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Unit 2 Review

Total questions: 88

Worksheet time: 5hrs 35mins

Name
Class
Date
1.
Solve the proportion
a)
x = 3
b)
x = -3
c)
x = 1
d)
x = -1
2.
Solve the equation for x:
a)
17
b)
16
c)
15
d)
14
3.
Solve for b 
a)
b = 8
b)
b = 17/12
c)
b = 4/3
d)
b = 1/8
4.
Solve for k
a)
165
b)
17
c)
1/17
d)
1/165
5.
Solve for k
a)
165
b)
17
c)
1/17
d)
1/165
6.

Solve the proportion

(a)  

7.



(a)  

8.

Solve the proportion

(a)  

9.

Solve the equation for x:

(a)  

10.
Solve for w
a)
10/3
b)
50/9
c)
46/9
d)
22/3
11.

Solve the proportion

a)

x = -1/4

b)

x = 1/3

c)

x = -3/4

d)

x = 3/4

12.

Solve for k

(a)  

13.

Solve:

(a)  

14.

Solve:

a)

6

b)

7

c)

-8

d)

-5

15.

Solve:

(a)  

16.

6 pencils costs 36 cents. How much do 2 pencils cost?

a)

6

b)

12

c)

3

d)

8

17.

8 sweets cost 72 cents. How much do 6 sweets cost?

a)

45

b)

54

c)

36

d)

24

18.

If four ice creams cost $3.20, what would 8 ice cream cost?

a)

$7.20

b)

$6.40

c)

$10.00

d)

$9.60

19.

Three bags of rice weigh 90 kgs. How much do 9 bags weigh?

a)

180 kg

b)

240 kg

c)

270 kg

d)

360 kg

20.

Six movie tickets cost $240. How much do 2 movie tickets cost?

a)

$30

b)

$80

c)

$60

d)

$90

21.

Five apples cost 80 cents. Find the cost of 20 apples.

a)

$6.00

b)

$12.00

c)

$9.00

d)

$3.20

22.

7 soccer balls cost $630. How much do 14 soccer balls cost?

a)

$900

b)

$315

c)

$1890

d)

$1260

23.
A bird flies 35 meters in 10 seconds.  If it keeps flying at the same rate, how long will it take it to fly 14 more meters?  
a)
x = 49 seconds
b)
x = 4 meters
c)
x = 49 meters
d)
x =  4 seconds
24.
A car travels 420 miles in 8 hours.  If the car continues at the same rate, how far will it travel in 12 hours?
a)
630 miles
b)
630 hours
c)
600 miles
d)
540 hours
25.
Pat needs 14 sticks of pepperoni to make 28 pizzas.  How many sticks of pepperoni are needed to make 36 pizzas?  
a)
15 pizzas
b)
252 sticks
c)
18 sticks
d)
18 pizzas
26.
Jessica was planning a trip to Jamaica. Before going, she did some research and learned that the exchange rate is one Jamaican dollar for 0.5 US dollars. How much Jamaican money would she get if she exchanged $28?
a)
$56
b)
$14
c)
$5.60
d)
$140
27.
On a map, if one centimeter represents 25 kilometers, how many kilometers does 7 centimeters represent?
a)
175
b)
185
c)
200
d)
220
28.
Solve for x 
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
29.

35% of 700 is what?

a)

235

b)

245

c)

244

d)

254

30.

80% of 90 is what number?

a)

72

b)

77

c)

73

d)

70

31.

25% of 120 is what number?

a)

35

b)

40

c)

30

d)

32

32.

17% of 300

a)

81

b)

51

c)

44

d)

88

33.

65% 0f 320 is what number?

a)

202

b)

227

c)

215

d)

208

34.

What percent of 60 is 90?

a)

150%

b)

75%

c)

125%

d)

66.7%

35.

175 is what percent of 25?

a)

75%

b)

70%

c)

700%

d)

750%

36.

What percent of 10 is 2?

a)

2%

b)

20%

c)

25%

d)

22%

37.

9 is what percent of 36?

a)

28%

b)

30%

c)

20%

d)

25%

38.

3 is what percent of 50?

a)

9%

b)

6%

c)

5%

d)

11%

39.

80% of what number is 16?

a)

20

b)

22

c)

14

d)

25

40.

40% of what number is 24?

a)

62

b)

70

c)

60

d)

65

41.

75% of what number is 630?

a)

830

b)

855

c)

815

d)

840

42.

64% of what number is 96?

a)

145

b)

155

c)

150

d)

160

43.

30% of what number is 75?

a)

245

b)

250

c)

255

d)

265

44.

 Sarah buys a dress that costs $142 plus an additional 6% sales tax.  If the dress is on sale for 10% off and Sarah also uses a coupon for an additional 15% off, what is the final price of the dress?

(a)  

45.
Solve for x
l 4x−3 l = 17
a)
x = 5 and x =-3.5
b)
x = 0 and x = -5
c)
x = 10 and x = -10
d)
No Solution
46.
Solve for x
l x−6 l + 4= 10
a)
x = 12 and x = 0
b)
x = 3 and x = -3
c)
x = -12 and x = 0
d)
No Solution
47.

−2|−2r − 4| = -12

a)

{3,1}

b)

{-5,1}

c)

{-3}

d)

No Solution

48.
|8 - 4x| = 16
a)
x = -2, x = -6
b)
x = 2 , x = 24
c)
x = -2, x = 6
d)
No Solution
49.
Evaluate each expression.
| x + 9 | = -5
a)
-14
b)
-4
c)
{-14, -4}
d)
no solution
50.
Solve |x – 12| - 3 = 11.
a)
-2, -26
b)
-2, 26
c)
3, 25
d)
4, -7
51.
Solve for x
2 lx−4l+8=18
a)
x = 9 and x =-1
b)
x = 1 and x = -9
c)
x= 4 and x = -2
d)
No Solution
52.

Solve the following equation:


|−2n| + 10 = −50

a)

{30, −30}

b)

{20, −20}

c)

{−5, 5}

d)

No Solution

53.

Solve the following equation:

|−2n| - 30 = −20

a)

{10, −10}

b)

{20, −20}

c)

{−5, 5}

d)

No Solution

54.
8|-2x + 4| = 96
a)
x = -4, x = 8
b)
x = -4
c)
x = -4, x = -8
d)
x = 4, x = 8
55.
| 3x - 6 | - 9 = -3
a)
No Solution
b)
x = 0 and x = 4
c)
x = 2 and x = -2
d)
x = -4 and x = 4
56.
| 3n + 12 | = 2n
a)
No Solution
b)
n = -12 and n = -12/5
c)
n = -12
d)
n = -12/5
57.
Solve for x
l 2x−1 l = 9
a)
x = 5 and x =-4
b)
x = 5 and x = -5
c)
Only x = 5
d)
No Solution
58.

Solve the following equation:


3| −8x| + 8 = 80

a)

{−7/3, 7/3}

b)

{−3, 3}

c)

{11/3, −11/3}

d)

No Solution

59.

Solve the following equation:


|2x – 3| + 5 = 10.

a)

{−1, 1}

b)

{−1, 4}

c)

{−1, −4}

d)

{1, 4}

60.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
61.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
62.
What inequality is graphed? 
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
63.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
64.
Solve:
a)
A
b)
B
c)
C
d)
D
65.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

66.
x + 8 < 3 or - 8x < -40 
a)
x > -5 or x < 5
b)
x < -5 and x > 5
c)
x < -5 or x > 5 
d)
x > -5 and x < 5 
67.

Solve:

3x + 2 < -7 or -4x + 5 < 1

a)

All real numbers

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

68.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

69.
Solve -2 = 4r + s for s.
a)
s = -2 + 4r
b)
s = 2 - 4r
c)
s = -2 - 4r
d)
s = 2 + 4r
70.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
71.
Solve for n:
2m - n = 8
a)
n = 2m - 8
b)
n = -2m - 8
c)
n = 2m + 8
d)
n = -2m + 8
72.

Solve for x: u = 2x - 2

a)

x = u1x\ =\ u-1

b)

x = 2u +2x\ =\ \frac{2}{u}\ +2

c)

x x = (u2)2x\ =\ \frac{\left(u-2\right)}{2}

d)

x = u2+1x\ =\ \frac{u}{2}+1

73.

Solve for a:            12am = 4

a)

a =13ma\ =\frac{1}{3m}  

b)

a = 4 -12m

c)

a = 12m4a\ =\ \frac{12m}{4}  

d)

a = 12m  4a\ =\ 12m\ -\ 4  

74.

Solve for a:      u = (ak)bu\ =\ \frac{\left(ak\right)}{b}  

a)

a = ukb

b)

a = uk + b

c)

a = (ub)ka\ =\ \frac{\left(ub\right)}{k}  

d)

a = kuba\ =\ \frac{k}{ub}  

75.

x = (4k)6x\ =\ \frac{\left(4-k\right)}{6}  

Solve for k:

a)

k=6x 4k=6x\ -4  

b)

k = (x6)4k\ =\ \frac{\left(x-6\right)}{4}  

c)

k = 24-x

d)

k= 46xk=\ 4-6x  

76.

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

a)

x = c+bax\ =\ \frac{c+b}{a}  

b)

x = cbax\ =\ \frac{c-b}{a}  

c)

x = a+bcx\ =\ \frac{a+b}{c}  

d)

x = c+abx\ =\ \frac{c+a}{b}  

77.

2.  Given 15x + 1 = y, solve for x.

a)

x =y+115x\ =\frac{y+1}{15}  

b)

x =y151x\ =\frac{y-15}{1}  

c)

x =y115x\ =\frac{y-1}{15}  

d)

x =y+151x\ =\frac{y+15}{1}  

78.

Given xy + w = 9, solve for y.Given\ xy\ +\ w\ =\ 9,\ solve\ for\ y.  

a)

y=9+wxy=\frac{9+w}{x}  

b)

y=9xwy=\frac{9-x}{w}  

c)

y=9wxy=\frac{9-w}{x}  

d)

y=9+xwyy=\frac{9+x}{wy}  

79.

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

a)

r=tdr=\frac{t}{d}  

b)

t = drt\ =\ \frac{d}{r}  

c)

d=rtd=\frac{r}{t}  

d)

r=dtr=\frac{d}{t}  

80.

Given mx+4y=3t, solve for x.Given\ mx+4y=3t,\ solve\ for\ x.  

a)

x= 3t+4ymx=\ \frac{3t+4y}{m}  

b)

x=3t4ymx=\frac{3t-4y}{m}  

c)

x=3m4ytx=\frac{3m-4y}{t}  

d)

x=3y+4tmx=\frac{3y+4t}{m}  

81.

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

a)

l=Vwhl=\frac{Vw}{h}  

b)

l=Vwhl=\frac{V}{wh}  

c)

l=Vhwl=\frac{Vh}{w}  

d)

l=whVl=\frac{wh}{V}  

82.

Given 5xy=16, Solve for y.Given\ 5x-y=16,\ Solve\ for\ y.  

a)

y=5x+16-y=5x+16  

b)

x=5y16x=5y-16  

c)

y=5x+16y=5x+16  

d)

y=5x16y=5x-16  

83.

Solve: C=2πr, for rSolve:\ C=2\pi r,\ for\ r  



a)

r=C2πr=\frac{C}{2\pi}  

b)

r=C+2πr=C+2\pi  

c)

r=C2πr=C-2\pi  

d)

r=2πCr=2\pi C  

84.

Solve C=59(F32), for F.Solve\ C=\frac{5}{9}\left(F-32\right),\ for\ F.  

a)

F = 59C+32F\ =\ \frac{5}{9}C+32  

b)

F = 59C32F\ =\ \frac{5}{9}C-32  

c)

F = 95C32F\ =\ \frac{9}{5}C-32  

d)

F = 95C+32F\ =\ \frac{9}{5}C+32  

85.

Solve 3b=6v3b, for b.Solve\ 3b=6v-3b,\ for\ b.  

a)

6b66b-6  

b)

b6b-6  

c)

00  

d)

66  

86.

Solve ax5=b, for a.Solve\ ax-5=b,\ for\ a.  

a)

a=x(b+5)a=x\left(b+5\right)  

b)

a=(b+5)xa=\frac{\left(b+5\right)}{x}  

c)

a=(b5)xa=\frac{\left(b-5\right)}{x}  

d)

a=x(b5)a=x\left(b-5\right)  

87.

Given 8x+4y=16, solve for y.Given\ 8x+4y=16,\ solve\ for\ y.  

a)

y=2x+4y=-2x+4  

b)

y=8x+16y=-8x+16  

c)

y=2x4y=2x-4  

d)

y=8x+12y=-8x+12  

88.

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

a)

x=(yb)mx=\frac{\left(y-b\right)}{m}  

b)

x = ybmx\ =\ y-\frac{b}{m}  

c)

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