Systems of Equations Review

Let's solve a system by GRAPHING. Put the steps in order from first to last.

• Solve both equations for y to get slope-intercept form

• Graph both lines using the slope and y-intercept

• The intersection point is the solution

Tags

CCSS.8.EE.C.8B

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

In this system

x+3y=9

4x-2y=-6

it'll be easiest to start by solving the first equation for x.

The result of doing so is x=​

(a)  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Put the steps for solving by ELIMINATION in order:

• Multiply one or both equations by a number to get common but opposite coefficients

• Plug that number into either original equation and solve for the other variable

• Solve for the remaining variable

• Add the equations to eliminate one variable

• Make sure the equations are lined up

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system given:

3x - y = 9

2x + y = 6

You will need to show your work on scratch paper to get full credit

• (-1,2)
• (3,0)

• (4,5)
• (2,-1)

Tags

CCSS.HSA.REI.C.9

Solve for x and y

y = 2x + 5

y = -2x + 1

You will need to show your work on scratch paper to get full credit

• (1,3)

• (-1,-3)
• (-1,3)
• (3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6