Free Printable Algebra EOS Review

1.

Simplify the expression: $6x - 2(3x - 5)$

a)

$6x - 6x + 10$

b)

$6x - 6x - 10$

c)

$6x - 6x + 5$

d)

$6x - 6x - 5$

2.

Simplify the expression: $3(2x + 1) - 4(x - 2)$

a)

$6x + 3 - 4x + 8$

b)

$6x + 3 - 4x - 8$

c)

$6x + 3 + 4x - 8$

d)

$6x + 3 + 4x + 8$

3.

Simplify the expression: $8x + 3(2x - 5) - x$

a)

$8x + 6x - 15 - x$

b)

$8x + 6x - 15 + x$

c)

$8x + 6x + 15 - x$

d)

$8x + 6x + 15 + x$

4.

(4y - 8) - (3y - 9)

a)

7y - 17

b)

y + 1

c)

y - 17

d)

7y + 17

5.

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

6.

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

a)

2x² + x + 2

b)

x + 2

c)

2x² + x - 10

d)

x - 10

7.

-(8n - 2) = 3 + 10(1 - 3n)

a)

n = 1/2

b)

n = -1/2

c)

n = 2

8.

−6n − 20 = −2n + 4(1 − 3n)

(a)

9.

Solve the equation:
4 - 6x - 2= -2(3x-1)

a)

no solution

b)

all real numbers

c)

x = ⅓

d)

x = 4

10.

Solve:
$-\left(8x-4\right)-\left(6x-2\right)=6-4x+5x$

a)

infinitely many solutions

b)

no solution

c)

$x=0$

d)

$x=-2$

11.

Which of the inequalities below best describes the domain of the function shown on the graph?

a)

-2 ≤ x ≤ 2

b)

-5 ≤ x ≤ -3

c)

-2 ≤ x ≤ 3

d)

-5 ≤ x ≤ 3

12.

What is the range of the function graphed?

a)

-3 < x ≤ 6

b)

-3 < y ≤ 6

c)

2 < y ≤ 6

d)

2 < x ≤ 6

13.

What is the domain of this linear function

a)

$-1.5<x<5$

b)

All Real numbers

c)

All Real numbers less than 5

d)

$10<x<10$

14.

What is the domain of the function?

a)

-7 < x < -1

b)

-7 < x < -1

c)

-9 < y < -1

d)

-7 < x < 5

15.

a)

A

b)

B

c)

C

d)

D

16.

a)

A

b)

B

c)

C

d)

D

17.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(4, -2)

c)

(4, 0)

d)

(0, 4)

18.

What is the slope of the line represented by $5x-12y=24$ ?

a)

$-2$

b)

$\frac{24}{5}$

c)

$-12$

d)

$\frac{5}{12}$

19.

Which graph represents $2x-5y=-10$

a)

b)

c)

d)

20.

What is the y-intercept of $8x+4y=-48$

a)

(0, 6)

b)

(0, -6)

c)

(0, 12)

d)

(0, -12)

21.

Which equation represents this graph?

a)

y = 5(x - 3) + 6

b)

y = 3/4(x - 4) + 2

c)

-6x + 8y = 24

22.

This coordinate is an example of...

(0, 0)

a)

x-intercept

b)

y-intercept

c)

both

d)

neither

23.

What is the zero of the graph?

a)

(3, 0)

b)

(0, 3)

c)

(1, 0)

d)

(0, 1)

24.

what is the zero of the graph?

a)

(-2, 0)

b)

(0, -2)

c)

(4, 0)

d)

(0, 4)

25.

a)

A

b)

B

c)

C

d)

D

26.

(a)

27.

a)

F

b)

G

c)

H

d)

J

28.

(a)

29.

Write the equation of the line.

a)

y= -1x + 3

b)

y= 3x - 1

c)

y= -1/3x - 1

d)

y= -3x - 3

30.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

31.

Convert the equation y - 5 = 2(x + 3) from point-slope form to slope-intercept form.

a)

y = 2x + 8

b)

y = 2x + 5

c)

y = 2x - 11

d)

y = 2x + 11

32.

This table shows the linear relationship between x and y. Which equation models the data in the table in standard form?

a)

y=-2x+3

b)

3x-y=-16

c)

10y+3x=16

d)

2x+3y=-6

33.

What is the equation of the line that goes through the points ( 3, - 1 ) and ( 2, - 4 )?

a)

y = 3x - 4

b)

y = - 3x + 8

c)

y = 3x - 1

d)

y = 3x - 10

34.

Solve the system using elimination.

2x + 3y = 12

5x - y = 13

a)

(-3, -2)

b)

(1.5, 2)

c)

(3, 0)

d)

(3, 2)

35.

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

a)

Sugar Cookies $5
Oatmeal Cookies $3

b)

Sugar Cookies $4
Oatmeal Cookies $8

c)

Sugar Cookies $2
Oatmeal Cookies $6

d)

Sugar Cookies $3
Oatmeal Cookies $6

36.

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?

a)

Van 43
Bus 14

b)

Van 11
Bus 21

c)

Van 14
Bus 43

d)

Van 17
Bus 45

37.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

a)

(35, 52)

b)

(18, 69)

c)

( 52, 35)

d)

(61, 26)

38.

Tania had 35 coins in pennies and nickels. She had $1.03. Which system of equations could be used to determine the number of coins she has?

a)

.01p + .05n = 35

p + n = 103

b)

1p + 5n = 1.03

p + n = 35

c)

.01p + .05n = 1.03

p + n = 35

d)

.05p + .01n = 1.03

p + n = 35

39.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

40.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

41.

Which of the following equations match the given graph?

a)

$y\ ≥\ \frac{2}{5}x+1$

b)

$y≥-\frac{2}{5}x+1$

c)

$y≤\ \frac{2}{5}x+1$

d)

$y≥-\frac{2}{5}x-1$

42.

Which of the following equations match the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

43.

What is the equation of the graph below?

a)

$y>-3x+2$

b)

$y<-3x+2$

c)

$y\le-3x+2$

d)

$y\ge-3x+2$

44.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

45.

Which point below is NOT a part of the solution set?

a)

(0, 0)

b)

(0, 1)

c)

(-100, -3)

d)

(5, 10)

46.

Determine whether point A is a solution to the linear inequality that is shown.

a)

Yes

b)

No

c)

Sometimes

47.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

48.

Identify the graph of the following linear inequality.

$x\ -\ 2y\ >\ 6$

a)

b)

c)

d)

49.

Identify the graph of the following linear inequality.

$-4x\ +\ 6y\ \le\ -12$

a)

b)

c)

d)

50.

Identify ALL of the solutions for the inequality.

$3x\ -\ y\ >3$

a)

(4, 0)

b)

(0, -3)

c)

(2, -3)

d)

(0, 0)

51.

Identify ALL of the solutions for the inequality.
$y\ \le\ 2x\ +\ 1$

a)

(3, -3)

b)

(-2, -3)

c)

(0, 0)

d)

(-4, 2)

52.

Identify which linear inequality has (4, -2) as a solution.

a)

$x\ -\ 4y\ >\ 4$

b)

$y\ >\ -\frac{1}{4}x\ -\ 1$

c)

$2x\ +\ 3y\ >\ 6$

d)

$-6x\ -\ 8y\ <\ -16$

53.

What is the solution to the system of equations represented in the tables above?

a)

(-2, 1)

b)

(1, -2)

c)

No Solution

d)

Infinitely Many Solutions

54.

Which system do the tables represent?

a)

$a.\ y=\frac{1}{2}x+2$

$y=-x-3$

b)

$b.\ y=\frac{1}{2}x+2$

$y=x-3$

c)

$c.\ y=-\frac{1}{2}x-3$ $y=-x+2$

d)

$d.\ y=-\frac{1}{2}x+3$ $y=x+2$

55.

Which system do the tables represent?

a)

$a.\ y=\frac{2}{3}x+2$ $y=\frac{1}{2}x+2$

b)

$b.\ y=\frac{2}{3}x+2$ $y=2x+2$

c)

$c.\ y=-\frac{2}{3}x+2$ $y=2x+2$

d)

$d.\ y=-\frac{2}{3}x+2$ $y=-\frac{1}{2}x+2$

Algebra EOS Review

Total questions: 55

Worksheet time: 3hrs 9mins

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