Quiz about Equations and Inequalities Level 3

Question 1

Danny has $500. He wants to buy 4 identical tires for his truck. He needs to save at least $25 for a car wash. Which inequality could Danny use to find x, the amount he can spend on each tire?

Accepted Answer

$$500-4x\ge25$$

Answer

$$4x+500\ge25$$

Answer

$$500-4x\le25$$

Answer

$$4x+500\le25$$

Question 2

Barb is buying 4 binders, and each binder costs the same amount. She uses a coupon that gives her $3 off the total purchase price of the binders. Barb pays a total of $11 when the value of the coupon is subtracted. Which equation shows how to find p, the original price of each binder?

Accepted Answer

$$4p-3=11$$

Answer

$$4p+3=11$$

Answer

$$4\left(p-3\right)=11$$

Answer

$$4\left(p+3\right)=11$$

Question 3

Valerie bought a clownfish for $47 at the pet store. She planned to spend her remaining money on smaller fish that cost $9 each. If Valerie began with $120, which inequality could be used to find f, the number of smaller fish she can buy?

Accepted Answer

$$47+9f\le120$$

Answer

$$9+47f\le120$$

Answer

$$56+9f\le120$$

Answer

$$38+47f\le120$$

Question 4

A choir wants to collect more than 500 items to sell at a flea market. So far, the choir has collected 397 items and has only 7 more days to collect items. Which inequality could the choir director use to find x, the number of items that must be collected daily to reach the goal?

Accepted Answer

$$7x+397>500$$

Answer

$$397-7x<500$$

Answer

$$397+7x\le500$$

Answer

$$7x-397\ge500$$

Question 5

Solve the inequality below.

$$-17x-32\ge-151$$

Identify the correct solution sets. (Select ALL that apply.)

Accepted Answer

-23

Accepted Answer

-14

Accepted Answer

-2

Accepted Answer

5

Accepted Answer

7

Question 6

Which inequality is made true by the values listed below?

-6, -2, 0, 5, 11

Accepted Answer

$$12k+19>-65$$

Answer

$$8k-43>47$$

Answer

$$165+12k>98$$

Answer

$$213-21k-13$$

Question 7

Which problem situation could the inequality below represent?

$$435+5x\le1,200$$

Accepted Answer

Max wants to take a 5-day vacation. He has $1,200 to spend on his airfare and hotel room. If the airfare is $435, what is x, the nightly rate Max can pay for a hotel room?

Answer

Max wants to take a 5-day vacation. his airfare will cost $1,200. What is x, the number of nights he can stay in a hotel with his remaining $435.

Answer

Max wants to take a 5-day vacation. His hotel room will cost $435 per night, and his airfare will cost $1,200. What is x, the amount Max will pay for airfare and a hotel room for 5 nights?

Answer

Max wants to take a 5-day vacation. He needs a total of $1,200 for his airfare and hotel room, but he only had $435 so far. What is x, the amount of money Max still needs for his vacation?

Question 8

Which problem situation could the equation below represent?

$$12c-31=5$$

Accepted Answer

A chef baked several cakes for a restaurant and cut each into 12 equal slices. The restaurant sold 31 slices of cake and had 5 slices left over. What is c, the number of cakes the chef baked for the restaurant?

Answer

A chef baked 12 cakes for a restaurant and cut each into 5 equal slices. When the restaurant closed, 31 slices of cake were left over. What is c, the number of cake slices the restaurant sold?

Answer

A chef baked 5 cakes for a restaurant and cut each into 31 equal slices. When the restaurant closed, 12 slices of cake were left over. What is c, the number of whole cakes the restaurant sold?

Answer

A chef baked several cakes for a restaurant and cut each into 5 equal slices. The restaurant sold 31 slices of cake and had 12 slices left over. What is c, the number of cakes the chef baked for the restaurant?

Equations and Inequalities Level 3

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