Number Systems GMAS Review

John & Kamira are playing a game together. John's score (J) and Kamira's score (K) after round one are shown on the number line. The score John & Kamira record after round one is 2. What could this score represent?

• The sum of John's score and Kamira's score

• The sum of John's score and Kamira's score

• The absolute value of the difference between John's score and Kamira's score

• The sum of the absolute value of John's score and the absolute value of Kamira's score

Answer explanation

The correct answer choice is (A) the sum of John's score Kamira's score. The number 2 was correctly identified as the sum of their scores. Choice (B) would give me the answer -12. Choice (C) would be the absolute value of -12, which is 12. Choice (D) is incorrect because it would give me 12.

What is the value of 4.2(46 - 65)?

• -798

• -79.8

• 79.8

• 798

Answer explanation

Subtracting 46 - 65 will give you a negative number. Multiplying (or distributing) the positive 4.2 by a negative will give me a negative, so A & B are the only two answers that could work. It has to be B because I am multiplying a whole number by a tenth, so my answer must be a tenth; thus the only answer that works is B!

What is the value of 4.2(46 - 65)?

• -59.2

• -30.4

• 30.4

• 52.8

Answer explanation

If I use PEMDAS and subtract 7 - 3.2 first, I get about 4. Multiplying -8 by 4 is -32 and the closest answer is choice (B) -30.4!

During one week, Sheila made several changes to her bank account. She made four withdrawals of $40 each from an ATM. She also used her debit card for a $156 purchase. Then she deposited her paycheck of $375. By how much did the amount in her bank account change during that week?

• $59 increase

• $59 decrease

• $691 increase

• $691 decrease

Answer explanation

4 withdrawals means -4. -4 x 40 = -160. A $156 purchase mean -156. Deposits $375 means +375. So, -160 + (-156) + 375 = 59

Last year at a track meet, runner A and runner B both ran each of 4 laps in a race in 1.5 minutes. Runner A sets a goal for this year of changing his total time for the race by -0.12 minutes, with equal times for all 4 laps. Runner B sets a goal for this year of changing his time on each lap by -0.025 minutes. Runner A's goal is to change his time on each lap of the race by __________________ minutes.

• -0.48

• -0.12

• -0.03

• 0.03

Answer explanation

Runner A is trying to save his TOTAL time by -0.12. So to figure out how much he needs to change EACH lap by, he must DIVIDE -0.12 by 4, which will give him -0.03. Runner A must shave off .03 minutes on each lap!

Last year at a track meet, runner A and runner B both ran each of 4 laps in a race in 1.5 minutes. Runner A sets a goal for this year of changing his total time for the race by -0.12 minutes, with equal times for all 4 laps. Runner B sets a goal for this year of changing his time on each lap by -0.025 minutes. Runner B's goal is to change his total time for the race by _____________________ minutes.

• -0.1

• -0.025

• 0.025

• 0.1

Answer explanation

Runner B is trying to change EACH lap by -0.025 minutes, so in order to figure out his OVERALL change, we must MULTIPLY -0.025 x 4.

An employee is starting a job with an annual salary of $40,000. The employee's annual salary will increase by 3% at the end of each year with the company. What will the employee's annual salary, in dollars, be at the end of the second year with the company?

Answer explanation

Year 0 = $40,000 salary

Year 1 = 40,000 x 1.03 = $41,200

Year 2 = 41,200 x 1.03 = $42,436

1.03 = 103% (add at the beginning since it's a raise, then you won't have to add at the end!)

Tara had 1 5⁄8 pounds of dried nuts. She ate ¼ pound of dried nuts each day for 6 days. How many pounds of dried nuts did Tara have left after 6 days?

Answer explanation

First, you must figure out how much you have eaten, so 1/4 x 6 = 6/4 or 1.5. Now we subtract from what he started with, so 1 and 5/8 - 6/4 = 1/8.

The sum of a number and its opposite equals:

Answer explanation

For example - 7 + 7 = 0 ADDITIVE INVERSES MAKE 0!!!!!

Which expression is equivalent to -7(y - 2)?

• -7y - 2

• -7y + 2

• -7y - 14

• -7y + 14

Answer explanation

Distributive Property and we must distribute the -7 EVENLY to everyone in the parentheses. -7 x y = -7y and -7 x -2 = +14. So, the answer is -7y + 14!