Algebraic Expressions
Properties of x and +
The Distributive Property
Factoring Expressions GCF
Algebra in the Real World!
100

Evaluate the expression when x = 7 and y = 4.

8x + 4

  What is 60.

100

Tell which property the statement illustrates.


8 x 3 = 3 x 8

What is the commutative property of multiplication.

100

Solve mentally by using the distributive property of multiplication.

8 x 26 

What is 8(20) + 8(6) = 120+48=168

100
Factor the expression using the GCF.


 32 + 24

What is  8( 4 + 3)

100

A car travels 45 miles on one gallon of gas.  Write an algebraic expression to find the distance the car travels using  x gallons of gas.

The car uses 10 gallons of gas.  How many miles does it travel?

What is 45x

What is 450 miles

200
Write the phrase as an expression.


8 multiplied by 9

What is  8 x 9

200

Tell which property the statement illustrates.  


  0 + x =x

What is the addition property of zero.

200

Use the distributive property to simplify the expression.

13 (+ 2 + 4)

What is 13x + 78

200

81 - 72

What is 9(9-8)

200

The running time in minutes of a TV episode is 40-0.5c where c is the number of commercials aired during the episode.  What is the running time of an episode with 10 commercials?

What is 35 minutes

300

Evaluate the expression when g = 15


          56 - g

What is 41.
300

Tell which property the statement illustrates.


( + 4.5) + 5.6 = y + ( 4.5 + 5.6)

What is the associative property of addition.

300

Simplify the expression.


10( 5 - y)

What is 50-5y

300

Factor the expression using the GCF

  27k - 6

What is  3(9k - 2)

300

Mr. Volk works 8 hours on a weekday and 5 hours on a weekend day.

a.Write an expression for the total hours Mr. Volk works on weekdays and  y weekend days.

b. Use the expression to find the number of hours that Mr. Volk works on 3 weekdays and 2 weekend days.

a.  What is 8x + 5y


b.  What is 34 hours.

400

Write the phrase and an expression.  Then evalute the expression when x=5 and y = 7.

The product of 6 and a number x.

What is 6x.


What is 30.   

400

Tell which property the statement illustrates.


 8 + m = m + 8

What is the commutative property of addition.

400

Simplify the expression.


5(6 + x - 4)

What is 5+ 10

400

Factor the expression using the GCF

5+ 60y


What is  5(x + 12y)

400

The sides of a square each have a length of 14x inches. Write an expression for the perimeter of the square in inches.

What is 4(14x) inches.

500

Write the phrase as expression and then evaluate the expression when x=7 and y=4.

The quotient of a number and 2 plus a number x.

What is (y/2) + x


What is 9.

500

Tell which properties  are illustrated by the statement.

 (8 + m) + 9 =   m + (8 + 9)

What is commutative property of addition and associative property of addition.

500

Simplify the expression.

8(k + 3) - 3k

What is 5k + 24

500

Factor the expression using the GCF


12x-6y

What is 6(2x-y)

500

To find the sales tax on an item, divide the price of the item by 10.

a.  Write an algebraic expression to find the sales tax on an item that costs d dollars.

b.  Find the sales tax on a couch that costs $550.

a.  What is d/10.


b.  What is $55.