Free Printable Alg Chpt 2 Review

1.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

2.

7(2x - 4) = 42

a)

x= 5

b)

x= 8

c)

x= 2

d)

x= 9

3.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

4.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

5.

0 = 8z + 8

a)

-1

b)

1

c)

0

d)

8

6.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

7.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

8.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

9.

Solve:
3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

10.

3r - 5 = 2r

a)

No solution

b)

Infinitely many solutions

c)

r = 5

11.

Solve:
-4x = 24

a)

20

b)

-20

c)

6

d)

-6

12.

Solve:
3x + 7 = -8

a)

5

b)

-5

c)

-12

d)

-18

13.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

14.

Solve:
-8 + 5x - 2 = 20

a)

6

b)

-6

c)

2

d)

-2

15.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

16.

Solve:
6(5x - 3) + 2 = 14

a)

2

b)

.5

c)

-1

d)

1

17.

$-\frac{2}{3}x\ =\ 6$

a)

x = 6

b)

x = -6

c)

x = 9

d)

x = -9

18.

$\frac{5}{8}x+2=17$

a)

x = -24

b)

x = 50

c)

x = 24

d)

x = -50

19.

$\frac{1}{3}d-6=0$

a)

d = 2

b)

d = -2

c)

d = 18

d)

d = -18

20.

$3+\frac{1}{4}a=31$

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

21.

Solve.

a)

x = 12

b)

x = 24

c)

x = 4

d)

x = 9

22.

Solve.

a)

y = 8

b)

y = 15.3

c)

y = 2

d)

y = -12

23.

Solve.

a)

n = -14

b)

n = 14

c)

n = 16.8

d)

n = -70

24.

$\frac{5x}{7}-\frac{x}{14}=\frac{9}{7}$

Put just the value of x into the blank.

(a)

25.

$\frac{2}{3}x-\frac{1}{6}=\frac{5}{6}x-\frac{2}{3}$

Put just the value of x into the blank.

(a)

26.

$\frac{4}{7}+\frac{3}{7}x=\frac{20}{7}-\frac{5}{7}x$

Put just the value of x into the blank.

(a)

27.

$\frac{3x-1}{2}-\frac{x-2}{3}=6$

Put just the value of x into the blank.

(a)

28.

How many solutions are there?
4x-1=4x-1

a)

one solution

b)

many solutions

c)

no solutions

29.

How many solutions are there?
6x+2=6x+5

a)

one solution

b)

many solutions

c)

no solutions

30.

$g\ +\ \frac{9}{10}=\frac{7}{10}$

a)

$g\ =-\frac{1}{5}$

b)

$g\ =\frac{1}{5}$

c)

$g\ =\frac{16}{10}$

d)

$g\ =\frac{16}{20}$

31.

Solve for w:

\frac{2w}{5}-9=11

a)

$w=50$

b)

$w=10$

c)

$w=32$

d)

$w=23$

32.

Solve for x:

50=\frac{5}{4}\left(3x-8\right)

a)

$x=\frac{16}{3}$

b)

$x=16$

c)

$x=4$

d)

$x\ =\ \frac{15}{4}$

33.

$Solve.\ \ \frac{3a\ -1}{4}\ =\ \frac{-2a\ +\ 4}{-2}$

ONLY PUT THE NUMBER AS THE ANSWER!

(a)

34.

solve for m:

\frac{2}{3}\left(9m-6\right)=20

a)

$m=4$

b)

$m=3$

c)

$m=2$

d)

$m=8$

35.

Solve for x:

50=\frac{5}{4}\left(3x-8\right)

a)

$x=\frac{16}{3}$

b)

$x=16$

c)

$x=4$

d)

$x\ =\ \frac{15}{4}$

36.

Solve for w:

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

a)

$w=17$

b)

$w=40$

c)

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

d)

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

37.

$Solve.\ \ \frac{3a\ -1}{4}\ =\ \frac{-2a\ +\ 4}{-2}$

ONLY PUT THE NUMBER AS THE ANSWER!

(a)

38.

$Solve\ for\ d.\ \ \frac{d-\ 8}{2}\ -\ \frac{3d}{-8}\ =\ 10$

Write the number of the answer only!!!!!

(a)

39.

solve for x

a)

5

b)

-25

c)

15

d)

1/5

40.

A motorcycle can go 50 miles using one gallon of gas. About how many gallons of gas will be used to go 150 kilometers?

(Note: 1 mile is approximately 1.6 kilometers.)

a)

5 gallons

b)

3 gallons

c)

1 gallon

d)

2 gallons

41.

An airplane travels at a constant speed of 320 miles per hour. How far, in miles, will the airplane travel in 15 minutes?

a)

80 miles

b)

20 miles

c)

40 miles

d)

60 miles

42.

There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars could be in the parking lot?

a)

72 trucks and 73 cars

b)

64 trucks and 80 cars

c)

84 trucks and 100 cars

d)

96 trucks and 110 cars

43.

Seventy-five 6th-grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?

a)

100

b)

200

c)

300

d)

400

44.

Write a ratio in simplest form:
10 automobiles to 13 bikes

a)

1/3

b)

10/13

c)

4/5

d)

3/1

45.

Is this proportion equal?
2/7 24/86

a)

=

b)

≠

46.

Is this proportion equal?
1/3 4/12

a)

=

b)

≠

47.

a)

3

b)

5.3

c)

1.08

d)

27

48.

A hot air balloon rose 30 feet in just 6 seconds! How many feet per second is the balloon rising?

a)

6 feet

b)

10 feet

c)

5 feet

d)

1 foot

49.

If the price of 4 movie tickets is $122 what is the cost of 1 ticket?

a)

$61

b)

$31.50

c)

$183

d)

$12.20

50.

A farmer used 518 pounds of fertilizer on 16 acres. How many pounds of fertilizer does Ben use per acre?

a)

12

b)

25.34

c)

32.375

d)

45.431

51.

The ratio of girls to boys at basketball practice is 2:3. If there are 12 girls at practice then how many boys are there?

a)

15

b)

18

c)

20

d)

21

52.

A lemonade recipe calls for 1 cup of sugar for every 4 lemons squeezed. How many cups of sugar would be needed of only 2 lemons were squeezed?

a)

1/4 cup

b)

1/2 cup

c)

3/4 cup

d)

1 cup

53.

Solve for x

a)

x = 16

b)

x = 28

c)

x = 1/26

d)

x = 26

54.

Solve the proportion:

a)

4

b)

8

c)

14

d)

10

55.

(a)

56.

$\frac{2x}{20\ }=\ \frac{2}{4}$

a)

x= 20

b)

x= 4

c)

x= 5

d)

x = 2

57.

Solve for x

a)

x = 1/6

b)

x = 7

c)

x = 6

d)

x = 9

58.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

59.

Solve for x

a)

1/2

b)

25/8

c)

11

d)

53/4

60.

a)

x = 1/24

b)

x = 29

c)

x = 28

d)

x = 3/2

61.

$Solve.\ \ \frac{3a\ -1}{4}\ =\ \frac{-2a\ +\ 4}{-2}$

ONLY PUT THE NUMBER AS THE ANSWER!

(a)

62.

$\frac{3x}{4}=\frac{1}{8}$

Put just the value of x into the blank.

(a)

63.

$\frac{3x}{4}=\frac{1}{8}$

Put just the value of x into the blank.

(a)

64.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

65.

Solve for n:
2m - n = 8

a)

n = 2m - 8

b)

n = -2m - 8

c)

n = 2m + 8

d)

n = -2m + 8

66.

Solve for x: u = 2x - 2

a)

$x\ =\ u-1$

b)

$x\ =\ \frac{2}{u}\ +2$

c)

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

d)

$x\ =\ \frac{u}{2}+1$

67.

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

a)

a = ukb

b)

a = uk + b

c)

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

d)

$a\ =\ \frac{k}{ub}$

68.

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

a)

$x\ =\ \frac{c+b}{a}$

b)

$x\ =\ \frac{c-b}{a}$

c)

$x\ =\ \frac{a+b}{c}$

d)

$x\ =\ \frac{c+a}{b}$

69.

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

a)

$y=\frac{9+w}{x}$

b)

$y=\frac{9-x}{w}$

c)

$y=\frac{9-w}{x}$

d)

$y=\frac{9+x}{wy}$

70.

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

a)

$r=\frac{t}{d}$

b)

$t\ =\ \frac{d}{r}$

c)

$d=\frac{r}{t}$

d)

$r=\frac{d}{t}$

71.

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

a)

$x=\ \frac{3t+4y}{m}$

b)

$x=\frac{3t-4y}{m}$

c)

$x=\frac{3m-4y}{t}$

d)

$x=\frac{3y+4t}{m}$

72.

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

a)

$l=\frac{Vw}{h}$

b)

$l=\frac{V}{wh}$

c)

$l=\frac{Vh}{w}$

d)

$l=\frac{wh}{V}$

73.

$Solve:\ C=2\pi r,\ for\ r$

a)

$r=\frac{C}{2\pi}$

b)

$r=C+2\pi$

c)

$r=C-2\pi$

d)

$r=2\pi C$

74.

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

a)

$F\ =\ \frac{5}{9}C+32$

b)

$F\ =\ \frac{5}{9}C-32$

c)

$F\ =\ \frac{9}{5}C-32$

d)

$F\ =\ \frac{9}{5}C+32$

75.

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

a)

$6b-6$

b)

$b-6$

c)

$0$

d)

$6$

76.

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

a)

$a=x\left(b+5\right)$

b)

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

c)

$a=\frac{\left(b-5\right)}{x}$

d)

$a=x\left(b-5\right)$

77.

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

a)

$x=\frac{\left(y-b\right)}{m}$

b)

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

c)

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

78.

Solve for x:
ax - b = c+d

a)

x = a(c + d + b)

b)

x = (c + d) / (a-b)

c)

x = a / (c + b + d)

d)

x= (c + b + d)/a

79.

pV = nRT

solve for n

a)

n= pV/RT

b)

n= p/R + V/T

c)

n= pV - RT

d)

n= (pV-R)/T

80.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

81.

Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?

a)

$30

b)

$20

c)

$60

d)

$10

82.

A shop produces 39 wetsuits every 2 weeks. How long will it take the shop to produce 429 wetsuits?

a)

18 wk

b)

20 wk

c)

22 wk

d)

24 wk

83.

The ratio of boys to girls is 3 to 2. If there are 12 boys, how many girls are there?

a)

2

b)

4

c)

6

d)

8

84.

It takes one Super Giant Pizza to feed 3 people. If you invite 36 people, how many pizzas will you need?

a)

3

b)

6

c)

9

d)

12

85.

At a recent party, it cost $9.50 for refreshments for 10 guests. At this rate, how much would it cost to have refreshments for 80 guests?

a)

$760

b)

$76

c)

7600

d)

$76000

86.

Mary had saved $17.50 in the past 3 weeks. At this rate, how much will she save in 15 weeks?

a)

67.50

b)

40.00

c)

87.50

d)

nothing

87.

The park ranger stocks the children's fishing pond keeping a ratio of 4 sunfish to 3 perch. If he puts 300 sunfish into the pond, how many perch should be put into the pond?

a)

400

b)

425

c)

225

d)

525

88.

The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 1,200 people are in line?

a)

120 min

b)

140 min

c)

160 min

d)

180 min

89.

Cary's dad gave her $20.00 to spend on shoes at the mall. Cary spent 85% of the money on one pair of shoes. How much money does Cary's dad get back from his $20.00?

(a)

90.

Thirty percent of 60 students polled said dogs were their favorite pets. How many of the 60 students preferred dogs?

a)

60

b)

30

c)

50

d)

18

e)

90

91.

Of the 520 students in Grady Elementary, 65% ride the bus. How mnay students ride the bus?

a)

338 students

b)

65 students

c)

500 students

d)

585 students

e)

455 students

92.

Hank is buying a shirt that originally cost $25.00. It was on sale two weeks ago for 10% off. Today, it is an additional 20% off the original price. How much is the shirt now?

(a)

93.

Linda started a savings account for her nephew with $3,000. The account earned 5% simple interest annually. How much interest did the account accumulate in 4 months?

a)

$50.00

b)

$600.00

c)

$60,000.00

d)

$4999.95

94.

In a recent U.S. midterm election, 27% of eligible adults voted.

What is 27% written as a decimal?

(a)

95.

36.05% = 0.3605

a)

True

b)

False

96.

Write the shaded portion of the model as a decimal.

a)

0.4

b)

0.5

c)

0.1

d)

0.8

97.

0.066 = 6.6%

a)

True

b)

False

98.

457% = 0.457

a)

True

b)

False

99.

Starting money = $350.
Interest rate = 2.5%
TIme = 3 years.
How much interest?

a)

$7.50

b)

$26.25

c)

$87.5

d)

$262.50

100.

Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?

a)

$150

b)

$192

c)

$1350

d)

$1392

101.

Principal = $800
Interest Rate = 3.5%
Time = 6 months
Find the interest earned.

a)

14

b)

140

c)

168

d)

16.80

102.

In the Daytona 500, out of 30 cars that started the race, 12 of them finished. What percent of the cars finished the race? To word it another way, What percent is 12 cars that finished the race out of 30 cars total that started the race?

a)

20%

b)

40%

c)

60%

d)

80%

103.

Solve the proportion:

a)

c = 4

b)

c = 8

c)

c = 14

d)

c = 10

104.

Solve for x

a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

105.

Solve for k

a)

165

b)

17

c)

1/17

d)

1/165

106.

The pair of figures is similar. Find the missing side.

a)

x = 9

b)

x = 28

c)

x = 7

d)

x = 63

107.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

108.

CHALLENGE! Solve for x. (You will need to set up the proportion, and solve using the distributive property).

a)

x = 4

b)

x = 135

c)

x = 1/4

d)

x = 2

109.

Are the following similar? Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

110.

A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint.

a)

7 in

b)

9 in

c)

12 in

d)

14 in

111.

Which side length corresponds with EF?

a)

ML

b)

LM

c)

OL

d)

EH

112.

Which proportion is true?

a)

$\frac{y}{0.6}=\frac{0.7}{0.56}$

b)

$\frac{y}{x}=\frac{1.25}{1}$

c)

$\frac{x}{1}=\frac{0.5}{1.05}$

d)

$\frac{x}{0.5}=\frac{0.6}{1.25}$

113.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

114.

Solve for x

a)

x = 15

b)

x = 11

c)

x = 1/11

d)

x = 20

115.

Solve the equation for x:

a)

17

b)

16

c)

15

d)

14

116.

There were 5 ice cream cones for every 3 brownies sold at the ice cream shop. If there were 24 brownies sold, how many ice cream cones were sold?

a)

8

b)

15

c)

40

d)

29

117.

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?

a)

20 feet

b)

24 feet

c)

29 feet

d)

51 feet

118.

Solve for x

a)

1/2

b)

25/8

c)

11

d)

53/4

119.

Solve:

a)

-4

b)

10

c)

3

d)

-4

120.

Diana uses 30 grams of coffee beans to make 48 fluid ounces of coffee. When company comes she makes 100 fluid ounces of coffee. How many grams of coffee beans does Diana use when company comes? (Do NOT label your answer.)

(a)

Alg Chpt 2 Review

Total questions: 120

Worksheet time: 8hrs 34mins

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