Solving Systems of Equations Review

What is the first step in solving a system by graphing?

• Write both linear equations in slope-intercept form
• Get x by itself
• Compare the slopes of both equations
• Write both equations in standard form

Tags

CCSS.8.EE.C.8B

Write in slope intercept form
5x - 3y = -9

• y = (5/3)x - 3
• y = (5/3)x + 9
• y = (5/3)x + 3
• y = (3/5)x + 3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Tags

CCSS.8.EE.C.8B

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe. 

Tags

CCSS.8.EE.C.8B

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

Tags

CCSS.8.EE.C.8B

What is the first step in solving a system by Substitution?

• Make sure both equations are in standard form.
• Make sure at least one equation is solved for one variable.
• Make sure both equations are in slope-intercept form.
• Make sure both equations can be solved.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by substitution.
 
5x + 4y= −14
y =  −7x  −  15 

• (-2, -1)
• (1, -2)
• (-2, 1)
• (-1, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by substitution.

x + 2y = 2

x = -4y + 2

• (-3, 0)
• (0, 2)
• (-3, -2)
• (2, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by substitution.

y = -6x + 5

-2x + y = 5

• (-3, -6)
• (-6, 3)
• (0, 5)
• (-3, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by substitution.

6x + y = -1

y = -3x - 4

• (3, 1)
• (1, 7)
• (-3, 1)
• (1, -7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6