6.EE.B.5 Solving Equations

Find a solution

100

5b = 100

b = 20

200

y + 18.5 = 30

y = 11.5

300

162 = 18z

z = 9

400

m/13 = 65

m = 845

500

(16 + h)/4 = 6

h = 8

Inverse

100

h + 300 = 317

h = 17

200

81 div g = 9

g = 9

300

7y = 49

y = 7

400

(2w)/8=4

w = 16

500

3y - 12 = 9

y = 7

Substitution

100

True or False

The following equation has a solution of 7

8r = 56

True

200

Select all of the following equations that have a solution of 5

a.  y^5 = 5

b.  30 div y = 6

c.  20 - y = 15

d.  7y = 49

B and C

300

True or False: which of the following equations have a solution of 11

11g=121

g/11 = 1

g^3 = 11

g - 5 = 17

T, T, F, F

400

True or False, which of the following equations have a solution of 8?

n + 1 = 8

n - 1 = 7

n^2 = 64

n/2 = 4

F, T, T, T

500

True or False, which of the following equations have a solution of 17

2(u) = 34

-u + 20 = 3

u^2 = 290

2(u + 3) = 60

T, T, F, F

Equivalent Expressions

100

Enter an expression equivalent to 3(9x + 8) that is written as the sum of two terms. 

27x + 24

200

Enter an expression equivalent to 21y - 49 that is written as the product of two factors.

7(3y - 7) 

300

Enter an expression equivalent to 7r - 2r + r + r³ - 3 + 14

6r + r³ + 11

400

Select all expressions equivalent to 3(4w + 2w + w)

A. 12w + 6w + 3w

B. 21w

C. 7w + 5w + 4w

D. 12w + 2w + w

E. 7w + 7w + 7w

A, B, E

500

An expression equivalent to 36y + 24 can be written as the product of two factors. One of the factors is 12. Enter the other factor that will multiply to make 36y + 24.

(3y + 2)

PEMDAS

100

Evaluate.

3(9 - 2) + (6 - 2)

25

200

Evaluate.

4^4 + 7(9-4)

291

300

Evaluate.

4(7 + 3) + (9 - 2)^2

89

400

Evaluate.

9^3 - 5^3 + 2(17 - 2)

634

500

Evaluate.

8^3 + 4^4 - 10(40 + 30)

68