NZ Level 6 (NZC) Level 1 (NCEA)
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Mixed Problems on Systems of Equations

Interactive practice questions

The graphical solution of a system of two linear equations can be described as:

The point of intersection of two lines.

A

Any point that is at an equal distance from two lines.

B

The angle between two lines at their point of intersection.

C

The distance between the $y$y-intercepts of two lines.

D

The point of intersection of two lines.

A

Any point that is at an equal distance from two lines.

B

The angle between two lines at their point of intersection.

C

The distance between the $y$y-intercepts of two lines.

D
Easy
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Consider the system of linear equations

$-3x-12y$3x12y $=$= $6$6
$-2x-4y$2x4y $=$= $-4$4

Consider the system of linear equations

$4x+4y$4x+4y $=$= $6$6
$5x+3y$5x+3y $=$= $3$3

Consider the equations $y=3x-1$y=3x1 and $y=-5x+23$y=5x+23.

Outcomes

NA6-5

Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns

NA6-7

Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns

91027

Apply algebraic procedures in solving problems

91028

Investigate relationships between tables, equations and graphs

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