Free Printable Math 1A Final Review

1.

What is the algebraic equation for this table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

2.

Which equation matches the table?

a)

y = x

b)

y = 5x

c)

y = x - 4

d)

y = x + 4

3.

Is function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

4.

Is function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

5.

a)

Function

b)

Not a Function

6.

a)

Function

b)

Not a Function

7.

a)

Function

b)

Not a Function

8.

a)

Function

b)

Not a Function

9.

If f(x)=3x-9, find f(5).

a)

f(5) = 6

b)

f(5) = 16

c)

f(5) = -4

d)

f(5) = 24

10.

If f(x)=2x+25, find f(5).

a)

f(5) = 60

b)

f(5) = 40

c)

f(5) = -15

d)

f(5) = 35

11.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

12.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

13.

Is the function linear or nonlinear?

a)

Linear Function

b)

Nonlinear Function

14.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

15.

Is this function linear or nonlinear?

a)

linear

b)

nonlinear

16.

Is this function linear or nonlinear?

a)

linear

b)

nonlinear

17.

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.

18.

a)

Function

b)

Not a Function

19.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

20.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

21.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

22.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

23.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

24.

a)

6

b)

-6

c)

14

d)

-14

25.

a)

16

b)

48

c)

-28

d)

4

26.

a)

-67

b)

67

c)

77

d)

-77

27.

a)

-12

b)

-43

c)

29

d)

-29

28.

a)

-12

b)

-43

c)

29

d)

-29

29.

a)

-20

b)

20

c)

-24

d)

24

30.

a)

1

b)

-1

c)

19

d)

-19

31.

Find f(2)

a)

5

b)

4

c)

3

d)

0

32.

Find f(-1)

a)

-3

b)

15

c)

19

d)

17

33.

Find f(-3)

a)

-3

b)

15

c)

19

d)

17

34.

Find f(0)

a)

1

b)

2

c)

-1

d)

3

35.

If f(x) = 3 Find the value of x.

a)

2

b)

4

c)

6

d)

0

36.

Find f(2)

a)

1

b)

4

c)

2

d)

0

37.

What is the y-intercept?

a)

(6, 0)

b)

(0, 6)

c)

(-3, 0)

d)

(0, -3)

38.

Where is the root?

a)

(6, 0)

b)

(0, 6)

c)

(-3, 0)

d)

(0, -3)

39.

What are the green dots called?

a)

y-intercepts

b)

maximum

c)

minimum

d)

roots/x-intercepts

40.

What is the range of the graph?

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

41.

Which ordered pair could represent a
y-intercept on a graph?

a)

(6, 0)

b)

(0, 4)

c)

(-1, 3)

d)

(2, 0)

42.

On what interval is the graph decreasing?

a)

(∞, 3)

b)

(3, -∞)

c)

(3, ∞)

d)

(-∞, 3)

43.

On which interval is the graph increasing?

a)

[-5,-3]

b)

[-3,-1]

c)

[1,4]

d)

[5,∞)

44.

On which interval is the graph decreasing?

a)

[-5,-3]

b)

[-3,-1]

c)

[1,4]

d)

[5,∞)

45.

On which interval is the graph constant?

a)

[-5,-3]

b)

[-3,-1]

c)

[1,4]

d)

(-∞,-5]

46.

What is the maximum?

a)

None

b)

(0,4)

c)

(3,1)

d)

y = -1

47.

What is the minimum?

a)

None

b)

(0,4)

c)

(3,1)

d)

y = -1

48.

What is the y-intercept?

a)

None

b)

(0,3)

c)

(3,1)

d)

y = -1

49.

What is the domain of the function?

a)

(-∞,5]

b)

(-∞,5)

c)

(-∞,2]

d)

(-∞,2)

50.

What is Mrs. Gordon's rate from 0 to 2 seconds?

a)

2.5 feet per second

b)

.4 feet per second

c)

5 feet per second

d)

.2 feet per second

51.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

52.

Find the average rate of change over the given interval.

a)

4

b)

7

c)

7/3

d)

3/7

53.

What is the average rate of change of [1, 5]?

a)

-0.65

b)

-0.75

c)

3.75

d)

4

54.

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

a)

200

b)

150

c)

300

d)

75

55.

A rocket is 1.5 miles above the Earth in 20 seconds and is 8 miles above the Earth in 2 minutes. What is the rocket's rate of change in miles per second?

a)

0.065 mps

b)

0.361 mps

c)

3.892 mps

d)

4.145 mps

56.

A(n) _________________ function will ADD the same number each time.

a)

Linear

b)

Quadratic

c)

Exponential

d)

All of the above

57.

A(n) _________________ function will MULTIPLY the same number each time.

a)

Linear

b)

Quadratic

c)

Exponential

d)

All of the above

58.

Maggie is knitting blankets for the residents of a local nursing home. She already has 6 blankets completed. After one week, Kay has 8 blankets. After two weeks, Kay has 10 blankets. Kay's scenario is best represented by a _______________ function.

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the above

59.

Maggie is knitting blankets for the residents of a local nursing home. She already has 6 blankets completed. After one week, Kay has 8 blankets. After two weeks, Kay has 10 blankets. Write the equation that represents this situation.

a)

y = 6x + 2

b)

y = 2x + 6

c)

y = 6(2)^x

d)

y = 2(6)^x

60.

True OR False: All increasing exponential functions eventually exceed all increasing linear functions.

a)

True

b)

False

61.

In the first year of an annual 5K run there were 120 participants. In the 2nd and 3rd year of the 5K run, there were 180 and 270 participants respectively. This situation is best modeled by a(n) ________________ function.

a)

linear

b)

quadratic

c)

exponential

d)

none of the above

62.

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. Write the equation that best models this situation.

a)

y = 128x + 0.5

b)

y = 0.5x + 128

c)

y = 128(0.5)^x

d)

y = 128(0.5)^x-1

63.

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. How many rounds of the tennis tournament will be played before there is a champion?

a)

1

b)

7

c)

128

d)

The answer cannot be determined

64.

Is the table linear or exponential?

a)

Linear

b)

Exponential

65.

What is the common ratio for the sequence:
28, 14, 7, 3.5...
Reminder: The common ratio is MULTIPLIED each time

a)

2

b)

1/2

c)

-14

d)

-7

66.

What is the common ratio for the sequence:
3, 15, 75...
Reminder: common ratio is common multiple used to get the next output

a)

12

b)

1/5

c)

5

67.

Is the table linear or exponential?

a)

Linear

b)

Exponential

68.

Is the table linear or exponential?

a)

Linear

b)

Exponential

69.

Is the table linear or exponential?

a)

Linear

b)

Exponential

70.

Is the Equation Linear or Exponential?

a)

Linear

b)

Exponential

71.

What is the common difference?
5, 13, 21, 29

a)

8

b)

7

c)

5

d)

13

72.

What is the common difference?
25, 13, 1, -11

a)

8

b)

-8

c)

25

d)

-12

73.

What is the common difference for the sequence:
10, 7, 4, 1

a)

2

b)

3

c)

-3

d)

10

74.

What is the common ratio for the sequence:
4, 12, 36, 108

a)

12

b)

1/3

c)

3

d)

4/5

75.

What is the equation of the following table

a)

y = 7(2)^x

b)

y = 4(2)^x

76.

What is the equation of the following table

a)

y = 2x + 10

b)

y = 10(2)^x

77.

What is the equation of the following table

a)

y = 10x + 5

b)

y = 10(2)^x

78.

What is the equation of the following table

a)

y = 5(2)^x

b)

y = 10(2)^x

79.

What functions describes this graph?

a)

Linear

b)

Exponential

c)

neither

80.

Which function describes the graph?

a)

Linear

b)

Exponential

c)

neither

81.

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)

a)

a_n=2+6n

b)

a_n=-6+6n

c)

a_n=6n-4

d)

a_n=4-6n

82.

Find the 22nd term of the following sequence:
5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

83.

Find the first term of the given sequence:
a₁₄=68
d=3

a)

14

b)

20

c)

26

d)

29

84.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

85.

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

a)

32

b)

64

c)

127

d)

356

86.

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

a)

18

b)

17

c)

15

d)

14

87.

What is the 15th term of the sequence an = -3n+50

a)

95

b)

-5

c)

5

d)

-95

88.

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

a)

Arithmetic

b)

Geometric

c)

Neither

89.

Is the sequence 7, 9, 12, 16,... geometric?

a)

yes

b)

no

90.

You have $10 in you bank account. It doubles every month. How much money will you have after 5 months?

a)

$50

b)

$35

c)

$320

d)

$250

91.

The explicit formula for a sequence is a_n = 5 − 3n. What is the value of a₂₂?

a)

a₂₂= -61

b)

a₂₂= 61

c)

a₂₂= -1

d)

a₂₂= -51

92.

What is a₅ in the sequence defined as follows?
a_n = 5 ⋅ 2^(n-1)

a)

a₅ = 160

b)

a₅ = 40

c)

a₅ = 10

d)

a₅ = 80

93.

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

a)

18

b)

17

c)

15

d)

14

94.

If x = 7, which equation is true?

a)

4x + 6 = 33

b)

6x - 5 = 47

c)

3x - 4 = 12

d)

7x - 9 = 40

95.

Corey and David both have lots of video games.
* The number of games Corey has can be represented by x
* Ricky has 3 times as many games as Corey.
* The total number of games is 64
What is x, the total number of games Corey has

a)

60

b)

67

c)

12

d)

16

96.

Which equation matches this situation?
Diego is saving money for concert tickets to Melanie Martinez, after mowing lawns he has a $120. He already has $46 saved and earned $15 per lawn.

a)

46 + 15x = 120

b)

15x + 46 = 120

c)

120 = 46x - 15

d)

120 = 46x = 15

97.

Write an equation and solve for this situation? Jeff bought Takis for $3. He also bought some drinks for $2.50 each. He spent $15.50 total on the Takis and drinks. How many drinks did he buy?

a)

3

b)

4

c)

5

d)

6

98.

Solve for x.
3x + 7 = 31

a)

6

b)

8

c)

10

d)

7

99.

If x is 7, which of these equations is true?

a)

4x - 7 = 21

b)

3x + 6 = 21

c)

7x - 4 = 36

d)

not here

100.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

101.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

102.

Solve for v

C = xv + x

a)

(C-x)/x = v

b)

(C+x)/x = v

c)

(-C-x)/x = v

d)

(Cx)/x = v

103.

a)

(2.5+h)f

b)

g=1

c)

f(5+h)/2

d)

(5f+h) / 2

104.

a)

b = 3A - a - c

b)

b = -3A + a - c

c)

b = -3A - a - c

d)

b = 2A - c

105.

Solve for h

V = πr²h for h

a)

V/(πr²) = h

b)

V - πr² = h

c)

V + πr² = h

d)

V/π = h

106.

a)

T = PV/K

b)

T = PK/V

c)

T=KV/P

d)

Greenland

107.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

108.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

109.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

110.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

111.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

112.

7 is less than a number.

a)

x > 7

b)

x < 7

c)

x ≤ 7

d)

x ≥ 7

113.

"At most" and "No more than" are both clue words for...

a)

<

b)

>

c)

≤

d)

≥

114.

The product of x and 7 is not greater than 10

a)

7x >10

b)

7x ≤ 10

c)

7 + x < 10

d)

⁷ / _x < 10

115.

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

a)

s < 55

b)

s > 55

c)

s ≤ 55

d)

s ≥ 55

Math 1A Final Review

Total questions: 115

Worksheet time: 10hrs 35mins

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