GMAS Review Part 1-Expressions (20%) and Equations (30%)

John has four more nickels than dimes in his pocket, for a total of $1.25. Which equation could be used to determine the number of dimes, x, in his pocket?

• 0.10(x + 4) + 0.05(x) = $1.25

• 0.05(x + 4) + 0.10(x) = $1.25

• 0.10(4x) + 0.05(x) = $1.25

• 0.05(4x) + 0.10(x) = $1.25

• −25 and 25

• −25, only

• −5 and 5

• −5, only

• addition property of equality

• commutative property of addition

• multiplication property of equality

• distributive property of multiplication over addition

Sam and Jeremy have ages that are consecutive odd integers. The product of their ages is 783. Which equation could be used to find Jeremy’s age, j, if he is the younger man?

Which statement is not always true?

• The sum of two rational numbers is rational.

• The product of two irrational numbers is rational.

• The sum of a rational number and an irrational number is irrational

• The product of a nonzero rational number and an irrational number is irrational.

Mo's farm stand sold a total of 165 pounds of apples and peaches. She sold apples for $1.75 per pound and peaches for $2.50 per pound. If she made $337.50, how many pounds of peaches did she sell?

• 11

• 18

• 65

• 100

• 4

• 6

• 8

• 11

Last week, a candle store received $355.60 for selling 20 candles. Small candles sell for $10.98 and large candles sell for $27.98. How many large candles did the store sell?

• 6

• 8

• 10

• 12

What is one point that lies in the solution set of the graphed system of inequalities.

• (7, 0)

• (3, 0)

• (0, 7)

• (-3, 5)