Free Printable Changing the subject

1.

Make x the subject of the formula.

y=x+6

a)

x=y+6

b)

x=y-6

c)

$x=\frac{y}{6}$

d)

x=6y

2.

Make x the subject of the formula.

7x=y

a)

$x=\frac{y}{7}$

b)

x=7y

c)

x=7+y

d)

x=7-y

3.

Make x the subject of the formula.

y=2x+8

a)

x=2y-8

b)

$x=\frac{y-8}{2}$

c)

x=8-y

d)

x=y-8

4.

Make x the subject of the formula.

y=\frac{x}{3}

a)

x=3y

b)

x=y+3

c)

x=3/y

d)

x=y-3

5.

$\frac{m+7}{2}=y$

Make m the subject of the formula.

a)

m=y-14

b)

m=7+2y

c)

m=2y+7

d)

m=2y-7

6.

Make z the subject of the formula.

$5=\frac{z}{a}$

a)

z=5+a

b)

z=5a

c)

z=a-5

d)

z=5-a

7.

Make p the subject of the formula.

x=6p+2

a)

p=6x-2

b)

$p=\frac{x-2}{6}$

c)

p=2x-6

d)

$p=\frac{x-6}{2}$

8.

Make x the subject of the formula.

v=x+10t

a)

x=v+10t

b)

x=v-10t

c)

x=10t-v

d)

x=10tv

9.

Make y the subject of the formula.

x=3y-z

a)

y=3x-z

b)

$y=\frac{x+z}{3}$

c)

$y=\frac{z-x}{3}$

d)

y=3z+x

10.

Make m the subject of the formula.

36m=x^2

a)

$m=\frac{x^2}{36}$

b)

$m=x^2-36$

c)

$m=36-x^2$

d)

$m=\frac{36}{x^2}$

11.

Make w the subject of the formula

$y=3w-a$

a)

$w=\frac{y}{3}+a$

b)

$w=y+\frac{a}{3}$

c)

$w=\frac{y+a}{3}$

d)

$w=\frac{y-a}{3}$

12.

Make w the subject of the formula

$s=\frac{w}{a}$

a)

$w=\frac{s}{a}$

b)

$w=sa$

c)

$w=\frac{a}{s}$

d)

$w=s+a$

13.

$v=u+10t$ Make u the subject of the formula

a)

$u=v-10t$

b)

$u=v+10t$

c)

$u=\frac{v}{10t}$

d)

$u=\frac{v}{-10t}$

14.

$s=\frac{hm}{4}$ Make m the subject of the formula

a)

$m=\frac{4s}{h}$

b)

$m=\frac{sh}{4}$

c)

$m=\frac{h}{4s}$

d)

$m=\frac{s}{4h}$

15.

$c=\sqrt{d}+2$ Make d the subject of the formula

a)

$d=\left(c-2\right)^2$

b)

$d=\left(c+2\right)^2$

c)

$d=c^2-2$

d)

$d=c^2+2$

16.

Make b the subject of the formula

$a^2+b^2=c^2$

a)

$b=\sqrt{c^2-a^2}$

b)

$b=\sqrt{a^2-c^2}$

c)

$b=\sqrt{c^2+a^2}$

d)

$b=\sqrt{a^2+c^2}$

17.

Make x the subject of the formula.

y=x+6

a)

x=y+6

b)

x=y-6

c)

$x=\frac{y}{6}$

d)

x=6y

18.

Make x the subject of the formula.

7x=y

a)

$x=\frac{y}{7}$

b)

x=7y

c)

x=7+y

d)

x=7-y

19.

Make x the subject of the formula.

y=2x+8

a)

x=2y-8

b)

$x=\frac{y-8}{2}$

c)

x=8-y

d)

x=y-8

20.

Make x the subject of the formula.

y=\frac{x}{3}

a)

x=3y

b)

x=y+3

c)

x=3/y

d)

x=y-3

21.

$\frac{m+7}{2}=y$

Make m the subject of the formula.

a)

m=y-14

b)

m=7+2y

c)

m=2y+7

d)

m=2y-7

22.

Make z the subject of the formula.

$5=\frac{z}{a}$

a)

z=5+a

b)

z=5a

c)

z=a-5

d)

z=5-a

23.

Make p the subject of the formula.

x=6p+2

a)

p=6x-2

b)

$p=\frac{x-2}{6}$

c)

p=2x-6

d)

$p=\frac{x-6}{2}$

24.

Make x the subject of the formula.

v=x+10t

a)

x=v+10t

b)

x=v-10t

c)

x=10t-v

d)

x=10tv

25.

Make m the subject of the formula.

36m=x^2

a)

$m=\frac{x^2}{36}$

b)

$m=x^2-36$

c)

$m=36-x^2$

d)

$m=\frac{36}{x^2}$

26.

Make y the subject of the formula.

x=3y-z

a)

y=3x-z

b)

$y=\frac{x+z}{3}$

c)

$y=\frac{z-x}{3}$

d)

y=3z+x

27.

$c=\sqrt{d}+2$ Make d the subject of the formula

a)

$d=\left(c-2\right)^2$

b)

$d=\left(c+2\right)^2$

c)

$d=c^2-2$

d)

$d=c^2+2$

28.

Express v in terms of t

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

a)

$v=4\left(t-1\right)$

b)

$v=4\left(t+1\right)$

c)

$v=4t-1$

d)

$v=4t+1$

29.

$s=\frac{hm}{4}$ Make m the subject of the formula

a)

$m=\frac{4s}{h}$

b)

$m=\frac{sh}{4}$

c)

$m=\frac{h}{4s}$

d)

$m=\frac{s}{4h}$

30.

$P=6x+2$ Express x in terms of P.

a)

$x=p-\frac{1}{3}$

b)

$x=\frac{p}{6}-\frac{1}{3}$

c)

$x=\frac{p}{6}+\frac{1}{3}$

d)

$x=\frac{p}{6}-2$

31.

Find a formula for the perimeter of the rectangle.

a)

$3x+1$

b)

$6x+2$

c)

$2x^2+1$

d)

$2x^2+x$

32.

Make w the subject of the formula

$s=\frac{w}{a}$

a)

$w=\frac{s}{a}$

b)

$w=sa$

c)

$w=\frac{a}{s}$

d)

$w=s+a$

33.

Make w the subject of the formula

$y=3w-a$

a)

$w=\frac{y}{3}+a$

b)

$w=y+\frac{a}{3}$

c)

$w=\frac{y+a}{3}$

d)

$w=\frac{y-a}{3}$

34.

Make b the subject of the formula $A=\frac{1}{2}\left(a+b\right)h$ .

a)

$b=\frac{h}{2A}-a$

b)

$b=\frac{2A}{h}+a$

c)

$b=\frac{2A}{h}-a$

d)

$b=\frac{h}{2A}+a$

35.

Make p the subject of the formula $d=\frac{p}{1+p}$ .

a)

$p=\frac{d}{1+d}$

b)

$p=\frac{d}{1-d}$

c)

$p=\frac{1+d}{d}$

d)

$p=\frac{1-d}{d}$

36.

Make R the subject of the formula $I=\frac{PRT}{100}$ .

a)

$R=\frac{100}{IPT}$

b)

$R=\frac{100I}{PT}$

c)

$R=\frac{IPT}{100}$

d)

$R=\frac{PT}{100I}$

37.

Make s the subject of the formula $v^2=u^2+2fs$ .

a)

$s=\frac{v^2+u^2}{2f}$

b)

$s=\frac{v^2-u^2}{2f}$

c)

$s=\frac{v^2}{u^2-2f}$

d)

$s=\frac{u^2}{v_{ }^2+2f}$

38.

Make s the subject of the formula $t=\frac{-u+\sqrt{u^2+2gs}}{g}$ .

a)

$s=\frac{t\left(gt+2u\right)}{-2}$

b)

$s=\frac{t\left(g+2u\right)}{2t}$

c)

$s=\frac{t\left(gt+2u\right)}{2}$

d)

$s=\frac{t\left(gt+2\right)}{2u}$

39.

Make l the subject of the formula $t=2\pi\sqrt{\frac{l}{g}}$ .

a)

$l=\frac{Tg}{4\pi^2}$

b)

$l=\frac{T^2g}{4^2\pi}$

c)

$l=\frac{T^2g}{4\pi^2}$

d)

$l=\frac{T^2g}{4\pi}$

40.

Make x the subject of the formula:

a)

$x\ =\ ay-3$

b)

$x\ =\ a\left(y-3\right)$

c)

$x\ =\ 3y-a$

41.

Make w the subject of the formula

$y=3w-a$

a)

$w=\frac{y}{3}+a$

b)

$w=y+\frac{a}{3}$

c)

$w=\frac{y+a}{3}$

d)

$w=\frac{y-a}{3}$

42.

Make w the subject of the formula

$s=\frac{w}{a}$

a)

$w=\frac{s}{a}$

b)

$w=sa$

c)

$w=\frac{a}{s}$

d)

$w=s+a$

43.

$v=u+10t$ Make u the subject of the formula

a)

$u=v-10t$

b)

$u=v+10t$

c)

$u=\frac{v}{10t}$

d)

$u=\frac{v}{-10t}$

44.

$s=\frac{hm}{4}$ Make m the subject of the formula

a)

$m=\frac{4s}{h}$

b)

$m=\frac{sh}{4}$

c)

$m=\frac{h}{4s}$

d)

$m=\frac{s}{4h}$

45.

$c=\sqrt{d}+2$ Make d the subject of the formula

a)

$d=\left(c-2\right)^2$

b)

$d=\left(c+2\right)^2$

c)

$d=c^2-2$

d)

$d=c^2+2$

46.

Make b the subject of the formula

$a^2+b^2=c^2$

a)

$b=\sqrt{c^2-a^2}$

b)

$b=\sqrt{a^2-c^2}$

c)

$b=\sqrt{c^2+a^2}$

d)

$b=\sqrt{a^2+c^2}$

47.

Make x the subject of the formula.

y=x+6

a)

x=y+6

b)

x=y-6

c)

$x=\frac{y}{6}$

d)

x=6y

48.

Make x the subject of the formula.

7x=y

a)

$x=\frac{y}{7}$

b)

x=7y

c)

x=7+y

d)

x=7-y

49.

Make x the subject of the formula.

y=2x+8

a)

x=2y-8

b)

$x=\frac{y-8}{2}$

c)

x=8-y

d)

x=y-8

50.

Make x the subject of the formula.

y=\frac{x}{3}

a)

x=3y

b)

x=y+3

c)

x=3/y

d)

x=y-3

51.

$\frac{m+7}{2}=y$

Make m the subject of the formula.

a)

m=y-14

b)

m=7+2y

c)

m=2y+7

d)

m=2y-7

52.

Make z the subject of the formula.

$5=\frac{z}{a}$

a)

z=5+a

b)

z=5a

c)

z=a-5

d)

z=5-a

53.

Make p the subject of the formula.

x=6p+2

a)

p=6x-2

b)

$p=\frac{x-2}{6}$

c)

p=2x-6

d)

$p=\frac{x-6}{2}$

54.

Make y the subject of the formula.

x=3y-z

a)

y=3x-z

b)

$y=\frac{x+z}{3}$

c)

$y=\frac{z-x}{3}$

d)

y=3z+x

55.

Make x the subject of the formula:

a)

x = y - a

b)

x = a - y

c)

x = y + a

d)

x = ay

56.

Make x the subject of the formula:

a)

x = y - a

b)

$x\ =\ \frac{y}{a}$

c)

x = y + a

d)

x = ay

57.

Make x the subject of the formula:

a)

$x\ =\ \frac{y}{a}-3$

b)

$x\ =\ \frac{y-3}{a}$

c)

$x\ =\ \frac{a-3}{y}$

d)

$x\ =\ \frac{y}{a}-3$

58.

Make x the subject of the formula:

a)

$x\ =\ \sqrt{y-a}$

b)

$x\ =\ \sqrt{y}-a$

c)

$x\ =\ \sqrt{y+a}$

d)

$x\ =\ \sqrt{y}+a$

59.

Make x the subject of the formula:

a)

$x\ =\ \sqrt{y}$

b)

$x\ =\ y^2$

60.

Make x the subject of the formula:

a)

$x\ =\ ay-3$

b)

$x\ =\ a\left(y-3\right)$

c)

$x\ =\ 3y-a$

61.

a)

b)

c)

d)

62.

a)

b)

c)

d)

63.

a)

b)

c)

d)

64.

a)

b)

c)

d)

65.

a)

b)

c)

d)

66.

Make $b$ the subject of the formula $a=\frac{b-3}{2}$

a)

$b=2a-3$

b)

$b=2\left(a-3\right)$

c)

$b=2a+3$

d)

$b=2\left(a+3\right)$

67.

Make $b$ the subject of the formula $ab=4-b$

a)

$b=\frac{2}{a}$

b)

$b=\frac{4}{a-1}$

c)

$b=4-a$

d)

$b=\frac{4}{a+1}$

68.

Make $b$ the subject of the formula $ab=4\left(1-b\right)$

a)

$b=\frac{2}{a}$

b)

$b=\frac{4}{a+4}$

c)

$b=1+\frac{4}{a}$

d)

$b=\frac{a+4}{4}$

69.

Make $b$ the subject of the formula $\frac{4\left(a+b\right)-1}{b}=3$

a)

$b=1-4a$

b)

$b=4a-1$

c)

$b=\frac{4a}{3}$

d)

$b=7-4a$

70.

If $\frac{1-x}{y}=\frac{1+x}{2}$ , then x =

a)

$\frac{2-y}{2}$

b)

$\frac{y-2}{y+2}$

c)

$\frac{2+y}{2-y}$

d)

$\frac{2-y}{2+y}$

71.

Make $y$ the subject of the formula $\frac{1}{y}+\frac{2}{x}=3$

a)

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

b)

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

c)

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

d)

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

72.

Make y the subject of the formula $x\left(2-3y\right)=y\left(2+x\right)$

a)

$y=\frac{1}{1+x}$

b)

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

c)

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

d)

$y=\frac{x}{1+x}$

73.

Make a the subject of the formula $\frac{3b-6a+7}{a}=2$

a)

$a=\frac{3b+7}{8}$

b)

$a=-\frac{3b+7}{4}$

c)

$a=\frac{3b+7}{4}$

d)

$a=-\frac{3b+7}{8}$

74.

Make $y$ the subject of $\frac{x+3}{2}=\frac{y-2}{3}$

a)

$y=\frac{x+13}{2}$

b)

$y=\frac{3x+7}{2}$

c)

$y=\frac{3x+13}{2}$

d)

$y=\frac{3x+5}{2}$

75.

Make b the subject of formula $c=\frac{2a-b}{b}$ .

a)

$b=\frac{2a-1}{c}$

b)

$b=\frac{c+1}{2a}$

c)

$b=\frac{a}{c}$

d)

$b=\frac{2a}{c+1}$

76.

a)

w = 3(y + a)

b)

w = (y + a) ÷ 3

c)

w = y + a ÷ 3

77.

a)

w = sa

b)

w = s/a

c)

w = a/s

78.

a)

43

b)

34

c)

17

79.

a)

u = v + 10t

b)

u = v ÷ 10t

c)

u = v – 10t

80.

a)

t = (v – u) ÷ 10

b)

t = (u – v) ÷ 10

c)

t = v – u ÷ 10

81.

a)

P = 3x + 1

b)

P = 6x + 2

c)

P = x(2x + 1)

82.

a)

x = (P/2) ÷ 6

b)

x = (P + 2) ÷ 6

c)

x = (P – 2) ÷ 6

83.

a)

m = (4s) ÷ h

b)

m = s/(h x 4)

c)

m = (s/4) ÷ h

84.

a)

v = 4(t – 4)

b)

v = 4t – 4

c)

v = t/4 – 1

85.

a)

g = $\sqrt[]{a}$

b)

g = $a^2$

c)

g = 2a

86.

a)

y = k – a

b)

y = k² – a²

c)

y = $\sqrt[]{k\ -\ a}$

87.

a)

b = $a^2$ - $b^2$

b)

b = a - c

c)

88.

A letter or symbol that represents an unknown value is called ______________.

a)

Variable

b)

Radicand

c)

Coefficient

d)

Constant

89.

To solve an equation, the goal is to __________ the variable on one side.

a)

Evaluate

b)

Leviate

c)

Isolate

d)

Reciprocate

90.

A value that when substituted for the variable will make an equation true is a ____________.

a)

Term

b)

Constant

c)

Evaluation

d)

Solution

91.

What are inverse operations?

a)

Absolute values

b)

Opposite operations used in isolating a variable

c)

Operations used for only inequalities

d)

Unknown quantity represented by a letter or symbol

92.

Solve for b when

A =1/2bh.

a)

b=2A/h

b)

b=2/(h)

c)

b=2Ah

d)

b=Ah/2

93.

Solve for a
when P = w/a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

94.

ax+r=7
solve for r

a)

r=7/ax

b)

r=7-ax

c)

r=7+ax

d)

r=7ax

95.

Solve for r
d = rt

a)

r = d/t

b)

r = t/d

c)

r = td

d)

Not Possible

96.

Solve the equation.
17 = 2 ( 2x + 9 )

a)

2

b)

4

c)

6

d)

8

97.

Solve the equation.
10x - 3x = 20 + 1

a)

13

b)

4

c)

-2

d)

3

98.

Solve the equation.
2x + 3x = 5

a)

4

b)

-3

c)

1

d)

5x

99.

Solve the equation:
5x + 5 = 6x

a)

5

b)

-2

c)

4

d)

8

100.

Solve the equation:
- ( 18 + x ) = 2 ( 11 - 6x ) + x

a)

3

b)

4

c)

-2

d)

1

101.

2x + 1 = 9

a)

2

b)

3

c)

4

d)

5

102.

x - 3 = 8

a)

5

b)

8

c)

11

d)

14

103.

3x - 12 = 24

a)

36

b)

20

c)

26

d)

12

104.

(x ÷ 3) + 1 = 12

a)

33

b)

48

c)

9

d)

25

105.

the product of a number and 7 is 42.

a)

7 + n = 42

b)

7/n = 42

c)

42 - 7 = n

d)

7n = 42

106.

x - 32 = 49

a)

x = 17

b)

x = 71

c)

x = 81

d)

x = 49

107.

y - 33 = 147

a)

y = 114

b)

y = 177

c)

y = 180

d)

Answer not Given

108.

y/3=12

a)

36

b)

-36

c)

4

d)

-4

109.

Which equation has w = 8 as the solution?

a)

8w= 64

b)

16w = 240

c)

16 - w = 9

d)

4 + w = 10

110.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

111.

A letter or symbol that represents an unknown value is called ______________.

a)

Variable

b)

Radicand

c)

Coefficient

d)

Constant

112.

To solve an equation, the goal is to __________ the variable on one side.

a)

Evaluate

b)

Leviate

c)

Isolate

d)

Reciprocate

113.

A value that when substituted for the variable will make an equation true is a ____________.

a)

Term

b)

Constant

c)

Evaluation

d)

Solution

114.

What are inverse operations?

a)

Absolute values

b)

Opposite operations used in isolating a variable

c)

Operations used for only inequalities

d)

Unknown quantity represented by a letter or symbol

115.

Solve for b when

A =1/2bh.

a)

b=2A/h

b)

b=2/(h)

c)

b=2Ah

d)

b=Ah/2

116.

Solve for a
when P = w/a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

117.

ax+r=7
solve for r

a)

r=7/ax

b)

r=7-ax

c)

r=7+ax

d)

r=7ax

118.

Solve for r
d = rt

a)

r = d/t

b)

r = t/d

c)

r = td

d)

Not Possible

119.

Solve the equation.
17 = 2 ( 2x + 9 )

a)

2

b)

4

c)

6

d)

8

120.

Solve the equation.
10x - 3x = 20 + 1

a)

13

b)

4

c)

-2

d)

3

121.

Solve the equation.
2x + 3x = 5

a)

4

b)

-3

c)

1

d)

5x

122.

Solve the equation:
5x + 5 = 6x

a)

5

b)

-2

c)

4

d)

8

123.

Solve the equation:
- ( 18 + x ) = 2 ( 11 - 6x ) + x

a)

3

b)

4

c)

-2

d)

1

124.

2x + 1 = 9

a)

2

b)

3

c)

4

d)

5

125.

x - 3 = 8

a)

5

b)

8

c)

11

d)

14

126.

3x - 12 = 24

a)

36

b)

20

c)

26

d)

12

127.

(x ÷ 3) + 1 = 12

a)

33

b)

48

c)

9

d)

25

128.

the product of a number and 7 is 42.

a)

7 + n = 42

b)

7/n = 42

c)

42 - 7 = n

d)

7n = 42

129.

x - 32 = 49

a)

x = 17

b)

x = 71

c)

x = 81

d)

x = 49

130.

y - 33 = 147

a)

y = 114

b)

y = 177

c)

y = 180

d)

Answer not Given

131.

y/3=12

a)

36

b)

-36

c)

4

d)

-4

132.

Which equation has w = 8 as the solution?

a)

8w= 64

b)

16w = 240

c)

16 - w = 9

d)

4 + w = 10

133.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

134.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

135.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

136.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

137.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

138.

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

a)

4

b)

3

c)

2

d)

1

139.

Solve the equation:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

140.

2x + 3(5x - 7) = 47

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

141.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

142.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

143.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

144.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

145.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

146.

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.

147.

What is the first step to complete when solving this equation?

10 - 3y = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

148.

What is the first step in solving a multi-step equation?

a)

Distribution (If necessary)

b)

Combine Like Terms

c)

Move the variable

d)

Move the constant

149.

What is the second step in solving multi-step equations?

a)

Distribution (if necessary)

b)

Combine Like terms

c)

Move Variable

d)

Solve! With SADMEP

150.

What is the third step in solving multi-step equations?

a)

Distribution (If necessary)

b)

Combine Like Terms

c)

Move Variable

d)

Solve! With SADMEP

151.

Solve

-19 = -8 (-4+a) - (2a+1)

a)

-1

b)

14

c)

-5

d)

5

152.

Solve

-124 = 4 (1+ 8k)

a)

-11

b)

10

c)

-4

d)

-2

153.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

154.

Solve the equation: 3x + 5 = 2x - 3

a)

x = 0

b)

x = -8

c)

x = 10

d)

x = -5

155.

Use the distributive property to solve the equation: 2(3x - 4) = 5x + 6

a)

6x - 8 = 5x + 6

b)

6x - 8 = 5x - 12

c)

6x - 8 = 5x + 2

d)

6x - 8 = 5x - 6

156.

Isolate the variable in the equation: 4x - 7 = 2x + 9

a)

x = -3

b)

x = 6

c)

x = 15

d)

x = 8

157.

Solve the equation: 2(x + 3) = 4x - 6

a)

x = 9

b)

x = -2

c)

x = 5

d)

x = 12

158.

Use the distributive property to solve the equation: 3(2x - 5) = 4x + 7

a)

6x - 5 = 4x + 7

b)

6x - 15 = 4x - 7

c)

3x - 15 = 4x + 7

d)

6x - 15 = 4x + 7

159.

Isolate the variable in the equation: 5x - 8 = 3x + 12

a)

x = 5

b)

x = -4

c)

x = 20

d)

x = 10

160.

Solve the equation: 4(x - 2) = 3x + 5

a)

x = -14

b)

x = 10

c)

x = 2

d)

x = -5

161.

Use the distributive property to solve the equation: 2(4x - 3) = 6x + 9

a)

8x - 6 = 3x + 9

b)

10x - 3 = 6x + 9

c)

8x - 6 = 6x + 9

d)

2(4x - 3) = 6x + 9

162.

Isolate the variable in the equation: 6x - 9 = 4x + 15

a)

x = -3

b)

x = 6

c)

x = 12

d)

x = 9

163.

Solve the equation: 3(x + 4) = 5x - 7

a)

x = 7

b)

x = 11

c)

x = -3

d)

x = 15

164.

$Solve:\ \ 3f+7=5f-13$

(a)

165.

$Solve:\ \ 3\left(4-6w\right)+9=-15w+30$

(a)

166.

What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x

a)

Add 4x to both sides of the equation

b)

Combine like terms 3x and 4x on the same side of the equation

c)

Add 3x and 6 to get 9x

d)

Add 6 and 10 to get 16

167.

What is the next step to solve this equation?
n - 4 = -2

a)

Add 4 to both sides of the equation

b)

Add n to both sides of the equation

c)

Subtract n from both sides of the equation

d)

Subtract 4 from both sides of the equation

168.

What is the FIRST step in isolating c in this equation?

$a=\frac{m-c}{x}$

a)

subtract m from both sides

b)

multiply both sides by x

c)

add c to both sides

d)

divide both sides by m

169.

Isolating a variable in a literal equation requires the use of ______ to undo the operations connected to it.

a)

an eraser

b)

inverse operations

c)

apps that solve it for you

170.

Solve for n:

$\frac{-8n+36}{4}=15$

a)

n = -3

b)

n = -12

c)

n = 8

d)

answer not here

171.

Solve for y:

5x - y = -16

a)

y = -21x

b)

y = (-16/5)x

c)

y = -5x - 16

d)

y = 5x + 16

172.

Joseph, Ben, and Peyton solved the same equation but got different answers. Who is correct?

a)

Joseph

b)

Ben

c)

Peyton

173.

Is the solution below correct?

5d = 2d - 18

-2d -2d

3d = -18

d = 6

a)

Yes

b)

No

174.

Michael borrows money from his uncle, who is charging him simple interest using the formula $I=\Pr t$ . To figure out what the interest rate, r, is, Michael rearranges the formula to find r. His new formula is r equals

a)

$\frac{I-P}{t}$

b)

$\frac{P-I}{t}$

c)

$\frac{I}{Pt}$

d)

$\frac{Pt}{I}$

175.

Solve for x:
ax - b = c+d

a)

x = a(c + d + b)

b)

x = (c + d) / (a-b)

c)

x = a / (c + b + d)

d)

x= (c + b + d)/a

176.

Solve for y:
5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

177.

-15 = 5a +12- 2a + 6

a)

-11

b)

-3

c)

10

d)

7

178.

4(a + 3) = -32

a)

-11

b)

-44

c)

-20

d)

-8

179.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

180.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

181.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

182.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

183.

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

a)

4

b)

3

c)

2

d)

1

184.

Solve the equation:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

185.

2x + 3(5x - 7) = 47

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

186.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

187.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

188.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

189.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

190.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

191.

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.

192.

What is the first step to complete when solving this equation?

10 - 3y = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

193.

What is the first step in solving a multi-step equation?

a)

Distribution (If necessary)

b)

Combine Like Terms

c)

Move the variable

d)

Move the constant

194.

What is the second step in solving multi-step equations?

a)

Distribution (if necessary)

b)

Combine Like terms

c)

Move Variable

d)

Solve! With SADMEP

195.

What is the third step in solving multi-step equations?

a)

Distribution (If necessary)

b)

Combine Like Terms

c)

Move Variable

d)

Solve! With SADMEP

196.

Solve

-19 = -8 (-4+a) - (2a+1)

a)

-1

b)

14

c)

-5

d)

5

197.

Solve

-124 = 4 (1+ 8k)

a)

-11

b)

10

c)

-4

d)

-2

198.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

199.

Solve: $3a-28-7a=10a$

(a)

200.

Solve: $17-5a+9a=-12+6a-1$

(a)

201.

Solve: $8\left(y-7\right)=-2\left(y+3\right)$

(a)

202.

Solve: $-3\left(8x+5\right)=3\left(9-x\right)$

(a)

203.

Solve: $2\left(3n-5\right)=2\left(n-11\right)-4$

(a)

204.

Solve: $-\frac{2}{3}\left(15x+3\right)=-3x-9$

(a)

205.

Solve: $3\left(1-9a\right)+22a=2\left(2a-9\right)-15$

(a)

206.

Solve: $-3\left(3m-10\right)-7=-5\left(m+1\right)+3m$

(a)

207.

−6n − 20 = −2n + 4(1 − 3n)

Hint: Enter the number only

(a)

208.

n + 2 = −14 − n

Hint: Enter the number only

(a)

209.

5x - 2 = x + 26

Hint: Enter the number only

(a)

210.

Solve

a)

p = -1

b)

p = -3

c)

p = 13/11

d)

p = 1

211.

Solve: -10x + 40 = -80

a)

x = 12

b)

x = 4

c)

x = -12

d)

x = -4

212.

a)

term

b)

coefficient

c)

variable

d)

constant

213.

Solve: 11x - 44 = 9x - 20

a)

x = 12

b)

x = 32

c)

x = -12

d)

x = -32

214.

Solve: 9 - 4x = 12x + 25

a)

x = 2

b)

x = 1

c)

x = -3

d)

x = -1

215.

Solve: 9x + 1 = 64

a)

x = 6

b)

x = 7

c)

x = 8

d)

x = 9

216.

Solve: 5x + 15 = 10x - 40

a)

x = 10

b)

x = -10

c)

x = 11

d)

x = -11

217.

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.

218.

Solve the equation for the variable

a)

5

b)

10

c)

12

d)

17

219.

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

a)

Subtracted 2x from both sides of the equation

b)

Subtracted 9 from both sides of the equation

c)

Multiplied both sides of the equation by 3

d)

Added -3 to both sides of the equation

220.

$\frac{\left(x+2\right)}{2}=4$ Solve for x

a)

x = 6

b)

x = 0

c)

x = 2

d)

x = 4

221.

Solve:
7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

222.

Solve:
30 + 6t = 11t

a)

3

b)

5

c)

6

d)

30

223.

Solve:
10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

224.

Solve:
8w - 8 = -4w + 16

a)

8

b)

16

c)

24

d)

2

225.

Solve:
7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

226.

Solve for x:
4(1-x) + 3x = -2(x+1)

a)

x = -6

b)

x = 6

c)

x = 3

227.

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

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

228.

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

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

229.

Solve the equation:
4x - 5x + 9 = 5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

230.

Solve the equation:
-8x - 8 + 3(x-2) = -3x + 2

a)

x = -8

b)

x = 8

c)

x = 2

d)

x = -2

Changing the subject

Total questions: 230

Worksheet time: 15hrs 4mins

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