Free Printable Algebra I Midterm Review

1.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

2.

a)

Function

b)

Not a Function

3.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

4.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

5.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

6.

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.

7.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

8.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

9.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

10.

Is this table a function or not a function?

a)

Function

b)

Not a Function

11.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

12.

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)

13.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

14.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

15.

Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)

a)

(3, 7)

b)

(4, 1)

c)

(1, 9)

d)

(2, 6)

16.

Does the table represent a function?

a)

Yes, there is a repeated x-value.

b)

No, there aren't any repeated y-values.

c)

Yes, there are repeated y-values.

d)

No, there is a repeated x-value.

17.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

18.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

19.

Find f(0)

a)

6

b)

8

c)

10

d)

12

20.

Find f(2)

a)

8

b)

10

c)

12

d)

14

21.

Find x if f(x) = 6

a)

-2

b)

-1

c)

0

d)

1

22.

Find h(-1)

a)

-3

b)

15

c)

4

d)

3

23.

Find h(0)

a)

2

b)

15

c)

4

d)

3

24.

f(x) is the same thing as ______.

a)

y

b)

x

c)

input

d)

an equation

25.

If f(x) = 2x+1, what would the function look like once you substitute in a 1 to find f(1)?

a)

f(x) = 21+1

b)

f(1) = 2 (1) + 1

c)

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

26.

If a question asks you to find f(2), what does that mean?

a)

Let x = 2

b)

Let y = 2

27.

What is f(6) for the function f(x)=3x-8

a)

-8

b)

10

c)

-144

d)

answer not here

28.

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

a)

-32

b)

-3

c)

-12

d)

3

29.

$Given\ f\left(x\right)=2x-10\ for\ which\ value\ of\ x\ that\ f\left(x\right)=8?$

a)

5

b)

10

c)

9

d)

-12

30.

What is f(5) for the function f?

f(x) = 2(x - 7)

a)

3

b)

-4

c)

-3

d)

1

31.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

32.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

33.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

34.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

35.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

36.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

37.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

38.

Find the slope of the line that passes through:
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

39.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

40.

What is the Slope represented in this table?

a)

slope: $-\frac{1}{4}$

b)

slope: $-4$

c)

slope: $\frac{1}{4}$

d)

slope: $4$

41.

In the equation, y = mx + b, the letter b is the ___________.

a)

y-intercept

b)

x-intercept

c)

slope

d)

rate of change

42.

What is the slope of the equation?
y = -3x + 4

a)

-3

b)

3

c)

4

d)

-4

43.

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

a)

A

b)

B

c)

C

d)

D

44.

Bob has $150 in his savings account and saves $40 per month. Which function models his savings?

a)

y = 150 + 40

b)

y = 40x + 150

c)

y = 150x + 40

45.

A golf course charges $15 to rent golf clubs and charges $25 per round to play. Write an equation to represent the total cost, T, for one player.

a)

T = 15 + 25r

b)

T = 15g + 25r

c)

T = 40 r

d)

T = 15r + 25

46.

What is the range of the following graph?

a)

all real numbers

b)

all integers

c)

any real number greater than zero

d)

it can not be determined

47.

a)

6

b)

-6

c)

14

d)

-14

48.

_{What is the y-intercept of the line?}

a)

(0,¹/₂)

b)

(0,1)

c)

(0, ^-1/2)

d)

(0, -1)

49.

What is the y-intercept in the equation x + 2y = 4

a)

(0, 0)

b)

(0, 2)

c)

(4, 0)

d)

(2, 0)

50.

Slope is another word for:

a)

Initial Value

b)

Rate of Change

c)

Change in Y's

d)

Y-intercept

51.

Is function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

52.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

53.

Is the table linear or nonlinear?

a)

Linear

b)

Nonlinear

54.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

55.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

56.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

57.

Find the slope from the table.

a)

-4

b)

1

c)

4

d)

-2

58.

What is the slope of the equation?
y = -3x + 4

a)

-3

b)

4

c)

-4

d)

3

59.

What is the domain of the graph?

a)

y≥1

b)

x ≥ 1

c)

All real numbers

d)

none of these

60.

Janice is working as a babysitter for the Harold Family. They plan to leave for their date at 7:00 pm and be back by 12:00 am. If the equation f(x) = 15x + 20 models the amount that Janice will earn, where x is the number of hours she works, and f(x) is the total money she earns, what is an appropriate domain?

a)

any value between 0 and 5

b)

any value between 15 and 20

c)

any value between -1 and 1

d)

any value greater than 0

61.

Janice is working as a babysitter for the Harold Family. They plan to leave for their date at 7:00 pm and be back by 12:00 am. If the equation f(x) = 15x + 20 models the amount that Janice will earn, where x is the number of hours she works, and f(x) is the total money she earns, what is an appropriate range?

a)

any value between 0 and 20

b)

any value between 0 and 125

c)

any value between 0 and 95

d)

any value greater than 0

62.

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

63.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

64.

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

a)

Growth

b)

Decay

65.

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

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

66.

Is this exponential growth or decay?

a)

Growth

b)

Decay

67.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

68.

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

69.

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

70.

Identify the initial value:

y = 6.87 (4)^x

a)

a = 4

b)

a = 6.87

c)

a = 3

d)

a = 1

71.

The function y = 125(1.13)^xrepresents Mr. Gantz's recent investments where x is measured in years. Which is NOT true?

a)

Mr. Gantz initial invested $125

b)

Mr. Gantz's money grows by 13% per year

c)

After 4 years Mr. Gantz will have about $203.81

d)

Mr. Gantz earns more money in year one than in year 5

72.

Pick the equation that is exponential decay

a)

y=2000(0.88)

b)

y=0.5(1.88)

73.

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

a)

14327

b)

4309

c)

839

d)

7680

74.

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

a)

$23,219.72

b)

$136.72

c)

$51,710.94

d)

$16,710.94

75.

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

a)

9766

b)

9006

c)

9765

d)

5433

76.

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

a)

$176,783.29

b)

$424,527.63

c)

$57,357.75

d)

$532,041,076.80

77.

Is this exponential growth or decay?

a)

Growth

b)

Decay

78.

What is the initial value for the function: f(x) = 300(1.16)^x?

a)

300

b)

1.16

c)

.16

d)

x

79.

3 + k < 10

a)

6

b)

7

c)

8

80.

c - 2 > 7

a)

10

b)

9

c)

8

81.

4 - m $\ge$ 2

a)

2

b)

3

c)

4

82.

d + 3 $\le$ 8

a)

5

b)

6

c)

7

83.

d + 3 $\le$ 8

a)

5

b)

6

c)

7

84.

35 < 5m, m = 7

a)

yes

b)

no

85.

t - 4 $\ge$ 9, t =13

a)

yes

b)

no

Algebra I Midterm Review

Total questions: 85

Worksheet time: 3hrs 56mins

Similar Resources on Wayground