8th Grade Unit 5 Study Guide

Write the equation in slope-intercept form:
-10x + 2y = 14

• y = 10x + 12

• y = 10x + 7

• y = 5x + 14

• y = 5x + 7

The equation is now solved for y.

y = -¹/₂x + 2

Which is the graph of this equation?

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The equation is now solved for y.

y = ²/₃x + 3

Which is the graph of this equation?

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If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• same lines

If a system of equations has infinitely many solutions, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• same lines

If a system of equations has infinitely many solutions, what do you know about the slopes and y-intercepts of the two equations?

• They have different slopes and different y-intercepts.

• They have the same slopes and different y-intercepts.

• They have the same slopes and the same y-intercepts.

• They have different slopes and the same y-intercepts.

• No Solution

• Infinite Solutions

• One Solution (10,5)

• One Solution (0,0)

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

• No Solution

• Infinitely Many Solutions

• One Solution; (6,2)

• One Solution; (3,0)

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many