8th grade review of 7th

Multiple Choice

2 - 4

• 2

• -8

• 6

• -2

Multiple Choice

What is 11 squared?

11²

• 132

• 144

• 121

• 22

Open Ended

Solve $$3^3$$  

A number standing on its own in an expression​

​Constant

Each piece of an expression that is separated by + or - signs (sometimes division).​

​Term

​KEY VOCABULARY

Take Away: Terms are separated by +/-, and constants are LONELY!​

An unknown represented by a letter in an expression.​

​Variable

A number attached to a variable by multiplication.​

​Coefficient

​KEY VOCABULARY

Take Away: Coefficients are attached to variables, and variables are letters!

Open Ended

What is a variable?

Open Ended

What is a cosntant?

The number connected to the OUTSIDE of the parentheses is "shared" BY MULTIPLICATION with all variables, constants, and coefficients on the INSIDE of the parentheses.​

​

​KEY TERMS: Constant | Variables | Coefficient

​Distribute = SHARE

​

​Distributive Property

​Draw your arrows, then multiply.

You are able to keep up with what terms to multiply when using the distributive property when you draw your arrows FIRST.​

Take Away: ALWAYS, ALWAYS DRAW YOUR ARROWS FIRST!​

Multiple Choice

Use the distributive property to solve:

6(y + 4)

• 6y + 24

• 6y + 4

• y + 24

• 6 + y + 4

Multiple Choice

Use the distributive property to solve:

5(2x - 3)

• 10x - 15

• 10x + 3

• 2x - 15

• 10x + 15

Fill in the Blank

Simplify the expression by distributing.

Fill in the Blank

Simplify the expression by distributing.

Multiple Choice

What does it mean to distribute?

• To multiply the numbers inside the parentheses by the number on the outside.

• To add all of the numbers together.

• To do the order of operations.

Fill in the Blank

$$6p-4=20$$  

Multiple Choice

After we draw the line and circle the variable, what is the first step in solving 6p - 4 = 20

• Subtract 4 on both sides

• Add 4 on both sides

Fill in the Blank

6p = ?

Poll

What is the last step?

6p = 24

• Divide by 6 on both sides

• Multiply by 6 on both sides

• Divide by 24 on both sides

• Add 24 on both sides

Multiple Choice

p = ?

• 6

• 4

• 2

• 24

2-Step Equations

How to Solve!

Get rid of the 3rd Wheel: Add or Subtract to get rid of the number

Break up the happy couple: Multiply or Divide both sides of the equation by the coefficient

Open Ended

Take out paper and solve: -5x + 3 = 23

Open Ended

Take out paper and solve: 7x - 4 = 24

Multiple Choice

The variable, k, is being divided by 11. How should you isolate the variable?  $$16=\frac{k}{11}$$  

• Divide both sides by 11

• Multiply both sides by 11.

• Add 11 to both sides.

• Subtract 11 to both sides.

Multiple Choice

What is the inverse operation of division?

• Division

• Multiplication

• Addition

• Subtraction

Multiple Choice

7b - 3 < 11

• b < 2

• 84 > b

• b > 2

• b < 84

Multiple Choice

4x - 2 ≤ -22

• x ≥ -5

• x ≥ -6

• x ≤ -6

• x ≤ -5

When you see an equation with variables on both sides you should:

• Move all the terms with variables to one side of the equation by making the term zero on one side.

• Remember that terms with variables can become zero the same way constants become zero: by adding the opposite or using the inverse operation.

• The equation stays balanced when you do the same thing to both sides.

It could look like this:

Multiple Choice

Let's try it! Choose the correct first step for this equation.

$$\ 7x\ =\ 2x\ -\ 20$$  

• Subtract 2x from both sides.

• Subtract 7x from both sides.

• Sutbract 20 from 2x.

Is this what you said?

Multiple Choice

Try another one. Choose a correct first step for this equation.

$$14\ +\ 3n\ =\ 5n\ -\ 6$$  

• Subtract 5n from both sides.

• Add 14 to 3n

• Subtract 6 from 5n

Multiple Choice

Using the math we just saw, solve this equation.

$$\ 14\ +\ 3n\ =\ 5n\ -\ 6$$  

• n = 10

• n = -10

• n = -18

• n = -22

Multiple Choice

Let's practice some more. What is the solution to this equation?

$$18\ -\ 2g\ =\ 4g$$  

• 3 = g

• g = 12

• 9 = g

• g = 16

Fill in the Blank

7w + 5 = 3w - 15

Fill in the Blank

Solve: 4x - 3 = 6x - 19

Multiple Choice

-5 - (- 3)

• -8

• 8

• -2

• 15

Multiple Choice

6 - (-4)

• 10

• 2

• -2

• -10

Multiple Choice

-18 +(-6)

• 3

• -3

• -12

• -24

Multiple Choice

Seventy feet above sea level

• positive

• negative

Multiple Choice

A decrease of 5 inches.

• positive

• negative

Multiple Choice

Which is the largest number?

• -1

• -10

• -20

• -17

Multiple Choice

Reduce the following fraction:
16/20 =

• 8/10

• 4/5

• 1/2

• 16/20

Multiple Choice

Solve:
-6 x (-5)

• -30

• 36

• 30

• -36

Multiple Choice

Solve:
4+ (-5) - 6

• 3

• 5

• -5

• -7

Multiple Choice

Determine which number sentence is true.

• 3.98 < 3.89

• 3.74 < 3.47

• 7.3 = 7.30

• 1.57 > 1.75

Multiple Choice

  6.1 + 1.2

• 7.2

• 7.4

• 7.5

• 7.3

Multiple Choice

  3.45 x 1.2

• 3.140

• 4.140

• 6.140

• 1.140

​Finding the Area

​Square Parallelogram Rectangle

Some text here about the topic of discussion

Multiple Choice

The base and height of a parallelogram must be...

• opposite

• at a right angle

• parallel

• a dashed line

Multiple Choice

To find the area of a rectangle you use the formula ...

• A = bh

• A = 1/2bh

• A = 1/3bh

• A = Bh