Free Printable Solving Algebraic equations Review

1.

A(n) ______________ is a statement that two mathematical expression are equal

a)

equation

b)

inverse operation

c)

solution of an equation

d)

expression

2.

Multiplying 5 and dividing 5 are ________________.

a)

equations

b)

inverse operations

c)

solutions of an equation

d)

expressions

3.

Write an equation for the word sentence:
The sum of a number and 4.5 is 8.2.

a)

8.2=4.5n

b)

n+4.5=8.2

c)

8.2n=4.5

d)

n-4.5=8.2

4.

Write an equation for the word sentence:
Three times the cost is $24.

a)

3c=24

b)

24c=3

c)

c+3=24

d)

c-3=24

5.

Determine whether the given value of the variable is a solution of the equation.
x - 24 = 58; x = 82

a)

yes

b)

no

6.

Solve the equation:
a + 2.4 = 7.8

a)

a = 10.2

b)

a = 5.4

c)

a = 17.76

d)

a = 3.25

7.

Solve the equation:
3x = 27

a)

x = 9

b)

x = 24

c)

x = 81

d)

x = 30

8.

Solve the equation:
t ÷ 4 = 16

a)

t = 4

b)

t = 12

c)

t = 20

d)

t = 64

9.

A stadium has a total of 18,000 seats. Of these, 7,500 are field seats, and the rest are grandstand seats. Which equation could be used to find the number of grandstand seats s?

a)

s + 7,500 = 18,000

b)

s - 7,500 = 18,000

c)

s + 18,000 = 7,500

d)

s - 18,000 = 7,500

10.

Aaron wants to buy a bicycle that costs $128. So far, he has saved $56. The equation
a + 56 = 128 can be used to find the amount a in dollars that Aaron still needs to save. What is the solution of the equation?

a)

a=64

b)

a=72

c)

a=132

d)

a=184

11.

Ms. McNeil buys 2.4 gallons of gasoline.
The total cost is $7.56. The equation
2.4p = 7.56 can be used to find the price p in dollars of the one gallon of gasoline. What is the price of one gallon of gasoline?

a)

$1.81

b)

$2.40

c)

$3.15

d)

$5.16

12.

Crystal is picking blueberries. So far, she has filled ⅔ of her basket, and the blueberries weigh ¾ pound. The equation
⅔w=¾ can be used to estimate the weight w in pounds of the blueberries when the basket is full. About how much will the blueberries in Crystal's basket weigh when it is full?

a)

⅜ pound

b)

½ pound

c)

1 ⅛ pound

d)

2 ¼ pound

13.

4 + 3x = 16

a)

3

b)

4

c)

5

d)

6

14.

7x + 10 = 24

a)

2

b)

3

c)

4 6/7

d)

-2

15.

5x + 3 = 53

a)

13

b)

12

c)

11

d)

10

16.

9 + 2x = 15

a)

2/3

b)

2

c)

3

d)

5

17.

6x - 3 = 33

a)

5

b)

6

c)

7

d)

8

18.

20 = 8x - 12

a)

2

b)

3

c)

4

d)

5

19.

115 = 12x - 5

a)

6

b)

8

c)

10

d)

12

20.

115 = 12x - 5

a)

6

b)

8

c)

10

d)

12

21.

5x - 3 = 32

a)

5

b)

6

c)

6.5

d)

7

22.

45 = 4x + x + 10

a)

4

b)

5

c)

6

d)

7

23.

1 + 7x + 6x = 53

a)

3

b)

4

c)

5

d)

6

24.

1 + 7x + 6x = 53

a)

3

b)

4

c)

5

d)

6

25.

Rewrite the sentence into an algebraic expression:

The sum of ten times a number and 12

a)

10 x a number +12

b)

10n -12=

c)

10n + 12 =

d)

\frac{10}{n+12}

26.

Solve:

6b

b=6

a)

36

b)

12

c)

16

d)

6+b

27.

Solve: y (11-2)

y=3

a)

33

b)

22

c)

9

d)

27

28.

The formula for renting videos is $5.00x + $2.50y, where x=new and y=old.

If Peter rented 4 new and 7 old, how much would he spend?

a)

27.50

b)

37.50

c)

43.00

d)

55.00

29.

Kisha bought 4 packs of cookies. Each package had 8 cookies. What equation could you use?

a)

4+8=n

b)

8/4=n

c)

4x8=n

d)

8-4=n

30.

Which of the following is equivalent to x/8 = 7

a)

x=7/8

b)

X/7=1/8

c)

X/4=14

d)

X/16=14

31.

After Bob added 27 to his number he had a total of 130. What was his number?

a)

130

b)

103

c)

106

d)

3

32.

Use the picture to the right....

One triangle weighs how much?

a)

Same as a square

b)

Same as 3 squares

c)

Same as 2 squares

d)

This is impossible!!

33.

Which ones are equivalent equations?

I. 2x-8=-2 and x=3

II. 5x=2 and x/5=2

III. 2x+8=8 and 2x=0

a)

I

b)

II

c)

I and III

d)

I, II, and III

34.

Solve

10m = 25

a)

-17.5

b)

2.5

c)

150

d)

35

35.

How many in the seventh pattern?

a)

15

b)

14

c)

17

d)

27

36.

If x=4, what is the value of 2x + 18

a)

20

b)

22

c)

24

d)

26

37.

What is the missing value for x in the following pattern?

3,6,9,12,x,18

(a)

38.

There are x people on the train. At the next station, 37 people get off and 12 people get on. How many people are on the train now in terms of x?

a)

x – 25

b)

x – 49

c)

x + 25

d)

x + 49

39.

In a bus of 40 passengers, the number of women is 7 times more the number of the men. How many women are in that bus?

a)

5

b)

15

c)

33

d)

35

40.

There are b bicycles and t tricycles on the park. How many wheels in total?

a)

b + t

b)

2b + 2t

c)

3t + 2b

d)

3t – 2b

41.

The sum of 30 and twice an unknown number is 120.

The unknown number is ....

a)

90

b)

45

c)

30

d)

60

42.

In a bus of 40 passengers, the number of women is 7 times more the number of the men. How many women are in that bus?

a)

5

b)

15

c)

33

d)

35

43.

Wire A is w m long. Wire B is twice as long as Wire A. Wire C is 3 m shorter than Wire B. If the total length of the three wires is 32 m, how long is Wire A?

a)

7

b)

14

c)

21

d)

35

44.

There are x people on the train. At the next station, 37 people get off and 12 people get on. How many people are on the train now in terms of x?

a)

x – 25

b)

x – 49

c)

x + 25

d)

x + 49

45.

Tammy cut a long ribbon into some 75 cm pieces. She managed to cut r pieces of ribbon, and there was 40 cm left over. How many cm was the ribbon at first in terms of r?

a)

75r – 40

b)

75r + 40

c)

40 – 75r

d)

40r + 75

46.

There are b bicycles and t tricycles on the park. How many wheels in total?

a)

b + t

b)

2b + 2t

c)

3t + 2b

d)

3t – 2b

47.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

48.

What point is the y-intercept?

a)

(2,0)

b)

(0,2)

c)

(0,-2)

d)

there is no y-intercept

49.

What is the y-intercept of the equation $y=4x-5$

a)

-4

b)

-4x

c)

5

d)

-5

50.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

51.

A dog walker earns $10 each day plus $3 per dog. What equation represents this model?

a)

y=3x + 10

b)

y=10x + 3

c)

y=13x

d)

y=10x - 3

52.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

53.

The rate of change of a linear relation is:

a)

the slope

b)

the y-intercept

c)

the equation of a line

d)

none of the above

e)

all of the above

54.

Identify the rate of change (multiplier).

a)

C

b)

n

c)

5

d)

0

55.

Match the equation to a correct statement.

a)

He charged $5 every hour.

b)

He left 5 hours ago.

c)

he started with $5

d)

he bought 5 lemons

56.

What is the cost for 5 items?

a)

5

b)

0

c)

30

d)

25

57.

If Nick works 10 hours, how much money will he earn? (Use this rule)

a)

$17

b)

$70

c)

$80

d)

$107

58.

The initial value is ...

a)

20

b)

0

c)

100

d)

5

59.

The sum of 6 and x

a)

x + 6

b)

6/x

c)

x + 4

d)

6x

60.

Evaluate the expression. Let c = 3 d = 2
3c + 7d

a)

27

b)

21

c)

29

d)

23

61.

Evaluate expression: 5a + b for a= 6 and b= 3

a)

33

b)

36

c)

30

d)

59

62.

Evaluate 8 + g when g=28

a)

36

b)

288

c)

20

d)

828

63.

What is the rule for this pattern?
32,36,40,44

a)

add 4

b)

multiply 2

c)

subtract 4

d)

divide by 2

64.

What number belongs in the blank?
18,24,___,36,42

a)

28

b)

31

c)

30

d)

35

65.

How many counters would come next?

a)

5

b)

7

c)

9

d)

11

66.

Match the equation to a correct statement.

a)

He charged $5 every hour.

b)

He left 5 hours ago.

c)

he started with $5

d)

he bought 5 lemons

67.

What is the cost for 5 items?

a)

5

b)

0

c)

30

d)

25

68.

If Nick works 10 hours, how much money will he earn? (Use this rule)

a)

$17

b)

$70

c)

$80

d)

$107

69.

The equation for this graph is ...

a)

C = 5n

b)

C = 100n

c)

C = -5n + 100

d)

C = 5n + 100

70.

What is the rule?

a)

T= 3 x P

b)

T = 6 x P + 3

c)

T = 3 x P + 6

d)

T = 9P

71.

How many tiles would be in position 100?

a)

303

b)

300

c)

15

d)

100

72.

What does the fish look like at birth?

a)

2 orange tiles and 2 red tiles

b)

2 red tiles

c)

2 orange tiles

d)

No tiles at all

73.

The sum of 6 and x

a)

x + 6

b)

6/x

c)

x + 4

d)

6x

74.

Y divided by 5

a)

y/5

b)

6 X y/5

c)

6/5x

d)

5x/6

75.

What is the quotient of y and 5?

a)

y - 5

b)

y + 5

c)

y X 5

d)

y/5

76.

Evaluate 2r + 1 if r = 3

a)

6

b)

5

c)

7

d)

8

77.

Evaluate the expression. Let c = 3 d = 2
3c + 7d

a)

27

b)

21

c)

29

d)

23

78.

What is the operation of the following expression? x/5

a)

multiplication

b)

addition

c)

subtraction

d)

division

79.

Evaluate expression: 5a + b for a= 6 and b= 3

a)

33

b)

36

c)

30

d)

59

80.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

81.

What is the rule for this pattern?
32,36,40,44

a)

add 4

b)

multiply 2

c)

subtract 4

d)

divide by 2

82.

What number belongs in the blank?
18,24,___,36,42

a)

28

b)

31

c)

30

d)

35

83.

How many blocks will be in the 4th term?

a)

The next term will have 16 blocks

b)

The next term will have 15 blocks.

c)

The next term will have 14 blocks.

d)

This is the end of the pattern.

84.

If you extended the pattern, how many dots would come next?

a)

16

b)

20

c)

25

d)

30

85.

What is the rule for this pattern?
32,36,40,44

a)

add 4

b)

multiply 2

c)

subtract 4

d)

divide by 2

86.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

87.

A dog walker earns $10 each day plus $3 per dog. What equation represents this model?

a)

y=3x + 10

b)

y=10x + 3

c)

y=13x

d)

y=10x - 3

88.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

89.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

90.

Which equation matches the table?

a)

y = 3x + 9

b)

y = x + 9

c)

y = x + 3

d)

y = 12x - 3

91.

What are the x and y intercepts, to the closest whole numbers, of the line shown in the graph?

a)

The x-intercept is (-3, 0)

The y-intercept is (0, -4)

b)

The x-intercept is (0, -3)

The y-intercept is (0, -4)

c)

The x-intercept is (-4, 0)

The y-intercept is (-3, 0)

d)

The x-intercept is (0, -4)

The y-intercept is (-3, 0)

92.

Identify the rate of change (multiplier).

a)

C

b)

n

c)

5

d)

0

93.

How many quadrants are on a coordinate grid?

a)

5

b)

10

c)

4

94.

Which number in the ordered pair, (-4, 5) represents the x-value?

a)

-4

b)

5

95.

What letter is at the ordered pair (0, 3)?

a)

A

b)

M

c)

R

d)

L

96.

On the coordinate plane, which line is the x-axis?

a)

Horizontal Line (Side to Side)

b)

Vertical Line (Up and Down)

97.

Which quadrant contains the ordered pair (2, 5)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

98.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

99.

A set of two real numbers that locate a point on a plane is called __________________.

a)

Origin

b)

Coordinate Plane

c)

Ordered Pair

d)

Graph

100.

Which variable represents the second number in an ordered pair?

a)

X

b)

Y

c)

T

d)

G

101.

How do you write an ordered pair?

a)

(X,X)

b)

(Y,X)

c)

(X,Y)

d)

(Y,Y)

102.

A cross-country ski park contains five different trails. The diagram shows the trails, with each trail being successively larger. Each side length of the shortest trail is 2 km. The side length of each consecutive trail is 0.5 km longer than the previous one.

a)

y = 8x

b)

y = 2x - 5

c)

y = 2x + 6

d)

y = 4x

103.

What equation models the graph?

a)

y = x + 1

b)

y = x - 1

c)

y = 0.5x - 2

d)

y = 0.5x + 2

104.

On top of the $45 monthly fee, Mike’s cell phone plan charges $0.15 for every text message he sends or receives. Write an equation to represent the situation, and if his budget is $80, how many text messages can he send or receive?

a)

y = 45x + 0.15, 2 texts

b)

y = 45x + 0.15, 3600 texts

c)

y = 0.15x + 45, 233 texts

d)

y = 0.15x + 45, 57 texts

105.

What is the cost for 5 items?

a)

5

b)

0

c)

30

d)

25

106.

Total pay is $10 to show up
and $7 for every hour worked. Which of the following statements is true?

a)

The initial value is 7

b)

the initial value is 10

c)

the rate of change is 10

d)

the initial value is 17

107.

If Nick works 10 hours, how much money will he earn? (Use this rule)

a)

$17

b)

$70

c)

$80

d)

$107

108.

The equation for this graph is ...

a)

C = 5n

b)

C = 100n

c)

C = -5n + 100

d)

C = 5n + 100

109.

Evaluate the expression. Let c = 3 d = 2
3c + 7d

a)

27

b)

21

c)

29

d)

23

110.

What point is the y-intercept?

a)

(2,0)

b)

(0,2)

c)

(0,-2)

d)

there is no y-intercept

111.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

112.

What is the y-intercept of the equation $y=4x-5$

a)

-4

b)

-4x

c)

5

d)

-5

113.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

114.

A dog walker earns $10 each day plus $3 per dog. What equation represents this model?

a)

y=3x + 10

b)

y=10x + 3

c)

y=13x

d)

y=10x - 3

115.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

116.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

117.

Bowling costs $4 for shoe rental plus $5 for every game. Which equation shows how much it costs to go bowling for x games?

a)

y = 5x + 4

b)

y = 4x + 5

c)

y = 4(5)x

d)

y = 5x - 4

118.

What is the equation for the table?

a)

y =1/4x -3

b)

y =4x - 3

c)

y = -3x -3

d)

y =-2x -3

119.

How many tiles would be in position 100?

a)

303

b)

300

c)

15

d)

100

120.

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.

a)

y = x(35 + 0.75)

b)

y = 35x + 0.75

c)

y = 0.75x + 35

d)

y = 0.75(x + 35)

121.

A plant is 5cm tall and growing at a rate of 3cm a month.

a)

y = 5 + 3

b)

y = 5x + 3

c)

y = 3x + 5

d)

y = 3x + 5x

Solving Algebraic equations Review

Total questions: 121

Worksheet time: 4hrs 59mins

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