Questions and Answers
What is the standard form of a linear equation?
Ax + By = C
What is the slope-intercept form of a linear equation?
y = mx + b
What is the point-slope form of a linear equation?
y - y1 = m(x - x1)
Which of the following is an example of a linear function?
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What is the vertex quadratic form?
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What is a quadratic function?
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Which of the following represents a quadratic equation?
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What is the general form of an exponential function?
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What is the formula for calculating the slope?
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What is the formula for the nth term of an arithmetic sequence?
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What is the distance formula?
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What is the midpoint formula?
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What is the quadratic formula?
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What theorem relates the sides of a right triangle?
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What is the formula for distance in relation to rate and time?
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What is the representation of a linear function shown in an example?
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What does an absolute value function look like?
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What is the form of an exponential function given by 2 and 3?
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What is an example of a quadratic function?
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Study Notes
Linear Functions
- Standard form: Ax + By = C
- Slope-intercept form: y = mx + b
- Point-slope form: y - y1 = m(x - x1)
Quadratic Functions
- Vertex form: y = a(x - h)^2 + k
- Standard quadratic form: y = ax^2 + bx + c
- Quadratics encompass both vertex form and standard form.
Exponential Functions
- General form: y = ab^x
- Example: y = 2 * 3^x illustrates exponential growth.
Arithmetic Sequence
- Formula: An = a1 + (n - 1)d
- Used to find the n-th term in an arithmetic sequence.
Distance and Midpoint
- Distance formula: D = √((x2 - x1)^2 + (y2 - y1)^2)
- Midpoint formula: (x1 + x2)/2, (y1 + y2)/2
Essential Theorems
- Quadratic formula: x = -b ± √(b^2 - 4ac) / 2a for finding roots of a quadratic equation.
- Pythagorean Theorem: a^2 + b^2 = c^2, relates sides of a right triangle.
Rate, Time, and Distance
- Distance formula: d = rt, where distance equals rate multiplied by time.
Various Function Forms
- Example linear function: y = 3x + 1
- Example absolute value function: y = |x| - 2
- Example quadratic function: y = 3x^2
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Description
This quiz features flashcards for essential mathematics concepts commonly found on the Missouri EOC assessment. Key topics include standard form, slope-intercept form, and quadratic functions. Use these flashcards to enhance your understanding and retention of mathematical principles essential for success in exams.