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Exam (elaborations)

College Algebra Exam 1 with solved questions.

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Midpoint Formula - answers(x1+x2/2, y1+y2/2) Distance Formula - answersd = √[( x₂ - x₁)² + (y₂ - y₁)²] slope formula - answersy2-y1/x2-x1 slope-intercept form - answersy = mx + b point slope form - answersy - y1 = m(x - x1) vertical line equation - answersx = a, where a is the x-intercept. Slope is always undefined. Horizontal Line Equation - answersy = b, where b is the y-intercept. Slope is always 0. Perpendicular Lines Theorem - answersSlope is the negative reciprocal of second line. Parallel Lines Theorem - answersSlope is the same as second line. Use point-slope formula to solve. Linear equation distance - answersd=rt, set distances equal to solve. Linear equation percentages - answersA% (amount at A%) + B% (amount at B%) = Total% (amount at total %) Perimeter - answersP = 2l + 2w Area - answersA = lw Volume - answersV = lwh i^2 - answers-1 i - answerssquare root of -1 I-power - answersmust be even, if not make it even. If the exponent is odd in imaginary number - answersanswer must be negative

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Institution
College Algebra
Course
College Algebra








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Written for

Institution
College Algebra
Course
College Algebra

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Uploaded on
August 10, 2025
Number of pages
3
Written in
2025/2026
Type
Exam (elaborations)
Contains
Questions & answers

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College Algebra Exam 1 with solved
questions

Midpoint Formula - answers(x1+x2/2, y1+y2/2)

Distance Formula - answersd = √[( x₂ - x₁)² + (y₂ - y₁)²]

slope formula - answersy2-y1/x2-x1

slope-intercept form - answersy = mx + b

point slope form - answersy - y1 = m(x - x1)

vertical line equation - answersx = a, where a is the x-intercept. Slope is always
undefined.

Horizontal Line Equation - answersy = b, where b is the y-intercept. Slope is always 0.

Perpendicular Lines Theorem - answersSlope is the negative reciprocal of second line.

Parallel Lines Theorem - answersSlope is the same as second line. Use point-slope
formula to solve.

Linear equation distance - answersd=rt, set distances equal to solve.

Linear equation percentages - answersA% (amount at A%) + B% (amount at B%) =
Total% (amount at total %)

Perimeter - answersP = 2l + 2w

Area - answersA = lw

Volume - answersV = lwh

i^2 - answers-1

i - answerssquare root of -1

I-power - answersmust be even, if not make it even.

If the exponent is odd in imaginary number - answersanswer must be negative

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