Free Printable Unit 2: Equations and Inequalities

1.

Which of the following expressions is equivalent to 12a + 3a?

a)

a(12 + 3a)

b)

3a(4 + 1)

c)

3(12a + a)

d)

a(12 + 3a)

2.

Find an equivalent expression for the given expression: 36x + 24

a)

4(9x + 7)

b)

4(9x + 8)

c)

2(18x + 12)

d)

12(3x + 3)

3.

If 3x + 8 = 11, what does 3x + 2 = ?

a)

5

b)

17

c)

2

d)

11

4.

If 4x = 12, what does 12x = ?

a)

36

b)

15

c)

24

d)

9

5.

If 2x + 4 = 3, what does 4x + 8 =

a)

6

b)

11y

c)

9

d)

5

6.

What equation is equivalent to the following equation:

4(x + 2) = 3

a)

4x + 8 = 3

b)

x + 8 = 6

c)

4x + 8 = 12

d)

4x + 2 = 3

7.

What equation is equivalent to the following equation:
x + 3 = 12

a)

x + 6 = 12

b)

2x + 6 = 24

c)

x = 8

d)

x - 1 = 11

8.

What equation is equivalent to the following equation:
4x - 2 = 19

a)

4x + 8 = 29

b)

3x - 1 = 18

c)

8x - 4 = 19

d)

4x = 17

9.

If ¹/₂x + ¹/₃y = 12, what does 3x + 2y = ?

a)

15

b)

144

c)

72

d)

60

10.

If 3/4x + 2/3y = 4, what does 9x+8y = ?

a)

9

b)

12

c)

24

d)

48

11.

Which equation is equivalent to y = x + 5

a)

y + 3 = x + 8

b)

2y = 2x + 5

c)

y - 1 = x + 4

d)

4y = x + 20

12.

d = rt, solve for r

a)

r = dt

b)

r = d/t

c)

r = d - t

d)

r = d + t

13.

Solve for T, B = T - Lc

a)

T = BLc

b)

T = B - Lc

c)

T = $\frac{B}{Lc}$

d)

T = B + Lc

14.

Solve for h, S = $2\pi rh$

a)

h= $\frac{S}{2\pi r}$

b)

h = $S2\pi r$

c)

h = $S-2\pi r$

d)

h = $\frac{2\pi r}{S}$

15.

Solve for m
$E=mc^2$

a)

$m=E-c^2$

b)

$m=Ec^2$

c)

$m=\frac{2E}{c}$

d)

$m=\frac{E}{c^2}$

16.

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

Solve for b

a)

$b=2A-h$

b)

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

c)

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

d)

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

17.

Solve for x

y = mx + b

a)

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

b)

$x=ybm$

c)

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

d)

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

18.

$I=\frac{E}{R}$ Solve for E

a)

$E=I-R$

b)

$E=I+R$

c)

$E=IR$

d)

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

19.

Solve for x:
3x² = d

a)

x = ±√^d/₃

b)

x = √d

c)

x = √3d

d)

x = ±3

20.

Solve for x:
x²+ b = c

a)

±√(c - b)

b)

±c-b

c)

(c- b)/ 2

d)

x - c

21.

Solve for b:
b² = c

a)

±√c

b)

√c

c)

±c/b

d)

2b

22.

Solve for c:
3c²- 5 = A

a)

c = ±√⁽A+5)/3)

b)

c = ±A + 5

c)

c = ±√A + ⁵/₃

d)

c = ±⁵/₃

23.

Solve for d:
d² - 1= M

a)

d = ±√(M + 1)

b)

d = M + 1

c)

d = ±√M

d)

d = ±√(M - 1)

24.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

25.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

26.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

27.

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

a)

1

b)

2

c)

3

d)

4

28.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

29.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

30.

Solve.
(x/4) + 10 = 34

a)

x = 4

b)

x = 6

c)

x = 96

d)

x = 144

31.

Solve.
(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

32.

Solve the equation:
^x/₃+ 10 = 15

a)

75

b)

15

c)

25

d)

5

33.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

34.

Solve the inequality. Don't forget to check your solution set.
12 ≥ 15 - 6y

a)

y ≤ ½

b)

y ≤ 2

c)

y ≥ ½

d)

y ≥ 2

35.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

36.

Solve:
3(x - 2) < 2(x + 9)

a)

x<24

b)

x>12

c)

x<12

d)

x>24

37.

Solve:
4(2a + 3) < 3(a - 1)

a)

a<-3

b)

a>-3

c)

a<3

d)

a>3

38.

9 ≥ -2m + 2 − 3

a)

m ≤ 5

b)

m ≤ -5

c)

m ≥ -5

d)

m ≥ 5

39.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

40.

-p − 4p > -10

a)

p > -2

b)

p > 2

c)

p < -2

d)

p < 2

41.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

42.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

43.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

44.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

Unit 2: Equations and Inequalities

Total questions: 44

Worksheet time: 3hrs 56mins

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