Free Printable EOC Algebra Review

1.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

2.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

3.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

4.

What is the y-intercept of the line with the equation
$y\ =\ -2x\ +\ 4$

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

5.

What is the slope of the line with the equation
$y\ =\ -\frac{3}{2}x\ +\ 4$

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$4$

d)

$-4$

6.

Write the equation of the graph in slope-intercept form

a)

$y=-2x-4$

b)

$y=2x\ -\ 4$

c)

$y=\frac{1}{2}x-4$

d)

$y=-\frac{1}{2}x-4$

7.

Find the slope of the line through each pair of points.

(8, 4) and (2, 6).

a)

$m\ =\ -\frac{1}{\ 3\ }$

b)

$m\ =\ \frac{\ 1\ }{\ 3\ }$

c)

m = 1

d)

m = -1

8.

Find the slope of the line that passes through:
(5, -10) and (5, -4)

a)

undefined

b)

m = 0

c)

m = - 14/10

d)

m = 10/14

9.

Find the slope from the table.

a)

1/4

b)

-1/4

c)

-4/1

d)

4/1

10.

Which equation is being represented by this line?

a)

y = -1x + 2

b)

y = 1/2x + 2

c)

y = 3x -4

d)

y = -3x +2

11.

Write the equation of a line with a slope of -3 and y intercept of 8

a)

x = 8

b)

y = -3

c)

y = 8x -3

d)

y = -3x + 8

12.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

13.

Write an equation in slope-intercept form that goes through the points (-3, -4) and (3, 4)

a)

y = 3/4x + 4

b)

y = 3/4x

c)

y = 4/3x

d)

y = 4/3x + 4

14.

Identify the x-intercept of the graph.

a)

(-4, 0)

b)

(0, -2)

c)

(0, -4)

d)

(-2, 0

15.

Identify the y-intercept of the graph.

a)

(0, 3)

b)

(-1, 0)

c)

(0, -1)

d)

(3, 0)

16.

Identify the graph with a x-intercept of 3 and a y-intercept of - 1

a)

b)

c)

d)

17.

Identify the graph with a x-intercept of -2 and y-intercept of 2

a)

b)

c)

d)

18.

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

a)

(8,10)

b)

8, 3, 0, 4, 9

c)

(0,8)

d)

(9,0)

19.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(4, -2)

c)

(4, 0)

d)

(0, 4)

20.

What is the x-intercept?

a)

12

b)

-3

c)

8

d)

0

21.

What is the y-intercept?

a)

12

b)

-3

c)

8

d)

0

22.

What are the x- and y -intercepts on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

23.

y = 5/7x +2

y = 5/7x - 30

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

24.

$y=7x+2\ \ and\ y=7x-1$

a)

perpendicular

b)

parallel

c)

neither

25.

$y=\frac{4}{5}x+2\ \ and\ y=\frac{-5}{4}x-1$

a)

perpendicular

b)

parallel

c)

neither

26.

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

a)

perpendicular

b)

parallel

c)

neither

27.

$5x-y=4\ \ and\ y=\frac{-1}{5}x+7$

a)

perpendicular

b)

parallel

c)

neither

28.

$3x-y=2\ \ and\ \ 12x-4y=4$

a)

perpendicular

b)

parallel

c)

neither

29.

$x=2\ \ and\ \ y=3$

a)

perpendicular

b)

parallel

c)

neither

30.

Given y=3x+8 write a new line that is parallel through the point (-4,6)

a)

y=3x+18

b)

y=-3x+18

c)

y=-1/3x+18

31.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

32.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

33.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

34.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

a)

3x + 2y = 315
2x + 4y = 450

b)

3x + 2y = 450
2x + 4y = 315

c)

2x + 2y = 315
3x + 4y = 450

35.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450

a)

45 minutes

b)

90 minutes
2x + 4y = 315

c)

60 minutes
3x + 4y = 450

d)

30 minutes

36.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

37.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

a)

10c + 5d = 14.25
5c + 10d = 16.50

b)

10c + 5d = 16.50
5c + 10d = 14.25

c)

c + d = 10
5c + 10d = 16.50

d)

c + d = 5
5c + 10d = 16.50

38.

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?

a)

d + n = 6.60
.10d + .05n = 80

b)

d + n = 80
d + n = 6.60

c)

d + n = 80
.10d + .05n = 6.60

d)

d + n = 80
.05d + .10n = 6.60

39.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

a)

1s + 3c = 38

2s + 3c = 52

b)

3s + 1c = 38

3s + 2c = 52

c)

s + c = 38

s + c = 52

d)

3s + 3c = 38

1s + 2c = 52

40.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

41.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

42.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

43.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

44.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

45.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

46.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

47.

Simplify the following:
(x³)⁶

a)

x⁹

b)

x¹⁸

c)

x⁶

d)

x³

48.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

49.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

50.

How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

51.

Select the answer that has a, b, and c correctly labeled:

y=-x^2+2x-9

a)

a= 1, b= 2, c= -9

b)

a= 2, b= -1, c= 9

c)

a= -9, b= 2, c= -1

d)

a= -1, b= 2, c= -9

52.

What is the equation of the line of symmetry for this quadratic function?

a)

x = -3

b)

x= .5

c)

x = 4

d)

x = -12

53.

Which direction will this parabola open?

y=2x^2+8x-16

a)

upwards

b)

downwards

54.

What is the vertex?

a)

(0,-4)

b)

(4,0)

c)

(0,0)

d)

(3,5)

55.

What is the equation for the axis of symmetry?

a)

x=0

b)

x=2

c)

x=-4

d)

y=0

56.

What is the equation for the axis of symmetry?

a)

x=-1

b)

x=8

c)

x=0

d)

y=-1

57.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

58.

What is the vertex of the quadratic function:
y = x² - 6x + 11?

a)

(3,2)

b)

(-3,-2)

c)

(-3,2)

d)

(3,-2)

59.

Determine the vertex of the parabola:
y = 5x²- 20x + 13

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

60.

What is the RANGE of this graph?

a)

-7<x<5

b)

-7≤y<5

c)

-3<x<1

d)

-3≤y<1

61.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

62.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

63.

What is the DOMAIN of this graph?

a)

-7≤x<5

b)

-7≤y<5

c)

-3<x<1

d)

-3≤y<1

64.

What is the Domain?

a)

y ≥ 6

b)

$-\infty<x<\infty$

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

65.

What is the RANGE of this graph?

a)

y < -3

b)

y ≤ -3

c)

y > 1

d)

y ≥ 1

66.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

67.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

68.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

69.

What type of function is f(x)=2(1/7)^x ?

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Above

70.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

71.

What type of function is y = 7(5/4)^x?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None of the above

72.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

73.

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

a)

(.27)^x

b)

.27

c)

13

d)

3.51

74.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

a)

y=8(15,000)^x

b)

y=15,000(1 + .08)^x

c)

y=15,000(1 - .08)^x

d)

y=15,000(0.08)^x

75.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

76.

Write an equation that models the following situation:

The current student count at John Jay is 6500, it is expected to grow at a rate of 14% next year.

a)

y= 6500(1+.14)^x

b)

y= 6500(1-.14)^x

c)

y= 6500(14)^x

d)

y= 14(6500)^x

77.

What is the exponential factor of the following graph?

a)

Growth

b)

Deccay

c)

Linear

d)

None

78.

What are the asymptotes?

a)

x=-2 and y=-1

b)

x=-2 and y=1

c)

x=2 and y=1

d)

x=2 and y = -1

79.

What is the equation of the horizontal asymptote of the given function?

a)

y = 2

b)

x = 1

c)

There isn't one

d)

y = 5

80.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

EOC Algebra Review

Total questions: 80

Worksheet time: 4hrs 29mins

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