Free Printable Solving Quiz

1.

If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?

a)

3 + 2x

b)

3x + 2

c)

3x + 2x

d)

5x

2.

Scott's Automotive charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie was charged $63.

a)

35x + 7 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

7x + 35 = 63

3.

12 more than a number

a)

12 + n

b)

n - 12

c)

12 > n

d)

12 < n

4.

Jim works at a local restaurant. He earns $8 an hour, plus tips. If Jim earned $350 last week, which included $270 in tips, how many hours did he work?

a)

8/h + 270 = 350

b)

350 = 270 + 8 + h

c)

350 = 270 + 8h

d)

350 -270 = h

5.

What do the following terms mean:
is
equal
the same as

a)

+

b)

-

c)

=

d)

x

6.

Pizzazz Publications is having some books printed. The printer charges $800 plus $5 per book. What equation could help me find how many books can be printed for $4,000?

a)

800 + 5x = 4000

b)

800x + 5 = 4000

c)

4000 + 5x= 800

d)

800 + 5 = 4000

7.

Mr. Piper's plumbing needed repairs. The plumber charged $98 for parts plus $45 per hour for labor. If the bill totaled $458, how could I find out the hours of labored required?

a)

98x + 45 = 458

b)

98 + 45x = 458

c)

45 + 98 = 458

d)

45x - 98 = 458

8.

Oshgosh would like to buy a new pair of skates for $115. So far he has saved $40. If he earns $7.50 per hour, how could I find out how many hours he must work in order to buy the skates?

a)

40 + 7.50x = 115

b)

40x + 7.50 = 115

c)

40 + 7.50 = 115

d)

40 + 17.50x = 115

9.

Write an algebraic equation to represent the situation.

There are two first grade classes at a school. There are 16 students in one class. There are 28 total students in first grade. How many students are in the other class?

a)

$16-x=28$

b)

$16+28=x$

c)

$16+x=28$

10.

Half of your baseball card collection got wet and was ruined. Bought 11 cards to replace some that were lost. How many did you begin with if you now have 31?

a)

40

b)

51

c)

73

d)

62

11.

For which equation would you add 12 as the first step?

a)

$2\left(m\ -12\right)\ =\ 3$

b)

$14\ =\ \frac{x}{12}$

c)

$13\ =\ 5y\ -\ 12$

d)

$5x\ +\ 12\ =\ 7$

12.

Which of the following equations does not have x = 2 as a solution?

a)

$6\ =\ \frac{12}{x}$

b)

$2\left(x\ +4\right)\ =\ 12$

c)

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

d)

$3x\ -\ 2\ =\ -8$

13.

Solve the equation -3(1 + 6x) = 14 - x.

a)

x = 1

b)

x = -1

c)

No solution

d)

All real numbers

14.

Solve the equation 2(5x - 2) = 8x.

a)

-2

b)

1

c)

2

d)

-1

15.

Solve 8(x − 6) = −(x + 3).

a)

5

b)

-5

c)

7

d)

-7

16.

Which equation has a solution of y = -2?

a)

3y + 1 = 5

b)

2y - 5 = 1

c)

4y + 8 = -4

d)

y - 3 = -5

17.

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

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

18.

Solve the equation
12x - 15 = 3(2x+3)

a)

x = 4

b)

x = -4

c)

x = 2

d)

x = -2

19.

$4\left(3r+4\right)=-8\left(2r+5\right)$

a)

$r=-6$

b)

$r=-2$

c)

Infinitely Many Solutions

d)

No Solution

20.

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

a)

-11

b)

-3

c)

10

d)

7

21.

3 + 12(3p + 2) = 9(p - 3)

a)

-20

b)

-13

c)

-2

d)

-18

22.

-12(x - 1) = -3(x - 1)

a)

10

b)

1

c)

14

d)

23

23.

11a + 9(a + 6) = 6(11a + 9)

a)

0

b)

-7

c)

7

d)

-18

24.

-3x - 3(7 + 6x) = 7(1 - 4x)

a)

All Real Numbers

b)

4

c)

-1

d)

5

25.

Solve for w:

\frac{2w+6}{5}=8

a)

$w=17$

b)

$w=40$

c)

$w=\frac{7}{2}$

d)

$w=-\frac{3}{2}$

26.

Solve for x:

-20=\frac{x-3}{6}

a)

$x=-123$

b)

$x=-117$

c)

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

d)

$x=-29$

27.

7(1 - y) = -3(y - 2)

a)

x = 1/4

b)

x = 4

c)

x = 5

28.

Solve for x:

3(x+4) = 17 + 2x

a)

5

b)

6

c)

7

d)

8

29.

Solve for x:

2(x + 1) + 3 = 3(x - 1)

a)

8

b)

2

c)

3

d)

-2

30.

Solve for X

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

a)

4

b)

5

c)

7

d)

3

31.

Solve for b:
-11 + 3(b + 5) = 7

a)

b = 1

b)

b = -1

c)

b = 3

d)

b = -3

32.

Solve for k:

a)

k = 32

b)

k = 12

c)

k = 44

d)

k = 8

33.

Which of the following equations does not have x = 2 as a solution?

a)

$6\ =\ \frac{12}{x}$

b)

$2\left(x\ +4\right)\ =\ 12$

c)

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

d)

$3x\ -\ 2\ =\ -8$

34.

Solve for x:

2x -1(3+4x) = 11

a)

x = -4

b)

x = 7/3

c)

x = -7

d)

x = -17/8

35.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

36.

$-7-2x=1-x$

a)

$x=-16$

b)

$x=-8$

c)

$x=10$

d)

$x=-10$

37.

$6k+2k=-6+8k-2+8$

a)

All real numbers

b)

$k\ =\ 4$

c)

$k=16$

d)

No solution

38.

$2+3p=2+4p-p$

a)

$p=-4$

b)

$p=-9$

c)

All real numbers

d)

$p=-16$

39.

$3+x=x-2$

a)

$x=-8$

b)

No solution

c)

$x=-4$

d)

$x=-5$

40.

$6n+8=1+4n-1$

a)

$n=10$

b)

$n=9$

c)

$n=-16$

d)

$n=-4$

41.

$9+6p=1+4p$

a)

$p=-3$

b)

$p=13$

c)

$p=-4$

d)

$p=13$

42.

$3+6n=9+3n$

a)

$n=-10$

b)

All real numbers

c)

$n=0$

d)

$n=2$

43.

$2-4x=5x+2$

a)

$x=16$

b)

All real numbers

c)

$x=-9$

d)

$x=0$

44.

$4-7b=1-8b$

a)

$b=10$

b)

No solution

c)

$b=-3$

d)

$b=2$

45.

$2-7m-2-7=6+6m$

a)

$m=5$

b)

$m=11$

c)

$m=-1$

d)

$m=-6$

46.

$5-6p=11-4p$

a)

$p=-15$

b)

$p=-3$

c)

$p=-14$

d)

$p=12$

47.

$-5n-n=-12-4n$

a)

$n=0$

b)

No solution

c)

$n=-11$

d)

$n=6$

48.

$6b+1=1+7b$

a)

No solution

b)

$b=0$

c)

$b=13$

d)

$b=1$

49.

$2-8n+2n=-6-8n+n$

a)

$n=4$

b)

$n=-4$

c)

$n=8$

d)

$n=-8$

50.

$2-3x+5x=16-8x+8x$

a)

$x=-1$

b)

No solution

c)

$x=7$

d)

$x=6$

51.

$-9-4x=1-6x$

a)

$x=-13$

b)

$x=-15$

c)

$x=5$

d)

$x=-16$

52.

$7n+12=3n+8n$

a)

$n=3$

b)

$n=5$

c)

$n=4$

d)

$n=-8$

53.

$4+3x=3x-3$

a)

$x=-6$

b)

$x=-14$

c)

$x=3$

d)

No solution

54.

$-4+6n=8n+6$

a)

$n=4$

b)

$n=12$

c)

$n=-16$

d)

$n=-5$

55.

$-7+4x=1+6x$

a)

No solution

b)

$x=15$

c)

$x=-3$

d)

$x=-4$

56.

A - B = C

(solve for A)

a)

A = C - B

b)

A = C + B

c)

A - C = B

d)

B = A - C

57.

IR = V

(solve for R)

a)

$R=IV$

b)

$R=\frac{I}{V}$

c)

$R=\frac{V}{I}$

d)

$R=V-I$

58.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

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

b)

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

c)

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

d)

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

59.

$Solve\ y\ =\ mx\ +\ b\ for\ x.$

a)

$x=\frac{\left(y-b\right)}{m}$

b)

$x\ =\ y-\frac{b}{m}$

c)

$x=\frac{y}{m}-b$

60.

Solve for x: u = 2x - 2

a)

$x\ =\ u-1$

b)

$x\ =\ \frac{2}{u}\ +2$

c)

x $x\ =\ \frac{\left(u-2\right)}{2}$

d)

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

61.

2. Given 15x + 1 = y, solve for x.

a)

$x\ =\frac{y+1}{15}$

b)

$x\ =\frac{y-15}{1}$

c)

$x\ =\frac{y-1}{15}$

d)

$x\ =\frac{y+15}{1}$

62.

Inverse of
division

a)

addition

b)

equals

c)

subtraction

d)

multiplication

63.

$-3x\ +2c\ =\ 3\ \ \ \ \ \ \ \ solve\ for\ x$

a)

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

b)

$x\ =\ 6+2c$

c)

$x\ =\ 6-2c$

d)

$x\ =\ \frac{3+2c}{3}$

64.

$Given\ d=rt,\ solve\ for\ r.\$

a)

$r=\frac{t}{d}$

b)

$t\ =\ \frac{d}{r}$

c)

$d=\frac{r}{t}$

d)

$r=\frac{d}{t}$

65.

$Given\ V=lwh,\ solve\ for\ l.$

a)

$l=\frac{Vw}{h}$

b)

$l=\frac{V}{wh}$

c)

$l=\frac{Vh}{w}$

d)

$l=\frac{wh}{V}$

Solving Quiz

Total questions: 65

Worksheet time: 3hrs 14mins

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