Review for Equations Quiz

​What is the equation for the speed of fright?

​Eeek! = MC Scared

Solving equations

• use inverse operations to isolate the variable

• keep the equation balanced by performing the same operation on both sides of the equals sign

Fill in the Blank

Inverse means

Multiple Choice

Which of the following inverse operations is incorrect?

• inverse of addition is subtraction

• inverse of multiplication is division

• inverse of division is squaring

• inverse of multiplication is division

Parts of a Two Step Equation

Coefficients are attached to a variable through multiplication or division.

A variable is an unknown value.

Constants are values, expressed as real or imaginary numbers.

How to Solve Two Step Equations

Use inverse opperations.

Undo addition or subtraction.

Undo multiplication or division.

r - ( -2 ) = -15

• rewrite as addition

• r + 2 = -15

• subtract 2 from both sides

• r = -17

Multiple Choice

What is undone first in:

3x + 1 = 19

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

What is undone second in:

$$\frac{n}{4}-5\ =\ 2$$  

• Addition.

• Subtraction.

• Multiplication.

• Division.

Multiple Choice

Solve for .

$$-4+4x=6x-4$$  

• x = 0

• x = 4

• x = -4

• No Solution

Multiple Choice

Ken is thinking of a number. Nine more than the product of 4 and the number is 73. What is the equation?

• 4 + 9x = 73

• 4x = 73

• 4x + 9 = 73

• 9x + 4 = 73

Multiple Choice

$$\frac{2}{3}x\ +\ 1\ =\ \frac{5}{3}$$  

What is the value of x?

• 0

• 1

• 2

• 3

Multiple Choice

-4x+1=21

• x=120

• x=5

• x=30

• x=-5

Multiple Choice

3c + 5 = 23

• c = 3

• c = 6

• c = 7

• c = 18

Steps to Follow:

1. Distribute
2. Combine Like Terms
3. Move your variable to one side of the equation (add or subtract)
4. Move your constants to the other side of the equation (add or subtract)
5. Solve - isolate the variable (multiply or divide)

Let's Solve: -8(-8x - 6) = -8x - 22 + 2x

Step One: Distribute

Multiple Choice

After applying the distributive property to the following equation, what would be the result: -8(-8x - 6) = -8x - 22 + 2x

• 64x + 48 = -8x - 22 + 2x

• -64x - 48 = -8x - 22 + 2x

• 8x - 6 = -8x - 22 + 2x

-8(-8x - 6) = -8x - 22 + 2x

64x + 48 = -8x - 22 + 2x

Step Two: Combine Like Terms

Multiple Choice

After combining like terms in the following equation, what would be the result: 64x + 48 = -8x - 22 + 2x

• 64x + 48 = -10x -22

• 112 = -28x

• 64x + 48 = -6x - 22

-8(-8x - 6) = -8x - 22 + 2x

64x + 48 = -8x - 22 + 2x

64x + 48 = -6x - 22

Step Three: Move your variable to one side of the equation.

Multiple Choice

After moving the variable to one side in the following equation, what would be the result: 64x + 48 = -6x - 22

• 70x + 48 = -22

• 58x + 48 = -22

• 48 = 70x - 22

-8(-8x - 6) = -8x - 22 + 2x

64x + 48 = -8x - 22 + 2x

64x + 48 = -6x - 22

70x + 48 = -22

Fourth Step: Move your constant to one side of the equation.

Multiple Choice

After moving the constant to one side in the following equation, what would be the result: 70x + 48 = -22

• 70x = 70

• 70x = -70

• 70x + 70 = 0

-8(-8x - 6) = -8x - 22 + 2x

64x + 48 = -8x - 22 + 2x

64x + 48 = -6x - 22

70x + 48 = -22

70x = -70

Final Step: Solve by isolating the variable (multiply or divide)

Multiple Choice

What is the solution to the equation: 70x = -70

• 1

• 70

• -1

• -70

Multiple Choice

8v - 4(v + 8) = 8

• 2

• 10

• 4

• -4 

Multiple Choice

What is the solution to this equation?

2x + 3 = x − 4

• -3

• 0

• -7

• 7

Multiple Choice

-(n - 8) = -2

• 6

• 10

• -10

• -6

Multiple Choice

What is the coefficient of x?

$$-3x\ =\ 12$$  

• -3

• 12

Finding Perimeter of a Rectangle

2(Length) + 2(Width)

Multiple Choice

Which expression represents the area of the rectangle?

• 2x² + 3x

• 2x² + 3

• 3x + 3

• 4x² + 9

Multiple Choice

Which expression represents the perimeter of the triangle?

• 8xy + 3

• 5x + y + 3

• 5x + 4y + 3

• 6x + 3y + 3

Multiple Choice

Find the perimeter of the rectangle.

• 3x + 7

• 6x + 14

• 18x + 6

• 18x + 6

Multiple Choice

Find the area of the rectangle.

• 9x² - 2x

• 9x² - 2

• 10x - 2

• 20x - 4 

Multiple Choice

How much paint for the walls?

• perimeter

• area

Multiple Choice

A walk around the lake...

• Perimeter

• Area

Multiple Choice

Find the area of a triangle with a height of 4 cm and a base of 7 cm.

• 9 cm²

• 14 cm²

• 22 cm²

• 28cm²

Multiple Choice

Find the area of the following triangle:

• 12 units

• 6 units

• 20 units

• 12 units

Multiple Choice

What is x if the perimeter of the following rectangle is 42?

•  18

•  2

•  5

•  8

Multiple Choice

^{The perimeter of the
 triangle is 10x+20. Find the length of the missing side}

• 6x+10

• 15x+30

• 5x+10

• 5x-10

Multiple Choice

Which of the following best represents the perimeter of the given polygon?

• 4x + 28

• 2x + 21

• 3x + 21

• 4x + 21

Multiple Choice

Find the area of the rectangle:

(Length is x + 2, Width is 4)

• 2x + 8

• 2x + 2

• 4x + 8

• 4x + 2