Free Printable Algebra EOC practice

1.

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

a)

-2

b)

24/5

c)

-12

d)

5/12

2.

What is the domain of f(x)=9-x²?

a)

f(x) ≥ 9

b)

All real numbers

c)

-3 ≤ x ≤ 3

d)

x ≤ 9

3.

What is the range?

a)

{x| x= -2, 2, 4}

b)

{x| -2 ≤ x ≤ 4}

c)

{y| -3 ≤ x ≤ 4}

d)

{y|y= -3, 0, 4}

4.

A plane can carry a maximum cargo weight of 160,000 pounds. A company uses one of these planes to ship 2,000-pound containers. The total cargo weight is a function of the number of containers in the plane. What is the greatest value in the domain for this situation?

a)

162,000

b)

320,000,000

c)

80

d)

158,000

5.

The student council sent its members on four field trips during the school year. The number of buses needed to transport the members on each trip is a function of the number of members who went on each trip. This function consists of only the ordered pairs (52,3), (72,4), (86,5), and (105,6). What is the domain for this situation?

a)

{52, 105}

b)

{3, 4, 5, 6}

c)

{52, 72, 86, 105}

d)

{3, 4, 5, 6, 52, 72, 86, 105}

6.

a)

All real numbers

b)

All real numbers greater than or equal to -8

c)

All real numbers greater than or equal to -7

d)

All real numbers greater than or equal to 0

7.

Which statement is true?

a)

The range is the set of all real numbers less than 0.

b)

The domain is the set of all real numbers greater than -4.

c)

The domain is the set of all real numbers less than -4.

d)

The range is the set of all real numbers greater than 0.

8.

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c = 34.95u + 6.25, where u is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the volleyball team, what is the domain of the function for this situation?

a)

0 < u ≤ 12

b)

0 < c ≤ 425.65

c)

{8, 9, 10, 11, 12}

d)

{285.85, 320.80, 355.75, 390.70, 425.65}

9.

What is the range of this situation?

a)

All real numbers greater than or equal to 0 and less than or equal to 9

b)

All real numbers greater than or equal to 0 and less than or equal to 28

c)

All real numbers less than or equal to 28

d)

All real numbers less than or equal to 9

10.

Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than 2?

a)

b)

c)

d)

11.

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4. What is the range of the function for this situation?

a)

{0, 1, 2, 3, 4, 5, 6}

b)

{4, 24, 44, 64, 86, 104, 124}

c)

{0, 2, 4, 6}

d)

{4, 44, 84, 124}

12.

a)

x ≥ 0

b)

y ≥ 250,000

c)

0 ≤ x ≤ 110

d)

250,000 ≤ y ≤ 1,000,000

13.

a)

-9 < x ≤ 2

b)

-9 ≤ x < 2

c)

-6 < f(x) ≤ 3

d)

-6 ≤ f(x) < 3

14.

Which graph best represents a function with a range of all real numbers greater than or equal to -6?

a)

b)

c)

d)

15.

Which table shows the same rate of change of y with respect to x as y = 4 - ⅝x?

a)

b)

c)

d)

16.

The graph of the function is shown. What is the slope of the function?

a)

-1/3

b)

-3

c)

1/3

d)

3

17.

What is the slope of a line passing through (9,2) and (-9, -6)?

a)

9/4

b)

-4/9

c)

4/9

d)

-9/4

18.

Which of the following linear functions will have a rate of change of 2/3?

a)

A function whose graph is a line that contains (6,10) and (10, 12)

b)

A function whose equation is 3x - 2y = 12

c)

A function whose equation is 2x - 3y = 9

d)

A function whose graph has an x-intercept of (3,0) and a y-intercept of (0,2)

19.

Look at the lines graphed. Which line appears to have a slope of 1.5?

a)

Line a

b)

Line b

c)

Line c

d)

Line d

20.

What is the rate of change of the line graphed?

a)

12

b)

-0.4

c)

-2.5

d)

5.5

21.

Which of the following data sets belong to a linear function with a rate of change of 3?

a)

I and II only

b)

I only

c)

III only

d)

I, II, and III

22.

The slope of a line that passes through the points (-6, w) and (-10, 4) is 1/8. What is the value of w?

a)

36

b)

34

c)

9/2

d)

1/2

23.

A linear function contains the point (4, 9) and has a slope of 4. Which of the following points will also belong to the function?

a)

(0, -7)

b)

(-1, -10)

c)

(3, 6)

d)

(1, 2)

24.

Which describes the range of the function with the graph shown?

a)

All real numbers greater than or equal to 0

b)

All real numbers greater than or equal to -6

c)

All real numbers

d)

All real numbers greater than or equal to -5

25.

a)

0 ≤ x ≤ 3

b)

0 ≤ x ≤ 60

c)

0 ≤ f(x) ≤ 3

d)

60 ≤ f(x) ≤ 90

26.

a)

Negative correlation

b)

Positive correlation

c)

No correlation

d)

Absolute correlation

27.

a)

The speed of the rocket was greatest at about 6 seconds after it was fired.

b)

The rocket traveled 180 meters.

c)

The rocket reached its maximum height in about 6 seconds.

d)

The rocket returned to the ground in about 6 seconds.

28.

What are the solutions to the equation 0 = x²+ 3x - 10?

a)

x = -2, x = -5

b)

x = -2, x = 5

c)

x = 2, x = 5

d)

x = 2, x = -5

29.

A function is described by the equation f(x) = 2x + 3. The domain is {2, 4, 6, 8}. What is the range?

a)

{4, 8, 12, 16}

b)

{2, 4, 6, 8}

c)

{1, 5, 9, 13}

d)

{7, 11, 15, 19}

30.

What are the roots of the quadratic equation 2x² + 6x - 20 = 0?

a)

2 and 5

b)

-2 and 5

c)

2 and -5

d)

-2 and -5

31.

What is the slope of this line?

a)

0

b)

-3

c)

Undefined

d)

1

32.

What is the equation of the linear function graphed?

a)

x = -3

b)

x = -4

c)

y = -4

d)

y = -3

33.

Jamie and Cynthis sold a total of 84 raffle tickets. Jamie sold 3 fewer than twice the number Cynthis sold. Which system of equations could be used to determine the number of raffle tickets sold by Jamie, j, and Cynthia, c?

a)

j + c = 84

j = 3 - 2c

b)

j + c = 84

c = 2j +3

c)

j + c = 84

j = 3c + 2

d)

j + c = 84

j = 2c -3

34.

What is the rate of change of y with respect to x of the line graphed?

a)

5/3

b)

-5/3

c)

3/5

d)

-3/5

35.

Identify the domain of the following relation:

a)

{-6, 14, 2, 28}

b)

{-6,14, 0, 32, 2, 38, 4,44}

c)

{-6, 0, 2, 4}

d)

{14, 32, 38, 44}

36.

Which graph is not a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

37.

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)

38.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

39.

What is the range?

a)

x = 2

b)

−∞ < x < ∞

c)

y = 2

d)

none of these

40.

What is the domain?

a)

x = 2

b)

All real numbers

c)

y = 2

d)

None of these

41.

What value of x makes the following true?

6(5x - 3) + 2 = 14

a)

2

b)

.5

c)

-1

d)

1

42.

What is the solution to this equation?

2(a + 4) = 2a - 8 + 4a

a)

3

b)

-3

c)

-4

d)

4

43.

Which value of p makes the equation true?

a)

p=31.3

b)

p=308

c)

p=924

d)

p=532

44.

Write an equation that could be used to find how many packs of DVDs you can buy with 168 dollars if one pack costs 12 dollars.

a)

168x = 12

b)

12x = 168

c)

12(168) = x

d)

12 / x = 168

45.

Write an equation from the following description: Bob sells popcorn at 50 cents per bag.

a)

y=5x

b)

y=0.5x

c)

y=1/5x

d)

y=1/0.5x

46.

Rita works at a music store. On Tuesday, she sold 6 more than 3 times the number of guitars that she sold on Monday. Rita sold a total of 110 guitars over the two days. Write a system of equations that can be used to find the number of guitars she sold on Monday and Tuesday. Let m = number of guitars sold on Monday and

t = number of guitars sold on Tuesday.

a)

m + t =9

t = 6 + 3m

b)

m + t = 110

t = 6 + 3m

c)

m + t = 110

m = 6 + 3t

d)

m + t = 110

t = 3m - 6

47.

An Algebra book has a total of 1382 pages which is broken into two parts. The second part of the book has 64 more pages than the first part. Write a system of equations to find the number of pages for each part of the book. Let x = number of pages of the first part of the book and y = number of pages of the second part of the book

a)

x + y =1382
y = 64x

b)

x + y =1382
y = 64 + x

c)

x + y =1382
y = x - 64

d)

x + y =1382
y = -64x

48.

At a holiday ski resort, skis cost $16 to rent and snowboards cost $19. If 28 people rented on a certain day and the resort brought in $478, which system could be used to determine the number of skis (s) and snowboards (b) rented?

a)

s+b=478
19s+16b=28

b)

s + b = 28
16s+19b=478

c)

s+b=478
16s+19b=28

d)

s+b=28
19s+16b=478

49.

Give the y-interecept
5x + y = 5

a)

(1,0)

b)

(0,5)

c)

(5,0)

d)

(0,1)

50.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

51.

What is the equation in slope intercept form of the line that passes through (5, -1) and is parallel to y = -3/5x - 4.

a)

y = 3/5x - 4

b)

y = -3/5x + 1

c)

y = 5/3x - 28/3

d)

y = -3/5x + 2

52.

Which graph best represents g(x) = f(-x) -4

a)

b)

c)

d)

53.

The total amount of David's paycheck varies directly with the amount of time he works. If his paycheck was $280 for working 35 hours, how much will his paycheck be for working 24 hours.

a)

$8

b)

$192

c)

$144

d)

$105

54.

Which expression is equivalent to $2\sqrt{96}$ ?

a)

$4\sqrt{6}$

b)

$6\sqrt{36}$

c)

$8\sqrt{6}$

d)

$2\sqrt{6}$

55.

The graph of function g is shown on the grid. Which statement is supported by the graph.

I. vertex is (-4, -1)

II. the y intercept is (-3, 0)

III. the axis of symmetry is x = -1

a)

I, II, III

b)

I and II only

c)

III only

d)

I and III only

56.

I bought $3 each for tacos and $1.50 each for sodas and spent a total of $15. I purchased a total of 6 items. Which systems of equations can be used to find the total number of tacos and sodas that were purchased?

a)

x - y = 6

3x - 1.5y = 21

b)

x + y = 15

1.5x + 3y = 6

c)

3x + 1.5y = 15

x + y = 6

d)

x + y = 15

x + y = 6

57.

$g\left(x\right)\ =\ 3\left(x\ +\ 14\right)^2\ -2$ What is the domain and range:

a)

Domain: All real numbers
Range: $g\left(x\right)\ \ge-2$

b)

Domain: $0\ge x\ge-14$
Range: $g\left(x\right)\ \ge-2$

c)

Domain: All real numbers
Range: $0\le y\le-2$

d)

Domain: All real numbers
Range: All real numbers

58.

Which function is equivalent to f(x) = $4x^2+16x+15$

a)

f(x) = (x + 15) (x + 1)

b)

f(x) = (2x + 15) (2x +1)

c)

f(x) = (4x + 5) (x +3)

d)

f(x) = (2x+3) (2x+5)

59.

Which graph best represent this system of inequalities?
4x + 3y > -6
x - 3y $\le$ -9

a)

b)

c)

d)

60.

The value of y varies directly with x, and y = -18 when x = 6. find y when x = -8.

a)

-3

b)

24

c)

-24

d)

8

61.

What is the solution to this sytem?

y = -3x + 2

y = 2x - 3

a)

(1, -1)

b)

no solution

c)

(-1, -1)

d)

(-1, 1)

62.

Which expression is equivalent to $14c^2d^{4\ }+\ 7cd^2$ .

a)

$7cd^2\left(2cd^2\ +\ 7cd\right)$

b)

$7cd^2\left(2cd^2\ +\ 1\right)$

c)

$7cd\ \left(cd^3\ +\ cd\right)$

d)

$7c^2d^2\ \left(2cd\ +\ cd\right)$

63.

What is the solution to the system

x + 2y = 6

5x + 2y = 18

a)

(1.5, 3)

b)

(-3, 1.5)

c)

No solution

d)

(3, 1.5)

64.

Which is NOT an example of a function?

a)

b)

c)

d)

65.

Which does NOT shows y as a function of x?

a)

b)

c)

d)

66.

Which expression is equivalent to $y\ =\ 2\left(x-1\right)^2\ +\ 6$

a)

$2x^2-4x+8$

b)

$2x^2-4x\ +2$

c)

$x^2-2x\ +1$

d)

$x^2-2x\ +7$

67.

The graph of linear function g passes through the points (3,0) and (-3, -4). Which statement must be true?

a)

x intercept is 3 and the slope is 2/3

b)

x intercept is 3 and the slope is 3/2

c)

y intercept is 3 and the slope is 3/2

d)

y intercept is 3 and the slope is 2/3

68.

What is the solution to -(5x+2) = 3(4 + x)?

a)

1.25

b)

-1.75

c)

5

d)

-4

69.

The table shows a linear relationship between x and y. What is the rate of change of y with respect to x?

a)

1/3

b)

-1/3

c)

3

d)

-3

70.

Which inequality best represents the domain of the part shown?

a)

y > 0

b)

x > 0

c)

0 < y < 4

d)

0 < x < 2

71.

f(x) = $x^2$ is transformed to create the graph g(x) = f(x+5)-2. Which graph best represents g?

a)

b)

c)

d)

72.

What is the rate of change?

a)

-2

b)

-1

c)

1

d)

2

73.

What is the rate of change? f(x) = 200 $\left(1.06\right)^x$

a)

106%

b)

94%

c)

60%

d)

6%

74.

a)

y = $x^2$ - 3x + 6

b)

y = $x^2$ + 6

c)

y = $x^2$ + 5x +6

d)

y = $2x^2$ - 4x + 6

75.

The table shows sales (in million euros) that are the direct result of how much money (in million euros) is put into advertising each year. If the company invests 80 million in euros in advertising what amount of sales can they expect?

a)

1,250

b)

2,000

c)

2,041

d)

2,455

76.

Which expression is equivalent?

a)

b)

c)

d)

77.

$6x^2-\ 11x\ =\ 10$ What is the positive solution to this equation?

a)

2.5

b)

1.5

c)

3.5

d)

0.50

78.

I was told by my boss to buy pounds of hamburger meat for $6 each and packages of hotdogs for $4 each. I was told to spend at most $100. Which inequality matches my situation?

a)

6x + 4y $<$ 100

b)

6x + 4y $>$ 100

c)

6x + 4y $\le$ 100

d)

6x + 4y $\ge$ 100

79.

(8 - 3x + x²) - (5 - 5x + 3x²)

a)

-2x²- 8x + 3

b)

4x² - 2x + 3

c)

4x² + 2x + 3

d)

-2x² + 2x + 3

80.

Which graph best represents thesolution set for $y\ \le3x\ +\ 5$

a)

b)

c)

d)

81.

Two small pitchers and one large pitcher can hold 8 cups of lemonade. One large pitcher minus one small pitcher leaves 2 cups of lemonade. How many cups of lemonade can the small pitcher hold? (Hint: Systems of equations)

a)

2

b)

4

c)

6

d)

8

82.

$\left(x^2y^{-4}\right)^3$
Which expression is equivalent?

a)

$x^2y^{-12}$

b)

$x^6y^{-12}$

c)

$x^5y^{-12}$

d)

$x^6y^{-1}$

83.

a)

y - 5 = 1/2 (x - 1)

b)

y + 5 = 2 (x + 1)

c)

y - 5 = 2 (x - 1)

d)

y + 3 = 1/2 (x +3)

84.

The table represents some points on a graph of an exponential function. Which function represents the same relationship?

a)

y = $10\left(0.86\right)^x$

b)

y = $8\left(1.3\right)^x$

c)

y = $10\left(1.3\right)^x$

d)

f(x) = $10\left(0.75\right)^x$

85.

f(x) = x² is transformed to create the graph g(x) = -f(x) + 3. Which statement below describes this transformation?

a)

reflection over the y axis and vertex shifts right 3 units

b)

reflection over the x axis and vertex shifts left 3 units

c)

reflection over the y axis and vertex shifts up 3 units

d)

reflection over the x axis and vertex shifts up 3 units

86.

Which function below models the table?

a)

f(x) = 3x + 2

b)

f(x) = 2x - 4

c)

f(x) = 1/2x - 2

d)

f(x) 4x + 3

87.

The linear function f passes through the point (-1, 4) and a slope of 4. What is the zero of f? Hint: point slope formula.

a)

-3

b)

5

c)

-2

d)

8

88.

Which is equivalent to 2x² - 3x -5?

a)

(x - 1) (2x + 5)

b)

(2x + 5) ( x + 1)

c)

(2x - 5) (2x + 1)

d)

(2x - 5) (x + 1)

89.

The graph of a quadratic function is shown on the grid. Which function is best represented by this graph?

a)

$f\left(x\right)\ =\ x^2-6x$

b)

$f\left(x\right)=x^2+x\ -6$

c)

$f\left(x\right)=2x^2+4x\ +3$

d)

$f\left(x\right)\ =\ x^2+x+6$

90.

Which system of equations does the graph represent?

a)

y = 1/3x + 3

y = -5/3x - 3

b)

y = 5/3x + 3

y = -1/3 - 3

c)

y = -4/3x + 3

y = 1/3x - 3

d)

y = -5/3x + 3

y = 1/3x - 3

Algebra EOC practice

Total questions: 90

Worksheet time: 4hrs 26mins

Similar Resources on Wayground