Systems of Equations Review

From the graph, what is the solution to this SYSTEM of equations?

• No Solution

• Infinitely Many Solution

• (2, 4)

• (2, -2)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

From the graph, what is the solution?

Reminder: A point is written as X (left/right),

then Y (down, up).

• No Solution

• Infinitely Many Solutions

• (-3, -2)

• (-2, -3)

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

CCSS.HSF.IF.C.7

The graph shows two overlapping lines, what is the solution to this SYSTEM of equations?

• No solution

• Infinitely many solutions

• (0,0)

• (-4, -3)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

When you solve an equation and get 3 = 4 (which isn't true!), this means you have parallel lines so how many solutions are there?

If you need help, make your arms into parallel lines to see how many times they cross.

• Infinitely many solutions

• One Solution

• No Solutions

• Two Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.B.5

When you solve an equation and get 4 = 4 (which is ALWAYS true no matter what x is!), this means you have two lines that are THE EXACT SAME line so how many solutions are there?

If you need help, make your arms into two IDENTICAL lines to see how many times they cross.

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

If you multiply the WHOLE equation x + 2y = 3 by 2, what will the new equation be? (BE CAREFUL!)

Show work on whiteboard!

• 2x + 4y = 6

• 2x + 2y = 3

• 2x + 4y = 3

• -x - 2y = -3

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

If you multiply the WHOLE equation -2x + 3y = 4 by 3, what will the new equation be? (BE CAREFUL!)

Show work on whiteboard!

• -2x + 3y = 4

• -6x + 9y = 12

• 6x - 9y = -12

• -6x + 9y = 4

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

If you multiply the WHOLE equation y = -2x + 5 by 4, what will the new equation be? (BE CAREFUL!)

Show work on whiteboard!

• 4y = -8x + 20

• y = -2x + 20

• y = -8x + 20

• 4y = -2x + 20

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Get into y = mx + b form: -2x + y = 5

BE VERY CAREFUL!! Show work on whiteboard!

• y = -2x + 5

• y = 2x + 5

• y = 2x - 5

• y = -2x - 5

Tags

CCSS.HSA.CED.A.4

Get into y = mx + b form: 6 + y = -3x

BE VERY CAREFUL!! Show work on whiteboard!

• y = -3x + 6

• y = 3x + 6

• y = -3x - 6

• y = 3x - 6

Tags

CCSS.HSA.CED.A.4

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3