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Algebra Practice Test 1 Flashcards

6 cards from real PARCC practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Algebra Practice Test 1 flashcards as text

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

    Answer: 6x + 22

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

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

    Answer: y = -3x + 7

    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.

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

    Answer: x = 2 and x = 3

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

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

    Answer: 24

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

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

    Answer: 2n - 4 ≤ 10

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

  6. What is the value of x in the system of equations: x + y = 9 and x - y = 3?

    Answer: x = 6

    Adding the two equations eliminates y: (x + y) + (x - y) = 9 + 3 → 2x = 12 → x = 6.