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PACE Unit 3 Initial Assessment 1 Review

Total questions: 11

Worksheet time: 10mins

Name
Class
Date
1.

Solve:

x - 15 = -12

a)

x = 3

b)

x = -3

c)

x = -27

d)

x = 27

2.

-x = 20

a)

x = 20

b)

x = -20

c)

No solution

d)

x = 21

3.

 x6=30\frac{x}{6}=-30  

a)

x = -180

b)

x = -5

c)

x = 5

d)

x = 180

4.

6k - (-9) = 33

a)

k = -4

b)

k = 7

c)

k = -7

d)

k = 4

5.

 x10+4 = 14\frac{x}{10}+4\ =\ 14  

a)

x = 10

b)

x = 180

c)

x = 100

d)

x = 40

6.

Simplify the expression by combining like terms:

5y - 7 + 17y

a)

12y + 7

b)

22y - 7

c)

-12y - 7

d)

29y

7.

Simplify the expression by combining like terms:

4(7x - 8) + 2(5x - 9)

a)

38x - 50

b)

38x - 14

c)

18x - 50

d)

18x + 14

8.

Jackie bought 2 pairs of ballet slippers AND a tutu from DanceWorks. She remembered that the 2 pairs of ballet slippers were $29 each and that the total cost was $148. Which equation can be used to find t, the cost of the tutu?

a)

t + 58 = 148

b)

2t + 29 = 148

c)

2t + 58 = 148

d)

3t = 148

9.

Caroline owns a stand-up paddleboard rental company. She charges an initial fee of $6 and an hourly rate of $10. Jacob spent a total of $36 renting a paddleboard. Which equation can be used to find x, the number of hours Jacob rented the paddleboard?

a)

6x + 10 = 36

b)

36 - 6x = 10

c)

6x - 10x = 36

d)

10x + 6 = 36

10.
Solve for x.
a)
16
b)
11
c)
50
d)
6
11.

The sum of the angles in a triangle is 180 degrees. If triangle JKL is a scalene right triangle (meaning that the measure of each angle in the triangle is different) and <J measures 90 degrees, <K measures 3a degrees, and <L measures 7a degrees, what are the measures of <K and <L?

a)

<K = 9 degrees; <L = 9 degrees

b)

<K = 27 degrees; <L = 63 degrees

c)

<K = 30 degrees; <L = 70 degrees

d)

<K = 10 degrees; <L = 10 degrees