go math grade 3 practice and homework lesson 8.7

#1 State Test Prep Blended & Online Programs

• 888-309-8227
• 732-384-0146

HOUGHTON MIFFLIN HARCOURT GO MATH! Grade 3

Houghton mifflin harcourt go math grade 3 answers & resources.

Textbook: HOUGHTON MIFFLIN HARCOURT GO MATH! Grade 3 ISBN: 9780547587851

Use the table below to find videos, mobile apps, worksheets and lessons that supplement HOUGHTON MIFFLIN HARCOURT GO MATH! Grade 3 book.

Whole Number Operations

Addition and subtraction within 1,000.

Domains Operations and Algebraic Thinking Number and Operations in Base Ten

Common Core Standards CC.3.OA.8, CC.3.OA.9, CC.3.NBT.1, CC.3.NBT.2

Number Patterns

Round to the nearest ten or hundred, estimate sums, mental math strategies for addition, use properties to add, use the break apart strategy to add, combine place value to subtract, represent and interpret data.

Domains Measurement and Data

Common Core Standards CC.3.MD.3, CC.3.MD.4

Organize Data

Use picture graphs, make picture graphs, use bar graphs, make bar graphs, solve problems using data, use and make line plots, understanding multiplication.

Domains Operations and Algebraic Thinking

Common Core Standards CC.3.OA.1, CC.3.AO.3, CC.3.OA.5, CC.3.OA.8

Count Equal Groups

Relate addition and multiplication, skip count on number line, model multiplication, model with arrays, commutative property of multiplication, multiply with 1 and 0, multiplication facts and strategies.

Common Core Standards CC.3.OA.3, CC.3.OA.5, CC.3.OA.7, CC.3.OA.7, CC.3.OA.8, CC.3.OA.9

Multiply with 2 and 4

Multiply with 5 and 10, multiply with 3 and 6, distributive property, multiply with 7, associative property with multiplication, patterns on multiplication tables, multiply with 8, multiply with 9, use multiplication facts.

Common Core Standards CC.3.OA.4, CC.3.OA.9, CC.3.NBT.3

Describe Patterns

Find unknown factors, use the distributive property, multiplication strategies with multiples of 10, multiply multiples of 10 by 1-digit numbers, understanding division.

Common Core Standards CC.3.OA.2, CC.3.OA.3, CC.3.OA.5, CC.3.OA.6, CC.3.OA.7

Model Division

Size of equal groups, number of equal groups, model with bar models, relate subtraction and division, relate multiplication and division, write related facts, division rules for 1 and 0, division facts and strategies.

Common Core Standards CC.3.OA.3, CC.3.OA.4, CC.3.OA.7, CC.3.OA.8

Divide by 2

Divide by 10, divide by 5, divide by 3, divide by 4, divide by 6, divide by 7, divide by 8, divide by 9, two-step problems, order of operations, understand fractions.

Domains Numbers and Operations – Fractions

Common Core Standards CC.3.NF.1, CC.3.NF.2a, CC.3.NF.2b, CC.3.NF.3c

Equal Parts of a Whole

Equal shares, unit fractions of a whole, fractions of a whole, fractions on a number line, relate fractions and whole numbers, fractions of a group, find part of a group using unit fractions, compare fractions.

Common Core Standards CC.3.NF.3a, CC.3.NF.3b, CC.3.NF.3d

Compare Fractions with the Same Denominator

Compare fractions with the same numerator, compare and order fractions, model equivalent fractions, equivalent fractions, measurement, time, length, liquid volume, and mass.

Common Core Standards CC.3.MD.1, CC.3.MD.2, CC.3.MD.4

Time to the Minute

A.m and p.m, measure time intervals, use time intervals, measure length, estimate and measure liquid volume, estimate and measure mass, solve problems about liquid volume and mass, perimeter and area.

Common Core Standards CC.3.MD.5, CC.3.MD.5a, CC.3.MD.5b, CC.3.MD.7, CC.3.MD.7a, CC.3.MD.7b, CC.3.MD.7c, CC.3.MD.7d, CC.3.MD.8

Model Perimeter

Find perimeter, understand area, measure area, use area models, area of rectangles, area of combined rectangles, same perimeter, different areas, same area, different perimeters, two-dimensional shapes.

Domains Geometry

Common Core Standards CC.3.G.1, CC.3.G.2

Describe Plane Shapes

Describe angels in place shapes, identify polygons, describe sides of polygons, classify quadrilaterals, draw quadrilaterals, describe triangles.

• Call us toll-free
• FAQs – Frequently Asked Questions
• Contact Lumos Learning – Proven Study Programs by Expert Teachers

Follow us: Lumos Learning -->

• 2024 © Lumos Learning
• Privacy Policy - Terms of Service - Disclaimers

PARCC® is a registered trademark of PARCC, Inc. Lumos Learning, is not owned by or affiliated in any fashion with PARCC, Inc... Read More

PARCC® is a registered trademark of PARCC, Inc. Lumos Learning, is not owned by or affiliated in any fashion with PARCC, Inc., the Partnership for the Assessment of Readiness for College and Careers, nor any state of the Union. Neither PARCC, Inc., nor The Partnership for the Assessment of Readiness for College and Careers, nor any member state has endorsed this product. No portion of any fees or charges paid for any products or services Lumos Learning offers will be paid or inure to the benefit of PARCC, Inc., or any state of the Union

SBAC is a copyright of The Regents of the University of California – Smarter Balanced Assessment Consortium, which is not aff... Read More

SBAC is a copyright of The Regents of the University of California – Smarter Balanced Assessment Consortium, which is not affiliated to Lumos Learning. The Regents of the University of California – Smarter Balanced Assessment Consortium, was not involved in the production of, and does not endorse these products or this site.

ACT® Aspire™ is a registered trademark of ACT Aspire LLC., which is not affiliated to Lumos Learning. ACT Aspire LLC, was not... Read More

ACT® Aspire™ is a registered trademark of ACT Aspire LLC., which is not affiliated to Lumos Learning. ACT Aspire LLC,was not involved in the production of, and does not endorse these products or this site.

Florida Department of Education is not affiliated to Lumos Learning. Florida department of education, was not involved in the... Read More

Florida Department of Education is not affiliated to Lumos Learning. Florida department of education, was not involved in the production of, and does not endorse these products or this site.

Indiana Department of Education is not affiliated to Lumos Learning. Indiana department of education, was not involved in the... Read More

Indiana Department of Education is not affiliated to Lumos Learning. Indiana department of education, was not involved in the production of, and does not endorse these products or this site.

Mississippi Department of Education is not affiliated to Lumos Learning. Mississippi department of education, was not involved... Read More

Mississippi Department of Education is not affiliated to Lumos Learning. Mississippi department of education, was not involved in the production of, and does not endorse these products or this site.

Ohio Department of Education is not affiliated to Lumos Learning. Ohio department of education, was not involved in the prod... Read More

Ohio Department of Education is not affiliated to Lumos Learning. Ohio department of education, was not involved in the production of, and does not endorse these products or this site.

Tennessee Department of Education is not affiliated to Lumos Learning. Tennessee department of education, was not involved... Read More

Tennessee Department of Education is not affiliated to Lumos Learning. Tennessee department of education, was not involved in the production of, and does not endorse these products or this site.

Georgia Department of Education is not affiliated to Lumos Learning. Georgia department of education, was not involved... Read More

Georgia Department of Education is not affiliated to Lumos Learning. Georgia department of education, was not involved in the production of, and does not endorse these products or this site.

Missouri Department of Education is not affiliated to Lumos Learning. Missouri department of education, was not involved... Read More

Missouri Department of Education is not affiliated to Lumos Learning. Missouri department of education, was not involved in the production of, and does not endorse these products or this site.

Louisiana Department of Education is not affiliated to Lumos Learning. Louisiana department of education, was not involved... Read More

Louisiana Department of Education is not affiliated to Lumos Learning. Louisiana department of education, was not involved in the production of, and does not endorse these products or this site.

• AP Calculus
• AP Statistics
• Independent Study

Online Math Class

Mr. Math Blog

Thanks for your donation!  Every little bit helps me help you!  :-)

Problem Solving - Organize Data - Lesson 2.1

Use Picture Graphs - Lesson 2.2

Make Picture Graphs - Lesson 2.3

Use Bar Graphs - Lesson 2.4

Make a Bar Graph - Lesson 2.5

Solve Problems Using Data - Lesson 2.6

Use and Make Line Plots - Lesson 2.7

Number Patterns - Lesson 1.1

Round to Nearest Ten or Hundred - Lesson 1.2

Estimate Sums - Lesson 1.3

Mental Math Strategies for Addition - Lesson 1.4

Use Properties to Add - Lesson 1.5

Use the Break Apart Strategy to Add - Lesson 1.6

Use Place Value to Add - Lesson 1.7

Estimate Differences - Lesson 1.8

Mental Math Strategies for Subtraction - Lesson 1.9

Use Place Value to Subtract - Lesson 1.10

Combine Place Values to Subtract - Lesson 1.11

Describe Plane Shapes - Lesson 12.1

Describe Angles in Plane Shapes - Lesson 12.2

Identify Polygons - Lesson 12.3 ​

Describe Sides of Polygons - Lesson 12.4

​ Classify Quadrilaterals - Lesson 12.5

​Draw Quadrilaterals - Lesson 12.6

Describe Triangles - Lesson 12.7

Chapter 12 Performance Task Review For Test

Problem Solving - Compare Fractions - Lesson 9.1

Compare Fractions with the Same Denominator - Lesson 9.2

Compare Fractions with the Same Numerator - Lesson 9.3

Compare Fractions - Lesson 9.4

Compare and Order Fractions - Lesson 9.5

Model Equivalent Fractions - Lesson 9.6

Equivalent Fractions - Lesson 9.7

Divide by 2 - Lesson 7.1

Divide by 10 - Lesson 7.2

Divide by 5 - Lesson 7.3

Divide by 3 - Lesson 7.4

Divide by 4 - Lesson 7.5

Divide by 5 - Lesson 7.6

Mid-Chapter 7 Checkpoint on Division Facts and Strategies

Divide by 7 - Lesson 7.7

Divide by 8 - Lesson 7.8

Divide by 9 - Lesson 7.9

Problem Solving - Two-Step Problems - Lesson 7.10

Order of Operations - Lesson 7.11

Problem Solving - Model Division - Lesson 6.1

Size of Equal Groups - Lesson 6.2

Number of Equal Groups - Lesson 6.3

Model (Division) with Bar Model - Lesson 6.4

Relate Subtraction and Division - Lesson 6.5

Mid-Chapter 6 Checkpoint

Model (division) with Arrays - Lesson 6.6

Relate Multiplication and Division - Lesson 6.7

Write Related Facts - Lesson 6.8

Division Rules for 1 and 0 - Lesson 6.9

Chapter 6 Review for Test - Understanding Division

Multiply with 2 and 4 - Lesson 4.1

Multiply with 5 and 10 - Lesson 4.2

Multiply with 3 and 6 - Lesson 4.3

Distributive Property - Lesson 4.4

Multiply with 7 - Lesson 4.5

Associative Property of Multiplication - Lesson 4.6

Patterns on the Multiplication Table - Lesson 4.7

Multiply with 8 - Lesson 4.8

Multiply with 9 - Lesson 4.9

Review For Test on Chapter 4

Describe Patterns - Lesson 5.1

Find Unknown Factors - Lesson 5.2

Problem Solving: Using the Distributive Property - Lesson 5.3

Multiplication Strategies with Multiples of 10 - Lesson 5.4

Multiply Multiples of 10 by 1-Digit Numbers - Lesson 5.5

Chapter 5 Review on Multiplication Facts

Third Grade

      Math

• Second Grade Math
• Third Grade Math
• Fourth Grade Math
• Fifth Grade Math
• Sixth Grade Math
• Sixth Grade Math (CA)
• Seventh Grade Math (CA)
• Eighth Grade Math (CA)
• Integrated Math 1
• Integrated Math 2
• Integrated Math 3
• PreCalculus
• AP Statistics Exam Prep
• Elementary Statistics
• ELM Practice
• Percents and Decimals
• Sixth Grade Math (Big Ideas)

Model Perimeter - Lesson 11.1

Find Perimeter - Lesson 11.2

Find Unknown Side Lengths - Lesson 11.3

Understanding Area - Lesson 11.4

Measure Area - Lesson 11.5

Use Area Models - Lesson 11.6

Problem Solving - Area of Rectangles - Lesson 11.7

Area of Combined Rectangles - Lesson 11.8

Same Perimeter - Different Area - Lesson 11.9

Same Area - Different Perimeter - Lesson 11.10

Chapter 11 Review for Test on Perimeter and Area

Please Donate, if you're a regular!

The donate link is below. Thanks so much!!

Count Equal Groups - Lesson 3.1

Relate Addition and Multiplication - Lesson 3.2

Skip Count on a Number Line - Lesson 3.3

Problem Solving - Model Multiplication - Lesson 3.4

Model with Arrays - Lesson 3.5

Commutative Property of Multiplication - Lesson 3.6

Multiply with 1 and 0 - Lesson 3.7

Time to the Minute - Lesson 10.1

A.M. and P.M. - Lesson 10.2

Measure Time Intervals - Lesson 10.3

Use Time Intervals - Lesson 10.4

Problem Solving - Time Intervals - Lesson 10.5

Measure Length - Lesson 10.6

Estimate and Measure Liquid Volume - Lesson 10.7

Estimate and Measure Mass - Lesson 10.8

Equal Parts of a Whole - Lesson 8.1

Equal Shares - Lesson 8.2

Unit Fractions of a Whole - Lesson 8.3

Fractions of a Whole - Lesson 8.4

Fractions on a Number Line - Lesson 8.5

Relate Fractions and Whole Numbers - Lesson 8.6

Fractions of a Group - Lesson 8.7

Find Part of Group Using Unit Fractions - Lesson 8.8

Problem Solving: Find the Whole Using Unit Fractions - Lesson 8.9

Copyright 2013. All rights reserved.

• Birch Creek ES
• Cedar Ridge ES
• Greenville ES
• Heritage ES
• Lewiston ES
• Millville ES
• Mountainside ES
• North Park ES
• Providence ES
• River Heights ES
• Wellsville ES
• White Pine ES
• North Cache MS
• South Cache MS
• Spring Creek MS
• Green Canyon HS
• Mountain Crest HS
• Ridgeline HS
• Sky View HS

Heritage Elementary

925 west 3200 south, nibley, ut (435) 792-7696.

• 3rd Grade Math

Page Navigation

• Kindergarten Math
• 1st Grade Math
• 2nd Grade Math
• 4th Grade Math
• 5th Grade Math
• 6th Grade Math
• 1st grād Español
• 2nd grād Español
• 3rd grād Español
• 4th grād Español
• 5th grād Español
• 6th grād Español

• 3rd Grade DLI
• 3rd grād Español
• Go Math! Grade 3
• Questions or Feedback? |
• Web Community Manager Privacy Policy (Updated) |

Have an account?

Go Math 6th Grade Lesson 7.8

Mathematics.

11 questions

Introducing new   Paper mode

No student devices needed.   Know more

12+18n+7-14n

Use the Distributive Property to write an equivalent expression.

Casey has n nickels. Megan has 4 times as many nickels as Casey has. Write an expression for the total number of nickels Casey and Megan have.

Tickets to a museum cost $8. The dinosaur exhibit costs $5 extra. The expression 8n+5n represents the cost in dollars for n people visit the museum and the exhibit. What is a simpler form of the expression is 8n+5n?

Explore all questions with a free account

Continue with email

Continue with phone

• Texas Go Math
• Big Ideas Math
• enVision Math
• EngageNY Math
• McGraw Hill My Math
• 180 Days of Math
• Math in Focus Answer Key
• Math Expressions Answer Key
• Privacy Policy

Go Math Grade 3 Answer Key Chapter 8 Understand Fractions Extra Practice

Free step by step solutions to Go Math Grade 3 Answer Key Chapter 8 Understand Fractions Extra Practice. Build fluency with the math standards by solving the 3rd Grade Go Math Answer Key Chapter 8. Students who want to score good marks in the exams can start your preparation now. You can solve the Extra Practice Questions here and check the answers provided in the Go Math Grade 3 Answer Key Chapter 8 Understand Fractions.

Practice more and more to improve knowledge in this subject. If you understand the concept you can make a question on your own and solve them. Resources are available to support your child’s learning in our Go Math Answer Key.

Common Core – Page No. 171000

Lesson 8.1 Write the number of equal parts. Then write the name for the parts.

i. 4 ii. Fourths

Explanation:

The figure shows that the square is divided into 4 equal parts. So, the name for the parts is fourths.

i. 2 ii. Halves

The circle is divided into two equal parts. Thus the name for the parts is halves.

i. 6 ii. Sixths

The hexagon is divided into six equal parts. Thus the name for the parts is sixths.

Draw lines to show how much each person gets. Write the answer.

Answer: 3 fourths of an orange

There are 3 oranges and The total number of friends = 4 We need to divide the 3 oranges for 4 friends equally = 3/4 So, each friend gets 3 fourth of the orange.

Answer: 4 sixths of a sandwich

Total number of sandwiches = 4 Number of friends = 6 To share the sandwiches equally we need to divide the number of sandwiches by a number of friends. 4/6 So, each friend gets 4 sixths of the sandwich.

Lessons 8.3–8.4

Write the number of equal parts in the whole. Write a fraction in words and in numbers to name the shaded part.

Question 6. \(\frac{□} {□}\)

i. 8 ii. Five iii. \(\frac{5} {8}\)

The square is divided into 8 eight equal parts. Among them, five parts are shaded. So, the fraction name for the shaded part is \(\frac{5} {8}\).

Question 7. \(\frac{□} {□}\)

i. 3 ii. Two iii. \(\frac{2} {3}\)

The aboved figure shows that the rectangle is divided into 3 equal parts. And 2 parts are shaded among them. The fraction name for the shaded part is 2 thirds i.e, \(\frac{2} {3}\)

Common Core – Page No. 172000

Question 1. point A: \(\frac{□} {□}\)

Answer: \(\frac{1} {6}\)

The number lies between 0 and 1. Each point is 1 sixth of the number line. So, it starts with 0/6 and ends on 6/6. Now we have to locate the point A. The point A lies between 0/6 and 2/6. The number between 0 and 2 is 1. Thus the point A is \(\frac{1} {6}\)

Question 2. point B: \(\frac{□} {□}\)

Answer: \(\frac{3} {6}\)

The point B lies between \(\frac{2} {6}\) and \(\frac{4} {6}\). The number between 2 and 4 is 3. Thus the location of point B is \(\frac{3} {6}\).

Question 3. point C: \(\frac{□} {□}\)

Answer: \(\frac{5} {6}\)

The point C is located between \(\frac{4} {6}\) and \(\frac{6} {6}\). The number between 4 and 6 is 5. Thus the location of Point C is \(\frac{5} {6}\)

Each shape is 1 whole. Write a fraction greater than 1 for the parts that are shaded.

Answer: \(\frac{8} {4}\)

There are 2 circles and each circle is equally divided into 4 groups. Number in each group = 4 Number of equal parts = 8 The shaded part of the circle = \(\frac{8} {4}\)

Answer: \(\frac{18} {6}\)

Number of circles = 3 Number of equal parts = 18 Number of shaded part in each circle = 6 So, the fraction of the shaded part is \(\frac{18} {6}\)

Write a fraction to name the shaded part of each group.

Answer: \(\frac{3} {6}\) or \(\frac{1} {2}\)

There are 6 circles, in which 3 circles are shaded and 3 circles are not shaded. So, the fraction name for the shaded part is \(\frac{3} {6}\) or \(\frac{1} {2}\)

Answer: \(\frac{1} {4}\) or \(\frac{2} {8}\)

The figure shows that there are 8 circles and in that 2 circles are shaded. So, the fraction name for the shaded part is \(\frac{2} {8}\) or \(\frac{1} {4}\)

Lessons 8.8–8.9

Draw a quick picture to solve.

Question 8. Charlotte has 12 T-shirts. One-fourth of her T-shirts is green. How many of Charlotte’s T-shirts are green? _________ green T-shirts

Answer: 3 T-shirts

Given, Charlotte has 12 T-shirts. One-fourth of her T-shirts is green. To know how many of Charlotte’s T-shirts are green we need to multiply 12 with 1/4 12 × \(\frac{1} {4}\) 12/4 = 3 Therefore there are 3 green T-shirts.

Question 9. Josh walks 18 dogs each week. Today, he is walking \(\frac{1}{3}\) of the dogs. How many dogs is he walking today? _________ dogs

Answer: 6 dogs

Given that Josh walks 18 dogs each week. Today, he is walking \(\frac{1}{3}\) of the dogs. To find how many dogs he walked today We need to multiply 18 and \(\frac{1}{3}\) 18 × \(\frac{1}{3}\) = 18/3 = 6 Thus he walked 6 dogs today.

The Go Math Grade 3 Answer Key Chapter 8 Understand Fractions Extra Practice helps to test skills in this chapter. The understanding fractions chapter includes various topics like Equal parts of a whole, unit fractions, relate fractions and whole numbers. We have provided the images for the questions for understanding. Quick and easy learning of maths is possible on our Go Math Answer Key.

Share this:

Leave a comment cancel reply.

You must be logged in to post a comment.

• Texas Go Math
• Big Ideas Math
• Engageny Math
• McGraw Hill My Math
• enVision Math
• 180 Days of Math
• Math in Focus Answer Key
• Math Expressions Answer Key
• Privacy Policy

Eureka Math Grade 8 Module 7 Lesson 3 Answer Key

Engage ny eureka math 8th grade module 7 lesson 3 answer key, eureka math grade 8 module 7 lesson 3 exercise answer key.

Exercises Find the positive value of x that makes each equation true. Check your solution.

Exercise 1. x 2 = 169 a. Explain the first step in solving this equation. Answer: The first step is to take the square root of both sides of the equation.

b. Solve the equation, and check your answer. Answer: x 2 = 169 \(\sqrt{x^{2}}\) = \(\sqrt{169}\) x = \(\sqrt{169}\) x = 13

Check: 13 2 = 169 169 = 169

Exercise 2. A square-shaped park has an area of 324 yd 2 . What are the dimensions of the park? Write and solve an equation. x 2 = 324 \(\sqrt{x^{2}}\) = \(\sqrt{324}\) x = \(\sqrt{324}\) x = 18

Check: 18 2 = 324 324 = 324 The square park is 18 yd. in length and 18 yd. in width.

Exercise 3. 625 = x 2 625 = x 2 \(\sqrt{625}\) = \(\sqrt{x^{2}}\) \(\sqrt{625}\) = x 25 = x

Check: 625 = 25 2 625 = 625

Exercise 4. A cube has a volume of 27 in 3 . What is the measure of one of its sides? Write and solve an equation. 27 = x 3 \(\sqrt [ 3 ]{ 27 }\) = \(\sqrt[3]{x^{3}}\) \(\sqrt [ 3 ]{ 27 }\) = x 3 = x

Check: 27 = 3 3 27 = 27 The cube has side lengths of 3 in.

Exercise 5. What positive value of x makes the following equation true: x 2 = 64? Explain. x 2 = 64 \(\sqrt{x^{2}}\) = \(\sqrt{64}\) x = \(\sqrt{64}\) x = 8

Check: 8 2 = 64 64 = 64 To solve the equation, I need to find the positive value of x so that when it is squared, it is equal to 64. Therefore, I can take the square root of both sides of the equation. The square root of x 2 , \(\sqrt{52}\), is x because x 2 = x ∙ x. The square root of 64, \(\sqrt{64}\), is 8 because 64 = 8 ∙ 8. Therefore, x = 8.

Exercise 6. What positive value of x makes the following equation true: x 3 = 64? Explain. Answer: x 3 = 64 \(\sqrt[3]{x^{3}}\) = \(\sqrt [ 3 ]{ 64 }\) x = \(\sqrt [ 3 ]{ 64 }\) x = 4 Check: 4 3 = 64 64 = 64 To solve the equation, I need to find the positive value of x so that when it is cubed, it is equal to 64. Therefore, I can take the cube root of both sides of the equation. The cube root of x 3 , \(\sqrt[3]{x^{3}}\), is x because x 3 = x ∙ x ∙ x. The cube root of 64, \(\sqrt [ 3 ]{ 64 }\), is 4 because 64 = 4 ∙ 4 ∙ 4. Therefore, x = 4.

Exercise 7. Find the positive value of x that makes the equation true: x 2 = 256 -1 . Answer: x 2 = 256 -1 \(\sqrt{x^{2}}\) = \(\sqrt{256^{-1}}\) x = \(\sqrt{256^{-1}}\) x = \(\sqrt{\frac{1}{256}}\) x = \(\frac{1}{16}\) x = 16 -1

Check: (16 -1 ) 2 = 256 -1 16 -2 = 256 -1 \(\frac{1}{16^{2}}\) = 256 -1 \(\frac{1}{256}\) = 256 -1 256 -1 = 256 -1

Exercise 8. Find the positive value of x that makes the equation true: x 3 = 343 -1 . x 3 = 343 -1 \(\sqrt[3]{x^{3}}\) = \(\sqrt[3]{343^{-1}}\) x = \(\sqrt[3]{343^{-1}}\) x = \(\sqrt[3]{\frac{1}{343}}\) x = \(\frac{1}{7}\) x = 7 -1

Check: (7 -1 ) 3 = 343 -1 7 3  = 343 -1 (\(\frac{1}{7}\)) 3 = 343 -1 \(\frac{1}{343}\) = 343 -1 343 -1 = 343 -1

Exercise 9. Is 6 a solution to the equation x 2 – 4 = 5x? Explain why or why not. Answer: 6 2 – 4 = 5(6) 36 – 4 = 30 32 ≠ 30 No, 6 is not a solution to the equation x 2 – 4 = 5x. When the number is substituted into the equation and simplified, the left side of the equation and the right side of the equation are not equal; in other words, it is not a true number sentence. Since the number 6 does not satisfy the equation, it is not a solution to the equation.

Eureka Math Grade 8 Module 7 Lesson 3 Problem Set Answer Key

Find the positive value of x that makes each equation true. Check your solution. Question 1. What positive value of x makes the following equation true: x 2 = 289? Explain. Answer: x 2 = 289 \(\sqrt{x^{2}}\) = \(\sqrt{289}\) x = \(\sqrt{289}\) x = 17

Check: 17 2 = 289 289 = 289 To solve the equation, I need to find the positive value of x so that when it is squared, it is equal to 289. Therefore, I can take the square root of both sides of the equation. The square root of x 2 , \(\sqrt{x^{2}}\), is x because x 2 = x ⋅ x. The square root of 289, \(\sqrt{289}\) , is 17 because 289 = 17 ⋅ 17. Therefore, x = 17.

Question 2. A square-shaped park has an area of 400 yd 2 . What are the dimensions of the park? Write and solve an equation. Answer: x 2 = 400 \(\sqrt{x^{2}}\) = \(\sqrt{400}\) x = \(\sqrt{400}\) x = 20

Check: 20 2 = 400 400 = 400 The square park is 20 yd. in length and 20 yd. in width.

Question 3. A cube has a volume of 64 in 3 . What is the measure of one of its sides? Write and solve an equation. Answer: x 3 = 64 \(\sqrt[3]{x^{3}}\) = \(\sqrt [ 3 ]{ 64 }\) x = \(\sqrt [ 3 ]{ 64 }\) x = 4

Check: 4 3 = 64 64 = 64 The cube has a side length of 4 in.

Question 4. What positive value of x makes the following equation true: 125 = x 3 ? Explain. Answer: 125 = x 3 \(\sqrt [ 3 ]{ 125 }\) = \(\sqrt[3]{x^{3}}\) \(\sqrt [ 3 ]{ 125 }\) = x 5 = x

Check: 125 = 5 3 125 = 125 To solve the equation, I need to find the positive value of x so that when it is cubed, it is equal to 125. Therefore, I can take the cube root of both sides of the equation. The cube root of x 3 , \(\sqrt[3]{x^{3}}\), is x because x 3 = x ⋅ x ⋅ x. The cube root of 125, \(\sqrt [ 3 ]{ 125 }\), is 5 because 125 = 5 ⋅ 5 ⋅ 5. Therefore, x = 5.

Question 5. Find the positive value of x that makes the equation true: x 2 = 441 -1 . a. Explain the first step in solving this equation. Answer: The first step is to take the square root of both sides of the equation.

b. Solve and check your solution. x 2 = 441 -1 \(\sqrt{x^{2}}\) = \(\sqrt{144^{-1}}\) x = \(\sqrt{144^{-1}}\) x = \(\sqrt{\frac{1}{441}}\) x = \(\frac{1}{21}\) x = 21 -1

Check: (21 -1 ) 2 = 441 -1 21 -2 = 441 -1 \(\frac{1}{21^{2}}\) = 441 -1 \(\frac{1}{441}\) = 441 -1 441 -1 = 441 -1

Question 6. Find the positive value of x that makes the equation true: x 3 = 125 -1 . Answer: x 3 = 125 -1 \(\sqrt[3]{x^{3}}\) = \(\sqrt[3]{125^{-1}}\) x = \(\sqrt[3]{125^{-1}}\) x = \(\sqrt[3]{\frac{1}{125}}\) x = \(\frac{1}{5}\) x = 5 -1

Check: (5 -1 ) 3 = 125 -1 5 -3 = 125 -1 \(\frac{1}{5^{3}}\) = 125 -1 \(\frac{1}{125}\) = 125 -1 125 -1 = 125 -1

Question 7. The area of a square is 196 in 2 . What is the length of one side of the square? Write and solve an equation, and then check your solution. Answer: Let x in. represent the length of one side of the square. x 2 = 196 \(\sqrt{x^{2}}\) = \(\sqrt{196}\) x = \(\sqrt{196}\) x = 14

Check: 14 2 = 196 196 = 196 The length of one side of the square is 14 in.

Question 8. The volume of a cube is 729 cm 3 . What is the length of one side of the cube? Write and solve an equation, and then check your solution. Answer: Let x cm represent the length of one side of the cube. x 3 = 729 \(\sqrt[3]{x^{3}}\) = \(\sqrt [ 3 ]{ 729 }\) x = \(\sqrt [ 3 ]{ 729 }\) x = 9

Check: 9 3 = 729 729 = 729 The length of one side of the cube is 9 cm.

Question 9. What positive value of x would make the following equation true: 19 + x 2 = 68? Answer: 19 + x 2 = 68 19 – 19 + x 2 = 68 – 19 x 2 = 49 x = 7 The positive value for x that makes the equation true is 7.

Eureka Math Grade 8 Module 7 Lesson 3 Exit Ticket Answer Key

Find the positive value of x that makes each equation true. Check your solution. Question 1. x 2 = 225 a. Explain the first step in solving this equation. Answer: The first step is to take the square root of both sides of the equation.

b. Solve and check your solution. Answer: x 2 = 225 \(\sqrt{x^{2}}\) = \(\sqrt{225}\) x = \(\sqrt{225}\) x = 15

Check: 15 2 = 225 225 = 225

Question 2. x 3 = 64 Answer: x 3 = 64 \(\sqrt[3]{x^{3}}\) = \(\sqrt[3]{ 64 }\) x = \(\sqrt [ 3 ]{ 64 }\) x = 4

Check: 4 3 = 64 64 = 64

Question 3. x 2 = 361 -1 Answer: x 2 = 361 -1 \(\sqrt{x^{2}}\) = \(\sqrt{361^{-1}}\) x = \(\sqrt{361^{-1}}\) x = \(\sqrt{\frac{1}{361}}\) x = \(\frac{1}{19}\) x = 19 -1

Check: (19 -1 ) 2 = 361 -1 19 -2 = 361 -1 \(\frac{1}{19^{2}}\) = 361 -1 \(\frac{1}{361}\) = 361 -1 361 -1 = 361 -1

Question 4. x 3 = 1000 -1 Answer: x 3 = 1000 -1 \(\sqrt[3]{x^{3}}\) = \(\sqrt[3]{1000^{-1}}\) x = \(\sqrt[3]{1000^{-1}}\) x = \(\sqrt[3]{\frac{1}{1000}}\) x = \(\frac{1}{10}\) x = 10 -1

Check: (10 -1 ) 3 = 1000 -1 10 -3 = 1000 -1 \(\frac{1}{10^{3}}\) = 1000 -1 \(\frac{1}{1000}\) = 1000 -1 1000 -1 = 1000 -1

Leave a Comment Cancel Reply

You must be logged in to post a comment.

go math grade 3 chapter 8

All Formats

Resource types, all resource types.

• Rating Count
• Price (Ascending)
• Price (Descending)
• Most Recent

Go math grade 3 chapter 8

Go Math Grade 3 Chapter 8 Slides

Go Math Chapter 8 Study Guide Grade 3

Go Math ! Chapter 8 Extra Test for Grade 3 for either Retake or Extra Practice!

Go Math Grade 3 Chapter 8 (Lesson Plans 8 .1- 8 .9 w/Journal Prompts & Vocabulary)

go math all LESSONS CHAPTER 8 GRADE 3 1st edition NY

• Word Document File

GO Math Chapter 8 Task Cards Grade 3 (digital options included)

Go Math Grade 3 Exit Slips- Chapter 8

Go Math ! Grade 3 Chapter 8 Vocabulary Cards

Go Math Grade 3 Chapter 8 Test

• Google Forms™

Essential Questions for Grade 3 Go Math Common Core Edition Chapters 5 - 8

GO Math Chapter 8 Practice Responses Grade 3

Grade 3 Go Math Smartboard Lesson Chapter 8 Lesson 2

• NOTEBOOK (SMARTboard) File

Grade 3 Go Math Smartboard Lesson Chapter 8 Lesson 8

Grade 3 Go Math Smartboard Lesson Chapter 8 Lesson 4

Go Math Strategies Grade 3 Chapter 8 Understand Fractions Distance Learning

Grade 3 Florida Go Math ! Chapter 8 Mid- Chapter Checkpoint FSA Style Questions

Grade 3 Go Math Chapter 8 Vocabulary

4th Grade GoMath Chapter 8 ( 8 . 3 - 8 .5) - Jeopardy Game (Google Slides)

• Google Slides™

Grade 3 Go Math Smartboard Lesson Chapter 8 Lesson 5

Grade 3 Go Math Smartboard Lesson Chapter 8 Lesson 1

Grade 3 Go Math Smartboard Lesson Chapter 8 Lesson 3

Go Math Chapter Eight Focus Wall Grade 3

Draw a Diagram Fractions Digital Lesson- Grade 3 GOMath Chapter 8 Lesson 9

• We're hiring
• Help & FAQ
• Privacy policy
• Student privacy
• Terms of service
• Tell us what you think