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.
