A. 12 T. 62 Y. 83 I. 53 O. 27 R. O I. 27 C. 49 H. 3 O. 64 M. 62 V. 16 p. 7 G. 17 K. 140 H. 12 P. 10 IT MIGHT GIVE YOU A PORK CHOP
E. 35 I. 51 A. 70 Y. 18 T. 43 E. 7 p. 19 A. 6 O. 60 T. 16 H. 20 E. 1 D. 41 W. 24 K. 11 N. 72 L. 8 U. 30 W. 10 O. 0 HE WANTED TO WAKE UP OILY
1. T 2. I 3. S 4. A 5. I 6. E 7. N 8. T 9. A 10. N 11. I 12. O 13. U 14. T 15. H 16. S 17. T 18. N IN A TENTHS SITUATION
A. 7b R. 4x Y. 27 S. 24x O. 4a E. xy I. 8y D. 30x W. ax E. 2ay T. 5 R. 6y o. y T. a W. 4 H. 3 E. x A. u F. m M. 3/4 S. 2y T. k R. 3a THEY ARE MADE FOR TWO WRISTS
E. 8x + 9 S. 3x + 11 O. 9x + 8 L. 11x + 9 A. 6x F. 10x + 8 E. 7x + 7 O. 9t + 4u A. 8t + 12u + 4 I. 9t + 6u + 7 P. 7t + 13u E. 4t + 8u + 4 M. 16t + 4u F. 8t + u + 13 L. 8x + 5y + 7 E. 8x + 9y + 9 D. 12x + 15y O. 10x + 7y + 13 M. 9y + 8 H. 12x + 17y T. x + 6y E. n + 4w M. n + 18w + 3 O. 3n + 10w + 12 C. 16n + 5w H. n + 10w + 6 L. 11n + 7w + 2 P. 7n + 2w HE MADE A COMPLETE FOOL OF HIMSELF
1. 19x + 18 2. 21x + 22 3. 20x + 29 4. 3x + 36 5. 29x + 6 6. 25x + 42 7. 13x + 30 8. 42x + 46 9. 20x + 53 10. 12m + 22 11. 13m + 49 12. 10m + 10 13. 15m + 35 14. 23m + 33 15. 19m + 54 16. 43m + 24 17. 39m + 73 18. 66m + 18 OH LAY Oh Iay (olé)
A. 81 B. 500 C. 18 D. 36 E. 150 F. 900 G. 64 H. 54 l. 48 J. 7 K. 343 L. 144 M. 324 N. 1000 O. 32 P. 360 Q. 225 R. 242 THE CLEVER COUPLE WHO GAVE THEIR BABY DAUGHTER THE NAME MARGARINE BECAUSE THEY DIDN’T HAVE ANY BUT HER
You may wish to have students show on a separate paper how they substitute the given value for each variable and determine if it is a solution. 1. P 2. A 3. A 4. R 5. I 6. N 7. N 8. E 9. T 10. D 11. I 12. N 13. G 14. E 15. A 16. S 17. I 18. S 19. E 20. L 21. L 22. E 23. Y PAINTING IS LEARNED EASELY (easily).
E. 3 O. 18 S. 25 R. 19 A. 5 I. 12 N. 15 A. 9 S. 1 G. 16 N. 24 O. 27 I. 14 R. 8 S. 6 A. 20 H. 2 O. 22 C. 13 T. 11 W. 4 T. 28 F. 17 P. 7 O. 23 C. 10 H. 26 M. 21 SHE WAS PRACTICING FOR A MOON SHOT
You may wish to have students write an equation for each exercise, su‹Jh as -5 + -3 = -8. U. -8 E. 4 H. 3 A. -20 I. -7 E. -11 S. 20 T. -45 E. 7 R. -13 B. -2 S. 0 HE IS A SURE BET
1. -8 2. 4 3. -3 4. 9 5. -11 6. 7 7. 12 8. -8 9. -3 10. 1 11. -8 12. 4 13. 3 14. -15 15. 6 16. 20 17. 5 18. -3 19. 8 20. -2 21. 4 22. 7 23. 0 24. 3 25. 7 26. 15 27. 15 28. -3 29. 7 30. 16 THEY WANTED THE PRIZE TO HAVE APPEAL
W. 14 A. 11 N. 7 D. -1 G O. -6 N. 17 E. 3 U. 9 G. 10 N. 2 T. 7 O. 33 R. 15 N. 0 R. 22 ONE WRONG TURN AND
I. -5 O. 6 E. 9 R. 19 E. 8 O. 3 A. 1 Y. 12 R. -20 U. -11 N. 7 T. 17 H. 10 W. -4 T. -24 YOU’RE IN HOT WATER
1. -2 2. -37 3. 23 4. -41 5. 14 6. -662 7. 179 8. -282 9. -4 10. 0 11. -5822 12. -34 yd 13. $192.75 14. $40.200 15. -286 m 16. 17 A BAD GOLFEFR
Y. -12 E. 40 O. -63 R. 48 O. -48 E. 40 S. 12 E. -64 N. -100 V. 100 L. -24 O. 24 U. -60 D. 60 U. -27 O. -120 W. 360 S. -165 T. 120 H. 0 SO EVERYONE WOULD SHOUT
E. -2400 T. 1600 O. -720 T. -64 A. -96 H. 84 L. 150 S. 64 O. -84 K. 1600 A. 600 O. -600 R. -720 C. 800 G. 720 LOOK AT THE S CAR GO
UNASSEMBLED SANDPAPER D. -80 U. 189 E. -480 B. -360 A. 144 R. -125 L. -216 N. 64 M. -72 P. 10,000 S. 1500
DOOR KNOB WEARING BIK!NI E. -120 G. 81 O. 130,000 A. -32 K. 900 W. -729 B. 288 D. -400 l. 400 R. -648 N. 98
JUST BEFORE THE SET CAVED IN H. -6 A. -60 O. 14 S. 24 I. -20 R. 66 D. -7 J. -64 C. -22 B. 10 N. -5 T. 4 U. -61 E. -1 F. 2 V. 0
IT ALWAYS GETS PUSHED AROUND U. 7 Y. -24 E. -18 I. 16 D. -26 L. -4 O. 250 H. 21 T. -2 W. 400 N. -54 G. -8 R. 15 S. -28 P. 50 A. -9 T. -9
E. -11 A. 5 H. -9 T. 2 E. 22 B. 9 A. -18 I. -5 E. -30 N. 17 R. 13 E. -21 A. 28 D. 10 S. 0 E. -8 I. 15 H. -32 E. -1 S. 35 T. -10 B. -6 M. -14 E. 12 G. -2 B. -24 T. 19 G. -3 C. -20 X. 25 L. 4 M. 7 Y. 11 HE BECAME THE BIGGEST LAMB DYER IN TEXAS
1. -5 2. -10 3. 12 4. -6 5. 20 6. -7 7. -10 8. -19 9. 4 10. -5 11. -10 12. 9 13. 2 14. -8 15. -1 16. 9 17. -7 18. 2 19. 4 20. -17 21. 0 22. -10 23. 2 24. -12 25. 9 26. -6 27. -12 28. 4 29. -3 30. -68 IT WASNT QUITE OLD ENOUGH TO BE A BUCK
S. -25 U. 4 E. -20 M. 26 E. 9 U. -49 L. 210 E. 16 N. -72 D. -4 W. -530 R. 6 R. -17 O. -29 A. -9 L. 900 N. -36 F. 8 S. -10 E. -81 H. -96 T. 18 N. -11 O. 2 E. 140 U. -15 Y. -1 Y. -64 S. 20 N. -5 R. -40 O. -60 WHEN YOUR NOSE RUNS AND YOUR FEET SMELL
A WOODEN PANCAKE LOOKING AT MILK WIZARD OF GAUZE D. -34 E. -17 F. -54 I. -49 R. -5 A. -22 P. 13 L. 336 T. -29 U. -360 G. -12 M. 18 Z. -45 K. 1328 C. -144 O. -2 N. 25 W. 11
1. 6x 2. -8y 3. -5x 4. 11y 5. -9x 6. 16y 7. 9x 8. 5y +4 9. -3x +7 10. -6y -4 11. 10x -6 12. 8x -3y 13.6x +y -3 14. -x -2y +7 15. 6x +7y +9 16. x -y -12 17. 5x -10y + 6 18. -4x +4y -9 19. -3x -4y +11 20. 3x +4y -7 21. 7x -6y +9 A LOWHA(aloha)
Note: This puzzle is designed to encourage students to simplify the expression before evaluating it. You might need to help them with the directions. 1. 24 2. 17 3. -41 4. 20 5. 48 6. -58 7. -52 8. 40 9. 64 10. -12 11. -32 12. 43 13. -25 14. -16 A WRECKED TANGLE(rectangle)
1. E 2. H 3. Y 4. T 5. O 6. N 7. W 8. L 9. C 10. A 11. L 12. M 13. I 14. H 15. X 16. A 17. Y 18. R THEY NOW CALL HIM X RAY
1. 11x -8 2. -7x +4 3. 3x -21 4. 3x -9 5. 17x -38 6. 7x -29 7. -4x +68 8. -40x +23 9. -16x -30 10. 17x +12 11. -23x -32 12. 13x +15 13. 4x +27 14. -12x +4 SIGN A PARTITION(petition)
This puzzle is designed to encourage students to simplify the expression before evaluating it. You might need to help them with the directions. 1. E.6 2. A.31 3. T.-41 4. A.50 5. I.11 6. T.54 7. A.-42 8. T.-8 9. W.68 10. H.-48 11. T.49 12. C.26 13. L.24 14. C.48 WITH A CATTLE ACT
You may wish to discuss the meaning and/or derivation of some of these formulas with your students. 1. 416 2. 210 3. 47 4. 170 5. 620 6. 78.4 7. 288 8. 378 VERY RUGGED
>> Find Moving Words Answer Here <<
He has a run track mind (one-track)

- -35 m QUESTIONABLE Question a bull
>> Find Did You Hear About Answer Here <<
EN. 5 2/3 NG. -2 1/2 AL. 63 BS. -180 IN. 48 GH. 2/5 LY. -13 HE. -7 YS. 3/4 RE. -1/10 TC. 5/6 JO. 90 SW. 10 NI. -1 2/3 GI. -18 LU. -3 3/10 HE REALLY ENJOYS SWINGING NIGHTCLUBS
- VINYL RESTING PLACE
- CHEEPERS BY THE DOZEN R. -7 O. -45 I. -72 B. 4 1/4 S. -2 6/7 C. -8 1/3 G. 4 4/9 A. 18 T. -6 2/3 D. -5 1/3 V. 8 3/4 H. -7 1/2 L. -10 1/2 Z. 2 1/3 Y. -2/3 N. 2/15 E. -2/7 P. -1 1/10
>> Find Books Never Written Answer Here <<
- 8 (HE) BURNED HIS LIPS ON (THE) EXHAUST PIPE
- 3 1/3 HE WAS CHILLING TWO BIRDS WITH ONE CONE
- 72 LOOK AT THE ORANGE MAMA LAID
- 40 SMA LLM EDI UMA TLA RGE
>> Find Cryptic Quiz Answer Here <<
E. 3 N. -6 A. 4 H. 10 E. -5 I. -8 T. 2 A. -16 Y. 7 S. -1 T. -12 F. 29 C. 1 THEY FASCINATE
- 87 MIN ROLLING IN THE ISLES
- 35 kg, 65 kg
- 35°, 60°, 85° HES ALL RIGHT NOW
- 12 cm, 36 cm
- 33 cm, 45 cm
- 4 cm, 26 cm
- 30 cm, 15 cm, 31 cm
- 3 m, 11 m, 12 m
- 10 m, 6 m, 9 m
- 150 m, 150 m, 270 m TAKE THE SHORTEST ROOT.
- 9 m by 27 m
- 30 cm by 36 cm
- 15 m by 23 m
- 16 cm, 21 cm, 32 cm
- 29 cm, 18 cm, 33 cm
- 36 m by 54 m IT WAS AN ACHER
E. 22, 23 A. -15, -14 B. 15, 16, 17 O. -50, -49, -48 E. 32, 34 A. 22, 24, 26 K. -45, -43 H. 11, 13, 15, 17 O. 20, 22 T. 16, 18, 20 K. 9, 11, 13 R. 24, 25, 26 HE TOOK A BRAKE
Students often need extra help understanding the method used in exercises K and T.
- WICKEDLY D. 3 E. -5 U. -1 C. 8 Y. 2 W. -7 I. -9 K. 20 T. 10 F. 90 L. 50 N. 12
These problems are challenging. You may wish to use them as class exercises.
- 24, 20 THAT IS NOT TEA
- 30, 60 ALUNATICK
- 3, 7, 14 HE KEPT POPPING OT OF BED
- 40cm MINDING THEIR MANORS
S. -44 N. 16 I. -66 S. -1000 L. 250 E. 12 A. 18 S. -8 T. -720 E. 4900 I. -20 S. -1 A. -50 S. 360 H. -36 R. -125 Y. -48 G. 3 I. -144 E. 999 W. -2 K. -14 T. 33 R. 1 SHE IS ALWAYS STRIKING TREES
- -1 YOU CANT HAVE YOUR KAYAK AND HEAT IT TOO
- 0 IT IS TACKS FREE
- 112 cm, 88 cm
- 21, 168, 18
- 27, 20, 40 HE GOT BUCK TEETH.
>> Find Test of Genius Answer Here <<
- N IN THE FUTURE TENTS
- R SO HE COULD BECOME A TRAVEL BURRO
You may wish to have students write exercises T-S in vertical format. T. 7x 8 I. 8x 11 O. 9x 2 2x 8 S. x 2 – 6x + 3 N. 9x 2 + 8x + 7 U. 5x 2 – 3x 11 I. 9x 3 – 8x 2 – 4x T. 4x 3 + 5x 2 + 5x – 11 O. x 2 + 3x + 8 S. -4x 4 + 5x 2 + 5x -11 N. -4x 4 + 6x 3 – 6x – 1 J. 5x 2 – 5 xy – 3y 2 A. 8x 2 y + 6xy 2 T. 3x 3 y – 6x 2 y 2 + xy 3 ITS JUST A NOTION
- AN ITALIAN INSECT
- A HAPPY CONTAINER
For the puzzles on pages 63-66 encourage students to write each answer BEFORE trying to locate it in the answer column. E. x 7 O. 3x 3 T. 6x 3 I. x 6 A. -3x 6 H. 4x 3 E. x 9 R. a 3 b 3 A. 6a 4 b 2 G. -4a 2 b 4 E. 5a 6 b 4 T. -4a 4 b 4 N. -12a 3 b 7 O. 12a 2 b 8 T. 6u 3 v 3 E. u 4 v 4 I. -8u 6 v 4 A. 6u 5 v 3 L. 6u 7 v 7 G. 8u 6 v 2 V. u 3 v 7 L. 9a 2 b 5 Y. -9a 2 bc 3 E. -a 3 b 3 c 3 O. 9a 2 b 2 c 2 T. -a 3 b 5 c 2 H. 9a 3 b 3 c 5 N. ab 3 c 2 THEY ARE GOING TO HAVE A LITTLE ONE
- E HE GETS SPLINTERS IN HIS TONGUE
T. 13 N. 5 S. 16 I. 1 L. 8 A. 18 E. 11 T. 6 Y. 19 D. 2 I. 15 A. 9 I. 3 T. 12 W. 17 D. 4 H. 14 N. 10 P. 7 I DIDNT PLANET THIS WAY
SH EM IS LA ID IT She mislaid it.
- IP HE WA WIPED OUT BEFORE HE COULD TURN AROUND
Encourage students to write out each answer BEFORE trying to locate it in the answer column.
- F HES REALLY A FUNGI
- 4 cm by 7 cm
- 10 cm by 10 m
- 6 m by 10 m
- 18 cm by 20 cm
- 8 cm by 14 cm BOT HCR EWS WER EMA ROO NED
You may wish to discuss the meaning and/or derivation of some of these formulas with your students.
- 376.8 MT RU SH MO RE
For additional practice, you may wish to have students solve these formulas for other letters.
- D BUY A DEW IT YOURSELF KIT
- 9, 4, 2 SH EP AS SE DT HE BU CK
- 30 km AN ON IO NR OL LS
A. 6 h O. 1.5 h N. 3 h C. 54 km A. 84 km/h Y. 850 km/h S. 48 km U. 1200 km C. 45 km O SAY CAN UC
- E THEY ARE THINGS TO ADORE
- S THE TUBA 4
- -3u 2 v 11 HE HAD A LOCOMOTIVE
- 2n -4n 3
- -6xy 3x 2 y 2
- -12ab a 3 b
- 2u 2 v 4 -4uv 3
- pq 2 -2pq 3
- 24k 2 w 2 -8w 2
- 30m -6mn 5
- -3xyz 9xy 2 z 3
- -abc 3 9bc 2 IT HAD A YACHT TO OFFER
For all factoring puzzles, encourage students to write out each answer BEFORE trying to locate it in the answer column.
- W FROM A FROG PAWNED
- EXTRA DRUMSTICKS
- A COAT OF ARMS
- H HE HAD A LOVELY FINISH
You may wish to have students write the correct product for each false statement. 3-S 9-A 16-E 6-T 14-O 7-I 12-E 1-Y 5-U 11-T 4-B 2-E 8-C 15-P 10-N 13-L YES BUT I CANT ELOPE
I. 6 D. 15 E. 13 N. 24 A. 4 O. 17 E. 2 A. 8 N. 18 H. 1 I. 20 E. 10 S. 5 I. 22 W. 3 E. 11 O. 23 N. 7 T. 21 C. 16 W. 9 D. 19 K. 12 N. 14 HE WAS IN A WEEKEND CONDITION
8-S 13-E 10-A 18-G 14-D 20-A 2-E 4-L 5-W 15-A 1-H 6-A 11-N 7-Y 21-C 3-A 12-T 16-B 9-W 22-K 17-I 19-M HE ALWAYS WANTED A BIG MACK
E. 9 O. 2 S. 13 L. 6 T. 10 U. 12 O. 18 E. 15 U. 3 L. 7 Y. 1 W. 4 S. 21 I. 5 D. 16 O. 19 G. 8 M. 20 H. 14 R. 17 M. 11 YOU WILL GET MUSHED ROOMS
- OD HE WANTS THE ODDS IN HIS FAVOR
- R BUYNOMEAL
- N WHEN HE SITS ON THE THROWN
For each exercise, students must find one factor in each column of binomials. This format discourages “working backwards” from the answers. Students may need some help getting started.
- (3x + 1)(x + 2)
- (2x + 3)(x + 1)
- (3x – 1)(x – 5)
- (7x – 2)(x – 1)
- (2u + 1)(3u + 1)
- (8u – 1)(u – 1)
- (2u + 3)(5u + 1)
- (3u – 2)(3u -1)
- (5u + 6)(u + 1)
- (3n – 1)(n + 1)
- (5n + 1)(n – 1)
- (2n – 1)(n – 2)
- (7n + 1)(n – 2)
- (3t – 1)(t + 5)
- (4t – 7)(t – 1)
- (6t – 1)(t + 1)
- (3t + 1)(t – 7) ROOMERS WERE FLYING
You might emphasize to students that they should cross out TWO boxes for each exercise.
- (6x + 1)(x +3)
- (5x + 1)(x – 2)
- (3x +1)(3x + 4)
- (7x + 8)(x – 1)
- (2x – 5)(x – 8)
- (5m + 3)(3m + 2)
- (8m + 3)(m – 1)
- (4m – 9)(m – 2)
- (14m – 11)(m + 2)
- (3m 10)( m+ 3) DO YOU WANT TIBET
This puzzle is similar to the one on page 91. Students must find one factor in each column of binomials.
- (2n +7)(2n – 7)
- (n + 6)(n + 2)
- (n – 4)(n – 5)
- (n + 8)(n + 8)
- (n + 5)(n – 3)
- (3n – 5)(n – 1)
- (a + 7)(a – 3)
- (5a – 1)(a + 2)
- (2ab + 5)(a + 3)
- (1 – 3a 2 )(1 + 3a 2 )
- (a – 5)(a – 6)
- (5a + 1)(2a – 1)
- (8u + 3)(u + 2)
- (5u – 2)(5u – 2)
- (3u – 14)(u + 1)
- (u + 3)(u – 7)
- (3u + 10)(2u – 1)
- (2u + 9)(u – 2) BY FORMING CARP POOLS
- C CORN ON THE COP
LOSE THEIR APPEAL GO DOWNHILL
No rearrangement of terms is needed in order to factor by grouping.
- W THEIR WINDOWS FALL OUT
- L THERES BEEN LESS INFLATION
- EY THATS REALLY QUITE AN EYEFUL
- T TENNIS BALL FACTORY REJECT
HE GOT A BIG HAND
Students may find these problems challening, especially 6-10. Most students will need to see an example like problem 7 before they try the last four problems. You may split the page into two separate assignments.
- 5/2 or -5/2
- 7, 8, or -8, -7
- 4, 5 or -5, -4
- 6, 8 or -8, -6
- 4, 5, 6 CLIPSEW
>> Find Cryptic Quiz Answer Here <<
A RHYTHMIC TICK Arithmetic
- O SIGN ON THE DOTTED LION
Note: You can visit Algebra With Pizzazz Answer Key starting page just by clicking that link in case you want to see the answers from the first onwards.
- EG THEY ARE BOTH LEGENDS
- A IT WAS ASSAULTED
These excercises are challenging.
- DISTRIBUTIVE
- COEFFICIENT
- POLYNOMINAL
- QUADRATIC TO PROVIDE BETTER QUARTERS
- T A THOUGHT STRUCK HIM
- T IT WAS A DIRTY TREK
- HEG THE WHIRLY BIRD CATCHES THE GERM
- S HE HAS SNOW BRAINS
- SH ATRAINHITHIM
- T SWITCH HITTERS
It is important that students discriminate between ratios in which units of measure can and cannot be cancelled (rates). Parts I and II of this puzzle correspond to these two kinds of ratios. Notice that n Part I, answers are in fraction form; in Part II, answers are in decimal form. S. 1/6 A. 9/2
- 3/8 H. 7/4 E. 3/20 D. 4/1 Y. 2/25 A. 8/5 W. 24/1 E. 5/6 T. 2/3 A. 5/3 S. 2/13 E. 24/25 V. 20 Y. 22.5 S. 400 L. 32 N. 7.5 H. 0.3 C. 6.2 THEY ALWAYS HAVE SECONDS
- 8, 8, 12, 24, 28
- 32, 48 NO HE JUST GRAZED THEM
- 9600 ITSDOGONICE
- A FORGET ME GNAT
- FROSTBITE G. 30/7 I. 20 O. 9/4 S. 11/2 A. 1/2 E. -2 M. 23 B. -5/4 R. -17/15 N. 5 F. -4 T. 1
- 100 BE A LITTLE BOULDER
- -1 (7 is an extraneous solution.)
- -3, 1 SISBOOMBAH
You may wish to have students use calculators for all puzzles involving percent. S. 16.08 I. 0.37 H. 1.5 N. 77 T. 52.2 U. 0.255 W. 30 A. 4.25 I. 0.07 E. 6 S. 175 A. 0.099 I. $37.95 C. 1050 V. $590 N. $238 L. $1630 IT WAS SUCH A VILE INN (violin)
You may wish to have students use calculators for all puzzles involving percent. DETERMINED WORM CROSSING A RAZOR BLADE N. 11.34 O. 25.2 G. 30 I. 60 T. 32 A. 7 C. 54.12 E. 11 L. 6.4 W. 5 Z. 85 S. 24 B. 70 M. 45 D. 18 R. 200
- A DOLLAR WASTED T. 224 P. 31.2
- 1.25 C. 15 B. 26 2/3 E. 3.5 K. 45 R. 32 D. 200 N. 225 L. 19.6 M. 140 A. 33 1/3 W. 90 S. 7000
- 32 1/2 HISSANDHEARSE
- HE HAD A SUITE TOOTH
For additional practice, have students solve these formulas for other letters. (Use page 72 for practice with formulas having no variables in the denominator.)
- R A FUTURE WRIST TICK
The last three exercises require splitting a sum of money into two parts. You may remind students that these can be represented as x and SUM – x.
- $2000, $3500
- $1200, $1800
- $3000, $4000 ITISASLOPEUP
- $2000, $5000
- $12,000; $15,000
- $2100, $3700
- $6000 HE HAD TO WORK ON WICK ENDS
Exercises 1, 2, 3, and 7 represent one variation of dry mixture problems; exercises 4, 5, and 6 represent another. You might wish to use exercises 1 and 4 as examples in class. IS – 8, 12 ES – 100, 50 RT -1, 2 IT – 2 RI – 7 PA – 250 DG – 16, 9 IT IS PART RIDGES
Exercises 1, 2, 3, and 4 represent one variation of liquid mixture problems; exercises 5, 6, and 7 represent another. You might wish to use exercises 1 and 5 as examples in class.
- 3.5 mL HEWENTDATAWAY
- 60 d ABRICKLAYER
HW WAS CREDITED WITH TWENTY-ONE STOLEN BASSES (stolen bases).
- (2, 1) (4, -5) (-1, 10)
- (0, 4) (-3, -2) (3, 10)
- (3, 7) (-1, -3) (1, 2)
- (0, -1) (-2, -9) (1, 3)
- (3, 9) (-3, 9) (-1, 1)
- (1, 5) (-1, 5) (-2, 11)
- (1, -1) (8, 0) (-6, -2)
- (2, 5) (-2, -5) (-5, -2) HIS MOTHER WAS A WAFER SO LONG
Coordinate grids suitable for graphing these functions are on page 147.
- 10 -10 6 -2
- 3 10 -8 -5 HER BROTHER SAID HE WANTED HIS PALM RED (read).
This page is useful not only for graphing the functions on pages 146 and 149, but also for a variety of other graphing activities.

You may wish to have students graph these equations. There is a suitable set of coordinate grids on page 147.
- 8 -1 -10 YOU HAVE ACID IN DE CHEST YUNN
Coordinate grids suitable for graphing these equations are on page 151.
This page is useful not only for graphing the equations on page 150, but also for a variety of other graphing activities.
E. 2/3 O. 4 G. 1/2 S. 3 O. 1 N. -5/2 V. -2 L. 3/7 GLOVES ON
The objective for this page is to find the slope not using the graph. The first six exercises, however, review finding the slope using the graph.
- -7/2 A ROBBER DUCKY
- y = 2x – 3
- y = 2/3x + 1
- y = -2x – 4
- y = -3/2x – 1
- y = -1/4x + 2
- y = 2/5x – 5 HE THOUGHT IT WAS DEVINE

THE LOAN ARRANGER
O. y = -2/5x + 2 N. y = -4/3x + 3 L. y = 2/3x – 7 I. y = 1/4x + 5 A. y = 3/5x – 1 U. y = -7/4x – 4 R. y = 2 x – 7/2 I. y = -3x + 1/3 S. y = 6 x – 4 G. y = -4/3x + 8/3 N. y = 5/9x + 7/9 F. y = 2/7x T. y = 6 x – 1/2 F. y = 1/4x + 1 H. y = 2/3x + 1/2 ITS FOR HALVING FUN

HE HAS NO PROPER TEA
SHE HAD A BUM STEER
As an additional activity, you might have students write each equation in standard form and/or graph it.
- S JUST FOR THE SMELL OF IT
- PE THEY MADE A PERFECT PEAR
Coordinate grids for graphing these systems of equations are on page 162.
- no solution
- (-3, -1) EGGSSPEARAMINT
This page is intended for graphing the systems of equations on page 161.

- (-1/3, 4/3)
- (5/2, -1/2)
- (8, 0) HE IS HOPING FOR WHIRLED PEAS
You might have students solve one or two of the systems by graphing in the given coordinate system. This puzzle format makes it convenient to compare the two methods of solution.
- (4, -4) A SUDDEN DEBT PAYOFF
- (1/2, 0) OPENTOAD
- 16, 12 SO THAT WE CAN HAVE LAWN ORDER
A. (3, 1) I. (-1, 2) R. (2, -3) T. (4, 0) A. (-1, 5) O. (4, -2) F. (-6, -4) M. (1, 4) N. (0, -5) L. (3, 8) A FLAT MINOR
- 14 A HOT AIR BABOON
- 16 km/h 4 km/h
- 550 km/h 50 km/h
- 8 km/h 1 km/h
- 900 km/h 100 km/h
- 12 km/h 4 km/h
- 200 m/min 40 m/min
- 325 km/h 25 km/h
- 8.75 m/min 3.75 m/min DECALFINATED
- 15, 35 ABIGFIRE A big fire (A “three-alarmer” is a big fire.)
- 38 PLUG INN
- $1000, $2000
- $3000, $1500
- $2000, $1200
- 40, 30 AFLYINGSAWSIR
This puzzle will help illustrate the meaning of relation, function, domain, and range. You may wish to have students write the domain and range for each relation.
- f HIMA Hi, Ma.
- A. 140 B. 0
- A. -11 B. 1
- A. 1/2 B. -1/3
- {24, 14, 4}
- {49, 1, 31}
- (-4, 3, 12)
- {-5, 4} A FLYER QUACKER
These hypothetical functions will help illustrate concepts of function, slope, domain, range, and initial conditions. The questions at the bottom are suggestions. You may wish to elaborate or extend the discussion.
You might have students individually, or as a class, sketch each of these functions BEFORE you pass out copies of this page.

- y 7 1 -3 -5
- y 4 -1 -4 -5 -4 -1 4
- y 5 0 -3 -4 -3 0 5
- y 8 1 -4 -7 -8 -7 -4 1 8
- y -6 1 6 9 10 9 6 1 -6
- y 11 1 -5 -7 -5 1 11
There is a coordinate grid for graphing these equations on page 182.
- y = 22/7x IT WAS AN X SIGHTING MOMENT
This page is for graphing the functions on page 181. The questions at the bottom are useful for an assignment or class discussion.
- k = rate of speed
- k = rate of interest

- 10 ANORDEREDPAIR
The exercises in the right column may provide examples to help students gain an intuitive feeling for inverse variation. In the last exercise, the equals the approximate speed of sound in air.
You may wish to use this page as a class activity, making an overhead transparency to guide discussion.

- 6.75 THEY MADE HEADLINES
- D. 4 A. 100
- T. 14 E. 735
- A. 0.06 O. 13.50
- I. 288 K. 32
- M. 45 F. 11.25
- N. 3.6 A. 0.4
- Y. 2000 R. 980 I AM A FRAYED KNOT
You may wish to use these formulas in discussing with students the effect on the dependent variable of doubling, tripling, etc., one of the independent variables.
- P = kV 2 /R
- s = kbd 2 /l
- g = km 1 m 2 /d 2
THEY BURIED HIM SIX DOWN AND EIGHT ACROSS

- x < 0 AE3ORINGJOB
- n < -2 HE WAS PROPOSING A TOAST
You may wish to give each student a copy of page 194 to use as a worksheet for this puzzle.
- I A PERSON WITH GOOD ICE SIGHT
This page is a worksheet for pages 193 and 195. Students can graph one inequality on the first number line, another on the second number line, and their union of intersection on the third.
- A HE GOT A PANE IN HIS STOMACH
- RR BECAUSE ITS NEITHER RARE NOR WELL DONE
- T MEETPATTY
This is a two-page puzzle. You may wish to assign only one page.
- B THEIR FATHER WAS A BOAR

S. 7 T. 1 H. 10 I. 30 H. 2 S. 6 O. 8 R. 5 S. 8 E. 15 I. -100 T. 3/4 E. 20 T. -90 N. 120 S. 1/3 O. 9 E. 15 R. 11 W. 60 E. 9/2 A. 0.5 I. -0.7 E. 0.1 E. 1 T. 3 H. 10 P. 14 A. 1.2 T. 0.02 S. 0.11 M. 2/3 IT IS THE SPOT WHERE THE SONS RAISE MEAT
S. rational number I. numerator by denominator A. terminating decimal D. repeating decimal S. terminating or repeating H. fraction F. irrational number H. repeat I. terminates N. 0.1212212221… P. real numbers S. decimal FISH AND SHIPS
It may be useful to have students write the radicand in factored form before writing answers. For example: √8 = √4.2 = 2√2 L. 2√2 I. 3√5 A. 5√2 T. 2√3 O. 7√2 S. 4√3 O. 7√2 S. 4√3 E. 5√5 A. 2√5 S. 6√2 Y. 3√7 E. 12 W. 4√2 D. 5√3 A. 10√2 S. 15√2 U. 6√7 A. 20√10 P. 1000 E. 24√2 K. 24√3 L. 16√5 H. -9√6 A. -14√10 B. -88 S. 20√5 T. -8√6 Z. 15√7 C. 30√3 SHE ALWAYS TALKED ABOUT CAP SIZES
- √1 SHELVES WITH A HIGH POT IN USE
- A. √157 B. √105 C. 1 m
- √975 m INBEEFFLAT
This puzzle and page 208 are identical, with one exception. In this puzzle, all variables are assumed to represent nonnegative numbers. On page 208, all radicands, but not all variables, are assumed to be nonnegative. For this puzzle, absolute value bars are not required in answers; they are required for some answers on page 208. Use either puzzle, depending on whether you wish to teach absolute value in this type of exercise. THEY DONT HAVE THE VEGAS IDEA They don’t have the Vegas (vaguest) idea.
Please see the note on page 207. Absolute value bars are required for some answers. (Note that absolute value isn’t used for x because x can’t be negative in this case; if x were negative, the entire radicand would be negative.) THEY DONT HAVE THE VEGAS IDEA They don’t have the Vegas (vaguest) idea.
E. 9 H. 23 O. 5 A. 14 R. 26 H. 2 E. 21 A. 12 D. 16 T. 1 E. 7 P. 18 E. 3 N. 10 B. 13 I. 25 A. 17 R. 6 L. 20 M. 8 N. 15 P. 19 T. 11 O. 24 F. 4 C. 22 THE FOREMEN TAB AND APPLE CHOIR
- U RENT A DUET YOURSELF KIT
- 30n 4 t 2 √7t
- 35√11 + 2√22
- √6/10 I DONT KNOW AND I DONT CARE
S. √21/7 E. √15/6 I. 3√5/10 O. 2√6/9 S. 3√10/5 E. √2/2 A. √6 F. 5√3 R. √6/10 E. 1/2 T. 4√5/5 S. √15/2 M. √30/6 K. 3√30/2 D. 7 MASTER OF DESKIES
These exercises are challenging.
- W IT WAS NT A WELL BUCKET
- A HARDENED CRIMINAL
- CHECKOUT LIONS
- 8 – 4√13
- 33 – 9√15
- 14√15 – 10√2
- 30√5 + 10√6
- 36√2 – 18√10
- 26 – 2√7
- no solution; 4 is extraneous
- 9/4 IT IS A TWIN KEY
- 5; -2 is extraneous
- 2; -7 is extraneous
- 10; 3 is extraneous
- 8; -3 is extraneous
- 16; 1 is extraneous IT IS BETTER THAN THR OLD CLOUDY KIND
- {-1/2, 3/2}

- S BOY SCOUT TENT AFTER A SNOWSTROM

- 2, -4/3 TOKEEPCOWSIN
The exercises in this puzzle include these variations: equations are not given in standard form; the radical term can be simplified; an equation has no solution; reducing is possible in which students must divide both parts of the numerator, and the denominator, by a common factor. I. 5/2, 1 N. 3/2, -2 S. 5/3, -1

G. 2/3, -1/2

I. 3 ± √5 L. -2 ± √6

V. 1, -1/4 L. no solution X. -1 ± 2√2

LIVING IN X AISLE
For exercises 1-3, the graph of the function defined by the equation is given. the number of solutions is evident from the graph. For exercises 4-11, students should compute the value of the discriminant to determine the number of solutions.
- y = x 2 + 2x – 3
- y = x 2 – 4x + 4
- y = x 2 – 2x + 2
- B HOLDUPABANK
Students need a table of square roots or a calculator with a square root key for this puzzle.
- 3.1 m by 5.1 m
- 4.5 cm INSTINCT
- E HE MADE A SCENE IN PUBLIC
- B HE IS A TERRIFIC BUTTER IN LAW
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Algebra Properties
Showing top 8 worksheets in the category - Algebra Properties .
Some of the worksheets displayed are Properties of exponents, Algebraic properties, Pre algebra, Identifying algebraic properties work answer key, Properties of logarithms, Arithmetic and algebra work, Basic pre algebra intervention program, Algebra ii.
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Properties of Exponents
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Algebra Properties Worksheet Answer Key
Algebra Properties Worksheet Reply Key . Determine the bottom and exponents, intermediate exponents, signify numbers in exponential notation utilizing properties of exponents and much more. Cash on working with a teacher.n2 6n 7 02 k2 6k 8 0 3 x2 7x 10 04 x2 2x 48 0 5 x2 graphing quadratic features worksheet reply key algebra 2.

Worksheet about discovering the best widespread issue of two numbers. Broaden the expression utilizing the properties of logs. Give the change if you end up prepared.
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Algebra Properties Worksheet Answer Key
Algebra Properties Worksheet Answer Key . 1) 2 m2 ⋅ 2m3 2) m4 ⋅ 2m. ( 3+8)+7 = 3+(8+7) associative property for addition 2.
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Algebra 2 properties of exponents worksheet(with answer key)
On this page, you will see the properties of exponents to simplify polynomials.
What are the “Algebra 2 properties of exponents worksheet”?
This worksheet was created to help students understand the properties of exponents. You’ll learn how to add, subtract, multiply, and divide powers used as exponents in algebraic expressions. Following the conceptual overviews, you will see some math drills to practice the newly learned concept. There is a reflective section at the end where you can recreate your thoughts. Finally, you must create your own math problems or methods relating to exponent properties.
How will the “Algebra 2 properties of exponents worksheet” help you?
It will help you in writing complex equations or expressions in simplified form by understanding the order of operation of the exponents.
You will become able to solve equations more quickly after learning the properties of exponents described in the section below.
Algebra 2 properties of exponents worksheet
It is a symbol of power that is written on the above right corner of a mathematical expression.
Properties of Exponent:
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Create one math problem that will make use of the properties of exponents. Show your solution to the problem you crafted.
Reflection: What are your thoughts on the properties of the exponent worksheet? Was there any struggle or difficulty you experienced?
Do you know any other method to simplify expressions involved with exponents? Can you come up with a new way to do it?
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Kuta software infinite algebra 1 properties of exponents answer key
Kuta Software - Infinite Algebra 1. More Properties of Exponents. Simplify. Your answer should contain only positive exponents. 1. 2) (x4)-3.2x4.

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Graphing parabolas worksheet algebra 2 answer key
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Identify the vertex, axis of symmetry, and direction of opening of each. 1) y = 2(x + 10)2. + 1. 2) y = -. 1. 3.
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Algebra Properties Worksheet Answer Key
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Download Kuta Software Infinite Algebra 1 Answer Key Properties Of Exponents:
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PDF Properties Of Exponents - Kuta Software
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Infinite Algebra 1 - Kuta Software
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Kuta Software Infinite Algebra 1 Properties Of Exponents Answers
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KutaSoftware: Algebra 1- Properties Of Exponents Hard Part 1
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Algebra 1 Properties Of Exponents Worksheet Answers
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