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AFOQT Math Knowledge Questions
with Detailed Verified Answers
Slope-Intercept Form of a line Ans: y=mx+b
Terms of a line Ans: slope=m
b=y-intercept
Slope Ans: (y₂- y₁) / (x₂- x₁)
Rise over run
the steepness of a line on a graph, equal to its vertical change
divided by its horizontal change
Standard form of a line Ans: Ax+By=C
x-intercept of a line Ans: C/A
y-intercept of a line Ans: C/B
Distance formula Ans: d = √[( x₂ - x₁)² + (y₂ - y₁)²]
Midpoint formula Ans: (x₁+x₂)/2, (y₁+y₂)/2
Parabola Ans: The U-shaped graph of a quadratic function
Zero/root of a quadratic Ans: X-intercepts of the parabola
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Standard form of Quadratic Equation Ans: ax² + bx + c = 0, where
a, b, and c are real numbers and
a ≠ 0.
Standard form of quadratic equation:
Axis of symmetry Ans: x=-b/2a
Standard form of quadratic equation: Vertex Ans: (-b/2a, f(-b/2a))
Vertex form of quadratic equation Ans: y = a(x - h)² + k; vertex is
(h,k), where "h" is always the opposite of what it appears to be in
the ( )'s.,
Vertex form of quadratic equation:
Vertex Ans: (h,k)
Vertex form of quadratic equation:
Axis of symmetry Ans: x=h
Convert standard form to vertex form (quadratic equation) Ans:
Complete the square
1. Move c to the left side of equation
2. Divide entire equation by a
AFOQT Math Knowledge Questions
with Detailed Verified Answers
Slope-Intercept Form of a line Ans: y=mx+b
Terms of a line Ans: slope=m
b=y-intercept
Slope Ans: (y₂- y₁) / (x₂- x₁)
Rise over run
the steepness of a line on a graph, equal to its vertical change
divided by its horizontal change
Standard form of a line Ans: Ax+By=C
x-intercept of a line Ans: C/A
y-intercept of a line Ans: C/B
Distance formula Ans: d = √[( x₂ - x₁)² + (y₂ - y₁)²]
Midpoint formula Ans: (x₁+x₂)/2, (y₁+y₂)/2
Parabola Ans: The U-shaped graph of a quadratic function
Zero/root of a quadratic Ans: X-intercepts of the parabola
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Standard form of Quadratic Equation Ans: ax² + bx + c = 0, where
a, b, and c are real numbers and
a ≠ 0.
Standard form of quadratic equation:
Axis of symmetry Ans: x=-b/2a
Standard form of quadratic equation: Vertex Ans: (-b/2a, f(-b/2a))
Vertex form of quadratic equation Ans: y = a(x - h)² + k; vertex is
(h,k), where "h" is always the opposite of what it appears to be in
the ( )'s.,
Vertex form of quadratic equation:
Vertex Ans: (h,k)
Vertex form of quadratic equation:
Axis of symmetry Ans: x=h
Convert standard form to vertex form (quadratic equation) Ans:
Complete the square
1. Move c to the left side of equation
2. Divide entire equation by a
