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Expressions and Equations Flashcards

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

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  1. Which equation represents a proportional relationship?

    Answer: y = 5x

    A proportional relationship has the form y = kx (passes through the origin with no added constant); only y = 5x fits this form.

  2. What is the slope of the line represented by the equation y = 4x − 7?

    Answer: 4

    In slope-intercept form y = mx + b, m is the slope; here m = 4.

  3. A store sells pencils for $0.25 each. Which equation gives the total cost C for p pencils?

    Answer: C = 0.25p

    Total cost equals the price per pencil times the number of pencils: C = 0.25p.

  4. Which pair of equations forms a system with the solution (2, 5)?

    Answer: y = x + 3 and y = 2x + 1

    Substituting x = 2: y = 2 + 3 = 5 ✓ and y = 2(2) + 1 = 5 ✓, confirming (2, 5) satisfies both equations.

  5. Solve for x: (x/4) + 6 = 10

    Answer: x = 16

    Subtracting 6 gives x/4 = 4, then multiplying both sides by 4 gives x = 16.

  6. Which expression is equivalent to −2(3x − 5)?

    Answer: −6x + 10

    Applying the distributive property: −2 × 3x = −6x and −2 × (−5) = +10, giving −6x + 10.

  7. A rectangle has a perimeter of 36 cm. Its length is twice its width. Which equation can be used to find the width w?

    Answer: 2w + 2(2w) = 36

    Perimeter = 2l + 2w; with l = 2w this becomes 2(2w) + 2w = 4w + 2w = 6w = 36, which is correctly written as 2(2w) + 2w = 36.