Midterm Review 2025

PEMDAS

100

6 + 4 × 5

26

200

15 ÷ 3 + 4 × 6

29

300

18 ÷ 3 - 7 + 2 × 5

9

400

(3+2)² + 5

30

500

30 ÷ 6 + (7 - 4) × 3²

32

Evaluating Expressions

100

Evaluate given x=2.

x² + 5x - 3

11

200

Evaluate given x=5.

2x² + 6x - 10

70

300

Evaluate given x=6 and y=8.

7x + 8y - 24

82

400

Evaluate given x=2, y=9, z=12.

11x + 7y + 8z

181

500

Evaluate given x=3, y=2, z=4.

x³ + 3y² - 5x + 6y - 12z + 10

-2

Simplifying Expressions

100

Combine like terms:

3x + 5 - 2x + 8

x + 13

200

Simplify using the distributive property:

3(5x - 7)

15x - 21

300

Simply by combining like terms:

3x² + 2x - 8 +7x + 10 + x²

4x² + 9x + 2

400

Simplify by first distributing, then combine like terms:

6 + 4(3x - 8) + 6x

18x - 26

500

Simplify by first distributing, then combine like terms:

x(x + 5) + 12(7x - 11)

x² + 5x + 84x - 132 =

x² + 89x - 132

Factoring

100

List all the factors of 12.

1, 2, 3, 4, 6, 12

200

List all the factors of 24.

1, 2, 3, 4, 6, 8, 12, 24

300

Find the greatest common factor of 36 and 48.

12

400

Factor the following expression:

21x - 7

7(3x - 1)

500

Factor the following expression:
-18x - 6

-6(3x + 1)

Ratios and Proportions

100

Find the value of x:

3/4 = x/12

x = 9

200

A store sells a box of 12 cans of soda for $8. What is the unit rate as a price per can?

$0.67 per can

300

In a classroom, there are 12 boys and 10 girls. What is the ratio of girls to boys in the class in simplest form?

5:6

5 to 6

400

What number is 20% of 80?

16

500

Johnny earns $12 per hour working at a pizza shop. Write an equation to represent this proportional relationship.

y = 12x

d = 12h