Unit 6 - Algebraic Expressions

Solving Expressions

100

5x + 2x

7x

200

4² + 5

21

300

If x = 4, what is the value of the expression?

6x + 3

27

400

If x = 5, what is the value of the expression?

4(x - 3)

8

500

If x = 6, what is the value of the expression?

5(x - 4) + 5

15

Words to Expressions

100

The sum of a number and 7.

x + 7

200

8 multiplied by a number.

8x

300

A number minus 15 is equal to 10.

x - 15 = 10

400

Triple a number plus 5 is 17.

3x + 5 = 17

500

Double the entire sum of a number and 3 is 14.

2(x + 3) = 14

Exponential & Expanded Form

100

7³

7 * 7 * 7

200

x * x * x * x

x⁴

300

5⁸

5 * 5 * 5 * 5 * 5 * 5 * 5 * 5

400

8 * 8 * 8 * 8 * 9 * 9 * 9

8⁴ * 9³

500

4³ * 3⁴ * 2² 

4 * 4 * 4 * 3 * 3 * 3 * 3 * 2 * 2

Inequalities

100

True or false ?

8 < 9

True.

200

True or false?

20 > 30

False.

300

What can x be that makes this inequality true?

37 < x

38, 39, 40, 41, etc, infinity

400

What can x be that makes this inequality true.

X < 9

1, 2, 3, ... , 6, 7, 8

500

What can x that makes this inequality true.

30 > x > 10

29, 28, 27, ... , 13, 12, 11

Area & Perimeter

100

How do you calculate perimeter?

Add up all of the sides.

200

How do you calculate the area of a 4 sided shape?

Multiply 2 sides together.

300

Draw a rectangle with the Perimeter 

12x +6

length = 6x

width = 3

400

Draw a square with the Perimeter 

32x

Side = 8x

500

What is the Area of a rectangle with the Perimeter 

6x + 14

Area = 21x²