Free Printable Solving Equations & Inequalities

1.

What is the solution to $3x+5=11$ ?

a)

$2$

b)

$3$

c)

$\frac{16}{3}$

d)

$\frac{33}{5}$

2.

What is the solution to $\frac{x}{5}+6=10$ ?

a)

$20$

b)

$16$

c)

$\frac{4}{5}$

d)

$\frac{5}{4}$

3.

What is the solution to $8x+1.7=8.5$ ?

a)

$0.85$

b)

$10.2$

c)

$6.8$

d)

$0.32$

4.

What is the solution to $\frac{2x}{3}-\frac{4}{5}=17$ ?

a)

$24.3$

b)

$17.8$

c)

$16.2$

d)

$26.8$

5.

What is the solution to $\frac{3}{8}x=\frac{9}{4}$ ?

a)

$6$

b)

$\frac{27}{32}$

c)

$\frac{30}{27}$

d)

$\frac{2}{3}$

6.

What is the solution to $.2x-10=5$ ?

a)

$75$

b)

$-5$

c)

$15$

d)

$14.8$

7.

What is the solution to $.5x-2.5=6x\ +9$ ?

a)

$-2.09$

b)

$-3.1$

c)

$\frac{-12.5}{5.5}$

d)

$\frac{-11}{6.5}$

8.

What is the solution to $5x+18=25$ ?

a)

$1.4$

b)

$8.6$

c)

$-13$

d)

$\frac{5}{7}$

9.

What is the solution to $5.4x+7=19.8$ ?

a)

$2.\overline{370}$

b)

$4.\overline{962}$

c)

$-3.\overline{3}$

d)

$1.\overline{47}$

10.

What is the solution to $3x-8.5=-7x+9$ ?

a)

$1.75$

b)

$0.125$

c)

$-2$

d)

$0.05$

11.

What is the value of x in the equation $4x+2=34$ .

(a)

12.

What is the value of x in the equation $3x-5=16$ .

(a)

13.

What is the value of x in the equation $32x+12=-3$ .

(a)

14.

What is the value of x in the equation $\frac{8}{3}x-7=-15$ .

(a)

15.

What is the value of x in the equation $2.5x+8=25.5$ .

(a)

16.

What is the value of x in the equation $\frac{5}{6}x-7=-\frac{19}{2}$ .

(a)

17.

What is the value of x in the equation $\frac{5}{6}x+\frac{1}{6}=-\frac{13}{2}$ .

(a)

18.

What is the value of x in the equation $\frac{1}{3}x+\frac{2}{3}=0$ .

(a)

19.

What is the value of x in the equation $\frac{2}{5}x-\frac{3}{5}=\frac{1}{5}$ .

(a)

20.

What is the value of x in the equation $\frac{8}{9}x-\frac{1}{3}=5$ .

(a)

21.

If $q=\frac{q+6}{3}$ then q=?

a)

2

b)

3

c)

5

d)

6

22.

If $2x-2=-1$ , then x=?

a)

1

b)

0.5

c)

-1.5

d)

-3

23.

What is the value of z if $2\left(z+3\right)=6$ ?

a)

-6

b)

-3

c)

-2

d)

0

24.

If $\frac{2q+1}{3}=\frac{4}{3}$ then q=?

a)

1

b)

1.33

c)

1.5

d)

3

25.

If $\frac{q+2}{3}=2$ then q=?

a)

2

b)

4

c)

6

d)

8

26.

If $\frac{q+1}{3}=0$ then $q+1=$ ?

a)

-1

b)

-1/3

c)

0

d)

2

27.

If $\frac{3q+2}{q}=11$ then $\frac{1}{q}=$ ?

a)

1/4

b)

4

c)

8

d)

11

28.

If $\frac{5\left(q-1\right)}{4}-1=0$ then q= ?

a)

1

b)

5/9

c)

5/4

d)

9/5

29.

If $3w<27$ , then which of the following describes the possible values of w?

a)

w > 9

b)

w > 7

c)

w < 8

d)

w < 9

30.

If $6t+2<26$ , then which of the following is a possible value of t?

a)

3.5

b)

4

c)

4.5

d)

5

31.

If $x>6\left(x-5\right)$ , then which of the following is true?

a)

x > 6

b)

x > 5

c)

x < 6

d)

x < -6

32.

If $-13<-2w-3<1$ , then which of the following describes the possible values of w?

a)

-5 < w < 2

b)

-2 < w < 5

c)

2 < w < 5

d)

-5 < w < -2

33.

If $7w-14<4+6w$ , then which of the following describes the possible values of w?

a)

w > 17

b)

w < 18

c)

w < 19

d)

w > 19

34.

If $8<-16-3w$ , then which of the following describes the possible values of w?

a)

w > 8

b)

w > 9

c)

w < -9

d)

w < -8

35.

If $-5<8x-3<5$ , then which of the following describes the possible values of w?

a)

-0.25 < w < 1

b)

-1 < w < 0.25

c)

0.25 < w < 1

d)

-1 < w < 0.25

36.

If $1<\frac{w}{2}-2<9$ , then which of the following describes the possible values of w?

a)

6 < w < 22

b)

0.6 < w < 2.2

c)

2< w < 14

d)

12< w < 24

37.

If $7<-\frac{1}{3}w<8$ , then which of the following describes the possible values of w?

a)

-24 < w < -21

b)

21 < w < 24

c)

-24 < w < 21

d)

-21 < w < -24

38.

If $20<\frac{4}{5}w<40$ , then which of the following describes the possible values of w?

a)

25 < w < 50

b)

16 < w < 32

c)

22 < w < 44

d)

18 < w < 36

39.

If $-8\ <\ -4w\ -2\ <\ 0$ , then which of the following describes the possible values of w?

a)

-0.5 < w < 1.5

b)

-1.5 < w < 0.5

c)

0.5 > w > 1.5

d)

-1.5 < w < -0.5

40.

If $-5.3\le1.24x+8.09\le-2.7$ then which can be a possible value of x?

a)

-10

b)

-12

c)

-8

d)

-6

41.

Andy eats 500 calories for breakfast every morning and then runs before work. When he runs, he burns 160 calories per mile. They want to be left with a net caloric intake of 280 so how many miles should they run to the nearest tenth?

a)

1.3 miles

b)

1.4 miles

c)

1.5 miles

d)

1.6 miles

42.

A 6 feet pine tree was planted in 1998 and grows 3/4^th of an inch per year. After how many years will the tree be over 30 feet tall?

a)

30

b)

32

c)

45

d)

27

43.

A city parking garage charges $3 plus $0.50 per hour. What's the least amount of hours you can park before the price is over $8?

a)

10

b)

8

c)

12

d)

13

44.

Sambo is planning on buying a year-long movie pass to the theatre for $50 a year. With the pass tickets are $5 per movie, without it tickets are $15 per movie. How many movies would he have to see for the pass to worth the purchase?

a)

5

b)

3

c)

4

d)

6

45.

One landscaping company wants to charge $15 per hour of work and $70 for materials. A second company offers to charge $20 per hour with no cost for materials. If h represents hours of work, what statement represents when the first quote is cheaper than the second?

a)

h > 14

b)

h < 14

c)

h < 3

d)

h > 3

Solving Equations & Inequalities

Total questions: 45

Worksheet time: 45mins

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