Praxis Core - MATH (5732)

At Alan's Produce, all produce is 20% off on Tuesdays. If a head of lettuce is normally $2.50, how much would it cost on Tuesday? A. $2.00 B. $2.25 C. $2.75 D. $1.75 E. $1.80

A. $2.00

Simplify the expression below: 5 (3z - 7z + 4) A. -20z + 20 B. 50z + 20 C. -4z + 9 D. -50z + 20 E. 20z + 20

A. -20z + 20

Joe, a custom automotive painter, works eight hours per day, Monday through Friday, and paints approximately one car every four hours. How many cars would he paint in a typical work week? A. 10 B. 40 C. 5 D. 12 E. 18

A. 10

A bag of assorted candy contains 11 peppermints, 8 chocolates, 13 gumdrops, and 9 licorices. Amy randomly takes a gumdrop from the bag and eats it. What is the probability that the next candy she takes from the bag will be a gumdrop or a peppermint? A. 23/40 B. 13/20 C. 24/41 D. 1/3 E. 1/5

A. 23/40

Determine the mode for the following set of numbers. 24, 32, 44, 32, 16, 24, 50, 24 A. 24 B. 28 C. 30.75 D. 31.75 E. 32

A. 24

The triangle inscribed within square ABCD has, as its base, side AD, and has a height of 6 cm. If the area of the triangle is 21 cm2, what is the area of the shaded region? A. 28 cm^2 B. 22 cm^2 C. 18 cm^2 D. 21 cm^2 E. 25 cm^2

A. 28 cm^2

Which of the following number sequences could be produced by the expression 2x+x^2 if a series of natural numbers in increasing order were substituted for x? A. 3, 8, 15, 24 B. 1, 3, 5, 7 C. 1, -1, -3, -5 D. 2, 7, 14, 21 E. 7, 14, 21, 28

A. 3, 8, 15, 24

Erin starts with the number 4, adds -3, then subtracts -4. What is the result? A. 5 B. 3 C. -7 D. -3 E. 11

A. 5

Anne wants to tie a support line from the top of a 50 foot radio tower to an anchor spot 30 feet from the tower's base. Approximately how long will the line need to be? A. 58.3 feet B. 12 feet C. 64 feet D. 52.6 feet E. 85.2 feet

A. 58.3

Jill decides to move her fish from a 20 gallon aquarium to a 50 gallon aquarium. She added 3 tablespoons of salt to her old aquarium. If she wishes to maintain to same salinity level, how many tablespoons should she add to her new aquarium? A. 7 1/2 B. 8 1/2 C. 6 D. 3 E. 10 1/2

A. 7 1/2

Jane is thinking of a number between -10 and 10. If you multiply Jane's number by -2, then subtract 2, the result is greater than 6. Which of the following statements must also be true? A. Jane's number is less than -4. B. Jane's number is greater than -4. C. Jane's number is greater than 2. D. Jane's number is less than -2. E. Jane's number is 0.

A. Jane's number is less than -4

Use the table below to answer the question that follows. According to the table above, which of the following statements is true of robberies in 2007? A. New York had more robberies than Los Angeles. B. San Antonio had more robberies than Phoenix. C. San Jose had the most robberies of the cities listed. D. Dallas had 583 total robberies. E. Philadelphia is the safest city in America.

A. New York had more robberies than Los Angeles.

Lisa is a manager at a thriving marketing company. Her boss recently gave her authorization to increase her department's yearly party planning budget by 25% bringing it to $1,500. What was the department's party planning budget prior to the increase? A. $1,250 B. $1,200 C. $1,125 D. $1,100 E. $1,050

B. $1,200

What is the difference between the sum of the following set of numbers estimated to the nearest tenth and the exact sum? 42.45 + 1.6 + 6.48 + 19 + 25.52 A. 95.1 B. 0.05 C. 73 D. 0.13 E. 27

B. 0.05

Use the graph below to answer the question that follows. A Net Income ($Millions) graph bar with the graph indicating: 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, & 2008 The graph above shows the net income of Chase Bank from the year 2000 to the year 2008. In which year did Chase Bank experience the greatest ratio of improvement over the previous year? A. 2002 B. 2003 C. 2006 D. 2007 E. 2008

B. 2003

Shamus can paint the barn in 6 hours, and Ishmael can paint the barn in 7 hours. How long will it take them to paint the barn together? A. 6 1/2 hours B. 3 3/13 hours C. 3 2/9 hours D. 7 hours E. 1 1/2 hours

B. 3 3/13 hours

What is the correct expression of 34,000 x 96,000 using scientific notation? A. 4.735 x 8^7 B. 3.264 x 10^9 C. 3,264 x 10^6 D. 3.264 x 10^8 E. 4.735 x 10^−7

B. 3.264 x 10^9

The chart below shows the relationship between two values, X and Y. X: 1,2,3,4,5,6 Y: 1.5, 3,___, 6,7.5, 9 A. 5 B. 4.5 C. 3.5 D. 3 E. 6

B. 4.5

What is the lowest common denominator for the three fractions listed below? `1/5, 1/8, 1/10` A. 1 B. 40 C. 80 D. 200 E. 400

B. 40

In the illustration below, line CD and line EF are parallel, and both are bisected by line GH. Two horizontal lines, Line CD and line EF, are parallel to one another. They are both bisected by a diagonal line, Line GH, creating angles A (along line CD) and angle B (along line EF). If the measurement of angle A is 125∘125∘, what is the measurement of angle B? A. 125 B. 55 C. 40 D. √125 E. 90

B. 55

If Kenny lifts a box that weighs 6.4 kg, how many grams is he lifting? A. 640 grams B. 6,400 grams C. 64,000 grams D. 64 grams E. 640,000 grams

B. 6,400 grams

Mike asks Billy to help him run his lemonade stand. He'll either pay him 2/5 of 1/2 of the stand's profits, or 1/3 of 3/4 of the stand's profits. Which should Billy choose to maximize the amount he will earn, and by what amount will his earnings be increased? A. Billy should choose 1/3 of 3/4; he'll earn 1/15 more. B. Billy should choose 1/3 of 3/4; he'll earn 1/20 more. C. Billy should choose 2/5 of 1/2; he'll earn 1/15 more. D. Billy should choose 2/5 of 1/2; he'll earn 1/20 more. E. It doesn't matter; either way, Billy will earn exactly the same amount.

B. Billy should choose 1/3 of 3/4; he'll earn 1/20 more.

2x - 10 = 3x + 4x Which of the following are logical steps and correct reasoning that could be used in solving for x in the above equation? Indicate all answers that include logical steps AND correct reasoning. A. Divide both sides of the equation by 2x in order to isolate x on one side of the equation. B. Subtract 2x from both sides of the equation in order to isolate x on one side of the equation. C. Subtract 3x from both sides of the equation because this will keep the equation balanced. D. Add 3x and 4x because combining these "like terms" helps to simplify the equation. E. Subtract 2x from both sides of the equation because it is always best to eliminate variables from the left side of an equation.

B. Subtract 2x from both sides of the equation in order to isolate x on one side of the equation. & D. Add 3x and 4x because combining these "like terms" helps to simplify the equation.

If any integer value of x greater than 2 is input into each of the functions below, which will produce the largest output? A. f(x) = 2x + 3 B. f(x)=x^2+3 C. f(x) = 3x + 2 D. f(x) = x + 8 E. f(x) = 4x - 9

B. f(x)=x^2+3

Which of the following series of shapes in an example of a turn transformation? A. orange and yellow triangle pointing to the right direction B. orange triangle pointing right and yellow triangle pointing down. C. orange triangle pointing right and yellow triangle flipped upside down D. orange triangle pointing right and yellow triangle below pointing right E. orange triangle pointing right and yellow triangle pointing left

B. orange triangle pointing right and yellow triangle pointing down.

Which of the following values would be considered irrational? Mark all that apply. A. 7 B. ‾√2 C. 5454 D. π E. -27

B. ‾√2 & D. π

Mary works 39 hours a week and gets paid $9.25 per hour. She receives a raise, and now gets paid $390 per week. By how much did her weekly pay increase? A. $200 B. $22.50 C. $29.25 D. $17.50 E. $380.75

C. $29.25

Which of the following is ANOTHER way to express the expression below? [4(17) + 3(25)] x 5 A. [7(38)] x 5 B. [12(425)] x 5 C. 20(17) + 15(25) D. 5/4(17)-3(25) E. 20(85) + 15(125)

C. 20(17) + 15(25)

At the end of a factory assembly line, completed widgets are deposited into a box until it is filled. If after 10 minutes the box contains 25 widgets and it takes 2 hours total to fill up a box, how many widgets must each box hold? A. 48 widgets B. 75 widgets C. 300 widgets D. 350 widgets E. 500 widgets

C. 300 widgets

What is 317.93371 rounded to the nearest hundredth? A. 317.94 B. 317.934 C. 317.93 D. 317.9 E. 318

C. 317.93

When playing their favorite video game "Space Attack", Bobby scored 139,750 points, while Alex scored 99,190 points. Which of the following is the best estimate of how many more points Bobby scored than Alex? A. 410,000 points B. 59,000 points C. 41,000 points D. 5,900 points E. 4,100 points

C. 41,000 points

Which of the following are not prime factors of 504? Indicate all such values. A. 2 B. 3 C. 5 D. 7 E. 6

C. 5 & E.6

Use the plot below to answer the question that follows: Stem: 0, 2, 3, 4,6 Leaf: 2,6,7 , 1,9 , _____ , 4,5 , 8 There are 10 people sitting around a table at a family reunion. Their ages are 35, 2, 44, 36, 6, 7, 21, 68, 45, and 29. Based on this information, fill in the blank from the stem-and-leaf plot above: A. 2, 3 B. 5 C. 5, 6 D. 8 E. 2, 5, 8

C. 5, 6

Use the diagram below to answer the question that follows. Approximately how far would a hiker travel if she traveled all the way around the Toulemne Nature Preserve, following the exact border, but never entering the preserve? A. 30 miles B. 40 miles C. 60 miles D. 70 miles E. 80 miles

C. 60 miles

Four students get 90s on a test, three get 70s, 2 get 60s and one gets an 80. What is the mean test score in this group? A. 90 B. 74 C. 77 D. 80 E. 66

C. 77

Below, the standard addition algorithm is being used to add three two-digit numbers. 4z 27 +x5 ------ y14 A. 114 B. 15 C. 8 D. 7.6 E. 12

C. 8

Which of the following is the most appropriate unit in the U.S. Standard System for expressing the volume of a bathtub? A. Inches B. Square Inches C. Gallons D. Pounds E. Tons

C. Gallons

A yellow rectangle and a blue rectangle having identical dimensions intersect to form a green square as pictured below. A yellow rectangle (vertical) and a blue rectangle (horizontal), which are identical in their dimensions, intersect to form a green square, with the green square located in the bottom left of an L-shape. Which of the following statements must be true? A. If you know the area of the green region, you can find the areas of the yellow and blue regions. B. If you know the area of the yellow region, you can find the areas of the green and blue regions. C. If you know the dimensions of the blue region, you can find the areas of all three regions. D. If you know the dimensions of green region, you can find the areas of all three regions. E. If you know the dimensions of the square, you can find the circumference of all the shapes.

C. If you know the dimensions of the blue region, you can find the areas of all three regions.

Use the rectangle pictured below to answer the following question: If you know the length of Side A, what else can you determine about this rectangle? A rectangle with the letter A on top, to the right is letter, at the bottom is a letter C, and to the left is a letter D. A. The area of the rectangle. B. The length of Side B. C. The length of Side C. D. The length of Side D. E. The width of the rectangle.

C. The length of Side C.

Solve for x and y in the following system of equations. 3x + 3 = 9y 4x = 51 + y A. x = 1, y = 9 B. x = 4, y = 51 C. x = 14, y = 5 D. x = 27, y = -4 E. x = 0, y = 0

C. x = 14, y = 5

A circle that contains a right triangle inside the circle. A right triangle is inscribed within a circle with one of its corners at the circle's center (as shown above). If the diameter of the circle is 12, what is the area of the triangle?

Correct Answer: 18

Ten students achieve the following test scores on an exam: 78, 69, 45, 89, 74, 37, 99, 77, 100, 82. What is the interquartile range of these scores?

Correct Answer: 20

There is a trapezoid that has an area of 25. If one of its bases is 4 and its other base is 6, what must its height be?

Correct Answer: 5

Solve for x in the equation below. 2(x + 2) - 4x = 12 A. 12 B. -2 C. 6 D. -4 E. 16

D. -4

If you were to flip a coin five times, what would be the probability that you would flip tails all five times? A. 1/5 B. 1/10 C. 1/25 D. 1/32 E. 1/50

D. 1/32

Barbara's Catering Company makes the best fruit salad despite using only four ingredients. They use four apples for every mango, two pears for every apple, and one pineapple for every mango. If they used 8 pineapples in their most recent batch, how many total pieces of fruit did they use? A. 32 B. 64 C. 96 D. 112 E. 144

D. 112

Use the chart below to answer the question that follows: A graph bar of how students get to school: School bus: 67 Car: 4 Walk: 33 Cycle: 12 Public transit: 14 Other: 0 Approximately how many total students were surveyed when compiling the bar graph above? A. 70 B. 90 C. 110 D. 130 E. 150

D. 130

Super-Yummy Soup, Inc. wants to paint their entire soup can red, including the top and bottom. If the diameter of the lid is 5 cm, and the height of the can is 9 cm, what is the approximate total surface area that will need to be painted? A. 97.3 cm^2 B. 164 cm C. 154.2 cm^2 D. 180.6 cm^2 E. 47 cm^3

D. 180.6 cm^2

Which of the following mathematical statements is true? A. 3 1/2 < 3 1/4 ≤ 3 2/8 B. 3 2/8 > 3 1/4 > 3 1/2 C. 3 1/4 < 3 1/2 ≤ 3 2/8 D. 3 1/2 > 3 2/8 ≥ 3 1/4 E. 3 1/2 ≥ 3 14 > 3 2/8

D. 3 1/2 > 3 2/8 ≥ 3 1/4

The graph below illustrates the location of two points, A and B. On a Cartesian Coordinate plane, point A is at (-2, 2) and point B is at (1, -4) What is the equation for line AB? A. y = 2x B. y = -2x C. y = 3x + 2 D. y = -2x - 2 E. y = x2 + 1

D. y = -2x - 2

Which of the following expressions has the same value as 4(x+3)/2? A. 1/2(4x+3) B. 12 x/2 C. 4x+2/3 D. 4/2 + x+3/2 E. 1/2(4x+12)

E. 1/2(4x+12)

An elf in Santa's Workshop can typically build two giant robot toys a week. If the elf works year-round, how many giant robot toys is he likely to produce in one year? A. 24 giant robot toys B. 26 giant robot toys C. 52 giant robot toys D. 96 giant robot toys E. 104 giant robot toys

E. 104 giant robot toys

Use the diagram below to answer the question that follows: A Venn Diagram that indicate on the left is cream = 16 the center is 20 and the left is Sugar = 35 Michael polled 100 coffee drinkers. According to the results in the Venn diagram above how many coffee drinkers like their coffee without cream or sugar? A. 16 B. 20 C. 19 D. 35 E. 29

E. 29

A map of California is drawn to scale where one inch equals 5 miles. If Rest Stop A and Rest Stop B are one foot apart on the map, how many miles apart are they? A. 5 miles B. 25 miles C. 26 miles D. 50 miles E. 60 miles

E. 60 miles

Use the table below to answer the question that follows: Scranton Airport Tram Schedule Line: A, B, Service, C Departure: 6:00AM, 7:00AM, 8:00AM Return: 6:55AM, 7:55AM, 8:30AM, 9:30AM The tram schedule above shows the departure and return times for each line. Except for a service break, all trams take the same amount of time between their departure and return to the station. What is the missing start time for the C-Line? A. 9:00 am B. 8:50 am C. 8:45 am D. 8:40 am E. 8:35 am

E. 8:35AM

Domain: 2, 4, 7, 9 Range: 7, 31, 97, 161 Which of the following functions expresses the relationship between the domain values and range values shown in the table above? A. f(x) = 4x + 1 B. f(x)=x^2+8 C. f(x) = 5x D. f(x) = x + 8 E. f(x)=2x^2−1

E. f(x)=2x^2−1