Praxis Math
What is the GCF of 18 and 36?
2 9 18 36 Correct Answer: 18
Find the product and simplify your answer: (a+2)(2a+4)
2a^2 + 8a + 8 2a^2 + 6a + 6 3a^2 + 8a + 8 3a^2 + 8a + 6 Correct Answer: 2a^2 + 8a + 8
Which of the following is equivalent to 0.00000073?
7.3 x 10^7 7.3 x 10^-7 7.3 x 10^6 7.3 x 10^-6 Correct Answer: 7.3 x 10^-7
Mark has the following test grades: 85, 98, 79, 82, 100, 95, 67What must Mark score on the one remaining test, if he wants his test average to be an 85?
86 74 72 89 Correct Answer: 74
Find the volume of the right triangular prism.
9x12x18/2
Which of the following statements is false?
All squares are rectangles. All parallelograms are quadrilaterals. All rectangles are rhombuses. All rhombuses are trapezoids. Correct Answer: All squares are rectangles.
Which property is: 45 + 50 = 5( 9 + 10)?
Commutative Property of Addition Associative Property of Addition Distributive Property Correct answer: Distributive Property
-3(x+7)</=-51
Correct Answer: x >/=10
Evaluate for x: 2(2x - 3) = - (-3x - 1)
Correct Answer: x=7
Simplify 64>-4x
Correct Answer: x>-16
Surface area of a rectangular prism:
SA=2lw+2lh+2wh
Volume of a cone:
V=1/3πr²h
What is a box and whisker plot?
graphical representation of the 5 number summary
What are the terms in 5x -3y + 2z + 1?
x, y and z 5, -3, 2, 1 5x, -3y, 2z, 1 5x, 3y, 2z, 1 Correct Answer: 5x, -3y, 2z, 1
-8x + 6x = -2x + x - 6
x=3 x=-3 x=6 x=-6 Correct Answer: x=6
Pamela is baking muffins. She will put 3/4 cup of dried cranberries, 2/3 cup sliced almonds, 1/8 cup of raisins, and 1 1/4 cups of milk. How many cups of ingredients is that all together?
(3/4)+(2/3)+(1/8)+(1 1/4)= ? Correct Answer: 67/24 = 2 19/24
The points (2,5) and (2, 1) form the height of a right triangle. What could be the third point so the area of the triangle is 12 units squared?
(5, 1) (1, 5) (8, 1) (1, 8) Correct Answer: (8,1)
Which set of rational numbers is arranged from least to greatest?
-(-4), 0.1, -1/2, 25%, -3/4 -3/4, -1/2, 0.1, 25%, -(-4) -1/2, -3/4, -(-4), 25%, 0.1 -(-4), -1/2, -3/4, 0.1, 25% Correct Answer: -3/4, -1/2, 0.1, 25%, -(-4)
(-1/5)+(-2/5)/(1/4)x(1/2)
-4/5 4/5 1 -1 Correct answer: -1
How many kilometers are in 300 centimeters?
0.003 0.03 0.3 300000 Correct Answer: 0.003
What is equivalent to 4 3/4%
0.434 0.0434 0.475 0.0475 Correct Answer: 0.0475
What is the degree of the expression 3x + 2x^4 - 3x^2 + 15x^2?
1 2 3 4 15 Correct Answer: 4 (highest exponent)
What is the prime factorization of 54?
1 x 54 6 x 9 2 x 3 x 3 2 x 3 x 3 x 3 Correct Answer: 2x3x3x3
Surface Area of a Triangular Prism:
1/2bh
If (x + y) = 10 and (a -b) = 4, then what is (3x + 3y)(2a - 2b)?
12 240 32 42 Correct Answer: 240
If there were 3 blue pens for every 2 red pens, how many red pens would there be if you had 50 pens?
2 15 20 25 Correct Answer: 20
Which set of data contains an outlier?
2, 4, 5, 3, 1 77, 18, 23, 29 89, 75, 83, 71, 78 41, 46, 44, 51, 47 Correct Answer: 77, 18, 23, 29
One inch equals 2.54 cm, How many centimeters tall is a 6 foot 4 inch man?
20 cm 29.92 cm 193.04 cm 300.04 cm 593.04 cm Correct Answer: 193.04 cm
During a sale, all video games cost $26 and all movies cost $6.Sharon plans to spend some or all of her $450 in birthday money on these movies and video games. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x= the number of video games Sharon can buy y= the number of movies Sharon can buy. Which inequality represents this situation?
26x+6y</=450
Which number can be is being represented by: (2 x 1,000) + (7 x 100) + (3 x 1) + (3 x 1/100 ) + (6 x 1/1000)?
27,336 2,703.036 273.36 2,733.36 Correct Answer: 2,703.036
On the student council there are 24 boys and 36 girls. What is the ratio of girls to boys?
2:3 3:2 Correct Answer: 3:2
What is the value of F in the formula for Fahrenheit to Celsius when C = 30? F = 9/5C + 32
302 86 62 54 Correct Answer: 86
A radio station is giving away prizes to its callers. Depending on what number caller you are, you receive a different prize. What number caller will be the first to receive all 3 prizes?
30th 60th 90th Correct Answer: 30th How to: https://youtu.be/ZAd7J_XFgwI
How many cookies in each bag and how many lollipops?
4 cookies and 5 lollipops 8 cookies and 10 lollipops 16 cookies and 20 lollipops 96 cookies and 120 lollipops Correct Answer: 4 cookies and 5 lollipops
A rectangular garage has a volume of 480 cubic meters, a length of 12 meters and a width of 8 meters. What is the height?
4 m 5 m 6 m 7 m Correct Answer: 5 m
0.04 is 1/100 of what number?
400 40 4 0.4 0.04 0.004 0.0004 Correct Answer: 4
Of the children in Brenna's class, 4 like to play on the monkey bars and 3 like to play on the jungle gym. 2 children like to play on both the monkey bars and the jungle gym. How many children like to play on the monkey bars or the jungle gym or both?
5 9 2 1 Correct Answer: 5
Which of the following expressions are equivalent to 21 - 6x for all values of x?
5-2(8-3x) 6+3(5-2x) 25-(4-6x) 3(4-2x)-9 7(3-2x)-8x Correct Answer: 6+3(5-2x)
About 602,000,000 tons of corn are harvested in the world each year. What is 602,000,000 written in scientific notation?
6.02 x 10^6 602 x 10^6 6.02 x 10^8 6.02 x 10^-8 Correct Answer: 6.02 x 10^8
If the area of a triangle is 36 square units and the base is 4 units, what is the height?
9 units 3 units 4.5 units 18 units Correct Answer: 18 units
A figure in Quadrant II was transformed, and the image is in Quadrant III. Which could not have been the transformation?
A reflection over the x-axis A rotation 90° clockwise A translation down A rotation 270° clockwise Correct Answer: A rotation 90° clockwise
What is an outlier?
A value in a data set that is much less or much greater than the rest of the data. An outlier is 1.5 times the interquartile range less than the lower quartile or greater than the upper quartile.
Which property is: 3 x 4 = 4 x 3?
Commutative Property of Multiplication Associative Property of Multiplication Distributive Property Correct Answer: Commutative
A spinner is divided into 16 congruent sections. There are four colors of blue, green, red and yellow. The probability of spinning a blue is 1/16, green is 1/8 and red is 3/4. How many sections are yellow?
Correct Answer: 1
If (a + b) = 6 and (c + d) = 3, then what is (4c + 4d)(2a + 2b)?
Correct Answer: 144
Kevin is making goodie bags for his birthday party. He has 96 chocolate bars and 120 lollipops. He wants each friend to receive the same number of chocolate bars and the same number of lollipops. What is the greatest number of friends he can invite so that each bag is identical and he does not have any leftovers?
Correct Answer: 24
A bag contains marbles where there are 4 green, 3 blue and the rest yellow. If a person were to draw a random marble, where the probability of pulling a green marble is 1/3, how many yellow marbles are there?
Correct Answer: 5
If the ratio of pets at the clinic are 2 cats for every 3 dogs and there are 150 animals, how many are cats?
Correct Answer: 60
Their are 20 coins in a jar. Six are nickels, five are quarters, five are dimes and the rest are pennies. If you randomly pick a coin, what is the probability that it will NOT be a nickel?
Correct Answer: 7/10
A recipe makes 6 2/3 cups. The serving size is 5/6 cup. How many servings does the recipe make?
Correct Answer: 8
You pick a card at random: 4,5,6,7,8 What is P(5 or even)?
Correct Answer: 80%
Evaluate for x: 3x + x + 2 = 2x + 14
Correct Answer: x=6
Write the equation in slope intercept form: 5x+y=-17
Correct Answer: y=-5x-17
A card is drawn from a standard deck of cards. What is the probability of drawing a heart or a 7?
Correct Answer:4/13
Which question is the best statistical question to ask when collecting data about sixth graders pizza eating habits?
Do you eat pizza? Do you like whole wheat crust? How much cheese do you like on your pizza? Typically, how many times a month do the families at your school eat pizza? Correct Answer: Typically, how many times a month do the families at your school eat pizza?
By how much does the mean of the following set of data change if the outlier is removed?13, 19, 16, 40, 12
It decreases by 5. It decreases by 40. It increases by 5. It increases by 40. Correct Answer: It decreases by 5.
Which terms describe a square?
Quadrilateral Parallelogram Rectangle Rhombus Square Correct Answer: All of the above
For which quadrilaterals are all of its angles congruent?
Rectangle Parallelogram Trapezoid Rhombus Square Correct Answer: Rectangle, square
Surface Area of a Cylinder: radius is 3yd, height is 2 yd
SA=2πr²+2πrh Answer: 94.2
You reserve 2/5 of the seats on a tour bus. You are able to fill 5/8 of the seats you reserve. What fraction of seats on the bus are you able to fill?
Total seats = x. Reserved = 2/5x. (5/8)x(2/5x) = ? Correct Answer= 1/4
Supplementary angles:
Two angles whose sum is 180 degrees
Complementary angles:
Two angles whose sum is 90 degrees
Volume of a cone: radius is 3mm, height is 4mm
V=1/3πr²h Answer: 37.68
Volume of a cylinder: radius is 4cm, height is 7cm
V=πr²h Answer: 351.68
-6h<-30
h<5 h<-5 h>5 h>-5 Correct Answer: h>5
Translate into an algebraic expression: A number less than 5
n-5 5-n n<5 5+n Correct Answer: 5-n
A wind farm in California produces much of its output during the summer, when the winds are fastest. The amount of power produced depends on the average wind speed. p = the amount of power produced and w = the average wind speed. Which of the variables is independent and which is dependent?
w is the independent variable and p is the dependent variable p is the independent variable and w is the dependent variable Correct Answer: w is the independent variable and p is the dependent variable
13) Evaluate for x: -8x + 6x = -2x + x - 6
x = -6 x = 6 x = -11/6 x = 11/16 Correct Answer: x=6
Evaluate: 38 = -2(3x + 2)
x = 11 x = -5 x = 5 x = -7 Correct Answer: x=-7
Write the equation of the line that passes through the two points: (-4, 11) and (2, -4).
y = 5/2x -4 y = 5/2x + 9 y = -5/2x + 1 y = -5/2x -4 Correct Answer: y = -5/2x + 1
