Expressions, Expressions, Expressions!

Combining Like Terms

1

Simplify:  3a - 7a

-4a

2

Simplify:  4c + 8c - 12c

0

3

Simplify:  -4k - 3k + 11 - 5

-7k + 6

4

Simplify: -8y + 5y - 2 + 12 + 6y

3y + 10

5

Simplify:  

(-48m)/(-6m)

8

Distributive Property and Math Vocab

1

Distribute:  2(3 + 6n)

6 + 12n

2

Tells how many times the base appears in the expression.

exponent

3

Substituting a number for a variable in an expression and finding the answer.

evaluating 

4

The rules which tell which calculations are done before others in an expression.

Order of Operations

5

Distribute & Simplify:  

-2(x - 3y) + 6(x - y + 3) 

4x + 18

Math Properties

1

Name the Property:

3 + 4 = 4 + 3

Commutative Property

2

Name the Property:

3x + (2x + 4x) = (3x + 2x) + 4x

Associative Property

3

The Math Properties (Associative, Commutative, Identity, Distributive) can only be used when....

 (Hint: Think Math OPERATIONS!)

Adding and Multiplying

4

Name the Property:

7,891 x 1 = 7,891

Multiplicative Identity Property

5

Distribute:

3(4y + 7n - 12)

12y + 21n - 36 

Evaluating Expressions

1

Evaluate the Expression: 6a + 3b

Let a = 4 ; b = 5

6(4) + 3(5) 

24 + 15

39

2

Evaluate the Expression: 28e - 21f + 23

Let e = 9, f = 2

28(9) - 21(2) + 23

252 - 42 + 23

210 + 23

233

3

-56ay - 8a

Let a = 3, y = 8

-56(3)(8) - 8(8)

-1,344 - 64

-1,408

4

Factor: 12a - 8b + 20c - 19d

Let a = 6 ; b = 3 ; c = 2 ; d = 5

12(6) - 8(3) + 20(2) - 19(5)

72 - 24 + 40 - 95

48 + 40 - 95

88 - 95

-7

5

Evaluate the Expression: -12nx + 21ny + 36ny - 24nz

Let n = 3; x = 1; y = 2, z = 6

-12(3)(1) + 21(3)(4) + 36(3)(2) - 24(3)(6)

-36 + 252 + 216 - 432

216 + 216 - 432

432 - 432

0

Random. Enter at your own risk...

1

Simplify using PEMDAS:  

-5(3+2²) + (-7)

(DOUBLE POINTS!!!)

-42

2

Louisa is building a sandbox that has an area of 84 square feet. What are the possible whole number measurements for the length and width of the sandbox?

1, 84; 2, 42; 3, 28; 4, 21; 6, 14; 7, 12

3

(DOUBLE POINTS!!!)

Hans is doing a science experiment in which he measures the rate at which bacteria multiply. Every 15 seconds, the bacteria double in number. If there are 10 bacteria now, how many will there be in 2 minutes?

2,560 bacteria

4

A car salesman has a basic salary of $2,500 a month. For every car sold, he gets a commission of $700. Let c be the number of cars that he sells in a month. Write an expression showing his monthly salary in terms of c.

$2,500 + $700c

5

Angela earns x dollars an hour. On Friday, she worked 6 hours. On Saturday, she worked 8 hours. Which expression shows how much she earned both days?

6x + 8

8x × 6x

(6 + 8)x

(6+8)/x

(6 + 8)x