Free Printable Pre-Algebra Test 8-1

1.

Solve the equation:

$-3x+5=-x+9$

a)

x = 2

b)

x = -2

c)

x = -1

d)

x = 1

2.

Solve the equation:

$5x-3=2x+6$

a)

x = 9

b)

x = -3

c)

x = 3

d)

x = 1

3.

Solve the equation:

$8x-3=-19+6x$

a)

x = 11

b)

x = 8

c)

x = -11

d)

x = -8

4.

Solve the equation:

$2x+4=4x$

a)

x=2

b)

x=-2

c)

x=1/2

d)

x=-1

5.

Solve the equation represented:

a)

x = 2

b)

x = -1

c)

x = -2

d)

x = 1

6.

Write the equation shown.

a)

$3x+5=x+9$

b)

$-3x+5=-x+9$

c)

$-x+1=-x+1$

d)

$-4x=14$

7.

Solve the equation modeled:

a)

x = 9

b)

X = 1

c)

X = 3

d)

X = -3

8.

Write the equation shown:

a)

$7x=3$

b)

$5x-3=2x-6$

c)

$5x-3=2x+6$

d)

$-5x-3=-2x-6$

9.

Solve the inequality shown below.

$9x+5\ge-31$

Which of the following are contained in the solution set?

a)

-4

b)

0

c)

-1

d)

-5

e)

4

10.

Solve the inequality:

$-p-4p>-10$

a)

p > 2

b)

p = 2

c)

p < -2

d)

p < 2

11.

Which TWO of the following could be a solution to this inequality?

$-p-4p>-10$

a)

2

b)

-2

c)

5

d)

0

12.

Solve the inequality:

$6x+2+6x\le14$

a)

x < 1

b)

x ≤ 1

c)

x ≥ 2

d)

x > 1

13.

Which TWO of the following could be a solution to the inequality?

$6x+2+6x\le14$

a)

1

b)

0

c)

3

d)

5

14.

Solve.

a)

All real numbers

b)

No solution

c)

0

d)

12

15.

a)

0

b)

-8

c)

3

d)

-6

16.

At Work-It-Out, a gym membership is $50 per month with no registration fee. At Get Fit, the registration fee is $100 and memberships costs $30 per month. Which equation could be used to find the number of months, m, for which the total cost of both gyms is the same?

a)

100 + 30m = 50m

b)

50m = 30 + 100m

c)

100 + 50m = 30m

d)

50m = 100 - 30m

17.

Which of the following real-world problems can be modeled with the inequality 384 + 2x < 6x?

a)

Marta charges a flat fee of $384 plus $2 per linear foot to decorate tables for a quinceanera. Carla charges $6 per linear foot to do the same. For what number of linear feet, x, will the cost of both decorators be the same?

b)

Shawna has made 384 campaign buttons for the student council election. She plans to make 2 more buttons each hour. Marguerite plans to make 6 campaign buttons per hour. For what number of hours, x, will Shawna have the same amount of campaign buttons as Marguerite?

c)

Super Clean house cleaning company charges $384 to power wash a house plus $2 per linear foot. Power Bright charges $6 per linear foot and no flat fee. For what number of linear feet, x, will the cost of Super Clean be more expensive than Power Bright?

d)

Mega Gym charges a $384 registration fee and $2 each time the gym is used. Super Gym charges a fee of $6 every time the gym is used. What number of times, x, will Super Gym need to be used to exceed the cost of Mega Gym?

18.

Jose and Maris work for different car dealerships. Jose earns a monthly salary of $3,500 plus a 6% commission on his sales, x. Maris earns a monthly salary of $4,000 plus a 4% commission on her sales, x. For what value of sales, x, will Jose’s earnings be greater than Maris’ earnings?

Choose the inequality that could be used to solve this problem.

a)

$3500+6x>4000+4x$

b)

$3500+0.06x>4000+0.04x$

c)

$3500+0.06x<4000+0.04x$

19.

At one store a trophy costs $12.50. Engraving costs $0.40 per letter. At another store, the same trophy costs $14.75. Engraving costs $0.25 per letter. How many letters, e, must be engraved for the costs to be the same?

Which of the following equations can be used to find the value of e?

a)

$12.5+0.4e=14.75+0.25e$

b)

$12.5-0.4e=14.75-0.25e$

c)

$12.5+4e=14.75-25e$

d)

$0.4e-0.25e=14.75-12.5$

20.

Solve the equations for x:

$4\left(x-3\right)+2x=2\left(3x+6\right)$

a)

x = 0

b)

x = 6

c)

x = 3

d)

No solution

21.

Solve the equation for x:

$5\left(2-x\right)=-3\left(x-3\right)$

a)

1/2

b)

1

c)

-1

d)

3

22.

Is this a function?

a)

Yes

b)

No

23.

Is this a function?

a)

Yes

b)

No

24.

Is this a function?

$\left\{\left(-4,12\right),\left(-2,6\right),\left(0,0\right),\left(3,-9\right),\left(7,-21\right)\right\}$

a)

Yes

b)

No

25.

Is this a function?

a)

Yes

b)

No

26.

Is this a function?

a)

Yes

b)

No

27.

Which representation shows y as a function of x?

a)

b)

c)

d)

28.

What TWO ordered pairs could be added to this table and it remains a function?

a)

(-3,12)

b)

(-1,6)

c)

(0,7)

d)

(5,11)

29.

What TWO ordered pairs could be added to this table to show y as a function of x?

a)

(-5,6)

b)

(5,3)

c)

(2,-3)

d)

(4,4)

30.

Does this table represent a proportional relationship?

a)

Yes

b)

No

31.

Does this graph represent a proportional relationship?

a)

Yes

b)

No

32.

Does this table represent a proportional relationship?

a)

Yes

b)

No

33.

Which TWO tables represent non-proportional relationships?

a)

b)

c)

d)

34.

Which graph does NOT represent a proportional relationship?

a)

b)

c)

d)

35.

Find the slope of the graph.

a)

-2/3

b)

-2/3

c)

3/2

d)

2

36.

Find the y-intercept of the graph.

a)

-6

b)

4

c)

-4

d)

0

37.

Find the slope of the graph.

a)

1/2

b)

-1/2

c)

2

d)

-2

38.

Find the y-intercept of the graph.

a)

(0,3)

b)

(3,0)

c)

(-1.5,0)

d)

(0,-1.5)

39.

Find the slope and y-intercept of the graph.

a)

Slope = 4/5

b)

Slope = -4/5

c)

y-intercept = -9

d)

y-intercept = 9

e)

Slope = 5/4

40.

Find the slope of the graph.

a)

1

b)

4

c)

5

d)

0

41.

Find the y-intercept of the graph.

a)

1

b)

4

c)

5

d)

0

42.

Find the slope of the table.

a)

3/4

b)

0

c)

-2

d)

-3/4

43.

Find the y-intercept of the table.

a)

3/4

b)

0

c)

-2

d)

-3/4

44.

Find the slope of the table.

a)

-5

b)

-10

c)

0

d)

2

45.

Find the y-intercept of the table.

a)

1

b)

0

c)

-4

d)

-2

46.

The table shows the linear relationship between the number of hours Jorgia worked, x, and the amount of money she earned, y. Based on the table, how much did Jorgia earn per hour?

a)

$12.75

b)

$10.00

c)

$16.00

d)

$14.50

47.

Oliver collects stamps and he collects the same amount of stamps each month. His father gave him a book of stamps to get him started. The table shows the number of stamps, y, Oliver saves at the end of x months. How many stamps was Oliver given by his father, and how many stamps is he saving each month?

a)

Oliver was given 20 stamps, and he is saving 35 stamps each month.

b)

Oliver was given 35 stamps, and he is saving 20 stamps each month.

c)

Oliver was given 20 stamps, and he is saving 70 stamps each month.

d)

Oliver was given 55 stamps, and he is saving 35 stamps each month.

Pre-Algebra Test 8-1

Total questions: 47

Worksheet time: 4hrs 55mins

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