Solving Inequalities LL

Algebra Unit 4A

To write, graph and identify solutions of inequalities

Multiple Select

Warm up:       Solve for a 

 $14\ -\ a\ =\ -12$  

• a = 26

• a = -26

• a = 2

• a = -2

Multiple Choice

Which of the following includes solutions to:

 $x\ \le12$  

• 13, 12, 11, 10, -4

• 5, 6, 3, 12, 0, -10

Multiple Choice

Solve:

 $10\ \ +\ x\ \ge\ -9$  

•  $x\ge19$  

•  $x\ge1$  

•  $x\le-1$  

•  $x\ge-19$  

Fill in the Blanks

A local television station sponsors a food drive. The goal is to donate more than 1000 canned goods. The station already has collected 400 canned goods. How many more canned goods does the television station need to meet its goal? Write and solve an inequality to find the number of canned goods needed. (Use x as the variable)

Multiple Choice

A local television station sponsors a food drive. The goal is to donate more than 1000 canned goods. The station already has collected 400 canned goods. How many more canned goods does the television station need to meet its goal? Write and solve an inequality to find the number of canned goods needed. (Use x as the variable)

• x > 600

• x < 600

Open Ended

Solve the inequality and describe the graph:

 $-8\ >\ x\ -\ 3$  

Multiple Select

Choose ALL the inequalities that would require a flip of the inequality symbol:

• $12\ \ge\ -3g$

• $\frac{x}{2}\le-5$

• $-8x\ <-24$

• $-100\ \ge\ 20y$

• $10<\frac{r}{-4}$

Open Ended

Why would you flip the sign for -3x > 15, but you would not flip the sign for 3x > -15?

Why is this story problem an inequality problem?

Multiple Choice

Solve:   $9\ -\ 2x\ <7\ +\ 2\left(x-3\right)$  

• x > 2

• x < 2

• x >  $\frac{5}{4}$  

• x < 10