Quiz about TSI Math - Review

Question 1

If there are 2.2 pounds in 1 kilogram, how many pounds are there in x kilograms?

Accepted Answer

$$2.2x$$

Answer

$$\frac{x}{2.2}$$

Answer

$$2.2+x$$

Answer

$$\frac{2.2}{x}$$

Question 2

The bar graph shows the number of customers who shopped at a store Monday through Thursday of one week. If the number of customers on Friday was a one-fifth increase from the number of customers on Thursday, how many customers shopped at the store on Friday?

Accepted Answer

$$480$$

Answer

$$500$$

Answer

$$525$$

Answer

$$600$$

Question 3

Last year a bakery sold w loaves of bread. This year the bakery sold three more than twice the number of loaves of bread sold last year. If, next year, the bakery plans on selling twice the number of loaves of bread sold this year, how many loaves of bread does the bakery expect to sell next year?

Accepted Answer

$$4w+6$$

Answer

$$2w$$

Answer

$$2w+3$$

Answer

$$4w+3$$

Question 4

If $$7p-4=8$$ , what is the value of $$p$$ ?

Accepted Answer

$$\frac{12}{7}$$

Answer

$$\frac{4}{7}$$

Answer

$$\frac{7}{12}$$

Answer

$$\frac{7}{4}$$

Question 5

Running at an average rate of 6 miles per hour, how many minutes would it take Kyle to run 3 miles?

Accepted Answer

$$30$$

Answer

$$18$$

Answer

$$40$$

Answer

$$45$$

Question 6

The dot plot identifies the number of pets living with each of 20 families in an apartment building. What fraction of the families have more than 2 pets?

Accepted Answer

$$\frac{1}{5}$$

Answer

$$\frac{3}{20}$$

Answer

$$\frac{1}{4}$$

Answer

$$\frac{9}{20}$$

Question 7

The formula for the volume of the right circular cylinder is $$V=\pi r^2h$$ . If $$r=2b$$ and $$h=5b+3$$ , what is the volume of the cylinder in terms of $$b$$ ?

Accepted Answer

$$20\pi b^3+12\pi b^2$$

Answer

$$10\pi b^2+6\pi b$$

Answer

$$20\pi^2b^3+12\pi^2b^2$$

Answer

$$50\pi b^3+20\pi b^2+90\pi b$$

Question 8

Richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost?

Accepted Answer

$5.25

Answer

$3.25

Answer

$7.75

Answer

$17.25

Question 9

If $$5c-2=3c$$ , then $$24c$$ = ?

Accepted Answer

24

Answer

6

Answer

18

Answer

16

Question 10

In the xy-plane, the slope of the line $$y=mx-4$$ is less than the slope of the line $$y=x-4$$ . Which of the following must be true about $$m$$ ?

Accepted Answer

$$m<1$$

Answer

$$m=-1$$

Answer

$$m=1$$

Answer

$$m>1$$

Question 11

A history class is made up of 12 tenth graders and 9 eleventh graders. The tenth graders averaged 77 on the midterm exam, and the eleventh graders averaged 91 on the midterm exam. What was the average grade on the midterm exam for the entire class?

Accepted Answer

83

Answer

82

Answer

84

Answer

85

Question 12

Reyna has 5 coins worth 10 cents each and 4 coins worth 25 cents each. If she chooses two of these coins at random, what is the probability that the two coins combined will be worth at least 35 cents?

Accepted Answer

$$\frac{13}{18}$$

Answer

$$\frac{5}{18}$$

Answer

$$\frac{5}{9}$$

Answer

$$\frac{71}{72}$$

Question 13

In the xy-plane, what is the y-intercept of the graph of the equation $$y=6\left(x-\frac{1}{2}\right)\left(x+3\right)$$ ?

Accepted Answer

$$-9$$

Answer

$$-\frac{1}{2}$$

Answer

$$3$$

Answer

$$9$$

Question 14

The area of the triangle is 21 square units. What is the value of x?

Accepted Answer

6

Answer

3

Answer

7

Answer

11

Question 15

Which of the following is not equivalent to $$\left(3x-12\right)\left(x+4\right)$$ ?

Accepted Answer

$$3\left(x^2-8x+16\right)$$

Answer

$$3\left(x^2-16\right)$$

Answer

$$3x^2-48$$

Answer

$$3x\left(x+4\right)-12\left(x+4\right)$$

Question 16

If the cost of carpeting a floor is $2.50 per square foot, how much will it cost to carpet a rectangular floor that is 10 feet by 12 feet?

Accepted Answer

$300.00

Answer

$112.00

Answer

$120.00

Answer

$250.00

Question 17

If n is the least of two consecutive odd integers, which of the following represents the sum of the two integers?

Accepted Answer

$$2n+2$$

Answer

$$n+1$$

Answer

$$n+2$$

Answer

$$2n+1$$

Question 18

$$\left(\frac{x^{-5}y}{y^3}\right)^{-1\ }=$$

Accepted Answer

$$x^5y^2$$

Answer

$$\frac{x^5}{y^2}$$

Answer

$$\frac{y^2}{x^5}$$

Answer

$$x^5y^{-3}$$

Question 19

For which of the following values of x is the function $$f\left(x\right)=\sqrt[]{4-x^2}$$ NOT defined as a real number?

Accepted Answer

$$4$$

Answer

$$-2$$

Answer

$$0$$

Answer

$$2$$

Question 20

Under ideal conditions, the population of a certain species doubles every nine years. If the population started with 100 individuals, which of the following expressions gives the population of the species t years after the population started , assuming that the population has been living under ideal conditions?

Accepted Answer

$$100x2^{\frac{t}{9}}$$

Answer

$$2x100^{9t}$$

Answer

$$2x100^{\frac{t}{9}}$$

Answer

$$100x2^{9t}$$

Question 21

Bill's new porch is rectangular and has an area of 50 square feet. If the length of the porch is two times the width, what is the perimeter of the porch?

Accepted Answer

30 feet

Answer

40 feet

Answer

50 feet

Answer

60 feet

Question 22

What is the probability of selecting a male from a group of 4 males and 8 females?

Accepted Answer

$$\frac{1}{3}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{2}{3}$$

Answer

$$\frac{4}{5}$$

Question 23

Solve for x.

$$3\left(x+1\right)=5\left(x-2\right)+7$$

Accepted Answer

$$3$$

Answer

$$-2$$

Answer

$$2$$

Answer

$$\frac{1}{2}$$

Question 24

Line A passes through the point $$\left(-1,2\right)$$ . Which of the following CANNOT be the equation of Line A?

Accepted Answer

$$y=x+1$$

Answer

$$y=1-x$$

Answer

$$x=-1$$

Answer

$$y=x+3$$

Question 25

Diego's current age is five times Martina's age ten years ago. If Martina is currently m years old, what is Diego's current age in terms of m?

Accepted Answer

$$5m-50$$

Answer

$$5m$$

Answer

$$5m-10$$

Answer

$$5m+\left(m-10\right)$$

Question 26

If $$2x+5=8x$$ , then $$12x$$ =?

Accepted Answer

10

Answer

5

Answer

15

Answer

20

Question 27

An airline asked its agents to assign convenience ratings on a scale of 1-7 to 114 flights leaving one of its hub cities. The histogram shows the distribution of the ratings of the 114 flights. What is the median rating assigned by the agents?

Accepted Answer

5

Answer

3

Answer

4

Answer

6

Question 28

What is the value of x in the following equation?

$$\sqrt[]{2x}=4$$

Accepted Answer

8

Answer

1

Answer

4

Answer

16

Question 29

The market price of a house is directly proportional to the total area of the house in square feet. If the price of 1,500 square foot home is $300,000, what is the price of a 2,000 square foot home?

Accepted Answer

$400,000

Answer

$350,000

Answer

$450,000

Answer

$500,000

Question 30

Find the x-intercept of a line that has the following equation:

$$2y=3x-6$$

Accepted Answer

2

Answer

$$-2$$

Answer

$$-1$$

Answer

1

Question 31

There are 80 students in a school. Every student is taking either algebra or pre-calculus, and some students are taking both. There are 60 students in the algebra class. If 15 students are taking both algebra and pre-calculus, what is the probability that a randomly selected student is taking pre-calculus but not algebra?

Accepted Answer

$$\frac{1}{4}$$

Answer

$$\frac{1}{3}$$

Answer

$$\frac{3}{8}$$

Answer

$$\frac{3}{4}$$

Question 32

What are the solutions to the following equation?

$$x^2+8x+15=0$$

Accepted Answer

-3 and -5

Answer

2 and 3

Answer

3 and 5

Answer

-2 and -3

Question 33

Solve.

$$\sqrt[]{5}\sqrt[]{3}$$

Accepted Answer

$$\sqrt[]{15}$$

Answer

$$\sqrt[]{2}$$

Answer

$$\sqrt[]{8}$$

Answer

$$8$$

Question 34

An office supply superstore sells pens for 60 cents each and pencils for 40 cents each. Diane purchased a total of 17 items (pens and pencils) for $8.20. How many pens did Diane purchase?

Accepted Answer

7

Answer

5

Answer

10

Answer

12

Question 35

The points represented by the (x,y) coordinate pairs in the table all lie on Line k. What is the slope of Line k?

Accepted Answer

-2

Answer

-3

Answer

2

Answer

5

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