Free Printable Intro to Algebraic Review

1.

Solve
3x + 5 = 20.

a)

x = 25/3

b)

x = 5

c)

x = 2

d)

x = -5

2.

Solve
4 - 2x < 12.

a)

x < -4

b)

x < -8

c)

x > -4

d)

x > -8

3.

What expression represents:
Seven more than three times a number?

a)

3n + 7

b)

7n + 3

c)

7n x 3

d)

7n - 3

4.

Evaluate f(-2) if f(x) = x²+ 3

a)

-1

b)

1

c)

7

d)

-7

5.

If h(a) = 3 - 2a
Find h(-3).

a)

12

b)

-2

c)

-3

d)

9

6.

Let w(x) = 3x - 7. If w(x) = 14, find x.

a)

7

b)

35

c)

2.33333

d)

-49

7.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

8.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a function

9.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

10.

Is the graph pictured a function?

a)

Yes

b)

No

11.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

12.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

13.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

14.

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

15.

Which of the following is a function?

a)

(5, 0) (5, 2) (2, 0)

b)

(4, -2) (3, 0) (4, 2)

c)

(1, 0) (2, -1) (3, -1)

d)

(2, -2) (6, -2) (6, 2)

16.

Which of the following is NOT a function?

a)

(1, 1) (2, 2)
(3, 3) (4, 4)

b)

(4, 5) (1, 5)
(3, 8) (4, 6)

c)

(10, 2) (-10, 2)
(6, 4) (5, 3)

d)

(6, 1) (5, 1)
(4, 1) (3, 1)

17.

For the function f(x)=-2x+13, f(-4)

a)

21

b)

5

c)

-8

d)

7

18.

For the function f(x)=3(x+1), f(5)

a)

16

b)

15

c)

18

d)

9

19.

Give the domain and range of the relation.
{(-2,-1), (-1,0), (0,-1), (1,0), (2,-1)}

a)

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

b)

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

c)

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

d)

D: {-2 < x < 2}
R: {-1 < y < 0}

20.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

21.

Solve for y:
8x + 4y= 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

22.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

23.

Solve m - n = 5 for m.

a)

m = 5 + n

b)

m = -5 - n

c)

m = -5 + n

d)

m = 5 - n

24.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

25.

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

26.

a)

{-2, 3, 7}

b)

[-2, 3]

c)

{1, 2, 2, 3, 4}

d)

[1, 4]

27.

Solve.
-5x + 1.5 = -19.5

a)

-3.6

b)

4.2

c)

3.6

d)

-4.2

28.

Solve.
x - 10 = 6x + 4

a)

6/5

b)

-6/5

c)

2

d)

-2

29.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

30.

Solve the following equation for x:
6x + 2 = 8x - 2

a)

x = -1

b)

x = 1

c)

x = 2

d)

x = 10/14

31.

10 < 3x + 19

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

32.

-4x + 14 ≤ 54

a)

x ≥ -10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

33.

The set of x-coordinates of the ordered pairs of a relation is called?

a)

range

b)

relation

c)

domain

d)

correlation

34.

Give the domain and range. Tell if it is a function.

a)

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

b)

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

c)

D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function

d)

D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function

35.

Determine the relationship. Write an equation.
X: 1, 2, 3, 4
Y: -6, -5, -4, -3

a)

y = x - 7

b)

y = -7x

c)

y = 7 - x

d)

No Relationship

36.

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)

37.

n+2=-14-n

a)

6

b)

8

c)

-8

38.

Solve: -7(z - 6) = -70

a)

16

b)

-16

c)

8

d)

-1/2

39.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

40.

Figure out what n equals in this equation:
6n + 4 = -26

a)

n=-6

b)

n= -5

c)

n= 8

d)

n= -4

41.

Which equation has x =2 as a solution?

a)

3 + x = 10

b)

11 + x = 13

c)

4x = 32

d)

5x =25

42.

Solve for x:
-30 - 5x = 120

a)

x = 18

b)

x = -18

c)

x = 30

d)

x = -30

43.

Solve for x:
52 = -5x - 3

a)

x = 11

b)

x = -11

c)

x = 275

d)

x = -275

44.

5x = 30 + 40

a)

15

b)

14

c)

56

d)

21

45.

a)

A

b)

B

c)

C

d)

D

46.

a)

55

b)

60

c)

15

d)

35

47.

a)

A

b)

B

c)

C

d)

D

48.

a)

A

b)

B

c)

C

d)

D

49.

a)

A

b)

B

c)

C

d)

D

50.

a)

A

b)

B

c)

C

d)

D

51.

a)

A

b)

B

c)

C

d)

D

52.

a)

A

b)

B

c)

C

d)

D

53.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

54.

Solve the Equation:
2(6b + 1) = 4(b - 5) -2

a)

b = - 2.75

b)

b = -7/8

c)

b = 3

d)

b = -3

55.

-11-5a = 6(5a + 4)

a)

-1

b)

-2

c)

-3

d)

-4

56.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

57.

-2 (x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

58.

-4x -7 ≥ 21

a)

x ≤ 7

b)

x ≥ -7

c)

x ≤ 8

d)

x ≤ -8

59.

10 < 3x + 19

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

60.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

61.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

62.

7 is less than a number.

a)

x > 7

b)

x < 7

c)

x ≤ 7

d)

x ≥ 7

63.

55c + 13 ≤ 75c + 39

a)

c≤10/13

b)

c ≥ −10/13

c)

-c>19

d)

c≤50/80

64.

30b + 53 ≥ 18b − 83

a)

b≥−34/3

b)

b≥-14 2/3

c)

b>8

d)

-b<12

65.

54x + 64 ≥ 49x + 59

a)

x≥−1

b)

x≤-1

c)

x>9

d)

x<-3

66.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

67.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

68.

Will be circle be open or closed?
-5x ≤ -25

a)

Open

b)

Closed

69.

Solve the equation.
-11-5a = 6(5a + 4)

a)

-1

b)

-2

c)

-3

d)

-4

70.

6(n + 2) < -72

a)

n < -14

b)

n < 35/3

c)

n < -10

d)

∞

71.

Solve:
3(y+5)≥21

a)

y≤2

b)

y≥2

c)

y≥12

d)

y≤12

72.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

73.

Match the graph with its inequality.

a)

c > 9

b)

c < 9

c)

c ≥ 9

d)

c ≤ 9

74.

Write an inequality for this situation:
How many hours must you babysit to earn enough money to pay for the $99 kit that you want?

a)

b < 99

b)

b > 99

c)

b ≤ 99

d)

b ≥ 99

75.

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

76.

Simplify the following:
-8 + (15 - 3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

77.

What is the first step in solving this problem:
-2 ⋅ (3 + 8 ÷ 4)²

a)

multiplication

b)

addition

c)

division

d)

subtraction

78.

Simplify the following:
-8 + (15 - 3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

79.

Evaluate the expression.

a)

15

b)

11

c)

-15

d)

-11

80.

2 + 4⋅6 − 3⋅5 + 6⋅2

a)

23

b)

34

c)

-1

d)

33

81.

7[12 − (6 − 2) ÷ 4]

a)

7

b)

77

c)

14

d)

0

82.

If a = 4 & b = 6, what is 3a + 5b?

a)

40

b)

42

c)

44

d)

46

83.

If y=7,find the value of 2(y+4)

a)

11

b)

22

c)

20

84.

If x = 5, y = 3 & z = 2, what is x + 2y + 3z

a)

15

b)

16

c)

17

d)

18

85.

Solve: 2(4x - 3) - 8 = 4 + 2x

a)

5/3

b)

3

c)

1

d)

2

86.

Solve: 5x + 34 = -2(-7x + 1)

a)

-4

b)

9

c)

4

d)

36/19

87.

(y + z)² when y=5 and z=2

a)

7

b)

49

c)

29

d)

14

88.

If x=8, is the following number sentence true or false? 4 + x = 12

a)

True

b)

False

89.

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

90.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

91.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

92.

Solve |x – 12| - 3 = 11.

a)

-2, -26

b)

-2, 26

c)

3, 25

d)

4, -7

93.

Solve |2x –3| + 5 =10.

a)

-1, 1

b)

-1, 4

c)

-1, -4

d)

1, 4

94.

−2|−2r − 4| = -12

a)

{3,1}

b)

{-3,-1}

c)

{-3}

d)

No Solution

95.

Solve the absolute value equation.

a)

{-10, 4}

b)

{-38, 32}

c)

{-35, 35}

d)

{-33, 27}

96.

| m| -2 < 0

a)

(-2,2)

b)

[-2,2]

c)

m>2

d)

(-2,infinity)

97.

What are the solutions?
-|−2r − 1| = 11

a)

{-6,5}

b)

{5,-6}

c)

-6

d)

No Solution

98.

Solve.
3| −8x| + 8 = 80

a)

{-7/3, 7/3}

b)

{-3,3}

c)

{11/3,-11/3}

d)

No Solution

99.

-8<-4(2x-4)<8

a)

(-3, -1)

b)

(-∞, -3) ∪ (-1, ∞)

c)

No Solution

d)

(1, 3)

100.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

101.

|6n| ≤ 18

a)

9>n<7

b)

-3 ≤ n ≤ 3

c)

-2≤ n≤ 8

d)

-7>n≤ -7

102.

|b-8|+10>22

a)

-4<b<20

b)

b<-4 or b>20

c)

20<b<-4

d)

b=-4 or b=20

103.

5∣ x ∣ - 8 = 2

a)

x = 5
x = 2

b)

x = 2
x = -2

c)

x = -5
x = 10

d)

x = 18
x = -18

104.

∣ 2x + 9 ∣ = 15

a)

x = 3
x = 6

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

105.

3(3x+4)<9(x-3)

a)

12<-27

b)

x<-39

c)

x>-39

d)

No Solution

106.

Solve the proportion below:

a)

418

b)

2

c)

38

d)

11

Intro to Algebraic Review

Total questions: 106

Worksheet time: 7hrs 55mins

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