Polynomial Expressions, Equations, & Inequalities Review

Simplify Expressions

100

Simplify

-3(4x - 2) 

What is:

-12x + 6

200

Simplify and write in standard form

15j² + 5j - 7j³ - 2j² + 6

What is:

-7j³ + 13j² + 5j + 6

300

Simplify

12y² - 2y + 3 - (2y² + 5y -7)

What is:

10y² - 7y +10

400

Find the product and write in standard form

(x + 4)(3x - 6)

What is:

3x² + 6x - 24

500

Justify each step to find the equivalent expressions

3(x + 2) - x + 2x² = 2x² + 2x + 6

What is:

3x + 6 - x + 2x²       distributive

2x² + 3x - x + 6       commutative

2x² + 2x + 6            combine like terms

Solving Equations

100

Solving Equations

Solve for x. 

5x + 4 = -4(x - 1)

What is: 

x = 0

200

Solving Equations

Solve for x.

2x = 8(x + 3)

What is: 

x = -4

300

Solving Equations

Solve for x. 

5x - 5 = 25

What is: 

x = 6

400

Solve for v. 

-v/2 + 14 = 30 

v = -32

500

Create an equation that represents the following expression and then solve it.

Harvey's age doubled is 6

2a = 6

a = 3

Solving Inequalities

100

Solving Inequalities

Solve for c. 

c - 11 > 22

What is: 

c < 33

200

Solve for x

-2x < 4

x > -2

300

Solve the inequality.

-2(x - 2) < -20

x > 12

400

Write an Inequality 

j is less than 8

j _>_ 8

500

Modeling and Solving Inequalities

Create an inequality to represent the scenario and solve the inequality

Julie earns $7 for each car she washes. This week, she wants to save more than $56. How many cars must she wash?  

What is: 

 7c > 56

True/false

100

We use inverse operations to solve equations and inequalities?

True

200

Addition is the inverse of division?

False

300

We use a closed circle to represent the inequalities < and > ?

False

400

Inequalities only have one solution, just like equations.

False. Inequalities have infinitely many solutions. 

500

Given c + 4 > 14

We use the inverse operation of subtraction to solve the inequality.

TRUE

RANDOM

100

The steps you take to solve a variable equation should ALWAYS result in doing what to the variable?

ISOLATING the variable

200

When solving an inequality, under what conditions do you reverse (flip) the inequality symbol?

When you are multiplying or dividing by a NEGATIVE number

300

 If I solve for a variable and my solution is 

-x = 5, how do I write my answer?

 x = -5

400

Who is Ms. G's favorite student?

All of y'all are my favorites

500

Where did Ms. G go to undergrad - college?

Marquette