TEAS 7 Math Practice Test With Answers

Question 1

Simplify the expression below. Which of the following is correct?
5,344-57

Accepted Answer

5,287. This can be solved with a calculator or subtraction by regrouping.

Question 2

Solve the equation below. Which of the following is correct?
3(x-4)=18

Accepted Answer

x=10. The correct answer is (D). First divide both sides by 3:

3(x-4)/3=18/3

x-4=18/3

x-4=6

Then solve for x:

x-4=6

x=6+4

x=10

Question 3

The above is known as what type of graph?

Accepted Answer

Scatterplot. The above graph is known as a scatterplot, which is a plot of points on x and y axes. In this case, each point would have an x value equal to the temperature in degrees Celsius, and a y value equal to the amount of money in dollars.

Question 4

Simplify the expression below.
(5x-1)(3x+2)
Which of the following is correct?

Accepted Answer

15×2+7x−2. The “FOIL method” is the easiest way to remember how to multiply two-termed expressions. Multiply the First two terms, then the Outer two terms, then the Inner two terms, and then the Last two terms, then sum all four to arrive at the answer:

15×2+10x-3x-2

=15×2+7x-2

Question 5

Timmy can usually make six paper airplanes in an hour. However, if he gets interrupted by his parents, he can only make four per hour. His friend John can make seven paper airplanes per hour.
One day, Timmy and John decide to have a three-hour long contest to see who can make the most paper airplanes. During the contest, Timmy is interrupted once every hour. John also had to take a break and do chores for an hour. How many more paper airplanes does the winner make?

Accepted Answer

2. Because Timmy is interrupted during each hour, he can only make four paper airplanes per hour, multiplied by 3 hours, for a total of 12 airplanes. John makes seven paper airplanes during the two hours he works without chores, for a total of 14 airplanes. 14 airplanes minus 12 airplanes equals 2.

Question 6

If a car travels 360 kilometers in 5 hours, how far will it travel in 9 hours?

Accepted Answer

648. Given that it took 5 hours to travel 360km, we can set up a ratio equation to figure out how far the car will travel in 9 hours:

360/5=x/9

72=x/9

72*9=x

x=648

Question 7

What degrees Fahrenheit is it at 30 degrees Celsius?
Note: °F=(°C*9/5+32)

Accepted Answer

86. Plug in °C = 30 into the given formula and solve for °F:

°F=(°C*9/5+32)

°F=(30*9/5+32)

°F=54+32

°F=86

Question 8

A toy manufacturer makes 15,000 toys a year. The company randomly selects 300 of the toys to sample for inspection. The company discovers that there are 5 faulty toys in the sample. Based on the sample, how many of the 15,000 total toys are likely to be faulty?

Accepted Answer

250. The sample indicates that 5 out of every 300 randomly selected toys will be faulty. Consequently, a proportion can be set up that relates the unknown number of faulty toys in the total number of toys to the ratio of faulty toys to the sample:

5/300=T/15,000

T is the unknown number of faulty toys in the total. Multiply both sides by 15,000 and then divide the left side by 300 to solve for T:

15,000*5/300=T

50*5/1=T=250

Question 9

At a comic book store, Robert purchased three comics for $2.65 each. If he paid with a $20 bill, how much change did he receive?

Accepted Answer

$12.05. Three comics at $2.65 would equal a total of $7.95. The change would equal:

$20-$7.95=$12.05

Question 10

Simplify the expression below.
7 1/4 x 1/18
Which of the following is correct?

Accepted Answer

29/72. The first step is to convert the mixed fraction 7 1/4 into an improper fraction. To do this:

Multiply the whole number by the denominator.
Add the answer from step 1 to the numerator.
Write the answer from step 2 above the denomintor.
7*4+1=29→29/4

To mulitply fractions simply multiply across the top and the bottom:

29/4*1/18=29*1/4*18=29/72

Question 11

Express 5/8 as its closest rounded percentage.

Accepted Answer

63%. 5 ÷ 8 = 0.625, which equals 62.5%. Rounding up gives us 63%.

Question 12

Amanda wants to paint the walls of a room. She knows that each can of paint contains one gallon. A half gallon will cover a 55 square feet of wall. Each of the four walls is 10 feet high. Two of the walls are 10 feet wide and two of the walls are 15 feet wide. How many 1-gallon buckets of paint does Amanda need to buy in order to fully paint the room?

Accepted Answer

5. First, we must calculate the area of the walls Amanda wants to paint. Two of the walls are 10 x 10 and two of the walls are 10 x 15:
2 (10 x 10) = 200
2 (10 x 15) = 300
So the total square footage of the walls is 500.

If a half gallon of paint will cover 55 square feet, then each gallon will cover 110 square feet. Four gallons would only cover 440 square feet. Five gallons will cover 550 square feet, which will be enough for all 500 square feet of walls.

Question 13

How many millimeters are there in 5 meters?

Accepted Answer

5,000. The prefix “milli—” means one-thousandth. A millimeter is one-thousandth of a meter, which means there are 1,000 millimeters in 1 meter. So there must be 5,000 millimeters in 5 meters.

Question 14

Kyra has a budget of $300 for her holiday spending. Kyra decides to buy shoes for her grandchildren. If each pair of shoes costs $40, and Kyra has n grandchildren, which of the following inequalities represents Kyra’s budget constraint?

Accepted Answer

40n≤300. If Kyra buys n pairs of shoes at a cost of $40 each, she pays $40n. Since she only has $300 to spend, $40n must be less than or equal to $300:

40≤300

Question 15

Simplify the expression below. Which of the following is correct?
2-8÷(24÷2)=

Accepted Answer

1. Remember your order of operations:

Complete operations within parentheses first.
Calculate exponents.
Then multiply and divide in order from left to right.
Then add and subtract in order from left to right.
2-8÷(24÷2)=

2-8÷(16÷2)=

2-8÷8=

2-1=

1

Question 16

Which type of graph would best indicate the percentage of a school’s annual scholarship fund spent on freshman students?

Accepted Answer

pie chart. A pie chart represents percentages of a total, and would thus be the best graphic representation of a budget breakdown.

Question 17

Order the list of numbers below from least to greatest.
-1/4,π,3/8,-0.2
Which of the following is correct?

Accepted Answer

−1/4,−0.2,3/8,π. The smallest number is the greatest negative value:

-1/4(-0.25)

The next smallest is:

-0.2

The largest value is:

π(3.14)

Question 18

Simplify:
(7y2+3xy-9)-(2y2+3xy-5)

Accepted Answer

5y2−4. When subtracting polynomials the first step is to distribute the negative sign through the parentheses. This changes the sign on each term inside the parentheses:

7y2+3xy-9-2y2-3xy+5

Arrange like terms next to each other (optional):

7y2-2y2+3xy-3xy-9+5

Combine like terms to compute the answer:

5y2-4

Question 19

Which of the following is the solution set for the equation below?
|2x-5|=19

Accepted Answer

{−7,12}. Absolute value equations can be rewritten in two ways to solve:

2x-5=19 and 2x-5=-19

Solve both:

2x-5=19

2x=24

x=12

 

2x-5=-19

2x=-14

x=-7

The two solutions are: -7 and 12

Question 20

What is the number a, if the result of adding a to 80 is the same as subtracting 2a from 272.

Accepted Answer

64. State the problem in a mathematical sentence:

a+80=272−2a
a+2a=272−80
3a=192
a=192/3
a=64

TEAS 7 Math Practice Test With Answers

Test Details

What You Train With This TEAS Math Practice Test

Michele J. McCarthy

Olivia B.

Want More TEAS Math Questions?

More TEAS Practice Tests

TEAS 7 Practice Test

TEAS 7 Practice Test 2

TEAS 7 Practice Test 3

TEAS 7 Practice Test 3

TEAS 7 Reading

TEAS 7 Reading

TEAS 7 Reading 2

View Full Library

Common Questions About the TEAS Math Test

What TEAS Math topics should I expect to see most often?

Should I do mental math first or write every step?

What is the fastest way to improve if I keep missing percentage questions?

How do I stop getting tricked by answer choices that are close?

What should I do when a word problem feels long?

If I am slow, how do I build speed without hurting accuracy?

Does this quiz explain answers while I am taking it, or only after I finish?

If I exit mid-quiz, will it save my progress?

Do I need to enter an email to see my full results?

What should I do if the quiz does not load or freezes?