Free Printable Unit 1 Review - Solving Equations

1.

3a + 9 + 4a = 2

a)

-1

b)

1

c)

no solution

d)

-7

2.

4(a + 3) = -32

a)

-11

b)

-44

c)

-20

d)

-8

3.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

4.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

5.

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)

6.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

7.

Solve. 5n - 4 = 21

a)

10

b)

-5

c)

5

d)

2

8.

M= i + r ; solve for r

a)

M-i

b)

M+i

c)

-M-r

d)

-M+i

9.

$A=\frac{bh}{2}$

Solve for b

a)

$b=2A-h$

b)

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

c)

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

d)

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

10.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

11.

$p\ =\ 2l\ +\ 2w$
solve for w

a)

$w=\frac{p}{2l}-2$

b)

$w=\frac{p-2l}{2}$

c)

$w=\frac{p+2l}{2}$

d)

$w=2p-l$

12.

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

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

13.

Solve. -45 = 5 - 5n

a)

10

b)

12

c)

-10

d)

5

14.

Solve for x

y = mx + b

a)

$x=\frac{yb}{m}$

b)

$x=ybm$

c)

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

d)

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

15.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

16.

8x + 4y= 16 for y

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

17.

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

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

18.

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

a)

x = -6

b)

x = 6

c)

x = 3

19.

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

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

20.

x + 2 = x + 4

a)

all real numbers

b)

no solution

c)

x = 0

21.

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

a)

2 hours

b)

3 hours

c)

4 hours

d)

5 hours

22.

Solve for w:

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

a)

$w=17$

b)

$w=40$

c)

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

d)

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

23.

Solve the following equation:

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3, x = −6

c)

x = 3, x = −12

d)

x = 6, x = −12

24.

Solve the following equation:

|2a + 10| = 6

a)

a = 8, a = 2

b)

a = −2

c)

a = −8

d)

a = −8, a = −2

25.

Solve the following equation:

|v + 8| − 5 = 2

a)

{−1, −15}

b)

{−1, −5}

c)

{−15, 15}

d)

No Solution

26.

solve for t.

|t - 8| + 4 = 11

a)

1, 15

b)

-23, 7

c)

15

d)

15, -15

27.

Solve the inequality.

-5j\le10

a)

$j\ge-2$

b)

$j\le-2$

c)

$j\le15$

d)

$j\ge15$

28.

Solve the inequality.

v-5\ge-9

a)

$v\ge-4$

b)

$v\le-4$

c)

$v\ge14$

d)

$v\le14$

29.

Solve for x

4x + 3 ≤ −6

a)

x ≥ −9

b)

x ≤ −9

c)

x ≥ −2.25

d)

x ≤ −2.25

30.

Solve for x

3x − 8 ≥ 4(x − 1.5)

a)

x ≥ 3.5

b)

x ≤ 3.5

c)

x ≥ −2

d)

x ≤ −2

31.

Solve for x

6x − 7 > 2x + 17

a)

x > 6

b)

x < 6

c)

x > 7

d)

x < 7

32.

Solve for x

a)

x = 1/10

b)

x = 10

c)

x = 4

d)

x = 5

33.

Solve for x

a)

x = 16

b)

x = 28

c)

x = 1/26

d)

x = 26

34.

Solve for x.

$\frac{x+4}{10}=\frac{3}{5}$

Don't forget to distribute when you cross multiply.

a)

2

b)

5.2

c)

6

d)

10

35.

Solve for x.

$\frac{x-2}{14}=\frac{4}{7}$

a)

10

b)

14

c)

8.29

d)

26.5

Unit 1 Review - Solving Equations

Total questions: 35

Worksheet time: 2hrs 49mins

Similar Resources on Wayground