Algebra Keystone Review

Front

y = 15x + 30. Which statement describes a solution of the equation based on the number of months the customer has rented the storage unit?

Back

After exactly 16 months, the customer has paid $270.

Front

Charlene owns a bookstore and pays $3.50 for each hardback book and $0.75 for each paperback book. She pays a total of $199.75 for 149 used books. Which system of equations could determine the number of hardback books (x) and paperback books (y)?

Back

x + y = 149, 3.50x + 0.75y = 199.75

Front

|6.75 – x| < 0.25: Describe the length requirements for the machine part.

Back

The length of the part must be greater than 6.5 cm and less than 7 cm.

Front

What is the vertex of the graph shown? Options: (3, 0), (0, 3), (-3, 0), (0, -3)

Back

(3, 0)

Front

Which system of inequalities is graphed?

Back

2x - 1 ≥ 3, 2x + 3 ≤ 11

Front

Possible number of books in a bookstore window display: x + y ≤ 30, 2x ≤ 3y. Options: 6 mysteries and 22 biographies, 15 mysteries and 8 biographies, 21 mysteries and 14 biographies, 24 mysteries and 12 biographies.

Back

6 mysteries and 22 biographies

Front

A customer purchases a total of 8 baskets of tomatoes and pays $36. Small baskets cost $3 each, and large baskets cost $5 each. Write and solve a system of equations to find the number of small (x) and large (y) baskets purchased.

Back

x + y = 8, 3x + 5y = 36; 2 small baskets, 6 large baskets

Front

Kyle has $4 more than twice as much money as Lana. Lana has x dollars. Kyle does not have enough money to buy a video game that costs $56, but he has enough money to buy a textbook that costs $38. Write a compound inequality that represents all the possible amounts of money Kyle could have in terms of x.

Back

38 ≤ 2x + 4 < 56

Front

38 ≤ 2x + 4 < 56. Which pay rate for Lana will satisfy the inequality? Options: $13/ hour, $26/ hour, $18/ hour, $33/ hour

Back

$18/ hour

Front

Which set of ordered pairs is a function? Options: {(-10, 4), (-8, 3), (-8, 2), (-4, 1)}, {(-2, 4), (0, 4), (2, 4), (2, 6)}, {(1, 5), (1, 6), (2, 7), (3, 8)}, {(-1, 1), (0, 0), (1, 1), (2, 2)}

Back

{(-1, 1), (0, 0), (1, 1), (2, 2)}