Topics
3. Linear Functions and Equations
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United States of America
Grades 9-12

3.06 Forms of linear functions

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Find the equation of a line that has the same slope as $y=2-4x$y=2−4x and the same $y$y-intercept as $y=-7x-3$y=−7x−3.

Medium
< 1min

Find the equation of a line whose slope is $\frac{2}{3}$23​ and goes through the point $\left(0,5\right)$(0,5).

Express your answer in the form $y=mx+b$y=mx+b.

Medium
< 1min

A cleaner charges an initial fee of $\$110$$110 plus $\$20$$20 per hour.

Medium
< 1min

Neil is running a $30$30 mile ultramarathon at an average speed of $5$5 mi/h.

Which equation represents the distance Neil has left to run, $y$y, as a function of the number of hours since the start, $x$x.

Medium
< 1min
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Outcomes

A.SSE.A.2

Use the structure of an expression to identify ways to rewrite it.

A.CED.A.2

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

A.REI.D.10

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

F.IF.C.7.A

Graph linear and quadratic functions and show intercepts, maxima, and minima.

F.LE.B.5

Interpret the parameters in a linear or exponential function in terms of a context.

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