Unit 4: Algebraic Expressions

Verbal/ Algebraic Expressions

100

Five less than a number x

x-5

200

Seven more than a number x.

x+7

300

Three times the sum of a number x and three.

3(x+3)

400

The quotient of a number x and ten

x/10

500

2(x-1)

Two multiplied by a number and subtracted by one

Vocabulary

100

Sum/ Difference 

Adding two or more numbers together. 

Subtracting one number from another.

200

What is the COEFFICIENT in the following problem: 3x

In the expression "3x," the number "3" is the coefficient of the variable "x."

300

What does VARIABLE mean and what is the variable in the following expression: 8x-30

Is a symbol, usually a letter, that represents an unknown or changeable number. 

x is the variable.

400

What does EXPONENT mean? 

Write an example equation with an exponent in it. 

A little number written above and to the right of another number or variable. It tells you how many times to multiply that number or variable by itself.

500

What does PRODUCT mean?

What does QUOTIENT mean?

Multiplying two or more numbers together.

Dividing one number by another.

Combine Like Terms

100

3x - 10x

-7x

200

4-x+2x-6

x-2

300

6p-12m+3p+8m

9p-4m

400

-8x+12x+11+2³

4x+19

500

5y³+7-3x-2y³+10x

3y³+7x+7

Distributive Property

100

2(x+5)+6x

8x+10

200

12(x+1)-12+4x

16x

300

4(x-3)+8(4-x)

-4x+20

400

x²-6x(-5-8x)

49x²+30x

500

-6(6-10p)+2p(p-5)

2p²+50p-36

Distributive Property & Combining Like Terms

100

-4(x-8)

4x+32

200

3(r-8)+8

3r-16

300

-5(6a-10)+7(1+8a)

26a+57

400

-5(9b²-10)-2(1+9b)

-45b²-18b+48

500

-8k²+6k(-2k+3)-4²

-20k²+18k-16