math praxis two

9. Justine bought 6 yards of fabric to make some curtains, but she only used 4 5/8 yards. What fraction of the original fabric does she have left?

1 3/8

A car traveled at 65 miles per hour for 1 1/2 hours and then traveled at 50 miles per hour for 2(1/2) hours. How many miles did the car travel?

222.5

Allison used 2 1/2 cups of flour to make a cake and 3/4 of a cup of flour to make a pie. If she started with 4 cups of flour, how many cups of flour does she have left?

3/4 cups

4/5 −1/3 = A. 3/8 B. 7/15 C. 1/2 D. 12/15 E. 3/2

B

The mean of 13 numbers is 30. If the mean of 8 of these numbers is 42, what is the mean of the other 5 numbers? A. 5.5 B. 10.8 C. 16.4 D. 21.2 E. 30.0

B

. Solve the following equation for y: 3(2y + 1) + 3 = 4(y - 2) A. -7 B. -6 C. -1 D. 7 E. 14

a

A cyclist is moving down the sidewalk at 15 feet per second. What is his approximate speed in miles per hour? A. 10.2 mph B. 15.9 mph C. 17.1 mph D. 22 mph E. 30.7 mph

a

In the sequence below, each term is found by finding the difference between the previous two numbers and multiplying the result by −3. What is the 6th term of the sequence? {3, 0, 9, −27, ... } A. −405 B. −135 C. 45 D. 81 E. 135

a

Kendrick has $2386.52 in his checking account. If he pays $792.00 for rent, $84.63 for groceries, and $112.15 for his car insurance, how much money will he have left in his account? A. $1397.74 B. $1482.37 C. $1509.89 D. $2189.22 E. $3375.30

a

Solve the following equation for x: 6x - 7 = 5(2x + 1) A. -3 B. -2 C. 3 D. 4 E. 5

a

The ratio of nurses to doctors in a hospital unit is 3:1. Which of the following could be the total number of nurses and doctors in the unit? A. 28 B. 30 C. 31 D. 34 E. 38

a

Which expression below is equivalent to 10x + 4? Select all that are equivalent. A. 4 + 10x B. 2(8x + 7) - 5 C. 2(5x + 2) D. 7x + 10 - 3x - 6 E. 6x + 7 + 4x - 3

a, c, e

A 10 L container will hold how much more liquid than a 2 gallon container? (1 gal = 3.785 L) A. 2.00 L B. 2.43 L C. 6.22 L D. 8.00 L E. 9.47 L

b

A group of 20 friends is planning a road trip. They have 3 cars that seat 4 people, 3 cars that seat 5 people, and 1 car that seats 6 people. What is the fewest number of cars they can take on the trip if each person needs his or her own seat? A. 3 cars B. 4 cars C. 5 cars D. 6 cars E. 7 cars

b

Adam is painting the outside of a four-walled shed. The shed is 5 feet wide, 4 feet deep, and 7 feet high. How many square feet of paint will Adam need to paint the four sides of the shed? A. 80 B. 126 C. 140 D. 252 E. 560

b

At the grocery store, apples cost $1.89 per pound and oranges cost $2.19 per pound. How much would it cost to purchase 2 pounds of apples and 1.5 pounds of oranges? A. $6.62 B. $7.07 C. $7.14 D. $7.22 E. $7.67

b

If 4x = 3, what is the value of 8x? A. 0.75 B. 6 C. 12 D. 24 E. 32

b

Justin has a summer lawn care business and earns $40 for each lawn he mows. He also pays $35 per week in business expenses. Which of the following expressions represents Justin's profit after x weeks if he mows m number of lawns? A. 40m − 35x B. 40m + 35x C. 35x(40 + m) D. 35(40m + x) E. 40x(35 + m)

b

Rectangular water tank A is 5 feet long, 10 feet wide, and 4 feet tall. Rectangular tank B is 5 feet long, 5 feet wide, and 4 feet tall. If the same amount of water is poured into both tanks and the height of the water in tank A is 1 foot, how high will the water be in tank B? A. 1 foot B. 2 feet C. 3 feet D. 4 feet E. 5 feet

b

The line of best fit is calculated for a data set that tracks the number of miles that passenger cars traveled annually in the US from 1960 to 2010. In the model, x = 0 represents the year 1960, and y is the number of miles traveled in billions. If the line of best fit is y = 0.0293x + 0.563, approximately how many additional miles were traveled for every 5 years that passed? A. 0.0293 billion B. 0.1465 billion C. 0.5630 billion D. 0.7100 billion E. 2.9615 billion

b

What is the greatest common factor of 45 and 22? A. 0 B. 1 C. 2 D. 9 E. 11

b

If a student answers 129 out of 150 questions correctly on a quiz, what percentage of questions did she answer incorrectly? A. 10% B. 12% C. 14% D. 15% E. 17%

c

In the fall, 425 students pass the math benchmark. In the spring, 680 students pass the same benchmark. What is the percentage increase in passing scores from fall to spring? A. 37.5% B. 55% C. 60% D. 62.5% E. 80%

c

The formula for distance is d = v × t, where v is the object's velocity and t is the time. How long will it take a plane to fly 4000 miles from Chicago to London if the plane flies at a constant rate of 500 mph? A. 0.125 hours B. 3.5 hours C. 8 hours D. 20 hours E. 45 hours

c

The population of a town was 7250 in 2014 and 7375 in 2015. What was the percent increase from 2014 to 2015 to the nearest tenth of a percent? A. 1.5% B. 1.6% C. 1.7% D. 1.8% E. 2.0%

c

Which number has the greatest value? A. 9299 ones B. 903 tens C. 93 hundreds D. 9 thousands E. 9 thousandths

c

Which of the following is the y-intercept of the line whose equation is 7y − 42x + 7 = 0? A. (1/6, 0) B. (6, 0) C. (0, −1) D. (−1, 0) E. (0, 6)

c

. If the volume of a cube is 343 cubic meters, what is the cube's surface area? A. 49 m2 B. 84 m2 C. 196 m2 D. 294 m2 E. 343 m

d

30, 27, 24, 21, . . . Which of the following sequences follows the same rule as the sequence above? A. 41, 39, 37, 35 , . . . B. 41, 44, 47, 50, . . . C. 41, 37, 33, 29, . . . D. 41, 38, 35, 32, . . . E. 41, 27, 24, 21, . . .

d

An ice chest contains 24 sodas, some regular and some diet. The ratio of diet soda to regular soda is 1:3. How many regular sodas are there in the ice chest? A. 1 B. 4 C. 6 D. 18 E. 24d

d

If a car uses 8 gallons of gas to travel 650 miles, how many miles can it travel using 12 gallons of gas? A. 870 miles B. 895 miles C. 915 miles D. 975 miles E. 1025 miles

d

What is the median of all the even integers greater than 10 and less than 25? A. 12 B. 14 C. 16 D. 18 E. 20

d

If a + b is an even number, then both a and b must be even. Which of the following statements is a counterexample to the statement above? A. 2 + 3 = 5 B. 6 + 9 = 15 C. 7 + 3 = 10 D. 10 + 14 = 24 E. 17 + 15 = 32

e

Points W, X, Y, and Z lie on a circle with center A. If the diameter of the circle is 75, what is the sum of AW, AX, AY, and AZ? A. 75 B. 100 C. 125 D. 300 E. 150

e