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1.06 Systems of linear equations

Adaptive
Worksheet

Interactive practice questions

The following graph displays a system of two equations:

Loading Graph...

a

Which of the following methods is most efficient for solving the given system of equations?

Graphically

A

By substitution

B

By elimination

C
b

Write down the solution to the system of equations as an ordered pair $\left(x,y\right)$(x,y).

Easy
1min

Consider the system of equations:

Equation 1 $5x-7y=3$5x7y=3
Equation 2 $-3x-7y=-69$3x7y=69
Medium
4min

Consider the system of linear equations:

  • Line 1 passes through the points $\left(1,-12\right)$(1,12) and $\left(2,-8\right)$(2,8)
  • Line 2 passes through the points $\left(1,-8\right)$(1,8) and $\left(2,-11\right)$(2,11)
Medium
2min

Consider the system of equations:

Equation 1 $y=5x+38$y=5x+38
Equation 2 $4y=28x+208$4y=28x+208
Medium
4min
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Outcomes

A2.N.Q.A.1

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

A2.A.REI.B.3

Write and solve a system of linear equations in a real-world context. *

A2.MP1

Make sense of problems and persevere in solving them.

A2.MP2

Reason abstractly and quantitatively.

A2.MP3

Construct viable arguments and critique the reasoning of others.

A2.MP4

Model with mathematics.

A2.MP5

Use appropriate tools strategically.

A2.MP6

Attend to precision.

A2.MP7

Look for and make use of structure.

A2.MP8

Look for and express regularity in repeated reasoning.

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