7th Grade - Topic 6 - Book Review

You ________ when you divide both sides of the equation 3n = 12 by 3.

• simplify the equation

• add 3 to both sides

• multiply both sides by 3

• isolate the variable n

Answer explanation

You isolate the variable n by dividing both sides of the equation 3n = 12 by 3. This simplifies the equation to n = 4, making n the subject of the equation.

Tags

CCSS.6.EE.B.7

A statement that contains >, <, ≥, ≤, or ≠ to compare two expressions is a(n) ________.

• equation

• inequality

• expression

• function

Answer explanation

A statement that uses >, <, ≥, ≤, or ≠ to compare two expressions is called an inequality. This distinguishes it from equations, which use =, and expressions or functions, which do not involve comparisons.

Tags

CCSS.6.EE.B.8

You can use the ________ to remove parentheses in the process of solving the equation -10(x + 5) = 40.

• associative property

• inverse property

• commutative property

• distributive property

Answer explanation

You can use the distributive property to remove parentheses in the equation -10(x + 5) = 40. This property allows you to multiply -10 by both x and 5, simplifying the equation.

Tags

CCSS.6.EE.A.3

The total number of students in the seventh grade is 9 more than 4 times as many students as are in the art class. There are 101 students in the seventh grade. Write and solve an equation to find the number of students in the art class. Let x represent the number of students in the art class.

• 15

• 30

• 40

• 23

Answer explanation

Let x be the number of students in the art class. The equation is 101 = 4x + 9. Solving gives 4x = 92, so x = 23. Thus, there are 23 students in the art class.

Tags

CCSS.7.EE.B.4A

5x – 6 = 44.

Solve for x.

• 10

• 6

• 12

• 8

Answer explanation

To solve for x in the equation 5x – 6 = 44, first add 6 to both sides to get 5x = 50. Then, divide both sides by 5 to find x = 10. Thus, the correct answer is 10.

Tags

CCSS.7.EE.B.4A

Solve for the given variable. 4y + 3 = 19

• 3

• 7

• 4

• 5

Answer explanation

To solve for y, subtract 3 from both sides: 4y = 16. Then, divide by 4: y = 4. Thus, the correct answer is 4.

Tags

CCSS.7.EE.B.4A

• 14

• 12

• 10

• 16

Answer explanation

To solve \( \frac{1}{2}n - 3 = 5 \), add 3 to both sides: \( \frac{1}{2}n = 8 \). Then, multiply by 2: \( n = 16 \). Thus, the correct answer is 16.

Tags

CCSS.7.EE.B.4A

• 280

• 100
• 400

• 50

Tags

CCSS.7.EE.B.3

Solve the equation –4(8 + y) = 90.

• -10
• 0
• -30.5
• -20.5

Tags

CCSS.7.EE.B.4A

Solve for x.

2x + 6x = 1000

• 300

• 200

• 125

• 150

Answer explanation

Combine like terms: 2x + 6x = 8x. Then, set the equation 8x = 1000. Divide both sides by 8 to get x = 125. Thus, the correct answer is 125.

Tags

CCSS.8.EE.C.7B