Solving and Graphing Two-Step Equations and Inequalities

• 145

• 165

• 180

• 190

Do I need to flip my sign?
-3x  ≥ 12

• Yes, because I'll be dividing by a negative number

• No, because you never flip the sign. 

Solve for k in the following inequality and choose the best answer to match the graph: 2k - 9 ≤ -19

• The graph would have a closed circle shaded left at -5.

• The graph would have a closed circle shaded left of 5.

• The graph would have an open circle shaded left of -5.

• The graph would have an open circle shaded left of 5.

When solving the following inequality, what is the FIRST step you would do? -4x + 8 > -15

• Add 8 to both sides of the inequality.

• Divide by negative four on both sides of the inequality.

• Subtract negative eight to both sides of the inequality.

• Subtract eight to both sides of the inequality.

Solve the following inequality and choose the best answer: 4x - 8 < -16

• The graph would be an open circle shading right of 2

• The graph would have a closed circle shading left of -2

• The graph would have an open circled shading left of -2

• The graph would have a closed circle shading right of 2

The objective when solving an equation is to....

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

Solve   -3x + 5 = -16

• 9

• 8

• -7

• 7

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

• ≤, ≥ 

• <, >

What would be the first step in solving the equation for 2x+7=15?

• Add 7 to both sides

• Subtract 7 from both sides

• Divide both sides by 2

• Multiply both sides by 2

Pick the correct letter for:
6 > x

• A

• B

• C

• D