Refer to our Texas Go Math Grade 8 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 8 Module 11 Answer Key Equations and Inequalities with the Variable on Both Sides.

## Texas Go Math Grade 8 Module 11 Answer Key Equations and Inequalities with the Variable on Both Sides

**Texas Go Math Grade 8 Module 11 Are You Ready? Answer Key**

**Find the LCD.**

Question 1.

8, 12 ________

Answer:

(List the multiples of each number)8 : 8, 16, 24, 32, …..

(Choose the least multiple the lists have in common)12 : 12, 24, 36, 48. …

LCD(8, 12) = 24

Question 2.

9, 12 ________

Answer:

List the multiples of each number

9 : 9, 18, 27, 36, …….

12 : 12, 24, 36, 48, 56, …

Choose the least multiple the lists have in common

LCD : 36

Question 3.

15, 20 _______

Answer:

List the multiples of each number

15 : 15, 30, 45, 60,…

20 : 20, 40, 60, 80,…

Choose the least multiple the lists have in common

LCD : 60

Question 4.

8, 10 ________

Answer:

List the multiples of each number

8: 8, 16, 24, 32, 40, 48,…

10: 10, 20, 30, 40, 50,…

Choose the least multiple the lists have in common

LCD : 40

**Find the product.**

Question 5.

0.683 × 100 ________

Answer:

Count the zeros in 100 : 2 zeros

0.683 × 100

Move the decimal point 2 places to the right

68.3

Question 6.

9.15 × 1,000 ________

Answer:

Count the zeros in 1000 : 3 zeros

9.15 × 1000

Move the decimal point 3 places to the right

9150

Question 7.

0.005 × 100 ________

Answer:

Count the zeros in 100 : 2 zeros

0.005 × 100

Move the decimal point 2 places to the right

0.5

Question 8.

1,000 × 1,000 ________

Answer:

Count the zeros in 1000 : 3 zeros

1000 × 1000

Move the decimal point 3 places to the right

1,000,000

**Write an algebraic equation for the sentence.**

Question 9.

The difference between three times a number and 7 is 14. __________

Answer:

Given,

The difference between three times a number and 7 is 14

Represent the unknown with a variable Times means multiplication

The difference between three times x and 7 is 14

Difference means subtraction

3x – 7 is 14

Place the equal sign

3x – 7 = 14

Question 10.

The quotient of five times a number and 7 is no more than 10. __________

Answer:

The quotient of five times x and 7 is no more then 10.

Represent the unknown with a variable.

(5x) ÷ 7 ≤ 10 (Times means multiplication.)

Question 11.

14 less than 3 times a number is 5 more than half of the number. ___________

Answer:

Given

14 less than 3 times a number is 5 more than half of the number.

Represent the unknown with a variable Times means multiplication

14 less than 3 times x is 5 more than \(\frac{1}{2}\)x

less than means subtraction

3x – 14 is 5 more than \(\frac{1}{2}\)x

more than means addition

3x – 14 is 5 + \(\frac{1}{2}\)x

Place the equal sign

3x – 14 = 5 + \(\frac{1}{2}\)x

**Texas Go Math Grade 8 Module 11 Reading Start-Up Answer Key**

**Visualize Vocabulary**

Use the ✓ words to complete the bubble map. You may put more than one word in each oval.

**Understand Vocabulary**

**Complete the sentences using the review words.**

Question 1.

A value of the variable that makes an equation true is a ___________.

Answer:

A value of the variable that makes an equation true is a “solution“.

Question 2.

The set of all whole numbers and their opposites are ____________.

Answer:

The set of all whole numbers and their opposites are “integers“.

Question 3.

An _______________ is an expression that contain s at least one variable.

Answer:

An “algebraic expression” is an expression that contains at least one variable.

**Active Reading**

Layered Book Before beginning the module, create a layered book to help you learn the concepts in this module. At the top of the first flap, write the title of the book, “Equations and Inequalities with Variables on Both Sides.”Then label each flap with one of the lesson titles ¡n this module. As you study each lesson, write important ideas, such as vocabulary and formulas, under the appropriate flap.