Keystone Algebra Practice Questions

• 2

• 3

• 4

• 5

Juan answered all 50 questions on a test. He earned 3 points for each question he answered correctly. He lost 1 point for each question he answered incorrectly. His final test score was 102 points. The system of equations below describes the relationship between the number of questions he answered correctly (x) and the number of questions he answered incorrectly ( y). x+y=50 3x-y=102 Part of the solution of the system of equations is x = 38. What does this value represent?

• the number of questions Juan answered correctly

• the number of questions Juan answered incorrectly

• the number of points Juan lost from questions he answered incorrectly

• the number of points Juan earned from questions he answered correctly

An inequality is shown below. Which graph shows the solution of the inequality?

• A

• B

• C

• D

• A

• B

• C

• D

• c = 5(6) + 41

• c = 6(41) + 5

• 41 = 5p + 6

• 41 = 6p + 5

• 2x – (3 + 10x) = 5(3 + x)

  This step is justified by the associative property.

• 2(x – 3) = 5(3 + x) – 10x

  This step is justified by the associative property.

• 2x – 6 + 10x = 15 + 5x

  This step is justified by the distributive property.

• 2x – 3 + 10x = 15 + x

  This step is justified by the distributive property.

• The objects never travel at the same velocity

• The objects always travel at the same velocity

• The objects travel at the same velocity only after they have been traveling for 1/4 second

• The objects travel at the same velocity only after they have been traveling for 1/2 second

• 1 < 3x < 2

• 1 < x + 2 < 4

• 6 < 2x < 9

• 6 < x + 3 < 9

• -2x + y ≤ 4

  2x + 3y ≤ 6

• -2x + y ≥ 4

  2x + 3y ≥ 6

• -2x + y ≤ 4

  2x + 3y ≥ 6

• -2x + y ≥ 4

  2x + 3y ≤ 6

• x = -2

• x = 0

• x = 1.5

• x = 9