Solving Inequalities and Equations

Solving Inequalities and Equations

Steps for Solving Equations

• Distribute if needed

• Combine Like terms on each side

• Move all variable terms to one side

• Move all Constants to the other side

• Solve for the variable by dividing or multiplying by the number with the variable

Multiple Select

Check the boxes below to tell me how you would solve the following equation:      $$2-3x=29$$  

• Add 2 to both sides

• Subtract 2 from both sides

• Subtract 29 from both sides

• Divide both sides by -3

• Divide both sides by 3

Multiple Choice

Solve: $$-6x-10x-55=137$$  

• 48

• -12

• 12

• -48

Multiple Choice

Solve: $$8\left(x+5\right)+4=60$$  

• -2

• 6.375

• 2

• 8

Multiple Choice

Solve: 3y = 42

• 39

• 14

• 126

• 45

Multiple Choice

What is the value of y that satisfies the equation above?    $$\frac{y}{3}-9=12$$  

• 3

• 9

• 21

• 63

Solving Inequalities

• Same steps as solving Equations

• Distribute if needed

• Combine Like terms

• Move variable terms to one side and Constants to other

• Solve for variable by multiplying/dividing

Inequalities

IF DIVIDE OR MULTIPLY BY A NEGATIVE - FLIP YOUR SIGN

Multiple Choice

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥

• <, >

Multiple Choice

Which number line shows the solution set to the inequality below?

x - 3 > -3

Multiple Choice

What inequality does the number line graph represent. 

• x < 2

• x > 2

• x ≥ 2

• x ≤ 2

Multiple Choice

Solve the inequality: x + 5 ≤ 13

• x ≥ 8

• x ≥ 18

• x ≤ 8

• x ≤ 18

Multiple Choice

2x < -3x + 15

• x > 3

• x > 15

• x < 3

• x < 15

Multiple Choice

When graphing an inequality, you use an open dot when you use which symbol?

• <, >

• ≤, ≥ 

• ≤, <

• ≥, >

Multiple Choice

Solve and choose the correct graph.

• A

• B

• C

• D

Multiple Choice

Solve: -1(2x + 4) ≥ 6

• x ≤ -5

• x ≥ -5

• x ≤ -1

• x ≥ -1

Multiple Choice

Solve: 2x - 3 ≥ 4x - 1

• x ≤ -1

• x ≥ -1

• x ≤ 1

• x ≥ 1