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Quantitative Reasoning - TSI 2 Review

Total questions: 90

Worksheet time: 21hrs 34mins

Name
Class
Date
1.

24=4x\frac{\text{2}}{\text{4}}=\frac{4}{x}  solve

a)

8

b)

4

c)

6

d)

12

2.

58=x16\frac{5}{8}=\frac{x}{16}  

a)

10

b)

12

c)

14

d)

15

3.

x5=2025\frac{x}{5}=\frac{20}{25}  

a)

5

b)

4

c)

3

d)

2

4.

3x=2736\frac{3}{x}=\frac{27}{36}  

a)

2

b)

3

c)

4

d)

5

5.

714=19x\frac{7}{14}=\frac{19}{x}  

a)

35

b)

36

c)

37

d)

38

6.
Which of the following shows the least expensive unit price? 
a)
3 oranges for $1.02
b)
4 oranges for $1.52 
c)
5 oranges for $1.75
d)
6 oranges for $2.46
7.
Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?
a)
$12
b)
$1.50
c)
$3
d)
$1
8.
A 12-ounce bottle of shampoo lasts Enrique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?
a)
24 Weeks
b)
24-ounce bottle
c)
10.6 Weeks
d)
10.6-ounce bottle
9.
About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many computers would you expect to have?
a)
39 Computers
b)
4.3 Homes
c)
39 Homes
d)
4.3 Computers
10.
A rectangular garden is 45 ft wide and 70 ft long. In a drawing, the width is 9 in. Identify the length on the drawing. 
a)
7 in
b)
9 in
c)
12 in
d)
14 in
11.
Will spent $3.75 for 3 pounds of granola. How many pounds of granola can Will buy for $10
a)
8 pounds
b)
7 pounds
c)
6 pounds
d)
9 pounds
12.
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?
a)
87 km
b)
216 km 
c)
33 km
d)
192 km
13.
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
a)
2.5 cups milk
b)
1.75 cups milk
c)
2 cups flour
d)
2.25 cups milk
14.
Walmart has cookies on sale 20 for $3.99 and Walgreens has cookies on sale 36 for $5.99. which is the better buy?
a)
Walmart
b)
Walgreens
15.
If Angel can type 15 words in 10 seconds, how many could he type in 1 minute if he kept up that same pace?
a)
90 words
b)
60 words
c)
75 words
d)
87 words
16.
The currency in Malaysia is the Ringgit. The exchange rate is approximately $1 for every 4 Ringgits. At this rate, how many Ringgits would you get if you exchanged $3?
a)
12
b)
15
c)
20
17.
The money used in Kuwait is called the Dinar. The exchange rate is 1 Dinar to $3. Find how many dollars you would receive if you exchanged 20 Dinars.
a)
25
b)
60
c)
95
18.
One bag of carrots costs $3. How many bags of carrots can you buy for $18?
a)
10
b)
12
c)
6
19.
Danielle used 8 centimeters of tape to wrap 4 presents. How many presents did Danielle wrap if she used 30 centimeters of tape?
a)
15 presents
b)
16 presents
c)
14 presents
d)
13 presents
20.
The corporate team-building event will cost $12 if it has 4 attendees. How many attendees can there be, at most, if the budget for the corporate team-building event is $15?
a)
5 attendees
b)
6 attendees
c)
7 attendees
d)
8 attendees
21.
Farah learned a total of 15 appetizer recipes over the course of 3 weeks of culinary school. After how many weeks of culinary school will Farah know a total of 20 appetizer recipes? 
a)
4 weeks
b)
3 weeks
c)
5 weeks
d)
2 weeks
22.
Sasha jarred 25 liters of jam after 5 days. How much jam did Sasha jar if she spent 7 days making jam?
a)
35 jars
b)
30 jars
c)
25 jars
d)
40 jars
23.
If Emma can buy one cantaloupe for $2, then how many can Mr. Norton buy with $6?
a)
3
b)
5
c)
12
d)
6
24.
If 3 pounds of apples costs $0.90, how much will 10 pounds cost?
a)
$3.00
b)
$2.50
c)
$3.50
d)
$2.25
25.

If y is directly proportional to x, and y is 3 when x is 2, what is the value of x when y is 18?

a)

1/3

b)

15

c)

12

d)

27

26.

If a car travels at an average speed of x miles per hour, how far would the car travel in 75 minutes?

a)

75x/2

b)

5x/4

c)

4x/5

d)

6x/75

27.

A truck is traveling at an average rate of x miles in 1 hour. How far would the truck travel in 90 minutes?

a)

2/3x

b)

3/2x

c)

90x

d)

60x

28.

Given a square has an area of 144 and one side of the square measures 3A. What is the value of A?

a)

6

b)

3

c)

4

d)

5

29.

If y varies directly as y, and x = 3 when y = 24, find y when x = 10.

a)

1.25

b)

8

c)

36

d)

80

30.

If y varies inversely as x, and y = 4.5 when x = 10, find x when y = 5.

a)

1.5

b)

9 <-- this one

c)

15

d)

20

31.

Letty went to the flea market and bought watermelons for 5 dollars and melons for a dollar. If she bought 6 items and spent $18, how many watermelons did she buy?

a)

1

b)

2

c)

3

d)

4

32.

If Mega-man drives a car at average speed of 55 mph (miles per hour), how many minutes will it take him to travel 22 miles?

a)

24

b)

2/5

c)

5/2

d)

20

33.

In 2.3 hours, Jack Sparrow traveled 7.2 miles. How long will it take him to travel 24 miles?

a)

55.2 hours

b)

7.67 hours

c)

3.13 hours

d)

3.33 hours

34.

Ironman was using the scale on a map that says 14 in=5 miles\frac{1}{4}\ in=5\ miles . How many miles is 4 inches on this map?

a)

40 miles

b)

80 miles

c)

60 miles

d)

100 miles

35.

This graph shows Red, Yellow, Blue, and Green shirts sold at a store during the month of June. If the store increased its sale by 50% of the green shirts during July, which is the closest amount of green shirts sold in July?

a)

45

b)

15

c)

30

d)

52

36.

If Kramer drives his car 55 mph for (h) hours and travels (m) miles, which expression is correct?

a)

mh=55mh=55  

b)

m+h=55m+h=55  

c)

mh=55\frac{m}{h}=55  

d)

mh=55m-h=55  

37.

The bar graph shows how many people showed up at a local Applebee's throughout the week. How many more people showed up Wednesday compared to Friday if a total of 1254 people showed up during the week?

a)

120

b)

339

c)

250

d)

421

38.

Joey can eat 3 hamburgers in 1.85 minutes. How long would it take him to eat 11 hamburgers?

a)

7.4 minutes

b)

17.8 minutes

c)

6.7 minutes

d)

20.3 minutes

39.

If a space ship travels x miles per hour, how far will it travel in 90 minutes?

a)

45x45x  

b)

90x90x  

c)

32x\frac{3}{2}x  

d)

23x\frac{2}{3}x  

40.
The sales tax on a new car is $979.60. The car sold for $15,800. What is the sales tax rate? 
a)
5%
b)
0.062
c)
6.2%
d)
62%
41.
A waitress recieved a 15% tip. If her tip was $8.25 how much was the bill?
a)
$1.23
b)
$55
c)
$16.50
d)
$1.24
42.
How much commission would a solesperson earn for selling a $25,000. car? He recieves a 18% commission.
a)
$4500
b)
$45
c)
$29,500
d)
$2500
43.

Convert 20% to a decimal.

a)

.20

b)

20

c)

.002

d)

200

44.
Convert 31% to a decimal.
a)
3.1
b)
0.031
c)
0.31
d)
310
45.

What is 75% of 92?

a)

6.9

b)

.69

c)

69

d)

690

46.

There is a jar of jellybeans on Mr. Schidrich's desk. 40% of the jellybeans are red. If there are 55 jelly beans in the jar, how many are red??

a)

20

b)

22

c)

24

d)

25

47.

What is 9% of 50?

a)

4.5

b)

45

c)

.45

d)

.045

48.

How much commission would a salesperson earn for selling a $25,000. car? He receives a 18% commission.

a)

$4500

b)

$45

c)

$29,500

d)

$2500

49.

7 is _____% out of 20?

a)

7%

b)

35%

c)

80%

50.

How do you find the SALE PRICE?

a)

calculate the discount

b)

original price - discount

c)

original price + tax

d)

original price + discount

51.

Discount is ___________ from the price.

a)

added

b)

multiplied

c)

subtracted

d)

divided

52.

Original: $350

New: $400

a)

14% increase

b)

25% increase

c)

50% increase

d)

.14% increase

53.
The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter? 
a)
35%
b)
25%
c)
30%
d)
20%
54.

The average number of shirts sold in the beach shop was 285 on Saturday in the summer. As the temperature went lower, the average number of shirts decreased to 114 every Saturday. What was the percentage decrease of in the average number of shirts sold in the shop?

a)

60%

b)

40%

c)

150%

d)

171%

55.
Lacey bought a new purse that originally cost $25 and is on sale for $15. Find the percent of change in the price in the purse.
a)
Decrease of 40%
b)
Decrease of 10%
c)
Decrease of 30%
d)
Decrease of 20%
56.

Gabe scored a 70 on his first test. On the retake he scored an 88. What is the percent increase?

a)

25.7%

b)

18%

c)

20.5%

d)

22%

57.

Original: 80

New: 52

a)

35% decrease

b)

35% increase

c)

28% decrease

d)

28% increase

58.

Target is having 15% off everything. You have an extra $5 coupon. Which expression is your cost, if the item cost is x?

a)

.15x

b)

.85x-5

c)

.15x-5

d)

.85x+5

59.

Best Buy is having 25% off everything. You have an extra $8 coupon. Which expression is your cost, if the item cost is x?

a)

.25x

b)

25x+8

c)

.75x-8

d)

.75x+8

60.

If a computer at Best Buy is 22% off the original price. What is the sale price of this computer(c)? NOTE: you must also know how to find the DISCOUNT price and know the difference between sales price and discount price.

a)

.78c

b)

.22c

c)

.58c

d)

c - .22

61.

If the PS5 is 15% off the original price, what is the sale price in terms of p? (choose all that apply)

a)

.15p.15p  

b)

1.15p1-.15p  

c)

.45p.45p  

d)

.85p.85p  

62.

Best Buy is discounting an ipad (i) by 15% and you have an $8 coupon. How much do you pay after the discount and coupon have been applied?

a)

i(.15i8)i-\left(.15i-8\right)  

b)

.15i+8.15i+8  

c)

.15i8.15i-8  

d)

i(.15i+8)i-\left(.15i+8\right)  

63.

If a space ship travels x miles per hour, how far will it travel in 90 minutes?

a)

45x45x  

b)

90x90x  

c)

32x\frac{3}{2}x  

d)

23x\frac{2}{3}x  

64.

The new wireless headphones cost $280 at Target. However, they sold out everywhere. Now they're back in stock but now they're increased by 20%. What's the new price? (Note you should know how to solve this if asked for a decrease).

a)

$300

b)

$336

c)

$224

d)

$320

65.
What is the x-intercept shown on the graph?
a)
(2, 0)
b)
(-2, 0)
c)
(0, 3)
d)
(3, 0)
66.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
67.
What is the x-intercept of the equation?
y = 3x - 12
a)
x = 3 or (3, 0)
b)
x = 4 or (4, 0)
c)
x = 1 or (1, 0)
d)
x = -12 or (-12, 0)
68.
Give the y-interecept
5x + y = 5
a)
(1,0)
b)
(0,5)
c)
(5,0)
d)
(0,1)
69.
What is the y-intercept?
a)
-1
b)
3
c)
-3
d)
-2
70.
What is the y-intercept?
a)
2
b)
3
c)
4
d)
-3
71.
What is the y-intercept?
a)
9
b)
2
c)
7
d)
3
72.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
-5
73.

Find the point for the y-intercept.
a)
(2,0)
b)
(0,2)
c)
(0,-2)
d)
(-2, 0)
74.
True or false:
The x-intercept of a function ALWAYS occurs where y is equal to zero.
a)
True
b)
False
75.
True or false:
The y-intercept of a function ALWAYS occurs where y is equal to zero.
a)
True
b)
False
76.
What is the x-intercept?
a)
12
b)
-3
c)
8
d)
0
77.

What is the y-intercept?

a)

12

b)

-3

c)

8

d)

0

78.
What is the x and y intercept for the following equation ?
4x - 10y = 20
a)
x - int = 4    
y-int = -10
b)
x-int = 5
y-int = 2
c)
x - int = 5
y int = -2
d)
x -int = 4
y -int = -10
79.
What is the x-intercept of the equation?
-x + 5y = 45
a)
x = 45 or (45, 0)
b)
x = -1 or (-1, 0)
c)
x = -45 or (-45, 0)
d)
None of these.
80.
What is the x-intercept of the equation?
3x - 3y = 21
a)
x = 7 or (7, 0)
b)
x = 3 or (3, 0)
c)
x = -7 or (-7, 0)
d)
None of these.
81.
What is the x-intercept of the equation?
-x + 5y = 45
a)
x = 45 or (45, 0)
b)
x = -1 or (-1, 0)
c)
x = -45 or (-45, 0)
d)
None of these.
82.
What is the y-intercept of the equation?
-x + 5y = 45
a)
y = 9 or (0, 9)
b)
y = 5 or (0, 5)
c)
y = -9 or (0, -9)
d)
None of these.
83.
What is the x-intercept of the equation?
y = 3x - 12
a)
x = 3 or (3, 0)
b)
x = 4 or (4, 0)
c)
x = 1 or (1, 0)
d)
x = -12 or (-12, 0)
84.

There are 600 bananas. How many more Pineapples are there than peaches?

a)

400

b)

200

c)

100

d)

150

85.

There are 200 peaches. How many oranges are there?

a)

230

b)

260

c)

130

d)

360

86.

If there are 2500 skittles in the super enormous gargantuan size bag, what is the difference between green and yellow skittles?

a)

453

b)

234

c)

925

d)

325

87.

The circle graph shown shows the results of a survey about favorite pizza toppings for people living in the United States. If this survey included 2,500 people, how many people said cheese is their favorite topping? (hint: multiply the percent by the number of people!!)

a)

100 people

b)

625 people

c)

10,000 people

d)

1,250 people

88.

If this survey included 2,500 people, how many people said they like sausage on their pizza?

a)

625 people

b)

375 people

c)

167 people

d)

16,600 people

89.

If this survey included 2,500 people, how many people said they like supreme pizza?

a)

250 people

b)

25,000 people

c)

625 people

d)

375 people

90.

If this survey included 2,500 people, how many people said they like to have pepperoni pizza?

a)

1,250 people

b)

625 people

c)

250 people

d)

375 people