Practice Test GeeksCHSPE - California High School Proficiency Examination Practice Test
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Algebra Flashcards

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

Read the first 7 Algebra flashcards as text

  1. Which of the following is the equation of a line with slope -½ and y-intercept 4?

    Answer: y = -½x + 4

    Slope-intercept form y = mx + b with m = -½ and b = 4 gives y = -½x + 4.

  2. Solve the system: x + y = 7 and x - y = 3. What is x?

    Answer: 5

    Adding the equations gives 2x = 10, so x = 5.

  3. Which expression is equivalent to (2x³)(3x²)?

    Answer: 6x⁵

    Multiply coefficients (2 × 3 = 6) and add exponents (3 + 2 = 5) to get 6x⁵.

  4. A rectangle has a length that is 3 more than twice its width. If the perimeter is 48, what is the width?

    Answer: 7

    Let w = width; 2(2w + 3) + 2w = 48 → 6w + 6 = 48 → w = 7.

  5. What is the y-intercept of the line 4x - 2y = 12?

    Answer: -6

    Solve for y: -2y = -4x + 12 → y = 2x - 6, so the y-intercept is -6.

  6. If a varies directly with b, and a = 15 when b = 5, what is a when b = 9?

    Answer: 27

    The constant of variation k = 15/5 = 3, so a = 3(9) = 27.

  7. Which of the following is NOT a function?

    Answer: x = y²

    x = y² fails the vertical line test since one x maps to two y values (e.g., x = 4 gives y = ±2).