Multi-Step Linear Equation or Inequality in One Variable

Peter incorrectly solved the equation 86=-5(-6+2x)+3x as shown.

Step 1: 86 = -5(-6 + 2x) + 3x
Step 2: 86 = 30 + 10x + 3x
Step 3: 86 = 30 + 13x
Step 4: 56 = 13x
Step 5: 4.3 = x

• Step 1 and Step 2

• Step 2 and Step 3

• Step 3 and Step 4

• Step 4 and Step 5

Tags

CCSS.HSA.REI.A.1

What goes in line 4 of the reasons?

• Subtraction POE

• Division POE

• Distributive Property

Tags

CCSS.HSA.REI.A.1

Explain what moves you would need to do to solve for the following: 5\left(x\ +2\right)=25 Select all the moves that apply.

• Distribute

• add 10 to both sides of the equation

• subtract 10 from both sides of the equation

• divide both sides of the equation by 5

Tags

CCSS.HSA.REI.A.1

-3 − 6(4x + 6) > -111

• x > 3

• x < 3

• x < -3

• x > -3

Solve the following inequality:
-4x + 14 ≤ 54

• x ≥ -10

• x ≤ -10

• x ≥ 10

• x ≤ 10

Tags

CCSS.7.EE.B.4B

Solve

3x − (2 + 6x) ≤ -32

• x ≥ 10

• x< -10

• x ≥ -10

• All real numbers

Solve for x
2x−32<15

• 47

• 23.7

• 23.5

• 4

Solve the inequality: 7y - 4 ≤ 3y + 8

• y < -2

• y = 0

• y ≤ 4

• y ≥ 12

• Subtract 10 from both sides

• Add 10 from both sides

• Multiply -4 to both sides

• Divide by -4 to both sides

Tags

CCSS.7.EE.B.4A

requires three or more steps to solve the equation

• 1-step equation (inequality)

• 2-step equation (inequality)

• Multi-step equation (inequality)

• Order of Operations