SOLVING EQUATIONS REVIEW

SOLVING EQUATIONS: EXAM REVIEW

MULTISTEP EQUATIONS

KEY POINTS

• Keep the equation balanced: Whatever you do on one side, do the same thing on the other side.

• Isolate the variable on one side of the equation.

• Simplify using opposite operations (inverse) to find out what variable equals to.

Fill in the Blanks

To keep the equation balanced, whatever you do on one side

Let's get starterd!

One Step Equations

Multiple Choice

Solve for x.

24 + x = 34

• 10

• -10

• 58

• -58

Multiple Choice

Solve for y.

-10= y - 36

• -46

• 46

• 26

• -26

The KEY is One Step at a Time!!!!!

• Apply distributive property if there is a parenthesis.

•  Isolate the variable on one side of the equation

• Eliminate other terms using opposite operations

• Divide both sides with the coefficient (the number next to the variable).

Are you ready for multi-step equations!

Let's start!

Multiple Choice

What is our first move solving this equation?

5x + 1 = x + 27

• Apply distributive property

• Divide both sides

• Isolate x on one side

Multiple Choice

Solve for x.

5x + 1 = x + 27

• 6

• 7

• 8

• 9

Multiple Choice

What is our first move solving this equation?

- 7x - 5= - 4x - 29

• Divide by 4.

• Add 4x on both sides.

• Subtract 7x from both sides.

Multiple Choice

Solve for x.

- 7x - 5= - 4x - 29

• 8

• 9

• 10

• -8

Multiple Choice

What is our first move solving this equation?

2(3y + 1) = 20

• Multiply 2 with 3y and 1

• Divide by 3

• Subtract 20 from both sides

Multiple Choice

Solve for x.

2(3y + 1) = 20

• 3

• -3

• 4

• -4

Types of Solutions

One Solution: When the variable equals to a number.

Types of Solutions

No solution: When each side of the equation has a DIFFERENT NUMBER and no variable left!

Types of Solutions

Infinitely Many Solution: When both sides of the equations are THE SAME.

Solution Types

One Solution, No Solution, Infinitely Many Solutions

Fill in the Blanks

When both sides of the equations are the same, the equation has

Fill in the Blanks

When each side of the equation has a different value and no variable, the equation has...

Fill in the Blanks

When the variable equals to a number, the equation has ...

Multiple Choice

What is the solution?

7 = 23

• One Solution

• No solution

• Infinitely Many Solution

Multiple Choice

What is the solution?

y = 56

• One solution

• No Solution

• Infinitely Many Solutions

Multiple Choice

What is the solution?

x = x

• One solution

• No solution

• Infinitely Many solutions

Multiple Choice

What is the solution?

18 = 18

• One solution

• No solution

• Infinitely many solutions

Independent Practice vs. Small Groups

• Group A will be working on DeltaMath: Equations Review Task (stay on the zoom).

• Group B will be working with Mrs. Haque in breakout room--> move to DeltaMath: Equations Review Task.