PARCC - Partnership for Assessment of Readiness for College and Careers Algebra Practice Test 1

Question 1

Simplify the expression: 4(2x + 3) - 2(x - 5).

Accepted Answer

6x + 22

Answer

Distribute: 4(2x + 3) = 8x + 12 and 2(x - 5) = 2x - 10. Subtracting gives 8x + 12 - 2x + 10 = 6x + 22.

Question 2

Which equation represents a line with slope -3 and y-intercept 7?

Accepted Answer

y = -3x + 7

Answer

Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. With m = -3 and b = 7, the equation is y = -3x + 7.

Question 3

What are the solutions to x² - 5x + 6 = 0?

Accepted Answer

x = 2 and x = 3

Answer

Factor the quadratic: (x - 2)(x - 3) = 0. Setting each factor to zero gives x = 2 and x = 3.

Question 4

If y varies directly with x and y = 15 when x = 5, what is y when x = 8?

Accepted Answer

24

Answer

Direct variation means y = kx. Solving for k: k = 15/5 = 3. Then y = 3(8) = 24.

Question 5

Which inequality represents 'twice a number decreased by 4 is at most 10'?

Accepted Answer

2n - 4 ≤ 10

Answer

'Twice a number' is 2n, 'decreased by 4' gives 2n - 4, and 'at most 10' means ≤ 10, yielding 2n - 4 ≤ 10.

PARCC Practice Test