Solving Systems Review

In Algebra, a group of two or more equations is called a ___________.

• solution

• system

• intersection

• ordered pair

What does it mean to "solve a system"?

• Find the point that satisfies one of the equations.

• Find the point that satisfies all of the equations.

• Rewrite the equations in "y=" form.

• Rewrite the equations in standard form.

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.7

CCSS.HSA.REI.C.8

CCSS.HSA.REI.D.11

What is the solution of this system?

• (0,0)

• (2,4)

• same line; infinite solutions

• parallel lines; no solution

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution of this system?

• (3,2)

• (6,12)

• infinite solutions

• no solution

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

When both lines in a system are identical, the system has __________________.

• infinite solutions

• one solution

• no solution

• parallel solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

Solve this system:
 $y=4x+5$  
 $2x+3y=43$  

• (3,17)

• parallel; no solution

• (2,8)

• (2,13)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve this system:
 $5x+3y=8$ 
 $3x-3y=0$  

• (1,3)

• (1,-3)
  

• (1,1)

• (8,0)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

3 tacos and 2 burritos cost $6.50.

3 tacos and 1 burrito costs $5.50.

How much is one taco?

• $0.50

• $1.00

• $1.50

• $2.00

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

Betsy's hourly wage is $12 and she gets a $0.10 raise every month.

Joel's hourly wage is $10 and he gets a $0.20 raise every month.

How many months until Joel's wage catches Betsy's?

• 2 months

• 10 months

• 20 months

• 30 months

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Tags

CCSS.HSA.REI.C.6