Solving and Graphing Equations and Inequalities

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

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• 
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An inequality using a > or a < has a ___________ line

• invisible

• solid

• dashed

The graph of 
y ≥  x - 3 
is shaded ???

• Over / Above

• Under / Below

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

What is the solution to this inequality?

• x > −18

• x > 9

• x > 21

• x > −42

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.

The model represents an equation.

What value of x makes the equation true?

• 3

• 8

• 6

• 4

What is the value of x in this equation?

2x + 2 = −52

• −25

• −27

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

• ≤, ≥ 

• <, >