Free Printable 8th grade Unit 1-Solving review

1.

What is the second step to solving an equation after identifying the unknown?

a)

clean my room

b)

Throw tomatoes at Smoot

c)

Simplify by distributing, reducing, and combining all like terms

d)

multiply every term by my birthday

2.

Solve the following equation: 2(g-7) =16

a)

g=1

b)

g=15

c)

g=25/2

d)

g=80

3.

Solve: 5(x + 2) = 30

a)

x=8

b)

x=100

c)

x=15

d)

x=4

4.

How many licks does it takes to get to the center of a tootsie pop?

a)

125

b)

The world may never know

c)

depends on the person eating the tootsie pop

d)

375

5.

Solve: 3(2d + 7) =39

a)

d=3

b)

d=20

c)

d=108

d)

d=18

6.

Solve: 4(a-2) = 3(a +4)

a)

a=6

b)

a=4

c)

a=20

d)

a=20/7

7.

Solve: 3(f + 2) +9 = 13 + 5f

a)

f=4

b)

f=1

c)

f=2

d)

f=3

8.

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

a)

x= -11

b)

x=-11/5

c)

x= -5

d)

x=5

9.

2n + 5 = 4(n +2) - n

a)

n= 3/5

b)

n= -3/5

c)

n= 13

d)

n= -3

10.

Solve: 4(x + 3) =x

a)

x = -4

b)

x = 4

c)

x = -7/3

d)

x = 7/3

11.

Which movie(s) was Smoot watching while creating this quiz? (choose all that apply)

a)

The Man from Snowy River

b)

A quiet place

c)

the Avengers

d)

Mulan

12.

Solve: 2(c-3) = 76 (be sure answer is in simplest form)

a)

c= 35

b)

c= 41

c)

c= 71/2

d)

c= 82/2

13.

Solve: 7(x-2) = 5(x+2)

a)

x= -2

b)

x= 2

c)

x= 12

d)

x= -12

14.

Solve: 2(6x +1) =4(x-5) -2

a)

x= 3

b)

x= -5/2

c)

x= -3

d)

x= 5/2

15.

Solve: 4(2b-6) + 11 = 8b - 13

a)

No solution

b)

b=8

c)

b= -8

d)

b=infinitely many solutions

16.

Who is Smoot's favorite class?

a)

The one not giving her any trouble

b)

All of them

c)

None of them

17.

Solve: 2/3a + 2 = 1/3(4a +1)

a)

a= 5/2

b)

a= 7/2

c)

a=-5/2

d)

a= -7/2

18.

Solve: y-7 = 1/4(y + 2)

a)

y= 10

b)

y= 6

c)

y= -10

d)

y= -6

19.

Solve: 3(4k + 14) =10k - 2(k-7)

a)

k= -7

b)

k=14

c)

k=7

d)

k=-14

20.

Solve: 8-3x = 17

a)

x= 3

b)

x= -3

c)

x= 3/25

d)

x= -3/25

21.

Solve: 5a -6 -2a = 12

a)

a= 6

b)

a= 18/7

c)

a= 2

d)

a= 4

22.

Solve: 4.3t - 2.1t -2.3 = 7.6

a)

t=2.2

b)

t=9.9

c)

t= 4.5

d)

t= 4.3

23.

Solve: 8.1 + 3.8h -5.6h = -7.2

a)

h= 8.1

b)

h= -1.8

c)

h=-15.3

d)

h= 8.5

24.

Solve: 2/5c + 4 -1/5c = -9

a)

c=-13

b)

c= -65

c)

c=65

d)

c=13

25.

2(4y - 16) -5y = -5

a)

y= 32

b)

y= 3

c)

y=18

d)

y= 9

26.

Solve: 3g -6(g-8) = 42

a)

g= 2

b)

g= 18

c)

g= -6

d)

g= 6/9

27.

Solve: 1.3(8-b) +3.7b = -5.2

a)

b=6.5

b)

b= -15.6

c)

b= -6.5

d)

b=15.6

28.

For the past three months, Smoot used her cell phone for 43 minutes, 62 minutes, and 57 minutes. How many minutes would she have to use her cell phone this month for the average usage over the four months to be 55 minutes?

a)

x= 53 minutes

b)

x= 58 minutes

c)

x= 55 minutes

d)

x= 57 minutes

29.

Find the solution set: |3x|= 9

a)

{3,-3}

b)

no solution

c)

{27,-27}

d)

many solutions

30.

Find the Solution set: |-3r| = 9

a)

no solution

b)

{-3, 3}

c)

{2,6}

d)

{-3, 6}

31.

Find the solution set: |b/5| = 1

a)

{1/5, -1/5}

b)

{6, -6}

c)

no solution

d)

{5, -5}

32.

Find the Solution Set: |-6m| = 30

a)

{-5, 5}

b)

no solution

c)

{2, -2}

d)

{5}

33.

Find the Solution set: |n/3| = 2

a)

no solution

b)

{2/3, -2/3}

c)

{6, -6}

d)

{3/2, -3/2}

34.

Find the Solution set: |-4 + 5x| = 16

a)

no solution

b)

{3, -3}

c)

many solution

d)

{4, -12/5}

35.

Find the Solution set: |-2r -1| =11

a)

{-6, 5}

b)

no solution

c)

{5, -5}

d)

{6, -6}

36.

Find the solution set: |1 - 5a| = 29

a)

{6, -6}

b)

{-28/5, 6}

c)

no solution

d)

{-28/5, 28/5}

37.

find the solution set: |-2n + 6| =6

a)

{6, -6}

b)

{0}

c)

no solution

d)

{6, 0}

38.

Find the solution set: |v +8| -5 =2

a)

{-15, 15}

b)

{-1, 1}

c)

{-1, -15}

d)

{15, 1}

39.

Find the Solution set: |5x| + 5= 45

a)

{8, -8}

b)

no solution

c)

{10, -10}

d)

many solutions

40.

Find the solution set: 3|-8x| + 8 = 80

a)

no solution

b)

{8, -8

c)

{3}

d)

{-3, 3}

41.

Find the solution set: 5-8|-2n| = -75

a)

{35/8, -35/8}

b)

{-5,5}

c)

{2, 5}

d)

no solution

42.

Find the solution set: -5|3 + 4k|= -115

a)

{13/2, -13/2}

b)

{5, -13/2}

c)

{5, -5}

d)

no solution

43.

Find the solution set: 3 - |8x-6|=3 (hint: be sure to plug in your answers and make sure they are both a correct solution)

a)

{3/4, -3/4}

b)

{3/4}

c)

{-3/4}

d)

{4/3}

44.

Find the solution set: 5|9-5n| -7 = 38

a)

{0, -5/18}

b)

{18/5}

c)

{0}

d)

{0, 18/5}

45.

What does Smoot mean by "Be on the Stairs"?

a)

Get some exercise in your life

b)

Would you do something with your feet

c)

Work hard, stay on task, and do your very best in all you do.

d)

Try not to trip too many times

46.

Write as an inequality.

You spend less than 2 hours on homework

a)

x >2

b)

x < 2

c)

x ≤ 2

d)

x ≥ 2

47.

$2x\ +5>13$

a)

x > 4

b)

x < 3

c)

x > 9

d)

x < 4

48.

$\frac{\left(x-4\right)}{3}\le5$

a)

x ≥ 11

b)

x < 11

c)

x ≤ 19

d)

x > 19

49.

$5x-7\ge8$

a)

x > 3

b)

x ≥ 3

c)

x ≤ ⅕

d)

x ≤ ⅕

50.

$\frac{x}{2}+4<7$

a)

x < 6

b)

x < 5.5

c)

x ≤ 6

d)

x < 3/2

51.

$17\le\frac{x}{2}+11$

a)

x ≤ 12

b)

x ≥ 14

c)

x ≥ 12

d)

x ≥ 23

52.

$-2\left(x+2\right)<14$

a)

x < - 5

b)

x < -9

c)

x > -5

d)

x > -9

53.

$6\left(n+2\right)<-72$

a)

n < -14

b)

n < -10

c)

n < 35/3

d)

∞

54.

$2\left(a-8\right)\ge-2a$

a)

a ≤ 4

b)

a ≥ 4

c)

a ≥ -4

d)

a ≤ -4

e)

no solution

55.

$-2\left(1-x\right)-2>-8-2x$

a)

x > 3

b)

x > 2

c)

x > 4

d)

x > - 1

e)

x > - 2

56.

$-4\left(5x+3\right)-6x\ge11-3x$

a)

x > - 2

b)

x < 5

c)

x > 3

d)

x < -7

e)

x > 4

57.

$a-6\le15+8a$

a)

a ≤ -3

b)

a ≤ 3

c)

a ≥ -3

d)

a ≥ 3

58.

$1.5+0.75x\le9$

a)

$x\le6.5$

b)

$x\ge10$

c)

$x>2$

d)

$x\le10$

59.

$-8k-4\le-60$

a)

$k<7$

b)

$k>7$

c)

$k\le7$

d)

$k\ge7$

60.

$-10x+5\ge195$

a)

$x\le-19$

b)

$x<-19$

c)

x ≥ -19

d)

x > -19

61.

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on your ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

a)

1.75n + 0.75 ≥ 20

b)

0.75n + 1.75 ≥ 20

c)

0.75n + 1.75 ≥ 20

d)

0.75n + 1.75 ≤ 20

62.

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

a)

30x + 600 > 1,500

b)

30x + 600 < 1,500

c)

30x + 600 ≥ 1,500

d)

30x + 600 < 1,500

63.

Eleni bought 2 pounds of grapes at a cost of $3.49 per pound. She paid with a $10 bill. How much change did she get back?

a)

$3.02

b)

$4.51

c)

$6.51

d)

$6.98

8th grade Unit 1-Solving review

Total questions: 63

Worksheet time: 2hrs 50mins

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