Unit 6 review: Variables, exponents & expressions

Variables

100

Where is the variable in this equation?

4n + 7 = 23

n

200

Solve for the variable

3 + N - 5 = 8

N = 10

300

Solve for the variable

3N + 8 = 35

N= 9

400

Which of these can be a solution for N?

2N + 8 = 4N - 12

A) N = 4

B) N = 2

C) N = 10

C) N = 10

500

Solve for P

6p + 5 = 3p + 20

P = 5

Distributive Property

100

True or false?

2(4c - 5) = 8c + 10

False (= 8c - 10)

200

Use the distributive property to help you figure out (without paper or calculators)... 

7 x 23

7 x 23 = 7 x 20 + 7 x 3= 140 + 21 = 161

300

Which choice = 12a + 18b

A) 3 (4a - 6b)

B) 6 (2a + 3)

C) 3 (4a + 6b)

D) 6 (2a + 18b)

C) 3 (4a = 6b)

400

Calculate (without paper or calculator)

5 x 37

using the distributive property

5 x 37 = 5(30 + 7) = 150 + 35 = 185

500

15b + 12d = 3 (5b + ?d)

? =

A) 12

B) 4

C) 7

D) none of these

B) ? = 4

Exponents

100

5² = ?

25

200

3^{3 = ?}

27

300

4 squared = ?

4^{2 =} 4 x 4 =  16

400

5 cubed = ?

5^{3 =}  5 x 5 x 5 = 125

500

7^{5 divided by} 7^{3 =} ?

7^{2 =} 49

Independent or Dependent variable?

100

Which is the dependent variable?

T = .75n

T

200

Which is the independent variable?

P = 5 + S

S

300

Find the answer for the dependent variable if the independent variable = 12

M = 6 + 2P

M = 30

400

What is the independent variable if the dependent variable is 10?

N = 7 + P

P = 3

500

Give a solution for the dependent variable if the independent variable is 12

L = P + 3(2)

L = 18

Evaluate for solution

100

Solve for x

2x + 5 = 21

x = 8

200

5x + 10 = 3x + 20

x = 5

300

3² +  5 x 2 = N

N = 19

400

(4 + 2)² + 2 x 10 = A

A = 56

500

What is the answer to this expression if n = 3 and p = 5?

5 (3n + 4p)

145