Study Guide

Solve the equation.

4x + 7 − 6x = 5 − 4x + 4

• x = -4

• x = 3

• x = 1

• x =-1

Solve the equation.

3m = 5(m + 3) − 3

• m = 0

• m = 6

• m = 7.5

• m = -6

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

• 4m + 8
• 8m - 4
• 8m + 4
• 4m - 8

Write a word phrase to represent the following algebraic expression:

9n+1

• the quotient of 9 and a number plus 1

• the product of 9 and a number plus 1

• 1 more than the quotient of 9 and a number

• 1 more than the product of 9 and a number

Translate this phrase into an algebraic expression.

the difference of 33 and number

Use the variable c to represent the unknown number.

• c-33

• 33-c

• 33c

• 33/c

the difference of a number and six

• x + 6

• x - 6

• 6 - x

• x/6

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

• 10.95x + 12.57 = 89.22

• 12.57x + 10.95 = 89.22

• 89.22x -10.95 = 12.57

• 12.57 + 10.95 = 89.22

Mallory bought pizza and soda for her End of Summer party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22? Which equation models this scenario?

• 10.95x + 12.57 = 89.22

• 89.22x - 10.95 = 12.57

• 12.57x + 10.95 = 89.22

• 12.57 + 10.95 = 89.22

Amy had $26 dollars to spend on school supplies. After buying 10 pens at the same price, she had $14.30 left. Write an equation to determine how much each pen cost.

• 14.30/p + 10 = 26

• 26/p = 24.30

• 10p - 14.30 = 26

• 14.30 + 10p = 26