Solving One Variable Inequalities

1-7 Solving Inequalities w/ Variables on Both Sides

A.5b

Poll

Would you rather spend the night at the zoo or spend the night at the library?

• Zoo

• Library

Multiple Choice

The sides of a triangle are (2t+1), (4t-3) and 5t-6). Which expression represents the PERIMETER of the triangle?

• $$11t-8$$

• $$11t^2-8$$

• $$11t-10$$

• $$40t+18$$

Multiple Choice

Look at the inequality below, how can it be simplified?

$$2\left(3x-4\right)-1<3\left(4x+1\right)$$  

• $$x<-2$$  

• $$x>-2$$  

• $$x<\frac{4}{3}$$  

• $$x>-\frac{4}{3}$$  

1-7 Solving Inequalities with Variables on Both Sides (A.5b)

I can solve inequalities with variables on both sides.

Multiple Choice

For the first 40 hours of work each week, Mr. Ericson earns $600 For each hour over 40 hours, Mr. Ericson earns $22.50 an hour. The company can pay each employee up to $960 per week. What is the maximum number of hours Mr. Ericson can work and still avoid going over the weekly budget?

• 16 hours

• 40 hours

• 56 hours

• 60 hours

Multiple Choice

Twelve less than 5 times a number is greater than or equal to 6 more than twice a number. What is the solution to this inequality?

• $$\ x\ge-2$$  

• $$x\le-2$$  

• $$x\ge6$$  

• $$x\le6$$  

Fill in the Blank

$$55.2x-75>29.7x+52.5$$  

Open Ended

Tell me what you are still having trouble with (about equations or inequalities)

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