Systems of Equations Study Guide

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Tags

CCSS.8.EE.C.8B

Give the solution to the system.

• (3,1)

• (1,3)

• (-1,3)

• (1, -3)

Tags

CCSS.8.EE.C.8B

Which method would be best (quickest) for solving the system below:
x + y = 11
3x - 4y = -2

• Substitution

• Elimination

• Graphing

• None of these

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

Which ordered pair is the solution of the

system of linear equations?

• (4, 2)

• (-4, 2)

• (4, -2)

• (-4, -2)

Which ordered pair represents the solution to this system of linear equations?

• (4, 10000)

• (10000, 4)

• (8, 10000)

• (10000, 8)

#8c: How many solutions?

• One solution

• No Solution

• Infinitely Many Solutions

#8d: How many solutions?

• One solution

• No Solution

• Infinitely Many Solutions

What is the first step in solving systems with substitution?

• Isolate a variable ex. Change 3y + x = 3 to x = -3y + 3

• Substitute and solve for a variable ex. y = 3x + 2 plug (3x + 2) into y in the other equation to solve for x

• Substitute the value of a variable you already solved for and solve for the remaining variable ex. use x = 3 plug it in 3(3) + y = 0 and solve y = -9

• The Egg

Which has the correct order of steps for solving systems by substitution?

• 1. Isolate a variable ex. Change 3y + x = 3 to x = -3y + 3
  2. Substitute and solve for a variable ex. y = 3x + 2 plug (3x + 2) into y in the other equation to solve for x
  3. Substitute the value of a variable you already solved for and solve for the remaining variable ex. use x = 3 plug it in 3(3) + y = 0 and solve y = -9
  4. Check your solution! ex. solution is (3, 5) plug it in to your original equations and see if they are true.

• 1. Check your solution! ex. solution is (3, 5) plug it in to your original equations and see if they are true.
  2. Isolate a variable ex. Change 3y + x = 3 to x = -3y + 3
  3. Substitute and solve for a variable ex. y = 3x + 2 plug (3x + 2) into y in the other equation to solve for x
  4. Substitute the value of a variable you already solved for and solve for the remaining variable ex. use x = 3 plug it in 3(3) + y = 0 and solve y = -9

• 1. Isolate a variable ex. Change 3y + x = 3 to x = -3y + 3
  2. Substitute and solve for a variable ex. y = 3x + 2 plug (3x + 2) into y in the other equation to solve for x
  3. Substitute the value of a variable you already solved for and solve for the remaining variable ex. use x = 3 plug it in 3(3) + y = 0 and solve y = -9
  4. Don't check your solution, you are always right

• Shen Yun

Which answer has a correct first step for this system:

3x + 3y = 3

y = 3x + 5

• The variable is already isolated, so we've already solved the system.

• The variable is already isolated for y, so we substitute it in the first equation and solve for x

  3x + 3(3x + 5) = 3

• Free sha vaca doo

• The variable is already isolated for y, so we substitute it in the second equation and solve for x

  y = 3(3x + 3y) = 3

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.C.6