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THEA Algebra & Problem Solving Flashcards

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

Read the first 6 THEA Algebra & Problem Solving flashcards as text

  1. What is the y-intercept of the equation y = 3x - 7?

    Answer: -7

    In slope-intercept form y = mx + b, the y-intercept is b; here b = -7.

  2. Simplify: (3x²y)(4xy³)

    Answer: 12x³y⁴

    Multiply coefficients (3 × 4 = 12) and add exponents for like bases: x^(2+1) = x³ and y^(1+3) = y⁴, giving 12x³y⁴.

  3. A recipe calls for 2.5 cups of flour for 24 cookies. How many cups are needed for 60 cookies?

    Answer: 6.25 cups

    Set up the proportion: 2.5/24 = x/60; cross-multiplying gives 24x = 150, so x = 6.25 cups.

  4. What is the greatest common factor (GCF) of 36 and 48?

    Answer: 12

    The greatest common factor of 36 and 48 is 12, since 12 is the largest number that divides both evenly.

  5. If 40% of a number is 26, what is the number?

    Answer: 65

    Set up the equation 0.40 × n = 26; divide both sides by 0.40 to get n = 65.

  6. Evaluate: 3 + 4 × (2² - 1) ÷ 3

    Answer: 7

    Following PEMDAS: 2² = 4, then 4 - 1 = 3, then 4 × 3 = 12, then 12 ÷ 3 = 4, then 3 + 4 = 7.

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