Simplify
Equations
Inequalities
Prime factorization
Expression
100

Which value is equivalent to 5 - 2(3)2 + 4?

A. -27

B. 5

C. -9

D. 31

C. -9

100

Solve for k.

7 = k − (–1)

k = 6

100

At a store, each avocado costs $0.65. Which inequality represents the number of avocados, n, a customer can buy with $10.00? 

A. 0.65n ≥ 10

B. 10n ≤ 0.65

C. 0.65n ≤ 10

D. 10n ≥ 0.65

C. 0.65n ≤ 10

100

What is the prime factorization of 20? 

A. 2 x 2 x 5

B. 2 x 2 x 2 x 5

C. 2 x 4 x 5

D. 2 x 2

A. 2 x 2 x 5

100

Which expression is equivalent to 10 + 54?

A. 10 + 5 ⋅ 4

B. (10 + 5)4

C. (10 + 5) ⋅ 4

D. None of these

D. None of these

200

Simplify 9 × 32 ÷ 9 – 4

5

200

Solve for f.

–f = –4

f = 4

200

An inequality is shown.

9w < 108

What is the solution to this inequality?

A. w > 1/12

B. w < 12

C. w < 1/12

D. w > 12

B. w < 12

200

What is the prime factorization of 16? 

A. 2 x 2 x 2 x 2 x 2

B. 2 x 2 x 2 x 2

C. 2 x 2 x 4

D. 2 x 2 x 2

B. 2 x 2 x 2 x 2

200

Which expression is equivalent to (3p + 2) ⋅ 7?

A. 3p + 9

B. 3p + 14

C. 21p + 2

D. 21p + 14

D. 21p +14

300

Simplify 53 – 30 ÷ 3 + 42 

131

300

Solve for r.

r + 4 = –5

r = -9

300

Once Farid spends 15 minutes on a single level in his favorite video game, he loses a life. He has already spent 10 minutes on the level he's playing now.

Let x represent how many more minutes Farid can play on that level without losing a life. Which inequality describes the problem? 

A. 10 + x > 15

B. 10 + x < 15

C. 15 + x > 10

D. 15 + x < 10

B. 10 + x < 15

300

What is the prime factorization of 48?


24 x 3 or 2 x 2 x 2 x 2 x 3

300

Which expression is equivalent to (6 ⋅ p) + 3?

A. 3 - (6 ⋅ p)

B. 3 + (p ⋅ 6)

C. 6 + 3 ⋅ p

D. 6 ⋅ (p + 3)

B. 3 + (p ⋅ 6)

400

Simplify 6 – 12 ÷ 4 + 92 × 2

165

400

What value of x makes this equation true?

-90 = -100 + x

A. -10

B. 10

C. -190

D. 190

B. 10

400

Darren is making veggie burgers for his family. He will use all the burger mix he made to form 4 burgers of equal weight. The recipe only makes 32 ounces of burger mix, but Darren made more than that to make extra-big burgers.

Let x represent how much each of Darren's burgers will weigh. Which inequality describes the problem?

A. 4x > 32

B. 4x ≥ 32

C. 4x < 32

D. 4x ≤ 32


A. 4x > 32

400

What is the prime factorization of 72?

23 x 32 or 2 x 2 x 2 x 3 x 3

400

Which two expressions are equivalent?

A. 4 + (3 ⋅ y) and (4 + 3) ⋅ y

B. (18 ÷ y) + 10 and 10 + (y ÷ 18)

C. 12 - (y ⋅ 2) and 12 - (2 ⋅ y)

D. (10 - 6) ÷ y and 10 - (6 ÷ y) 

C. 12 - (y ⋅ 2) and 12 - (2 ⋅ y)

500

18 ÷ 6 + 82 × 3 + 25

227

500

An equation is shown.

8x - 2x = 48

What is the solution to the equation?

A. x = -8

B. x = 1/8

C. x = 8

D. x = -1/8

C. x = 8

500

Mr. Brown is splitting his students into groups to give presentations about novels they read. He wants each group to have 4 students. There are fewer than 24 students in class today, so Mr. Brown can't make as many full groups as he had planned.

Let x represent how many full groups Mr. Brown can make. Which inequality describes the problem?

A. 4x > 24

B. 4x ≤ 24

C. 4x < 24

D. 4x ≥ 24



C. 4x < 24

500

What is the prime factorization of 660?

22 x 3 x 5 x 11

500

Which two expressions are equivalent?

A. 3(2x + 5) and 6x + 5 

B. 2 (3x+5) and 6x+15 

C. 3(2x+5) and 6x +10 

D. 2 (3x+5) and 6x+10

D. 2 (3x+5) and 6x+10

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