TEAS - MATHEMATICS (tb)

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.

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

Using front-end estimation, what is the correct estimation of the sum: 23+33+44+51+31

170

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

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.

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

Negative Correlation

Dependent variable decreases as independent variable increases

Positive Correlation

Dependent variable increases as independent variable increase.

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? A. 8/11 B. 3/11 C. 3/8 D. 5/8

B. 3/11 The number of slices eaten should be in the numerator, and the total number of slices should be in the denominator. 8/11 is the fraction of the pizza that has not been eaten.

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

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? A. B=0.0289A B. B=34.57A C. B=423.5A D. B=124.5A

B=34.57A B=kA 121=3.5k k= 34.57 B=34.57A

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 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

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

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

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

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

What is the quotient of 0.4375 divided by 0.35?

1.25 Long Division: ______1.25_____ 0.35 | 0.4375 -35 __________ 87 -70 __________ =175

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

A drink recipe calls for 2 L pink lemonade, 1 L cranberry juice, and 1.5 L lemon-lime soda. How many mL of the drink would this recipe make once the three liquids are mixed together?

4, 500mL This is the result of correctly finding the sum of all liquids in the drink recipe, then using the correct conversion rate from L to mL: 1,000mL = 1L

The dimensions of a living room are 18 feet by 24.5 feet. If the dimensions of the room are rounded to the nearest whole foot, what would be the best estimate for the area of the root?

450 ft^2 --> 2 is squared This is the result of correctly rounding 24.5 feet to 25 feet and then multiplying by 18 feet: 25 ft x 18 ft: 450ft^2

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

4n - 30 > 2

What is the sum of the values below? 413.403, 4.12356, 4193.48, 95.631, 4.1284, 786.47

5, 497.23596

Place the following values in decreasing order -12, radical 7, 5.3 (three with - over it), -7/3, -radical 14, 4 2/3

5.3 (three with line over it), 4 2/3, radical 7, -7/3, - radical 14, -12

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

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

59, 13

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

Solve for x: 3(5-2x)= 7- 2(x+3)

7/2

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

Quotient

A result obtained by dividing

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? A. 33 1/3% B. 8 1/3% C. 92% D. 66 2/3$

A. 33 1/3 First, find the percent sold to each buyer: 1/2 = 50% 1/6 = 16 2/3% Then, add these figures to find the total percent of the company that was sold (x): x = 50% + 16 2/3% x = 50% + 16% = 2/3% x = 66 2/3% Then, subtract from 100% to find the percent left (y): y = 100% = 66 2/3% y = 100% - (66% + 2/3%) y = 100% - 66% - 2/3% y = 34% - 2/3%