Review for Solving Systems by Graphing and Substitution

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 for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)
• (0,-3)
• (3,0)
• (-3,0)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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.HSA.CED.A.2

CCSS.HSA.CED.A.4

CCSS.HSS.ID.C.7