Grade 12 Math: Linear Relationships

This worksheet focuses on advanced linear relationships, including graphing, equations, and real-world applications for Grade 12 students.

Grade 12 Math AlgebraLinear Relationships

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSA.REI.D.10CCSS.MATH.CONTENT.HSF.LE.A.2

Topics

AlgebraLinear EquationsFunctionsGraphing

8 sections · Free to use · Printable

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Grade 12 Math: Linear Relationships

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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.

1. Graph the linear equation $y = -2x + 3$ on the coordinate plane below. Clearly label at least two points on the line.

2. The slope-intercept form of a linear equation is $y = mx + b$, where $m$ represents the and $b$ represents the .

3. A horizontal line has a slope of , while a vertical line has an slope.

4. Which of the following equations represents a linear function?

$y = x^2 - 4$

$y = 3x - 5$

$y = \sqrt{x} + 2$

$y = |x| + 1$

5. Write the equation of a line that passes through the points $(2, 5)$ and $(4, 11)$ in slope-intercept form.

6. A taxi service charges a flat fee of $3.00 plus $2.50 per mile. Write a linear equation that models the total cost $C$ for a ride of $m$ miles.

7. The graph of $y = -4x + 7$ has a positive slope.

True

False

8. Parallel lines have the same slope but different y-intercepts.

True

False

9. A company's profit (P) in thousands of dollars can be modeled by the equation $P = 0.5t - 1.2$, where $t$ is the number of years since 2010. What was the company's profit in 2015? In what year will the company's profit reach $8,800?