Simplifying Algebraic Expressions 7th

Vocabulary Terms

100

a letter that is used to represent an unknown number

variable

200

what does the word simplify mean?

to make shorter, easier, more concise

300

the distributive property should always be associated with which basic operation?

multiplication

400

what do you call the number that is in front of a variable?

coefficient

500

what makes the expressions that we have been working with algebraic?

the variable

Combining Like Terms

100

8a + 15a + 8 + 2a

25a + 8

200

5x + 7 - 3x + 1

2x + 8

300

4p - 8p + 3 - 12 

-4p - 9

400

8 + 4x + 9 - 2x + 3y + 7x

9x + 3y +17

500

12 + 8y - 8x + 3y + 2 + 3x

-5x + 11y + 14

Distributive Property

100

3(11x + 8y + 3)

33x + 24y + 9

200

-4(x - 12y + 5)

-4x + 48y - 20

300

3x + 6(2x + 2y - 7)

15x + 12y -42

400

-2(x - 8y + 7) + 18y 

-2x + 34y -14

500

3x + 3(4x + 7y + 9) + 8y

15x +29y +27

Random Math

100

What is the perimeter of a garden with a width of 18 ft and a length of 45 ft?

126 ft

200

Find the mean of the following numbers:

7, 4, 9, 1, 3, 6

5

300

Solve the following equation:

x - 14 = 38

 x=52

400

What is the area of a garden with a length of 25 feet and a width of 6 feet?

150 ft²

500

Solve the following equation:

8b=56

b=7