TEAS - MATHEMATICS

Quotient

Quotient

A result obtained by dividing

A parent plans to divide 8/9 of $27 equally among his four children. How much money will each child receive?

A. $6.75
B. $24
C. $6
D. $96

C. $6

Each child will receive 1/4 or 8/8 of $27:
1/4 x 8/9 x $27 =$6

1/4= 0.25
8/9= 0.888

0.25 x 0.888 x 27 = 5.996 --> $6

A bivariate data set is graphed on a scatter plot. As the independent variables increases, the dependent variables decreases. Which of the following types of correlation, if any, exists between the variables?
A. Positive
B. Negative
C. Positive and negative
D. No correlation

B. Negative correlation

What is 5/6 + 3/4

A. 8/12
B. 8/10
C. 1 9/12
D. 1 7/12

1 7/12

This results from creating equivalent fractions with common denominators and correctly adding the fractions: 10/12 + 9/12 =19/12
This can be simplified to the mixed number 1 7/12

Which of the following fractions represents 5.75 written in simplified fraction form?

A. 575/100
B. 5 7/10
C. 4/23
D. 5 3/4

D. 5 3/4

Using front-end estimation, what is the correct estimation of the sum:

23+33+44+51+31

170

A sales associate at a car dealership makes 12% commission on the selling price of every car she sells. In one morning, she sold two cars worth $4,000 and $7,500. What amount did the sales associate earn off of commission?

$1,380

A baker need 3/4 cup sugar to make 12 brownies. how much sugar does the baker need to make 40 brownies?

A. 2 1/2 cups
B. 2 1/4 cups
C. 3 cups
D. 4 cups

2 1/2 cups

Three students have circular pizza divided into 11 splices of equal size, If they each eat one slice, what fraction of the pizza has been eaten?

3/11

An entrepreneur sells 1/2 of her company to one buyer and 1/6 to another buyer. What percent of the company does she have left?

33 1/3 %

What is the sum of the values below?

413.403, 4.12356, 4193.48, 95.631, 4.1284, 786.47

5, 497.23596

What is the quotient of 0.4375 divided by 0.35?

1.25

Place the values below in order from least to greatest:

-5, -4.99, -5.01, -5.001, -5.1

-5.1, -5.01, -5.001, -5, -4.99

Solve for x:

3(5-2x)= 7- 2(x+3)

7/2

Solve the inequality.
Solve for x:

2(-3 +3x) <3 -4(2x+1)

x < 5/14

Solve for x:

| 2x- 3 | = 3

x= 0,3

The expression inside the absolute value bar should be set to both 3 and -3.

The sum of two unequal numbers is 72, and their difference is 46. What are the two numbers?

59, 13

In a high school of 3,775 students, 40% are girls and the remainder are boys. How many boys and how many girls go to the high school?

1,510 girls; 2,265 boys

A shopper received 25% off of his total purchase, resulting in a discount of $2.25.
What was the original purchase price?

$9.00

If x is the purchase price, then:
25%x = $2.25
0.25x = $2.25
x= $2.25/0.25
x=$9.00

Positive Correlation

Dependent variable increases as independent variable increase.

Negative Correlation

Dependent variable decreases as independent variable increases

The Boeing 707 was Boeing's first jet airliner and was produced beginning in 1958. It covered 2,280 miles in 4 hr, on average. What was its average speed (its average unit rate)?

A. 570 mph
B. 9,120 mph
C. 0.0018 mph
D. 176.75 mph

570 mph

A meteoroid travels at a speed of about 45,000 mph. What is the meteoroid's speed in feet per second? (1 mi = 5,280 feet and 1 hr = 3,600 seconds)

66,000 feet/seconds

Four plus three times a number is twice the number, what is the number?

-4

Let x be the number. Then:
4+3x=2x
3x=2x-4
3x-2x=-4
x=-4

What is the correct symbolic representation from: Thirty less than four times a number is greater than two

4n - 30 > 2

What is the mean of the following numbers:

22, 15, 17, 65, 75, 23

36.17

(22+15+17+65+75+23)/6=217/6=36.17

What is the mode of the following series of numbers?

3, 15, 9, 17, 14, 8, 3, 25, 10, 22

3

The number 3 occurs twice, so it is the mode, because it occurs more often than any other number in the list.

The number of bushels (B) of a crop varies directly as the number of acres (a) of the field in which it is planted. A 3.5-acre plot of land produces 121 bushels of the crop. What is the equation of the variation?

34.57A

The local forecast indicates that tomorrow's temperature will be 35 degrees Celsius. What is the approximate equivalent in degrees of Fahrenheit?

95 degrees Fahreneheit

A shopper at a local grocery store weighs a bag of apples. The weight is 2.4 pounds (Ib). Which of the following is the weight of the apples in ounces (oz)?

38.4 oz

A child weighs 54 pounds (Ib). Which of the following is the appropriate estimate of this child's mass in kilograms (kg)?

25

A student fills a beaker with boiling water and another beaker with ice water. Every minute, the student records the temperature in each beaker.

In order to determine the exact time the temperature in the two beakers will be equal, which of the following graphical representations should the student use to organize the data?

Line graph

Scatterplot

used to display discrete data, which is not appropriate for this situation.

Histogram

a bar graph that is used to display and compare data intervals, which is not appropriate for this situation.

Bar graph

used to display and compare discrete data, which is not appropriate for this situation.

A customer at a restaurant leaves $80 on the table to pay for the food, a 15% tip, and 8% sales tax. If both tip and sales tax were calculated from the cost of the food, which of the following was the cost of the food, rounded to the nearest cent?

$65.04

A jogger on a treadmill is jogging at 5 miles per hour. Which of the following is the time it will take them to jog 1 mile?

12 minutes

How many feet is there per mile

5,280

How many seconds are in an hour

3,600

1 liter =

1,000 mL

Celsius formula

C = 5/9 x (F-32)

Fahrenheit Formula

F = (c x 5/9) + 32

What’s is 32 out of 160 as a percent?

20%

To find this:

(Part/whole) x 100

What is an inequality

anything other than “ = “

ex. >, <

When you divide by a NEGATIVE number in an inequality

the sign flips

Area =

(Pie)r²

(Pie)

3.14

Volume =

(Pie) x r² x h

inversion mutation

15 4 3 2 6

There are approximately 2.54 centimeters in an inch. To the nearest tenth, how many inches are in 35.88 cm?

14.1 in

Solve 5x - 5 - x = 2 (x - 4) + 7 for x.

X = 2

1 mile =1.609 kilometers

5280 ft

Circumference

Pie x diameter

Volume w edge

(Edge)³

Volume rectangular prism

length x weight x height

Volume cylinder

Pie x (radius²) x height