Equations and Inequalities Review

Equations and Inequalities Review

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Simplifing Expressions

• Combine Like Terms

• Use the Distributive Property

Multiple Choice

Simplify:

3x + 2y - 5x + y

• -2x + 3y

• 8x + 3y

• 5xy

Multiple Choice

n -10 +9n -3=

• -3
• 9n-3
• n
• 10n -13

Multiple Choice

Rewrite the expression by combining like terms.
5x² + 5y + 2x² + 4y² – 4x² + 2y² - 4y

• 3x² + 3xy + 6y
• 6y² + 2xy + 2x
• 7x² + 35x
• 3x² + 6y² + y

Solving Equations

• Simplify if you can

• Get variable on left side

• Get constants on the right side

Multiple Choice

What is the first step in solving this Equation?

4x + 2 = x + 8

• Subtract x on both sides

• use the distributive property

• Combine like terms

Multiple Choice

What is your next step?

3x + 2 = 8

• Subtract 2 on both sides

• Divide both sides by 3

Multiple Choice

What is the last step

3x = 6

• Divide by 3 on both sides to get x = 2

• Add three to both sides

• Subtract 3

Remember:

Work Backwards and do the opposite to solve an equation or inequality.

Multiple Choice

List the steps to solve this equation

2x - 5 = 15

• add 5, then divide by 2

• subtract 5 and multiply by 2

• multiply by 5, then subtract 2

Multiple Choice

$$\frac{r}{10}+4=5$$  

• r=10

• r=3

• r=7

• r=-6

Multiple Choice

3x + 2(4x - 4) = 3

• 4
• 3
• 2
• 1

Equations Continued

• One solution answers

• Infinite Solutions

• No solutions

Multiple Choice

Which answer is an example of one solution?

• x = -2

• 5 = 5

• -6 = 2

Multiple Choice

Which answer is an example of No Solution?

• x = 3

• -4 = 9

• 5 = 5

Multiple Choice

The equation 2(x-1) = 2x -2 has a solution of -2 = -2

What type of answer is this?

• One solution

• Infinite Solutions

• No solutions

Inequalities

Having multiple answers

Graphing Inequalities

Solve inequalities

• Use the same steps as Solving equations

Multiple Choice

Solve the inequality a - 12 < 5

• a > 17

• a < 17

• a = 17

Multiple Choice

What inequality does the number line graph represent?

• x >= 3
• x > 3
• x < -3
• x <= 3

Multiple Choice

Solve and graph the inequality b - 6 < -15

• A
• B
• C
• D

Multiple Choice

Solve
-5m < 10

• m < -2
• m > -2
• m < -50
• m > -50

Multiple Choice

Match the graph with its inequality.

• b > –2
• b < –2
• b ≥ –2
• b ≤ –2

Multiple Choice

Pick the correct letter for:

x < 6

• A

• B

• C

• D