Inequality Lesson

Inequalities test review

Tomorrow (Friday, May 7th), we have a test. Here is what we need to know.

Multiple Choice

Which of these statements is true?

Cual de esas declaraciones es cierta?

• An equation has only one solution; an inequality has a set of solutions.

  
  

  Una ecuación tiene una sola solución; una desigualdad tiene un conjunto de soluciones.

• An inequality has only one solution, an equation has a set of solutions

  
  

  Una conjunto tiene una sola solución; una desigualdad tiene un ecuación de soluciones.

Multiple Choice

Which of these has ONLY ONE solution?

¿Cuál de estos tiene SOLO UNA solución?

• X+5.4>8

• $$\frac{1}{4}\left(x-5\right)=13$$

• 3x - 5.9 < 9.6

• $$\frac{1}{2}x-19\ge24$$
  

Multiple Choice

Which of these operations would you use to solve 3x=15?

¿Cuál de estas operaciones usarías para resolver 3x = 15?

• Add 3 to both sides

  Suma 3 a ambos lados

• Subtract 3 from both sides

  Resta 3 de ambos lados

• Multiply both sides by 3

  Multiplica ambos lados por 3

• Divide both sides by 3

  Divide ambos lados por 3

Multiple Choice

Clare jogs exactly 20 miles in a week. Which of these represents the number of miles she runs in a week?

Clare corre exactamente 20 millas en una semana. ¿Cuál de estos representa la cantidad de millas que corre en una semana?

• x=20

• $$x\ne20$$

• x>20

• x<20

• $$x\ge20$$

Multiple Choice

Clare jogs more than 20 miles in a week. Which of these represents the number of miles she runs in a week?

Clare corre mas de 20 millas en una semana. ¿Cuál de estos representa la cantidad de millas que corre en una semana?

• x=20

• $$x\ne20$$

• x>20

• x<20

• $$x\ge20$$

Multiple Choice

Clare jogs no more than than 20 miles in a week. Which of these represents the number of miles she runs in a week?

Clare corre no mas de 20 millas en una semana. ¿Cuál de estos representa la cantidad de millas que corre en una semana?

• x=20

• $$x\le20$$

• x>20

• x<20

• $$x\ge20$$

Multiple Choice

Clare jogs at least than 20 miles in a week. Which of these represents the number of miles she runs in a week?

Clare corre al menos de 20 millas en una semana. ¿Cuál de estos representa la cantidad de millas que corre en una semana?

• x=20

• $$x\le20$$

• x>20

• x<20

• $$x\ge20$$

Joseph runs  $2\ \frac{1}{2}$  miles on Monday.  After that, he runs the same  $1\ \frac{1}{3}$  miles every morning.  His goal is to run at least 6 miles each day.

•  $2\ \frac{1}{2}$  miles:  ONE TIME, every Monday

•  $1\ \frac{1}{3}$  miles:  RECURRING, every morning after that

• 6 miles:  Total

Multiple Choice

Joseph runs $$2\ \frac{1}{2}$$    miles on Monday. After that, he runs the same  $$1\ \frac{1}{3}$$    miles every morning. 

Which of the expressions is correct?

• $$2\ \frac{1}{2}x\ +\ 1\ \frac{1}{3}$$  

• $$1\ \frac{1}{3}x\ +\ 2\ \frac{1}{2}$$  

Multiple Choice

Joseph runs $$2\ \frac{1}{2}$$    miles on Monday. After that, he runs the same  $$1\ \frac{1}{3}$$    miles every morning. 

If we wants to run exactly 6 miles in a week, which of these would we use?

• $$1\ \frac{1}{3}x\ +\ 2\ \frac{1}{2}\ =6$$  

• $$1\ \frac{1}{3}x\ +\ 2\ \frac{1}{2}>6$$  

• $$1\ \frac{1}{3}x\ +\ 2\ \frac{1}{2}\ <\ 6$$  

• $$1\ \frac{1}{3}x\ +\ 2\ \frac{1}{2}\ge6$$  

• $$1\ \frac{1}{3}x\ +\ 2\ \frac{1}{2}\le6$$  

Multiple Choice

Joseph runs $$2\ \frac{1}{2}$$    miles on Monday. After that, he runs the same  $$1\ \frac{1}{3}$$    miles every morning. 

If we wants to run at least 6 miles in a week, which of these would we use?

• $$1\ \frac{1}{3}x\ +\ 2\ \frac{1}{2}\ =6$$  

• $$1\ \frac{1}{3}x\ +\ 2\ \frac{1}{2}>6$$  

• $$1\ \frac{1}{3}x\ +\ 2\ \frac{1}{2}\ <\ 6$$  

• $$1\ \frac{1}{3}x\ +\ 2\ \frac{1}{2}\ge6$$  

• $$1\ \frac{1}{3}x\ +\ 2\ \frac{1}{2}\le6$$  

Joseph runs  $2\ \frac{1}{2}$  miles on Monday.  After that, he runs the same  $1\ \frac{1}{3}$  miles every morning.  His goal is to run at least 6 miles each day.

•  $1\ \frac{1}{3}x\ +\ 2\ \frac{1}{2}\ge6$  

• FIRST:  subtract  $2\ \frac{1}{2}\$   from both sides

• SECOND:  divide both sides by  $1\ \frac{1}{3}$  

• IF you need a calculator, use http://desmos.com/scientific

Multiple Choice

$$1\ \frac{1}{3}x\ +\ 2\ \frac{1}{2}\ge6$$  
What should we do first?

• Add  $$2\ \frac{1}{2}\ to\ both\ sides$$  

• Subtract  $$2\ \frac{1}{2\ }from\ both\ sides$$  

Multiple Choice

$$1\ \frac{1}{3}x\ +\ 2\ \frac{1}{2}-2\ \frac{1}{2}\ge6-2\ \frac{1}{2}$$  
What does that give us?

• $$1\ \frac{1}{3}x\ +\ 5\ge8\ \frac{1}{2}$$  

•   $$1\ \frac{1}{3}x\ge3\ \frac{1}{2}$$  

Open Ended

$$1\ \frac{1}{3}x\ge4\ \frac{1}{2}$$   Using http://desmos.com/scientific, divide both sides by  $$1\ \frac{1}{3}$$    What do we get?

When we divide  $4\ \frac{1}{2}$  by  $1\ \frac{1}{3}$  , we get  $3\ \frac{3}{8}\ or\ 3.375$  

In the context of this problem:  Joseph must run at least 4 days in order to run more than 6 miles in total.

Multiple Choice

Janie ordered box lunches for a student advisory committee meeting. Each lunch costs $4.25. The total cost of the lunches is $53.75, including a $7 delivery fee.

Which of these is a one-time fee?

• $4.25

• $53.75

• $7

Multiple Choice

Janie ordered box lunches for a student advisory committee meeting. Each lunch costs $4.25. The total cost of the lunches is $53.75, including a $7 delivery fee.

Which of these is a recurring fee?

• $4.25

• $53.75

• $7

Multiple Choice

Janie ordered box lunches for a student advisory committee meeting. Each lunch costs $4.25. The total cost of the lunches is $53.75, including a $7 delivery fee.

Which of these is the total?

• $4.25

• $53.75

• $7

Multiple Choice

Janie ordered box lunches for a student advisory committee meeting. Each lunch costs $4.25. The total cost of the lunches is $53.75, including a $7 delivery fee.

Which of these is the correct equation?

• 4.25 + 7x = 53.75

• 4.25x + 7 = 53.75

• 4.25x + 53.75=7

• 53.75x+7=4.25

Open Ended

4.25x + 7 = 53.75.

How many lunches did Jamie buy?

Multiple Choice

Just for fun: In 1982, Nintendo was sued by Universal Pictures because Universal thought that Donkey Kong was stolen from which of these famous movie monsters?

• Godzilla

• King Kong

• Rodan

• Freddy Krueger

Multiple Choice

Just for fun: In 1997, the Simpsons revealed that Homer Simpson's face was a cross between which two things?

• A fish and a lemon

• A fish and a lightbulb

• A lightbulb and a dog

• A gorilla and a banana

Multiple Choice

What was the first video game where Luigi was not just "Green Mario", but was actually taller than Mario, ran faster, and jumped higher?

• Luigi's Mansion

• Mario & Luigi

• Super Smash Bros

• Super Mario Bros 2 (USA)