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2.02 Standard form

Adaptive
Worksheet

Interactive practice questions

The line $kx+3y=15$kx+3y=15 passes through the point $\left(13,-8\right)$(13,8).

a

Find the value of $k$k.

b

Solve for the $x$x-value of the $x$x-intercept of the line.

c

Solve for the $y$y-value of the $y$y-intercept of the line.

Easy
4min

Consider the graph of the line.

Easy
2min

Consider the line given by the equation: $5x-3y=-15$5x3y=15

Medium
2min

Consider the line given by the equation: $4x-3y=-12$4x3y=12

Medium
1min
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Outcomes

A1.N.Q.A.1

Use units as a way to understand real-world problems.*

A1.N.Q.A.1.A

Choose and interpret the scale and the origin in graphs and data displays.*

A1.A.CED.A.2

Create equations in two variables to represent relationships between quantities and use them to solve problems in a real-world context. Graph equations with two variables on coordinate axes with labels and scales, and use the graphs to make predictions.*

A1.A.CED.A.3

Create individual and systems of equations and/or inequalities to represent constraints in a contextual situation, and interpret solutions as viable or non-viable.*

A1.A.REI.D.5

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).

A1.MP1

Make sense of problems and persevere in solving them.

A1.MP2

Reason abstractly and quantitatively.

A1.MP3

Construct viable arguments and critique the reasoning of others.

A1.MP4

Model with mathematics.

A1.MP5

Use appropriate tools strategically.

A1.MP6

Attend to precision.

A1.MP7

Look for and make use of structure.

A1.MP8

Look for and express regularity in repeated reasoning.

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