PARCC Algebra Practice Test 3

Question 1

Which of the following represents the graph of y = |x − 2| + 1?

Accepted Answer

A V-shaped graph with vertex at (2, 1)

Answer

y = |x − 2| + 1 has the vertex at (2, 1): the graph shifts 2 units right and 1 unit up from y = |x|.

Question 2

For what value of k does the system 2x + ky = 8 and 4x + 6y = 16 have infinitely many solutions?

Accepted Answer

k = 3

Answer

Multiply the first equation by 2: 4x + 2ky = 16. For this to match 4x + 6y = 16, we need 2k = 6, so k = 3.

Question 3

The sum of three consecutive odd integers is 57. What is the largest integer?

Accepted Answer

21

Answer

n + (n+2) + (n+4) = 57 → 3n + 6 = 57 → n = 17. Largest = 17 + 4 = 21.

Question 4

Which expression represents the product (2x + 5)(2x − 5)?

Accepted Answer

4x² − 25

Answer

(2x + 5)(2x − 5) = (2x)² − (5)² = 4x² − 25.

Question 5

A train leaves Station A traveling at 80 mph. Two hours later, a second train leaves the same station traveling in the same direction at 100 mph. How many hours after the second train departs will it catch up to the first train?

Accepted Answer

8 hours

Answer

80(t + 2) = 100t → 80t + 160 = 100t → 160 = 20t → t = 8 hours after the second train departs.

PARCC Practice Test

PARCC Practice Test

PARCC Algebra Practice Test 3