Absolute Value, Integers, and Opposites

Definitions

100

The definition of a VARIABLE.

(What is) a letter that represents an unknown number, usually one we want to know.

200

The name of these brackets | |.

(What is) ABSOLUTE VALUE?

300

The definition of ABSOLUTE VALUE.

(What is) how far away from zero the number inside the brackets is?

400

The definition of INVERSE OPERATION

(What is) any pair of math operations which "undoes" the effect of the other.

(Ex: Add/Subtract, Mult./Division)

500

Terms whose variables and exponents are the same.

(What is) LIKE TERMS?

Ex: 2x² and -x² are like terms.

Absolute Value

100

|x|=4.

(What is) x=-4, 4?

200

4|x| = 12.

(What is) x=-3, 3?

300

|n+5|=9.

(What is) n=-14, 4?

400

|x-1| = -4. (Careful!)

(What is) NO SOLUTION!!!

Isolated absolute values CANNOT equal a negative!

500

-5|3m-5|=-85.

(What is) m=-4, 22/3?

Translating English to Math

100

A number take away thirty.

(What is) x-30?

200

Four times a number squared.

(What is) 4x²?

300

The quotient of a number and 15.

(What is) x/15?

400

Four more than the sum of a number and a different number

(What is) 4+(x+y)?

500

Seventeen less than the product of eight times a number cubed.

(What is) 8x³-17?

Simplify

100

Simplify 2y² + 6y² - y².

(What is) 7y²?

200

Simplify 8x² - 4 - 6x².

(What is) 2x² - 4?

300

Simplify n² - n³ + 3n² - 80.

(What is) -n³ + 4n² - 80?

400

Simplify p² - 5p² + 7p³ - 4p² - 6.

(What is) 7p³ - 8p² - 6?

500

Simplify 4a² - 2a³ + 7a³ - 5a² - 8a - 2 + 8a + 8.

(What is) 5a³ - a² + 6