Free Printable Equations gr9-gr10

1.

4(x + 2) = 40

a)

x = 8

b)

x = -8

c)

x = 12

d)

x = -12

2.

3x - 9 = 33

a)

x= 8

b)

x = -14

c)

x = 2

d)

x = 14

3.

4x -7 = -35

a)

x = 8

b)

x = 7

c)

x = 10

d)

x = -7

4.

-5x -8 = 32

a)

x= -5

b)

x = 8

c)

x = 5

d)

x = -8

5.

In the expression, 24y + 16 - z + 8x, the coefficients are...

a)

24, -1, and 8

b)

24 and 8

c)

24, 1 and 8

d)

16

6.

4m -16 = 24

a)

m = -10

b)

m = -2

c)

m = 10

d)

m = 2

7.

2(x + 6) = 20

a)

x = 4

b)

x = -4

c)

x = 16

d)

x = 2

8.

3(2x - 7) = 39

a)

x = 7

b)

x = 8

c)

x = 10

d)

x = 3

9.

What is the coefficient of " x "

a)

0

b)

1

c)

there is none

d)

x

10.

the inverse means ....

a)

to do the same

b)

to undo

c)

to do the opposite

d)

to always multiply

11.

7( h - 2) = 35

a)

h = 6

b)

h = 5

c)

h = 7

d)

h = 3

12.

k + 38 = -20

a)

k = 58

b)

k = -58

c)

k = 18

d)

k = - 18

13.

Solve the following equation,
x + 7 = 28

a)

x = 35

b)

x = 4

c)

x = 196

d)

x = 21

14.

Solve the following equation,
3x + 6 = 21

a)

x = 9

b)

x = 5

c)

x = 15

d)

x = 27

15.

5(2x - 7) = 80

a)

x = 11.5

b)

x = 115

c)

x = 12

d)

x = 16

16.

Solve:
-4x = 24

a)

20

b)

-20

c)

6

d)

-6

17.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

18.

Solve:
7x + 19 = -2x + 55

a)

4

b)

14.8

c)

8.2

d)

-4

19.

Solve:
2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

20.

Solve for x.

a)

55

b)

60

c)

15

d)

35

21.

Which equation below would give you the answer no solution?

a)

3x + 3 = 3x + 3

b)

3x + 3 = 6x + 6

c)

3x + 3 = 3x + 2

d)

3x + 3 = 0

22.

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

a)

2

b)

-2/3

c)

10

d)

-2

23.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

24.

Solve the equation:
^x/₃+ 10 = 15

a)

75

b)

15

c)

25

d)

5

25.

a)

-49

b)

153/5

c)

49

d)

85

26.

Solve the following equation:

\frac{x+10}{2}=15

You only need to write the number.

(a)

27.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

28.

S = 3F - 24 Solve for F

a)

F = (S + 24)/3

b)

F = S/3 + 24

c)

F = 3S + 24

d)

F = 3(S + 24)

29.

Solve for t.
D= rt

a)

D/r = t

b)

Dr = t

c)

D/t = r

d)

Dt = r

30.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

31.

$3y\ =\ 2g\left(x+h\right)\ \ solve\ for\ x$

a)

$x\ =\ \frac{3y+h}{2g}$

b)

$x\ =\ \frac{3y-h}{2g}$

c)

$x\ =\ \frac{3y}{2g}+h$

d)

$x\ =\ \frac{3y}{2g}-h$

32.

a)

s = -Dn + C

b)

s = Dn - C

c)

s = Dn/C

33.

Solve the following equation for the indicated variable:

t=\frac{1}{4}v\ \ ,\ \ for\ v

a)

$v=4t$

b)

$v=t-4$

c)

$v=t+\frac{1}{4}$

d)

$v=\frac{t}{4}$

34.

4(4+4x)=96

a)

5

b)

1.5

c)

9

d)

10

35.

4=2r-10

a)

7

b)

15

c)

14

d)

9

36.

297=7(8x-6)+3

a)

13

b)

12

c)

6

d)

10

37.

-119=1-6(3n-4)

a)

11

b)

8

c)

14

d)

9

38.

7 (1 + 2n) = -105

a)

2

b)

7

c)

-8

d)

90909090909

39.

-87 = -3 (3r + 8)

a)

8

b)

7

c)

20

d)

5

40.

13= r/9 + 8

a)

45

b)

5

c)

17

d)

15

41.

k/4 + 3 = 14

a)

21

b)

44

c)

12

d)

32

42.

Seven less than 3 times a number is 18. What is the equation?

a)

3x-7 =18

b)

7+3/x=18

c)

7-3x=18

d)

x/3-7=18

43.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

44.

3 + (¹∕₄)a = 31

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

45.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

46.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

47.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

48.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

49.

Solve.
(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

50.

a)

15

b)

3

c)

-15

d)

-3

51.

Solve for y:
-5 - 7y = -20y + 34

a)

y = 3

b)

y = 1

c)

y = 0.67

d)

y = 46

52.

What operation would you perform first and then second when solving for m in the following equation?
10 + 7m = 17

a)

subtract 10, divide by 7

b)

divide by 7, subtract 10

c)

multiply by 7, add 10

d)

add 10, multiply by 7

53.

0 = 8z + 8

a)

-1

b)

1

c)

0

d)

8

54.

What is the first step to solve this equation:

- 3x -11 = 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.

55.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

56.

The solutions of the quadratic equation
x²-5x+6=0 are

a)

x=1 or x=-6

b)

x=3 or x=2

c)

x=-3 or x= 2

d)

x=-1 or x=6

57.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

58.

Solve the following quadratic...

x² + 5x + 6 = 0

a)

x = -2, -3

b)

x = 1, 6

c)

x = -1, -6

d)

x = 2, 3

59.

Solve the following quadratic...

x² + 7x + 12 = 0

a)

x = 3, 4

b)

x = 2, 6

c)

x = -3, -4

d)

x = -2, -6

60.

Solve the following quadratic...

x² + 12x + 20 = 0

a)

x = 5, 4

b)

x = 2, 10

c)

x = -5, -4

d)

x = -2, -10

61.

Solve the following quadratic...

x² + 11x + 24 = 0

a)

x = -3, -8

b)

x = 2, 12

c)

x = -4, -6

d)

x = -2, -12

62.

Solve the following quadratic...

x² + 11x + 30 = 0

a)

x = -5, 6

b)

x = -5, -6

c)

x = 5, -6

d)

x = 5, 6

63.

Solve the following quadratic...

x² + 8x + 15 = 0

a)

x = -3, 5

b)

x = 3, -5

c)

x = 3, 5

d)

x = -3, -5

64.

Solve the following quadratic...

x² + x - 20 = 0

a)

x = -4, 5

b)

x = 4, -5

c)

x = 4, 5

d)

x = -4, -5

65.

Solve the following quadratic...

x² + 5x - 24 = 0

a)

x = 3, 8

b)

x = -3, -8

c)

x = -3, 8

d)

x = 3, -8

66.

Solve the following quadratic...

x² - 7x - 30 = 0

a)

x = 3, 10

b)

x = -3, -10

c)

x = -3, 10

d)

x = 3, -10

67.

Solve the following quadratic...

x² - 7x + 12 = 0

a)

x = 3, 4

b)

x = -3, -4

c)

x = -2, -6

d)

x = 2, 6

68.

Solve the following quadratic...

x² - 9x + 8 = 0

a)

x = 1, 8

b)

x = -1, -8

c)

x = -2, -4

d)

x = 2, 4

69.

Solve the following quadratic...

x² - 16 = 0

a)

x = -2, 8

b)

x = 2, -8

c)

x = 4, -4

d)

x = -1, -16

70.

Solve the following Algebraic Equation: $x\left(x-5\right)=0$

a)

$x=1\ or\ x=5$

b)

$x=0\ or\ x=-5$

c)

$x=-1\ or\ x=-5$

d)

$x=0\ or\ x=5$

71.

When we solve the equation $x.y=0$ the value of $y$ is:

a)

0

b)

1

c)

2

d)

3

72.

When we solve the equation $x.y=0$ the value of $x$ is:

a)

0

b)

1

c)

2

d)

3

73.

What rule does the following equation represent? $x.y=0$

a)

One factor rule

b)

Expression rule

c)

Zero factor rule

d)

Two factor rule

74.

Solve the following Algebraic Equation: $\left(x-7\right)\left(x+6\right)=0$

a)

$x=-7\ or\ x=-6$

b)

$x=7\ or\ x=-6$

c)

$x=-7\ or\ x=6$

d)

$x=6\ or\ x=7$

75.

Which type of factorisation do I use to factorise the following: $x^2-4x$

a)

Common factor

b)

Difference of two squares

c)

Quadratic trinomial factorisation

d)

None of the above

76.

Which type of factorisation do I use to factorise the following: $x^2-4$

a)

Common factor

b)

Difference of two squares

c)

Quadratic trinomial factorisation

d)

None of the above

77.

Which type of factorisation do I use to factorise the following: $x^2-2x-8$

a)

Common factor

b)

Difference of two squares

c)

Quadratic trinomial factorisation

d)

None of the above

78.

What are the solutions to this equation?
(x-3)(x+2)=0

a)

x=3,-2

b)

x=-3,2

c)

x=2,3

d)

x=3,2

79.

Solve the equation using the zero product property.
3x ( 2x - 4) = 0

a)

x = -1/3 or x = -2

b)

x = 0 or x = 2

c)

x = 0 or x = -2

d)

x = -1/3 or x = 2

80.

Solve the equation (7x+2)(5x-4)=0

a)

x=2 or -4

b)

x=2/7 or 4/5

c)

x=-2/7 , or 4/5

d)

x=-2, or 4

81.

What are the solutions to this equation?
(3x-2)(5x+1)=0

a)

x=5/2,-1/3

b)

x=1/5,-2/3

c)

x=1/3,-5/2

d)

x=2/3,-1/5

82.

Solve the equation by factorising.
x² + 13x + 40 = 0

a)

-8, 5

b)

-40, -1

c)

5, 8

d)

-8, -5

83.

a)

x = -6 or -2

b)

x = -2 or 6

c)

x = 2 or 6

d)

x = -6 or 2

84.

a)

-3, 4

b)

3, 4

c)

-4, -3

d)

-3

85.

Solve 7x² - 28x = 0

a)

x = 4, x = 7

b)

x = 0, x = 4

c)

x = 0, x = -4

d)

x = -4, x = -7

86.

a)

±81

b)

±9

c)

±3

d)

No real solution

87.

a)

±√9

b)

±3

c)

±1

d)

No real solution

88.

Solve 2x² - 32 = 0

a)

-16 or 16

b)

-4 or 4

c)

No Solution

d)

-8 or 8

89.

Solve the equation:
4x²+2x - 6 = 0

a)

x = 1 & -1.5

b)

x = -1 & 1.5

c)

x = (-2 ±√92)/8

d)

x = (-2 ± √100)/8

90.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Find two numbers which add to make 6 and multiply to make -13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

91.

Solve.
2x² + 7x = 15

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

92.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

93.

Solve the following quadratic equation...

x² + 3x + 2 = 0

a)

x = -1

x = -2

b)

x = 1

x = 2

c)

x = -1

x = 2

d)

x = 1

x = -2

94.

Solve the following quadratic equation...

x² + 7x + 12 = 0

a)

x = -2

x = -6

b)

x = -3

x = -4

c)

x = -1

x = -12

d)

x = 2

x = 6

95.

Solve the following quadratic equation...

x² + 9x + 20 = 0

a)

x = -2

x = -10

b)

x = -5

x = -4

c)

x = -1

x = -20

d)

x = 4

x = 5

96.

Solve the following quadratic equation...

x² + 13x + 36= 0

a)

x = -2

x = -18

b)

x = -9

x = -4

c)

x = -3

x = -12

d)

x = -6

97.

Solve the following quadratic equation...

x² + 4x - 32 = 0

a)

x = 8

x = -4

b)

x = -8

x = 4

c)

x = -2

x = 16

d)

x = 2

x = -16

98.

Solve the following quadratic equation...

x² + 2x - 24 = 0

a)

x = 6

x = -4

b)

x = -6

x = 4

c)

x = -8

x = 3

d)

x = 8

x = -3

99.

Solve the following quadratic equation...

x² - 2x - 15 = 0

a)

x = 5

x = -3

b)

x = -5

x = 3

c)

x = -15

x = 1

d)

x = 15

x = -1

100.

Solve the following quadratic equation...

x² - 7x - 30 = 0

a)

x = 10

x = -3

b)

x = -10

x = 3

c)

x = -5

x = 6

d)

x = 5

x = -6

101.

Solve the following quadratic equation...

x² - 13x + 30 = 0

a)

x = 10

x = 3

b)

x = -10

x = -3

c)

x = 5

x = 6

d)

x = -5

x = -6

102.

Solve the following quadratic equation...

x² - 14x + 24 = 0

a)

x = 12

x = 2

b)

x = 4

x = 6

c)

x = 3

x = 8

d)

x = 1

x = 24

103.

Solve the following quadratic equation...

x² - 14x + 24 = 0

a)

x = 12

x = 2

b)

x = 4

x = 6

c)

x = 3

x = 8

d)

x = 1

x = 24

104.

$5x^2+50=50$

a)

x = 10

x = -10

b)

x = 10

c)

x = 0

d)

x = 0

x = 10

105.

0= (x + 3)² - 25?

a)

x = 3

x = -25

b)

x = 6

x = -16

c)

x = 8

x = -2

d)

x = -8

x = 2

106.

The solutions of the quadratic equation
x²+2x-15=0 are

a)

x = 3 or x = 5

b)

x = 5 or x = -3

c)

x = -5 or x = 3

d)

x = -3 or x = -5

107.

The solutions of the quadratic equation
x²+12x+35=0 are

a)

x = -5 or x = -7

b)

x = 5 or x = 7

c)

x = -35 or x = -1

d)

x = -9 or x = -4

108.

Factor x²+ 6x + 9 and solve for x.

a)

(x+3)(x+3); x = -3

b)

(x+4)(x+5); x=-4, -5

c)

(x-3)(x-3); x=3

d)

Not factorable

109.

What are the solutions to this equation? (x-3)(x+2)=0

a)

x=3,-2

b)

x=-3,2

c)

x=2,3

d)

x=3,2

110.

The solutions of the quadratic equation
x²4x+4=0 are

a)

x = 2

b)

x = -2

c)

x = -4 or x = 1

d)

x = -4 or x = -1

111.

Solve

x² + 2x - 20 = 4

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

112.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Find two numbers which add to make 6 and multiply to make -13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

113.

Solve by factoring:

n² - 2n = 0

a)

n = 2 and 0

b)

n = -2 and 0

c)

n = 2

d)

n = 0

114.

Solve by factoring

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

115.

Solve by factoring

a)

-2, 4

b)

-8

c)

±8

d)

No real solution

116.

Solve: x²- 81 = 0

a)

9

b)

9, -9

c)

3, -3, 9, -9

d)

None of the above

117.

Solve the equation using the zero product property.

3x(2x - 4) = 0

a)

x = -1/3 or x = -2

b)

x = 0 or x = 2

c)

x = 0 or x = -2

d)

x = -1/3 or x = 2

118.

Solve by Factoring

x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

119.

The solutions of the quadratic equation
x²- x = 12 are

a)

x = 4 or x = -3

b)

x = -3 or x = -4

c)

x = 6 or x = 2

d)

x = 4 or x = 3

120.

What type of equations always include an x²?

a)

Quadratic

b)

Linear

c)

Exponential

d)

Quartic

121.

Find the zeros of this quadratic.

a)

b=-2, b=-4

b)

b=-2, b=4

c)

b=1/2, b=-2

d)

b=2, b=-4

122.

Find the zeros of this quadratic.

a)

b=4/5, b=3

b)

b=4, b=-3

c)

b=1/5, b=3

d)

b=4/5, b=-3

123.

Solve
x² + 13x + 12 = 0

a)

x = -1, x = -12

b)

x = -1, x = -24

c)

x = -2, x = -6

d)

x = -2, x = -12

124.

Convert x²- 9x + 20 to factored form and solve.

a)

(x-10)(x+2); x = -2, 10

b)

(x+4)(x+5); x = -5, -4

c)

(x-4)(x-5); x = 4, 5

d)

Not factorable

125.

Solve by factoring: x² - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

126.

Solve by factoring: x² + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

127.

What property would you use to solve the following?
(x-3)(x+2)=0

a)

Commutative Property

b)

Associative Property

c)

Zero Product Property

d)

Inverse Property

128.

Solve

x² + 2x - 20 = 4

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

129.

Solve using Zero-Product Property.

(2x - 2)(5x + 5) = 0

a)

x = -1

b)

x = -1 or x = 1

c)

x = 1

d)

x = -2 or x = 5

130.

Solve by factoring

x²+12x+35=0

a)

x = -5 or x = -7

b)

x = 5 or x = 7

c)

x = -35 or x = -1

d)

x = -9 or x = -4

131.

Solve by factoring:

n² - 2n = 0

a)

n = 2 and 0

b)

n = -2 and 0

c)

n = 2

d)

n = 0

132.

Solve by factoring

a)

-2, 4

b)

-8

c)

±8

d)

No real solution

133.

Solve by factoring

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

134.

The solutions of the quadratic equation
x²+5x+6=0 are

a)

x= -3 or x = -2

b)

x = -6 or x = 1

c)

x = 3 or x = 2

d)

x = -3 or x = 2

135.

Solve:
x² - 49 = 0

a)

x = -7, x = 7

b)

x = -7

c)

x = 7

d)

x = -7, x = 1

136.

Convert x²-9x+20 to factored form and solve.

a)

(x-10)(x+2); x=-2, 10

b)

(x+4)(x+5); x=-5, -4

c)

(x-4)(x-5); x=4, 5

d)

Not factorable

137.

Solve 2x² - 7x + 6 = 0 by factoring

a)

x = -3/2 and x = -2

b)

x = -3 and x = -2

c)

x = 3 and x = 2

d)

x = 3/2 and x = 2

138.

Factor 6x²-27x

a)

(6x+1)(x+3)

b)

3x(2x-9)

c)

6x(x-9)

d)

(3x-9)(2x+3)

139.

Solve the equation using the zero product property.

3x(2x - 4) = 0

a)

x = -1/3 or x = -2

b)

x = 0 or x = 2

c)

x = 0 or x = -2

d)

x = -1/3 or x = 2

140.

Which of the following is a difference of perfect squares?

a)

x² - 18

b)

4x² + 36

c)

9x² - 100

d)

x² + 4

141.

Factor Completely: 3n² - 15n + 18

a)

(n - 2)(n - 3)

b)

3(n + 2)(n + 3)

c)

(3n - 9)(n - 2)

d)

3(n - 3)(n - 2)

142.

Solve the following quadratic equation by factoring. x²- 9x + 20 = 0

a)

x = -2 or x = 10

b)

x = -5 or x = -4

c)

x = 4 or x = 5

d)

Not factorable

143.

Solve the following quadratic equation by factoring.

x²+ 2x - 15 = 0

a)

x = 3 or x = 5

b)

x = 5 or x = -3

c)

x = -5 or x = 3

d)

x = -3 or x = -5

144.

Solve the following quadratic equation by factoring.

x²+ 12x + 35 = 0

a)

x = -5 or x = -7

b)

x = 5 or x = 7

c)

x = -35 or x = -1

d)

x = -9 or x = -4

145.

What are the solutions to this equation? (x-3)(x+2) = 0

a)

x = 3 or x = -2

b)

x = -3 or x = 2

c)

x = 2 or x = 3

d)

x = 3 or x = 2

146.

Solve the following quadratic equation by factoring.

a)

x = -6 or x = -2

b)

x = -2 or x = 6

c)

x = 2 or x = 6

d)

x = -6 or x = 2

147.

Solve

(n +7)(n + 9) = 0

a)

n = -7 or n = 4

b)

n = 7 or n = -9

c)

n = -3 or n = 10

d)

n = -7 or n = -9

148.

Solve the following quadratic equation: $x^2-6x-7=0$

a)

$x=7\ \ \ \&\ \ \ x=-1$

b)

$x=1\ \ \ \&\ \ \ x=-7$

c)

$x=0$

d)

$x=\frac{-7}{5}$

149.

Solve the following quadratic equation by factoring. $2x^2-5x+2=0$

a)

$x=\frac{-1}{2}$ & $x=-2$

b)

$x=-1$ & $x=-4$

c)

$x=4$ & $x=1$

d)

$x=\frac{1}{2}\ \&\ x=2$

150.

What is the first step in solving this quadratic equation? $x^2+5x=6$

a)

Factor

b)

Subtract 6 from both sides to set the equation equal to 0

c)

Set each factor equal to 0

d)

Combine like terms

151.

Solve the following quadratic equation:
$x^2+5x=6$

a)

$x=2\ \ \ \&\ \ \ x=3$

b)

$x\ =-1\ \ \ \&\ \ \ x=6$

c)

$x=1\ \ \ \&\ \ \ x=-6$

d)

$x=-2\ \ \ \&\ \ \ x=-3$

152.

Solve the following quadratic equation: $x^2-13x-30=0$

a)

$x=3\ \ \ \&\ \ \ x=10$

b)

$x=-3\ \ \ \&\ \ \ x=-10$

c)

$x=-2\ \ \ \&\ \ \ x=15$

d)

$x=2\ \ \ \&\ \ \ x=-15$

153.

Solve by factoring:
$x^2-10x+16=0$

a)

$x=-2\ or\ x=-8$

b)

$x=\pm\sqrt{6}$

c)

$x=2\ or\ x=8$

d)

No real solutions

Equations gr9-gr10

Total questions: 153

Worksheet time: 5hrs 6mins

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