Free Printable Algebra 1 Semester 1 Review

1.

a)

Function

b)

Not a Function

2.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

3.

a)

Function

b)

Not a Function

4.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

5.

Which function family describes the graph?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Absolute Value

6.

Which function family describes the graph?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Absolute Value

7.

Which function family describes the graph?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Absolute Value

8.

Which function family describes the graph?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Absolute Value

9.

Which function family describes the function $f\left(x\right)=3x^2-4x+5$ ?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Absolute Value

10.

Which function family describes the function $f\left(x\right)=6^x$ ?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Absolute Value

11.

Which function family describes the function ? $f\left(x\right)=\left|x-2\right|$

a)

Linear

b)

Exponential

c)

Quadratic

d)

Absolute Value

12.

Which best describes the behavior of the function $f\left(x\right)=4x-9$ ?

a)

It is constant.

b)

It is increasing.

c)

It is decreasing.

d)

It is both increasing and decreasing.

13.

A rental car company charges customers $40 for each day they rent a car.

What is the INDEPENDENT quantity?

a)

The kind of car they can rent

b)

How many days they rent the car

c)

The color of the cars

d)

How much money they have to pay total

14.

Terrence types 80 words per minute.

What is the DEPENDENT quantity?

a)

The number of words he types

b)

The number of minutes

c)

How fast Terrence is typing

d)

How long the words are

15.

Which is the independent quantity?

a)

Time

b)

Distance

16.

What is the dependent quantity?

a)

Total Cost

b)

Weight

17.

Which best describes the behavior of the function $f\left(x\right)=3x^2-4x+5$ ?

a)

It is constant.

b)

It is increasing.

c)

It is decreasing.

d)

It is both increasing and decreasing.

18.

Which best describes the behavior of the function $f\left(x\right)=3x-7$ ?

a)

It is constant.

b)

It is increasing.

c)

It is decreasing.

d)

It is both increasing and decreasing.

19.

Which best describes the behavior of the function $f\left(x\right)=\left|x+2\right|$ ?

a)

It is constant.

b)

It is increasing.

c)

It is decreasing.

d)

It is both increasing and decreasing.

20.

Which best describes the behavior of the function $f\left(x\right)=-\frac{2}{3}x+1$ ?

a)

It is constant.

b)

It is increasing.

c)

It is decreasing.

d)

It is both increasing and decreasing.

21.

Is the sequence arithmetic or geometric?

5, 15, 45, 135 ...

a)

Arithmetic

b)

Geometric

22.

Is the sequence arithmetic or geometric?

2, -5, -12, -195 ...

a)

Arithmetic

b)

Geometric

23.

Is the sequence arithmetic or geometric?

-1, 3, 7, 11 ...

a)

Arithmetic

b)

Geometric

24.

Find the common difference: -34, -29, -24, -19, ...

a)

d = -5

b)

d = 5

c)

d = -6

d)

d = 6

25.

Find the common difference: 29, 21, 13, 5, ...

a)

d = -10

b)

d = -9

c)

d = -8

d)

d = -7

26.

Find the common ratio: 4, -16, 64, -256, ...

a)

r = -4

b)

r = 2

c)

r = -2

d)

r = 4

27.

Find the common ratio for the geometric sequence:
64, 16, 4,...

a)

4

b)

-4

c)

¼

d)

-¼

28.

What is the next term in the sequence?

7, 11, 15, 19, ...

a)

23

b)

25

c)

27

d)

31

29.

What is the next term in the sequence?

40 20, 10, 5, ...

a)

1

b)

2.5

c)

3

d)

3.5

30.

What is the next term in the sequence?

12, 7, 2, -3, ...

a)

-13

b)

-8

c)

-5

d)

0

31.

What is the next term in the sequence?

2, -6, 18, -54 ...

a)

-162

b)

-62

c)

62

d)

162

32.

Thomas is saving pennies in a jar. The first day he saves 3 pennies, the second day 12 pennies, the third day 21 pennies, and so on. How many pennies does Thomas save on the 7th day?

a)

39

b)

48

c)

57

d)

63

33.

Use the explicit formula to find the 7th term of the sequence.
$a_n=22-3\left(n-1\right)$

a)

4

b)

1

c)

18

d)

114

34.

Use the explicit formula to find the 12th term of the sequence. $a_n=4+3\left(n-1\right)$

a)

33

b)

37

c)

40

d)

77

35.

Which of the following represents the explicit formula $a_n=4+3\left(n-1\right)$ ?

a)

f(n) = 2n-5

b)

f(n) = 3n + 1

c)

f(n) = 3n + 7

d)

f(n) = 4n + 3

36.

Which of the following represents the explicit formula $a_n=8-2\left(n-1\right)$ ?

a)

f(n) = -2n - 8

b)

f(n) = -2n + 10

c)

f(n) = 2n + 10

d)

f(n) = 2n + 12

37.

Identify the x-intercept of the graph.

a)

(-4, 0)

b)

(0, -2)

c)

(0, -4)

d)

(-2, 0)

38.

Identify the y-intercept of the graph.

a)

(0, 3)

b)

(-1, 0)

c)

(0, -1)

d)

(3, 0)

39.

Identify the graph with a x-intercept of (3,0) and a y-intercept of (0,- 1)

a)

b)

c)

d)

40.

Identify the graph with a x-intercept of (-2,0) and y-intercept of (0,2)

a)

b)

c)

d)

41.

What is the slope of the graph?

a)

-2

b)

2

c)

1/2

d)

-1/2

42.

Write in slope intercept form
5x - 3y = -9

a)

y = (5/3)x - 3

b)

y = (5/3)x + 9

c)

y = (5/3)x + 3

d)

y = (3/5)x + 3

43.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

44.

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

a)

2

b)

3

c)

5

d)

Cannot be Determined

45.

Determine the slope and y-intercept. $y=\frac{3}{2}x+3$

a)

slope: 5

y-intercept: 3/2

b)

slope: 3/2

y-intercept: 3

c)

slope: 4

y-intercept: 3/2

d)

slope: 1/5

y-intercept: 5

46.

Write the equation of the line with slope 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

47.

Write the equation of the line with slope -2 through the point (7, -1).

a)

y = -2x + 15

b)

y = -2x -15

c)

y = -2x + 13

d)

y = -2x - 13

48.

Find the slope given the points (2, −7) and (−1, 6).

a)

-13/3

b)

13/3

c)

0

d)

2/3

49.

Find the slope given the points (3,2) and (4,7).

a)

4

b)

5

c)

-5

d)

1/5

50.

Find the slope given the points (-2,-9) and (-1,-3).

a)

4

b)

-1/6

c)

-6

d)

6

51.

What type of correlation does the graph show?

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

52.

What type of correlation does the graph show?

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

53.

What type of correlation does the graph show?

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

54.

Find the rate of change.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

55.

What is the rate of change?

a)

-10 ft per second

b)

15 ft per second

c)

10 ft per second

d)

-15 ft per second

56.

What is the rate of change for the table below?

a)

1/3

b)

3/7

c)

7/3

d)

3

57.

What is the rate of change of the graph?

a)

$\frac{7}{2}$

b)

$\frac{5}{3}$

c)

$\frac{3}{5}$

d)

$-\frac{5}{3}$

58.

Which equation matches the table?

a)

y = x

b)

y = 5x

c)

y = x - 4

d)

y = x + 4

59.

What is the function of the table?

a)

y=3x+1

b)

y=4x-2

c)

y=x+1

d)

y=x+7

60.

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

a)

-32

b)

-3

c)

-12

d)

3

61.

$Given\ f\left(x\right)=\frac{3}{2}x+5\ what\ is\ f\left(12\right)?$

a)

$\frac{43}{2}$

b)

$20$

c)

$23$

d)

$5$

62.

$Given\ g\left(x\right)=6x-19,\ \ what\ is\ g\left(25\right)?$

a)

130

b)

131

c)

119

d)

answer not here

63.

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.

a)

g(x) is shifted up 3 units

b)

g(x) is shifted down 3 units

c)

g(x) is shifted left 3 units

d)

g(x) is shifted right 3 units

64.

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

a)

g(x) is shifted up 6 units

b)

g(x) is shifted down 6 units

c)

g(x) is shifted left 6 units

d)

g(x) is shifted right 6 units

65.

If the graph of the parent function f(x) = x is shifted 7 units up, what is the function?

a)

g(x) = f(7x)

b)

g(x) = f(x) - 7

c)

g(x) = f(x) + 7

d)

g(x) = 7f(x)

66.

If the graph of the parent function f(x) = x is shifted 4 units down, what is the function?

a)

g(x) = f(4x)

b)

g(x) = f(x) - 4

c)

g(x) = f(x) + 4

d)

g(x) = -4f(x)

67.

How many solutions does this equation have? 3x + 2 = 3x + 2

a)

One Solution

b)

No Solution

c)

Infinite Solutions

68.

How many solutions does this equation have? 3x -20 = 3x + 2

a)

One Solution

b)

No Solution

c)

Infinite Solutions

69.

How many solutions does this equation have? 3x + 2 = 4x + 6

a)

One Solution

b)

No Solution

c)

Infinite Solutions

70.

Solve for x:
2x + 5 = 12

a)

7

b)

3

c)

3.5

d)

8.5

71.

Solve for x:
4x + 1 = 7x - 5

a)

-1

b)

2

c)

6/11

d)

8

72.

Solve for x:
2(3x + 4) + 2 = 4 + 3x

a)

2

b)

-2/3

c)

10

d)

-2

73.

Solve for x:
8x + 2 + 3x + 5 = x + 12

a)

-1/2

b)

2

c)

-2

d)

1/2

74.

Solve for x:
5 + 3x = 8x - 15

a)

10

b)

4

c)

2

d)

20/11

75.

5(2x - 7) = 80

a)

x = 11.5

b)

x = 115

c)

x = 12

d)

x = 16

76.

abc=d

Solve for a:

a)

$a=bcd$

b)

$a=\frac{bc}{d}$

c)

$a=\frac{c}{bd}$

d)

$a=\frac{d}{bc}$

77.

$V=lwh$ solve for h

a)

$h=Vlw$

b)

$h=\frac{l}{Vw}$

c)

$h=\frac{V}{lw}$

d)

$h=\frac{w}{lV}$

78.

$A=\frac{2d}{y}\$ solve for d

a)

$d=2Ay$

b)

$d=\frac{y}{2A}$

c)

$d=\frac{2A}{y}$

d)

$d=\frac{Ay}{2}$

79.

Solve for b $A=\frac{1}{2}bh$

a)

$b=\frac{2h}{A}$

b)

$b=\frac{h}{2A}$

c)

$b=\frac{A}{2h}$

d)

$b=\frac{2A}{h}$

80.

Solve 5x + 9 > 34

a)

x > -5

b)

x > 5

c)

x < -5

d)

x < 5

81.

Solve -2x - 3 ≤ 13

a)

x ≥ 8

b)

x ≥ -8

c)

x ≤ 8

d)

x ≤ -8

82.

Pick the correct letter for:

x < 6

a)

A

b)

B

c)

C

d)

D

83.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

84.

solve 5( 6 + 3r) + 7 ≥ 127

a)

r ≤ 6

b)

r ≥ 6

c)

r ≤ -6

d)

r ≥ -6

85.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

86.

You need to save a minimum of $1200 to purchase your new laptop. If you already have saved $400 and make 11 per hour, h, at your job, which inequality could be use to solve to determine how many hours you need to work to save enough money.

a)

11h + 1200 ≥ 400

b)

11h + 400 < 1200

c)

11h + 400 > 1200

d)

11h + 400 < 1200

87.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

88.

What inequality is graphed?

a)

x > 2 and x < 4

b)

x ≥ 2 and x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

89.

a)

x ≤ 3 and x > -2

b)

x < -2 or x ≥ 3

c)

x > -2 or x < 3

d)

x < 3 and x ≥ -2

90.

a)

x > -3 or x > 1

b)

x < -3 or x < 1

c)

x ≥ 3 and x ≤ 1

d)

x > -3 and x < 1

91.

Solve:

3x + 2 < -7 or -4x + 5 < 1

a)

All real numbers

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

92.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

93.

Solve:
3x + 2 < -4 or 4x + 4 > 24

a)

x < -2 or x > 5

b)

x < 2 or x > 5

c)

x < -2 and x > 5

d)

x < 2 and x > 5

94.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

95.

Find the solution:
2x-5y=15
3x+y=31

a)

(10,1)

b)

(13, -8)

c)

(-10,-7)

d)

No Solution

96.

2x + y = 10
y = -2x + 13

a)

(-2, 17)

b)

(2, 6)

c)

no solution

d)

all solutions

97.

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

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

98.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

99.

Find the solution to the graphed system of equations

a)

2, -3)

b)

No solutions

c)

infinite solutions

d)

(-4, 0)

100.

What is the solution for the system:

y=-2x+9

y=4x-3

a)

(2, 5)

b)

(3, 7)

c)

(1, -2)

d)

(0, 2)

101.

Use substitution to find the solution for the system:

x=6y-11

3x-2y=-1

a)

(1, 2)

b)

(8, 7)

c)

(3, -1)

d)

(3, 0)

102.

Use elimination to find the solution for the system:

2x+y=25

-2x+3y=-13

a)

(11, 3)

b)

(5, 7)

c)

(3, 2)

d)

(0, 13)

103.

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

104.

Solve this system of equation

5x - 2y = 9

2x + 7y = -12

a)

(1, -1)

b)

(-1, 1)

c)

(-1, 2)

d)

(1, -2)

Algebra 1 Semester 1 Review

Total questions: 104

Worksheet time: 4hrs 50mins

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