Algebra Application and Review

Algebra Application and Review

This lesson is to help us review our skills in Algebra and apply our knowledge using word problems.

Multiple Choice

Which phrase best describes the expression  $5x\cdot6y\cdot10z$  ?

• The product of three terms.

• The quotient of three variables

• The difference of three coefficients.
  

• The sum of three terms. 

Multiple Choice

What is the value of $5x^2$  when x = 2.5?  Remember PEMDAS!

• 25

• 31.25

• 28.75

• 56.25

Multiple Choice

What is the value of ab - c when a = 3, b = 4, c = 5?

• 19

• 2

• 9

• 7

Multiple Choice

Which expression is equivalent to $\frac{1}{2}\left(10x\ -\ 8\right)$  ? 

• 5x - 8

• 5x - 4

• 20x - 4

• 20x - 8

Example Problem

• The base (length) of a rectangle is 3x + 5 and the height (width) is x + 3. What is the perimeter of the rectangle?

YOUR TURN!!

Multiple Choice

A rectangle has a base (length) of 5x + 2 and a height (width) of 2x - 3. What is the perimeter of the rectangle?

• 7x + 5

• 7x - 1

• 14x - 10

• 14x - 2

Substitution

What value from the set {1, 2, 3, 4} makes

 $x\left(3x\ +\ x^2\right)\ =\ 112$  ?

Multiple Choice

What value from the set {12, 24, 36, 48} will make $\frac{x}{3}=12$  true? 

• 12

• 24

• 36

• 24

Multiple Choice

A square has a base of x units. Which expression could help you find the perimeter of the square?

• 2x

• $x^2$

• 4x

Multiple Choice

Which equation is true when $x\ =\ \frac{1}{2}$  ?

• 6  $\div\ x\ =\ 3$  

• 10  $\cdot\ x\ =\ 20$  

•  $x\ +\ 2\ =\ 1$  

•  $6\ \cdot\ x\ =\ 3$  

Example of application of algebra in the real-world.

The cost to rent a game is $6.00 plus $1.75 per day. Write an expression that fits this situation.

You try!

Open Ended

The cost to rent a movie theater is $99.00 plus $2.50 per hour being used. Write an expression that fits this situation.

Multiple Choice

What is the value of x in the equation $5.5x\ =\ 137.5$  ?

(Use a calculator!)

• x = 25

• x = 35

• x = 15 

• x = 20

Discussion

• Problem: The East McDowell Baseball team is wanting to sell hats for a fundraiser.

• The school spent $481.50 on the hats.

• Each hat will sell for $16.

• Write an equation that can be used to find the number of hats, x, the team has to sell to earn their money back they spent.