Praxis Math Practice

If a recipe for cookies calls for 3/4 cups of sugar, and you want to quadriple the recipe, how many cups of sugar will you need?

( 3 cups) also type in calculator! Step 1. The fraction ¾ is equivalent to the decimal 0.75. Step 2. Multiply this decimal by 4.

Don gets paid 9$/hr, if he works more then 30hrs then his pay is increased by 1/2. How much does he get paid if he works 38 hours?

($378) Step 1. Set up into this expression 30(9)+8(9x1.5)=

Identify the missing term in the following progression. 16, -4, -1/4,

(1/16) Step 1. Each term is found by dividing -4 Step 2. 16÷(-4)= -4 Step 3. -4 divided by -4 = 1 Step 4. 1 divided by -4 = -1/4 Step 5. -1/4 divided by -4 = -1/16

3 people divide a large pizza. First person gets half, second person gets half as much as the first person, how much is left for the third person?

(1/4) The first person gets ½, the second gets ¼, leaving ¼ for the third person.

Of a litter of 8 lab puppies, 3 are black, 1 is yellow , and 4 are chocolate. What fraction of the puppies are yellow

(1/8) Step 1. part /whole= number of yellow puppies/total number of puppies = 1/8

3/27

(1/9) Step 1. Divide numerator and denominator by 3

Solve for x: 7x/5+9=23

(10) Step 1. Subtract 9 from 23 7x/5=14 Step 2. Multiply 5 by 14 7x=70 Step 3. Divide x=10

If x=-4 and y=7, what is the length of XY?

(11) Step 1. Count each number from 0 on the number line. Step 2. Add units altogether that are in each direction.

If Dave drives at 50mph, how long will it take him to drive 10 miles?

(12 minutes) Step 1.60 minutes in an hour Step 2. 50/60 = 10/x

Find area of a circle with diameter of 4

(12.56) Step 1. radius is half the diameter r=2 Step 2. Multiply 2²by 3.14 Step 3. 4x 3.14 = 12.56

3 1/5 x 5

(16) Step 1. Convert to improper fraction 16/5 Step 2. 16/5 x 5 = 30/5 = 16

If Todd can type 60 words per minute, how long would it take him to type a 15,000 word document?

(4 hours and 10 minutes) Step 1. Divide the length of the document by the number of words per minute to find the number of minutes it will take. The number of minutes can then be divided by the number of minutes in an hour. 250 minutes is equivalent to 4 hours and 10 minutes.

Find the slope of 2y-3=8x+7

(4) Step1. Add 3 on both sides 2y=8x+10 Step2. Divide 2 by both sides y=4x+5 Step3. Look at the number next to (x)

Find the slope of 4x-5y=20

(4/5) Step 1. Slope formula (y = mx + b) Step 2. m is slope = 5

What percent of 38 is 16?

(42%) Step 1. Divide 16 by 38= 0.421 Step 2. Multiply 0.421 x 100= 42%

A coin if flipped once and a cube with numbers 1 through 6 on each side is rolled. What is the probability that the coin will show heads and the cube will show a number greater then 1.

(5/12) Step 1. Probability of head is 1/2. There are 5 numbers greater then 1 on the cube. showing greater then 1 is 5/6. Step 2. 1/2x5/6 = 5/12

Rex is four times as old as Ted. If the sum of their ages are 30, how old is Ted.

(6) Step 1. The ratio of Rex's age to Ted's age is 4:1; Step 2. The sum of their ages can be divided by the total number of units in this ratio, 5. Step 3. This indicates that Rex is 24 and Ted is 6.

John has 4 green pairs of socks, 7 black pairs socks, and 7 pairs of red socks, if he reaches into the draw at random, what are his chances of not getting a green pair of socks?

(7/9) Step 1. 14 of the 18 pairs of socks are not green; Step 2. the fraction 14/18 can be simplified as 7/9.

If John scores 20% of his team's score in a basketball game, how many points does the team score if John scored 14 points?

(70) Step 1. 20% is one-fifth Step 2. Multiply John's point total by 5

54 is 75% of what number?

(72) Step 1. Multiply 54 by 100 Step 2. Divide by 75.

If Ted runs 8 mph which computation would you use to determine how far Ted runs in 15 minutes?

(8x.25) Step 1. Fifteen minutes is a quarter-hour, which is equivalent to the decimal 0.25.

A 60ft ribbon is cut into 6ft pieces. The number of cuts is?

(9) Step 1. You only need 9 cuts to get 10 pieces, if you make 10 cuts you get 11 pieces.

John will be x in 7 years, how old was he last year?

(x-8) Step 1. Subtract first seven and then one year from x.

What is the value of x−y if x=y+b?

(x/b) Step 1. Subtract y from both sides of the equation x = y + b to get x - y = b.

173,000,000,000 in scientific notation

1.73 x 10^11 Step 1. Place a decimal point at the end of the number Step 2. Move it eleven places to the left Step 3. Until creates a number between one and ten.

A number is multiplied by 6 and then has 4 subtracted from it. The answer is 14. Which of the following statement matches?

6x-4=14 Step 1. multiplication takes place before the subtraction.

If the area of a square is p, what is the diagonal in terms of p?

√2p Step 1. Since the area of the square is p, each side is s=. From the Pygathgorean Theorem, the diagnal is then d²=(√p)²+(√p)²=p+p=2p d=√2p