Apply Systems of Equations

Karen makes $5 per hour babysitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139. How many hours did she spend babysitting?

• 4 hours

• 7 hours

• 11 hours

• 18 hours

Tags

CCSS.8.EE.C.8C

Select the best option below for solving this system of equations using elimination.

• Multiply the first equation by -1.

• Multiply the first equation by -2.

• Solve the second equation for y, then substitute that expression in for y in the other equation.

• No changes are necessary - this system is perfectly setup for elimination.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The below system of equations is setup nicely to use the _____ method.

• substitution

• elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which answer below shows the first step in solving the below system of equations using substitution?

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Julie is asked to solve the system below by elimination. Which of the following steps would be the BEST way to begin?

• 
• 
• 
• 

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:
4x+9y=28
-4x-y=-28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system

4x + 8y = 20

-4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Give the solution to the system.

• (3,1)

• (1,3)

• (-1,3)

• (1, -3)

Tags

CCSS.8.EE.C.8B

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

What variable do you eliminate?

4x + 8y = 20

−4x + 2y = −30

• X because they have opposite signs

• Y because they have opposite signs

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6