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Mathematics Knowledge Flashcards

5 cards from real AFQT practice questions. Tap to flip, then mark Knew It or Still Learning โ€” missed cards come back until you master them.

Read the first 5 Mathematics Knowledge flashcards as text
  1. Simplify the expression: 5x+7x.

    Answer: 12x

    This is an algebraic expression involving like terms. To simplify, combine the coefficients of the 'x' terms while keeping the variable the same. So, 5x + 7x = (5+7)x = 12x.

  2. What is the area of a rectangle with a length of 8 meters and a width of 5 meters?

    Answer: 40 square meters

    The area of a rectangle is calculated by multiplying its length by its width. In this case, the length is 8 meters and the width is 5 meters. Therefore, the area is 8 meters * 5 meters = 40 square meters.

  3. Solve for x: 3xโˆ’7=11.

    Answer: x=6

    To solve for x, first add 7 to both sides of the equation: 3x - 7 + 7 = 11 + 7, which simplifies to 3x = 18. Next, divide both sides by 3: 3x / 3 = 18 / 3, which results in x = 6.

  4. If ๐‘Ž2=64, what is ๐‘Ž?

    Answer: Both -8 & 8

    The equation aยฒ = 64 asks for a number that, when multiplied by itself, equals 64. Both 8 * 8 = 64 and (-8) * (-8) = 64 satisfy this condition. Therefore, 'a' can be either 8 or -8, as both positive and negative values, when squared, yield a positive result.

  5. A triangle has a base of 10 cm and a height of 12 cm. What is its area?

    Answer: 60 square cm

    The area of a triangle is calculated using the formula A = (1/2) * base * height. By substituting the given values, (1/2) * 10 cm * 12 cm, we get 60 square cm. This formula accounts for the fact that a triangle is essentially half of a rectangle or parallelogram with the same base and height.