Free Printable Algebra Equations

1.

4(x + 4) + 3(x -3) = 2(x -3) + 12

4 lines

2.

(x + 5) : 4 = (x - 3) : 2

4 lines

3.

Simplify 3m + 6m

(a)

4.

What is the expression that represents

"5 is add to y and then the result is doubled"

a)

$y+5\times2$

b)

$2\left(y+5\right)$

c)

$\left(y+5\right)2$

d)

$\left(y+5\right)\times2$

5.

What is the value of $x^2-3x-10$ when $x=5$ ?

a)

0

b)

2

c)

4

d)

-5

6.

If $a=-2,\ b=3$ calculate the value of $2a+3b$

a)

$5$

b)

$4$

c)

$11$

d)

$10$

7.

If $a=2,\ b=3$ calculate the value of $2a+3b$

a)

$31$

b)

$55$

c)

$13$

d)

$10$

8.

Evaluate.

a)

8

b)

64

c)

448

d)

16

9.

Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

10.

What is the value of $x^2-3x-10$ when $x=5$ ?

a)

0

b)

2

c)

4

d)

-5

11.

The graph of a quadratic parent function f was transformed to create the graph of g(x) = f(x + 2) - 5. Which graph best represents g?

a)

F

b)

G

c)

H

d)

J

12.

Simplify.

a)

4/c²d²

b)

-4/c²d⁶

c)

4c²d⁶

d)

1/4c²d⁶

13.

a)

x is less than or equal to 2

b)

x < 2

c)

2 < x

d)

x is greater than 2

14.

3r + 2e; r = 3 e = 2

a)

15

b)

13

c)

54

d)

12

15.

Convert the phrase into mathematical expression:

"the sum of a number and 13"

a)

x - 13

b)

x + 13

c)

13x

d)

x/13

16.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

17.

Evaluate 4y if y = 3

a)

7

b)

12

18.

Evaluate.

a)

81

b)

18

c)

9

d)

2

19.

What are you most looking forward to about high school?

a)

Math Class

b)

I get to have my phone with me.

c)

Sports and Activities.

d)

Cute boys (or cute girls)

20.

Evaluate.

a)

-1/64

b)

1/16

c)

1/12

d)

-1/12

21.

Convert the phrase into mathematical expression:

"the difference between 23 and twice a number"

a)

2x - 23

b)

(23 - 2)x

c)

23 + 2x

d)

23 - 2x

22.

Match the graph with its inequality. hint: don't be tricked by the variable on the right.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

23.

The price of a book and two pens is x dollars.

If the pen costs $0.35 , what is the cost of a book?

a)

x + 0.35

b)

x + 0.70

c)

x - 0.70

d)

x - 0.35

24.

Simplify.

a)

7s⁵t

b)

-7/5s⁵

c)

7/5s⁵

d)

7/5s⁵t

25.

What is the value of x?
3x + 4 when x = -2

a)

10

b)

2

c)

-2

d)

4

26.

Evaluate when a = 15:
2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

27.

Evaluate -2x if x = 10

a)

-8

b)

20

c)

-20

28.

5x = 15

x = ?

a)

x = 3

b)

x = 1

c)

x = 2

d)

x = 5

e)

x = 0

29.

R(x; y; z)= 3x³y⁴z⁸+x⁸y²z+z⁴

GR (x)=

GR (y)=

GR (z)=

a)

GR (x)=8

GR (y)=4

GR (z)=8

b)

GR (x)=9

GR (y)=8

GR (z)=6

c)

GR (x)=1

GR (y)=2

GR (z)=9

d)

GR (x)=8

GR (y)=4

GR (z)=3

30.

2y²+ 5y²– 3y²=

a)

4y²

b)

5y²

c)

9y²

d)

-8y²

31.

x⁵y³+ 2x⁴y+ 3x³y²+ 2xy⁵

GR (x)=

GR (y)=

a)

GR (x)=5

GR (y)=5

b)

GR (x)=10

GR (y)=7

c)

GR (x)=6

GR (y)=9

d)

GR (x)=8

GR (y)=7

32.

a)

A

b)

B

c)

C

d)

D

33.

Which equation describes the information presented in the picture:

a)

4x = x + 60

b)

5x + 60 = 180

c)

2x = 90

d)

5x + 60 = 360

34.

6x² y⁴+ 3xy⁵+x⁴y³+ 7x⁵y²

GA =

a)

GA =7

b)

GA =9

c)

GA =4

d)

GA =10

35.

a) 5ab– 7ab+ 16ab=

a)

+14ab

b)

5x

c)

67c⁹

d)

3x⁸

36.

a– 9a+ 6a=

a)

-2a

b)

+9a

c)

7a

d)

-4a

37.

7x– 4x+ 2x=

a)

5x

b)

5ab

c)

6yx

d)

64

38.

-4xy- 12xy+ 15xy =

a)

-xy

b)

-5xy

c)

+15xy

d)

7xy

39.

3x²y³+x⁴y+xy⁴

GA =

a)

GA =5

b)

GA =8

c)

GA =9

d)

GA =4

40.

Simplify.

a)

-12m⁸

b)

-12m⁴n⁴

c)

-24m⁴n⁴

d)

24m⁴n⁴

41.

The table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years since the trees were planted.

What is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted

a)

14 ft/yr

b)

3 ft/yr

c)

7 ft/yr

d)

10 ft/yr

42.

The expression $\left(x^{22}\right)\left(x^7\right)^3$ is equivalent to $x^p.$ What is the value of p?

a)

$32$

b)

$43$

c)

$34$ 462

43.

Evaluate.

a)

81

b)

18

c)

9

d)

2

44.

Simplify.

a)

3

b)

3²

c)

27

d)

1/3³

45.

The price of a book and two pens is x dollars.

If the pen costs $0.35 , what is the cost of a book?

a)

x + 0.35

b)

x + 0.70

c)

x - 0.70

d)

x - 0.35

46.

Evaluate when a = 15:
2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

47.

Convert the phrase into mathematical expression:

"the sum of a number and 13"

a)

x - 13

b)

x + 13

c)

13x

d)

x/13

48.

To convert the temperature in Celcius [C] to Fahrenheit [F], we can use the formula:

F = 9C/5 + 32

What is the degree in Fahrenheit when it is 30 C?

a)

56

b)

86

c)

88

d)

68

49.

Match the graph with its inequality. hint: don't be tricked by the variable on the right.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

50.

What is the value of x?
3x + 4 when x = -2

a)

10

b)

2

c)

-2

d)

4

51.

Evaluate.

a)

-1/64

b)

1/16

c)

1/12

d)

-1/12

52.

What is the perimeter of the rectangle:

a)

2x + 7

b)

4x + 14

c)

2x + 14

d)

4x + 7

53.

Convert the phrase into mathematical expression:

"3 more than twice a number"

a)

2x + 3

b)

2(x+3)

c)

(3+2)x

d)

3/2x

54.

Solve and then match the correct solution & graph.

a)

A

b)

B

c)

C

d)

D

55.

Evaluate.

a)

8

b)

64

c)

448

d)

16

56.

The graph of a quadratic parent function f was transformed to create the graph of g(x) = f(x + 2) - 5. Which graph best represents g?

a)

F

b)

G

c)

H

d)

J

57.

a)

x > 1

b)

1 ≥ x

c)

x is greater than or equal to 1

d)

x is less than or equal to 1

58.

A system of equations is graphed on the grid.

Which system of equations does the graph represent?

a)

y = -x - 4
y = 2x - 2

b)

y = -x + 4
y = 2x - 4

c)

y = x - 4
y = -2x - 2

d)

y = x + 4
y = -2x - 4

59.

Which graph best represents $y=10\left(0.85\right)^x?$

a)

$F$

b)

$G$

c)

$H$

d)

$J$

60.

a = 7b = 8.5c

So 2a = 14b = 15c?

True/False

(a)

61.

How would you solve the following equation?

$7m\ =\ 14$

a)

b)

c)

d)

62.

The variable, k, is being divided by 11. How should you show your work to isolate the variable?

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

63.

Solve for x:

3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

no solution

d)

infinite solutions

64.

How would you solve the following equation?

$\frac{r}{10}=5$

a)

b)

c)

d)

65.

How would you solve the following equation?

$\frac{w}{6}=5$

a)

b)

c)

d)

66.

What would be the best first step to solving the equation in one step?

a)

multiply both sides by 11

b)

multiply both sides by ¹/₂

c)

divide both sides by 2

d)

multiply both sides by 2

67.

How would you solve the following equation?

$3y\ =\ 21$

a)

b)

c)

d)

68.

How would you solve the following equation?

$j+15=30$

a)

b)

c)

d)

69.

How would you solve the following equation?

$b-8=16$

a)

b)

c)

d)

70.

How would you solve the following equation?

$p-9=13$

a)

b)

c)

d)

71.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

72.

Solve for x:

$8x-4\left(x+8\right)=8$

a)

x = 2

b)

x = 10

c)

x = 4

d)

x = -4

73.

Solve for x.

\frac{3}{7}x-8=1

a)

-16

b)

21

c)

-3

d)

9

74.

How would you solve the following equation?

$\frac{k}{8}=4$

a)

b)

c)

d)

75.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

76.

Solve for x.

\frac{2\ }{3}x=4

a)

3

b)

4

c)

5

d)

6

77.

How would you solve the following equation?

$8+n=16$

a)

b)

c)

d)

78.

What is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

79.

How would you solve the following equation?

$d+11=21$

a)

b)

c)

d)

80.

Solve the equation:

0 = 4h

a)

h = 4

b)

h = 1

c)

h = -4

d)

h = 0

81.

Answer.

a)

A

b)

B

c)

C

d)

D

82.

$g+3=7$

a)

$g=3$

b)

$g=4$

c)

$g=5$

d)

$g=6$

83.

$q+3=7$

a)

$q=3$

b)

$q=4$

c)

$q=5$

d)

$q=6$

84.

Find the correct equation.

a)

A

b)

B

c)

C

d)

D

85.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

86.

$42\div\left(15-2^3\right)$

a)

6

b)

4

c)

12

d)

14

87.

Solve for z.

a)

A

b)

B

c)

C

d)

D

88.

Solve for h.

a)

A

b)

B

c)

C

d)

D

89.

$f+4=8$

a)

$f=4$

b)

$f=5$

c)

$f=6$

d)

$f=7$

90.

Answer.

a)

A

b)

B

c)

C

d)

D

91.

$\frac{x}{2}=10$

a)

x = 12

b)

x = 5

c)

x = 8

d)

x = 20

92.

$p+3=7$

a)

$p=1$

b)

$p=2$

c)

$p=3$

d)

$p=4$

93.

Solve the equation below:

a)

k = 152

b)

k = 176

c)

k = 5

d)

k = 27

94.

$\left(4\times15\right)-3$

a)

2

b)

57

c)

5

d)

24

95.

Solve. $64-x=17$

a)

-47

b)

-81

c)

81

d)

47

96.

Solve for x:

$\frac{x}{5}=2$

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

97.

Solve for t.

a)

A

b)

B

c)

C

d)

D

98.

$g+2=4$

a)

$g=2$

b)

$g=3$

c)

$g=4$

d)

$g=5$

99.

$6^2-3\cdot4$

a)

20

b)

26

c)

24

d)

30

100.

3y + 4 = 22

a)

y = 8

b)

y = 7

c)

y = 6

d)

y = 29

Algebra Equations

Total questions: 100

Worksheet time: 3hrs 2mins

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