Solving Equations, Inequalities, and Absolute Value

Solve:
2(4x-3) - 8 = 4 + 2x

• x = 5/3
• x = 3
• x = 1
• x = 2

-11 + 3(b + 5) = 7

• 1
• -1
• 3
• -3

Solve: 7(1 - y) = -3(y - 2)

• y = 1/4

• y = 4

• y = 5

Level 1

Match the graph with its inequality.

• 11 < a

• 11 > a

• 11 ≤ a

• 11 ≥ a

Level 1

Write an inequality for the statement:

You must be at least 48 inches tall to ride the bumper cars.

• h < 48

• h > 48

• h ≤ 48

• h ≥ 48

Level 2

The room can hold a maximum of 400 people. If there are already 134 people there, how many more can come? Identify the inequality that represents this situation.

• x - 134 < 400

• x + 134 < 400

• x - 134 ≤ 400

• x + 134 ≤ 400

-2(x+2) < 14

• x < - 5
• x > -5
• x < -9
• x > -9

Which graph represents the inequality 2x - 3 < - 7

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• 
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Does the sign need to flip when solving?

-2x ≥ 22

• YES

• NO

When do we switch the inequality symbol?

• when multiplying or dividing by a NEGATIVE

• when adding and subtracting a NEGATIVE

• we never switch the inequality

• When there is a negative in the problem