Operations with Polynomials

Vocabulary

100

An equation written without an equal sign. 

What is an Expression?

200

Expressions that work the same even though they look different

What is an equivalent expression?

300

An expression of more than two algebraic terms

What is a polynomial?

400

The relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”

What is an inequality?

Adding/Subtracting Polynomials

100

Simplify: 4x² - 2x + 3x² - 7x

What is 7x² - 9x?

200

Simplify x³ + 12x -2x³ -6x

What is -x³ + 6x?

300

Simplify: (2x³ + x² - 6) - (2x³ - x² + 12)

What is 2x² -18?

400

Simplify: (x³ + 2x² - 6x - 9) - (2x³ + 3x² - 10x + 2)

What is -x³ - x² + 4x - 11?

Multiplying Polynomials

100

Find the Product: (2x²)(3xy)

What is 6x³y?

200

Find the product: (-3xy)(2x²y³)

What is -6x³y⁴?

300

Find the product: 4p²q (2pq - 6pq²)

What is 8p³q² - 24p³q³?

400

Find the product: 2x²y³z⁵ (3xy² - 6x²z²)

What is 6x³y⁵x⁵ - 12x⁴y³z⁷?

True/False Equations

100

Is the following expression true, false, or open? 2x + 6 = 8

What is open?

200

Is the following equation true, false, or open? x² + 3 = 6 when x = 2

What is false?

300

Is the following equation true or false? x² - 4 = 0 when x = -2

What is true?

400

Is the following true or false? x³ - 9 when x =2 

What is false?

Solving Linear Equations

100

Find a Solution to the following Equation: x - 22 = -7

What is x = 15?

200

Find a solution to the following equation: 5x = -60

What is x = -12?

300

Find the solution: -x/5 + 6 = 8

What is x = -10?

400

Find the solution: -4/5x - 6 = 9

What is -75/4?