Free Printable Algebra 1 Semester 1 Review

1.

Mr. Mackar’s soccer team in having a car wash to raise money for new uniforms.

Determine the Independent Variable

a)

Number of car washes

b)

Money made

c)

Cost of uniforms

2.

Yvonne reads about 20 pages of a book each night before she goes to bed.

Dependent variable:

a)

What book she reads

b)

Number of nights she reads

c)

Number of pages read

3.

Gavin goes to the Kansas State Fair. Each ride ticket costs $1.50.

Independent variable:

a)

Where the state fair is at

b)

# of tickets

c)

Money Spent

4.

Each ride at the State Fair costs 3 tickets to ride.

Dependent Variable:

a)

Tickets Used

b)

# of Rides

c)

Who rides the ride

5.

Check the characteristics that apply.

a)

Coninuous

b)

Discrete

c)

Vertical Axis of Symmetry

d)

Constant

e)

Increasing

6.

Check all that apply.

a)

Increasing

b)

Decreasing

c)

Both Increasing / Decreasing

d)

Minimum

e)

Continuous

7.

Check all that apply

a)

Decreasing

b)

Combination (Increasing, Decreasing, Constant)

c)

Constant

d)

Continuous

e)

Horizontal Axis of Symmetry

8.

Check all that apply.

a)

Maximum

b)

Continuous

c)

Decreasing

d)

Minimum

e)

Combination (Increasing, Decreasing, or Constant)

9.

Is the following a function?

a)

Yes, it is a function.

b)

No, it is not a function.

10.

Is the following a function?

a)

Yes, it is a function.

b)

No, it is not a function.

11.

Is the following a function?

a)

Yes, it is a function.

b)

No, it is not a function.

12.

Is the following a function?

a)

Yes, it is a function.

b)

No, it is not a function.

13.

Is the following a function?

a)

Yes, it is a function.

b)

No, it is not a function.

14.

State which function family the following belongs to:

$f(x)=-3x^2+5x-9$

a)

Linear

b)

Exponential

c)

Absolute Value

d)

Quadratic

15.

State which function family the following belongs to:

$y=-9x+2$

a)

Linear

b)

Exponential

c)

Absolute Value

d)

Quadratic

16.

State which function family the following belongs to:

$y=\frac{1}{2}^x+6$

a)

Linear

b)

Exponential

c)

Absolute Value

d)

Quadratic

17.

State which function family the following belongs to:

$y=5^x+8$

a)

Linear

b)

Exponential

c)

Absolute Value

d)

Quadratic

18.

State which function family the following belongs to:

$f(x)=|7x|-4$

a)

Linear

b)

Exponential

c)

Absolute Value

d)

Quadratic

19.

State which function family the following belongs to:

$f(x)=x^2-2$

a)

Linear

b)

Exponential

c)

Absolute Value

d)

Quadratic

20.

State which function family the following belongs to:

a)

Linear

b)

Exponential

c)

Absolute Value

d)

Quadratic

21.

State which function family the following belongs to:

a)

Linear

b)

Exponential

c)

Absolute Value

d)

Quadratic

22.

State which function family the following belongs to:

a)

Linear

b)

Exponential

c)

Absolute Value

d)

Quadratic

23.

Arithmetic sequences have...

a)

Common Ratio

b)

Common Difference

c)

Nothing in common

24.

Geometric sequences have...

a)

Common ration

b)

Common difference

c)

Nothing in common

25.

A common difference is...

a)

The number you multiply in arithmetic sequences

b)

The number you subtract in arithmetic sequences

c)

The number you add in geometric sequences

d)

The number you add in arithmetic sequences

26.

A common ratio is...

a)

The number you multiply in geometric sequences

b)

The number you multiply in arithmetic sequences

c)

The number you add in geometric sequences

d)

The number you divide in geometric sequences

27.

Find the common difference:

4,7,10,13 ...

a)

d = 3

b)

r = 3

c)

d = -3

d)

r = -3

28.

Find the common difference:

12,8,4,0 ...

a)

d = -4

b)

r = -4

c)

d = 4

d)

r = 4

29.

Find the common difference:

1/2,3/4,1,5/4...

a)

d = 1 / 4

b)

r = 1 / 4

c)

d = 4

d)

r = 4

30.

Find the common ratio:

4,12,36,108 ...

a)

r = 3

b)

d = 3

c)

r = 1 / 3

d)

d = 1 / 3

31.

Find the common ratio:

5,-10,20,-40_...

a)

r = 2

b)

r = - 1 / 2

c)

r = -2

d)

r = 1 / 2

32.

Find the next two terms:

0.01,1.11,2.21,3.31,______, ______...

a)

4.41, 5.51 ...

b)

4.4, 5.5 ...

c)

4, 5 ...

d)

4.31, 5.31 ...

33.

Find the next two terms:

102,96,90,84,______, ______...

a)

78, 72...

b)

80, 76 ...

c)

72, 78 ...

d)

76, 80...

34.

Determine if the following is Arithmetic, Geometric, or Neither:

1,3,5,7,______, ______...

a)

Arithmetic

b)

Geometric

c)

Neither

35.

Determine if the following is Arithmetic, Geometric, or Neither:

1,2,4,7,11,______, ______...

a)

Arithmetic

b)

Geometric

c)

Neither

36.

Determine the type of sequence and the common ratio or common difference:

22,21.05,20.1,19.15______, ______...

a)

Arithmetic

d = -0.95

b)

Arithmetic

d = -0.96

c)

Geometric

r = 0.95

d)

Arithmetic

r = -0.95

e)

Neither

37.

Determine the type of sequence and the common ratio or common difference:

50,10,2, 2/5,______, ______...

a)

Arithmetic

d = 5

b)

Arithmetic

d = 1 / 5

c)

Geometric

r = 1 / 5

d)

Geometric

r = 5

e)

Neither

38.

Find the slope:

a)

2

b)

-2

c)

1/2

d)

-1/2

39.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

40.

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

41.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

42.

What is the y-intercept of this line?

a)

2

b)

-2

c)

3

d)

Cannot be Determined

43.

^{What is the x- intercept of the line?}

a)

x = 1

b)

x = 2

c)

x = -1

d)

x = -2

44.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

45.

What is the slope?

a)

m = 1/4

b)

m = -4

c)

m = -1/4

d)

m = 4

46.

Evaluate f(-2) if f(x) = x²+ 3

a)

-1

b)

1

c)

7

d)

-7

47.

If h(a) = 3 - 2x², find h(-3).

a)

33

b)

21

c)

39

d)

-15

48.

For the function f(x) = -3(x-1) find f(0).

a)

0

b)

-3

c)

3

d)

-1

49.

Evaluate f(-2) if f(x) = x + 3

a)

-1

b)

1

c)

5

d)

-5

50.

Evaluate f(-2) if f(x) = x²+ 3

a)

-1

b)

1

c)

7

d)

-7

51.

6x + 3(-x + 11) = 3

a)

-10

b)

10

c)

15

d)

-15

52.

144 + =-12(x+ 5)

a)

-`7

b)

-17

c)

14

53.

9x -7 = -7

a)

4

b)

0

c)

5

54.

-15 = -4m + 5

a)

4

b)

7

c)

5

55.

Solve for t.
D= rt

a)

D/r = t

b)

Dr = t

c)

D/t = r

d)

Dt = r

56.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

57.

Solve:
y = mx + b , for b

a)

y - mx = b

b)

y + mx = b

c)

y/mx = b

d)

y + mx = -b

58.

Solve:
8x + 4y = 16 , for y

a)

y = -2x + 4

b)

y = 2x - 4

c)

y = 2x + 4

d)

y = -2x - 4

59.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

60.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

61.

a)

A

b)

B

c)

C

d)

D

62.

4x - 2 ≤ -22

a)

x ≥ -5

b)

x ≥ -6

c)

x ≤ -6

d)

x ≤ -5

63.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

64.

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

65.

Which inequality can be represented by the graph?

a)

x < 5

b)

x > 5

c)

x ≤ 5

d)

x ≥ 5

66.

Which inequality can be represented by the graph?

a)

x < 5

b)

x > 5

c)

x ≤ 5

d)

x ≥ 5

67.

Which inequality can be represented by the graph?

a)

x < 5

b)

x > 5

c)

x ≤ 5

d)

x ≥ 5

68.

1.) Graph the following: $y=3x-4$

a)

b)

c)

d)

69.

2.) Graph the following: $y=-\frac{2}{3}x+1$

a)

b)

c)

d)

70.

What is the slope of the equation?

y = -2x - 1

a)

2

b)

-2

c)

-2x

d)

-1

71.

Find the slope and y - intercept

y = 1/2x - 1

a)

slope: 1/2 y-intercept: -1

b)

slope: 2 y-intercept: -1

c)

slope: 1/2x y-intercept: 1

d)

slope: 2 y-intercept: 5

72.

What is the y-intercept in the equation

y= - 2x

a)

-2

b)

-2x

c)

0

d)

1

73.

Find the slope of the line.

Hint: rise/run

a)

1/2

b)

-1/2

c)

2

d)

0

74.

Find the slope.

Hint: rise/run

a)

-5/3

b)

-3/5

c)

5/3

d)

5

75.

Consider the equation:
y = -5x + 4
Identify the slope and y-intercept.

a)

m=4, b=x

b)

m=-5x, b=4

c)

m=5, b=4

d)

m=-5, b=4

76.

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

a)

A

b)

B

c)

C

d)

D

77.

Answer

a)

A

b)

B

c)

C

d)

D

78.

Write the equation for the line in slope-intercept form.

a)

y=-1x+3

b)

y=4x+3

c)

y=¼x+3

d)

y=-4x+3

79.

Write the equation of the line.

a)

y=⅗x+1

b)

y=⅗x-1

c)

y=(5/3)x+1

d)

y=(3/5)x+1

80.

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

81.

Give the solution to the system

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

No solution

82.

If a system of equations has infinitely many solutions, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

the same line (coinciding lines)

83.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

the same line (coinciding lines)

84.

What is the solution to this system?

a)

(-2, -2)

b)

(2, -2)

c)

(-2,2)

d)

(2, 2)

85.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

86.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

87.

Solve each system of equations.
y = 3x - 11
2x + 3y = 0

a)

(-2,3)

b)

(-3,2)

c)

(3,-2)

d)

(2,-3)

88.

Solve by substitution:

x = -3y - 17

2x + 3y = -7

a)

(1, -20)

b)

(3, 0)

c)

(-5, -2)

d)

(10 , -9)

89.

Solve by elimination:
4x + 9y = 28
-4x - y = -28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

90.

Solve by elimination:
7x + y = -9
-3x - y = 5

a)

No solution

b)

(1,8)

c)

(-2,-3)

d)

(-1,-2)

91.

Solve by elimination:
4x + 9y = 28
-4x - y = -28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

92.

Solve by elimination:
4x+4y=4

3x+4y=10

a)

(7,-6)

b)

(-6,7)

c)

(6,7)

d)

(7,6)

93.

Solve by elimination:
-x+2y=17

2x+2y=-10

a)

ARN

b)

(-9,4)

c)

(-9,-4)

d)

(9,-4)

94.

Which inequality is graphed on the given coordinate plane?

a)

y > x + 1

b)

y < x + 1

c)

y ≥ -x + 1

d)

y ≤ -x + 1

95.

Which inequality is graphed on the given coordinate plane?

a)

y < 2x +2

b)

y > ¹/₂x - 2

c)

y ≥ - 2x +2

d)

y ≥ 2x - 2

96.

This graph represents the inequality y < 3, TRUE or FALSE?

a)

TRUE

b)

FALSE

97.

The given graph represents the inequality x < -1, TRUE or FALSE?

a)

TRUE

b)

FALSE

98.

Which ordered pair(s) is a solution to the given system?

a)

(5, -5)

b)

(0,0)

c)

(-5, -2)

d)

(3,-3)

99.

Which ordered pair(s) is a solution to the given system?

a)

(5,0)

b)

(1,-3)

c)

(3,3)

d)

(2,1)

100.

This system has an infinite number of solutions, TRUE or FALSE?

a)

TRUE

b)

FALSE

101.

Rewrite this inequality in "y=" form to graph.
3x - 6y > 12

a)

y > ¹/₂x - 2

b)

y < -¹/₂x + 2

c)

y < ¹/₂x - 2

d)

y > -3x - 2

102.

$y\le\frac{1}{3}x-2$ Graph the inequality

a)

b)

c)

d)

103.

Graph the system of inequalities.
$y-3x<5$

y>-x+3

a)

b)

c)

d)

104.

Rewrite this inequality in "y=" form to graph.

3x - 2y > 12

a)

y > 3/₂x - 6

b)

y < -³/₂x + 6

c)

y < ³/₂x - 6

d)

y > -3x - 12

105.

Graph the inequality. $y<-\frac{1}{2}x+2$

a)

b)

c)

d)

Algebra 1 Semester 1 Review

Total questions: 105

Worksheet time: 4hrs 21mins

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