Mathematics Knowledge & Operations

If you want to tip your server 22 percent on a dinner bill that totals $98.40, how much money would you leave on the table? A. $21.65 B. $21.64 C. $20.30 D. $19.87

A. $21.65 The bill was $98.40, multiply that by 0.22 to figure out that you should leave $21.648, but you would round up since you can deal in fractions of pennies.

Solve: 1/3 x 2 to the second power/3 - 1/9 A. 1/27 B. 3. 8/9 C. 4/27 D. 3. 7/9

A. 1/27 1/3 x 2/3 x 2/3 - 1/9 1/3 x 4/9 - 1/9 4/27 - 3/27 = 1/27

What is the prime factorization of 4? A. 2 x 2 B. 1 x 4 C. 1 x 2 + 2 D. 2 x 4

A. 2 x 2 Prime factorization is the act of finding out which prime numbers (whole numbers greater than 1 that can't be made by multiplying other whole numbers) you can multiply together to make the original number. The only prime number you can multiply together to create 4 is 2

Ayanna and Cori live 270 miles apart. They drive toward each other to meet. Ayanna drives an average speed of 65 miles per hour, and Cori drives an average speed of 70 miles per hour. How long do they drive before they meet? A. 1.5 hours B. 2 hours C. 2 hours ,10 minutes D. 2.5 hours

B 2 hours Ayanna's travel is d = 65t, While Cori's travel is 270 - d = 70t Combine both equations by replacing the d in Cori's equation with Ayanna's 65t. 270 = 65t = 70t 270 = 135t 2 t

Continue the pattern ...5,10,9,15,20,19,25,... A.30,35,41 B.30,29,35 C.26,30,35 D.26,30,31

B. 30,29,35 The pattern is the next two multiples of 5, minus 1

What is the product of radical sign 36 and radical sign 49? A. 1,764 B. 42 C. 13 D. 6

B. 42 The square root of 36 is 6, and the square root of 49 is 7. The product of those two 6 x 7 is 42

Which of the following is expressed as an improper fraction? A. 1 5/28 B. 9/7 C. 1/2 D.345/346

B. 9/7 An improper fraction is when the numerator is larger or equal to the denominator.

Jayce is saving up to buy a luxury car that costs 120,000. He puts up 80,000 in the bank and will earn a return of 5 percent a year. If he only earns interest on his initial investment of 80,000, how many years does he have to wait to pay for the luxury car? A. 12 B. 9 C. 10 D. 4

C. 10 This is an interest problem. that tells you Jayce needs to earn $40,000 in interest. First, find out how much interest he.ll earn on his $80,000 savings in one year. 80,000 x 0.05 = 4,000. Then, to find the total number of years Jayce needs to wait, divide the total amount he needs ($40,000) by the interest for one year: 40,000 divided by 4,000 = 10

To make 6-holiday wreaths, you need 48 large flowers and 60 small flowers. How many large flowers do you need to make 18 wreaths? A. 96 B. 108 C. 144 D. 180

C. 144 This is a proportion question in disguise. Because you need 48 large flowers to make 6 wreaths, you can express the ratio of wreaths to flowers as 48:6 (which can also be expressed as 48/6 if that is the way your brain works best). Your proportion for 18 wreaths looks like this: 48/6 :: ?/18. Because 6 x 3 is 18, you know that you have to multiply 48 by 3 to keep the expression directly proportional. 48 x 3 is 144, so you need 144 large flowers.

What is the prime factorization of 37? A. 2 x 2 x 3 x 3 B. 2 x 3 x 5 C. 37 D. 1 x 3 x 4 x 7.5

C. 37 The number 37 is a prime number, so that is as far as you can go

An irrational number is A. negative with decimal places B. any number with decimal places C. a number that has no end of decimal places D. a number that has no square root

C. A number that has no end of decimal places Has a forever repeating decimal, like pi

How much interest will you pay if you take out a loan of $2,500 at a 9 percent interest rate for a term of 9 months? A. $125.75 B. $168 C. $175.25 D. $168.75

D. $168.75 This simple interest problem requires you to calculate time in months, which means you need to convert 9 months into 0.75 years before you do anything else. Then, use I = Prt to solve. I = 2,500 x 0.09 x 0.75 I = 168.75

15 percent off a dinner order totaling $75.50 is A. $71.18 B. $69.20 C. $65 D. $64.18

D. $64.18 When you get 15 percent off of your dinner meal, you are still paying 85 percent of that total. 75.5 x 0.85 = 64.175 Your meal will cost $64.18 before the tip

Which of the following fractions is the largest? A. 2/3 B.5/8 C.11/16 D.3/4

D. 3/4 To find the answer, find a common denominator that all denominators can divide evenly. The common denominator is 48. Next, Convert all fractions into 48ths. 3/4 * 12/12 is 32/48, the largest fraction of all options.