Algebra 1 Keystone Review

Paul has 100 coins in a jar, and they are all dimes or nickels. Their total is $8.10. The system below represents this situation. d + n = 100 0.1d + 0.05 n = 8.10 How many dimes, d, does Paul have in his jar?

• 38

• 40

• 60

• 62

Mike's goal is to run at least 400 miles. To date, he has run 125 miles. He runs 5 miles per day. The inequality below represents how many more days Mike will need to run to achieve his goal. Which statement best describes what he needs to achieve his goal?

• He needs to run 125 days.

• He needs to run 55 or less than 55 days.

• He needs to run 55 or more days.

• He needs to run more than 55 days.

• -65

• -63

• -57

• -11

Which is the least common multiple (LCM) of all three monomials?

• 5

• -3

• 0

• 1

Jason is solving the equation shown below. This was his first step: Which property did Jason use for the first step?

• Distributive Property

• Associative Property

• Commutative Property

• Additive Inverse Property

Michael rented a car for one day at a daily rate of $42. He also had to pay $0.55 per mile driven, but there were no other fees. If Michael return the car at the end of day and paid $114.60, how many miles did he drive?

• 128

• 132

• 136

• 140

A polynomial expression is shown below. Once the polynomial is simplified, what will be the coefficient of the x^2 term?

• 15

• 28

• 58

• 62

Kelsey bought x shirts and y pants. She spent a total of $120. The equation below shows the relationship between the number of shirts and the number of pants purchased. The ordered pair (4,2) is the solution to the equation. What does the solution represent?

• Kelsey bought 4 pairs of pants and 2 shirts

• Kelsey bought 15 shirts and 30 pairs of pants.

• Kelsey bought 4 shirts and 2 pairs of pants.

• Kelsey paid $4 for a shirt and $2 for a pair of pants.