Algebra L1-2 Quiz v4

Last updated over 2 years ago

6 questions

1

Solve the following equation for the value of x.

Five friends each use thier student discount to get $3 a meal combo at the local pizza place. They spend a total of $45. What is the price of a meal combo without the discount?

$8

$10

$12

$14

The sum of four consecutive integers is 90. List the four numbers

The maintenance department needs to give all the teachers 1 liter spray bottles with a 30% disinfectant solution. They purchase a concentrated solution that is 80% disinfectant (and 20% water). How many liters of water and how many liters of concentrate must they mix together to fill 10 spray bottles with 30% disinfectant solution?
Let c be the number of liters of 80% concentrated disinfectant. Choose an equation to match the situation.

0.3(10)=0.1c+0.8(10-c)

0.3=0.8(10-c)+0(c)

0.3(10)=0.8c+1(10-c)

0.3(10)=0.8c+0(10-c)

In the scenario from question (4), how many liters of water should be used?

A manufacturer secures two parts of its finished product with an epoxy-type adhesive. Unlike normal glue, the adhesive comes in two parts, an epoxy resin and a separate hardner. As soon as the two are mixed, the combination goes through a chemical reaction that creates a permanent bond.

The company buys 3 big drums full of epoxy resin, and 5 big drums of the hardener. The epoxy resin costs $48 dollars more per drum than the hardner. In total, the company pays $720 for all 8 drums. Which of the following are true? Select all that apply.

A drum of the epoxy costs twice as much as a drum of the hardner.

One drum of each component costs $192

The cost h in dollars of one drum of hardner is modeled by 3(h-48)+5h=720

The cost e in dollars of one drum of epoxy is modeled by 3e+5(e-48)=720

Solve the following equation for the value of x.

Five friends each use thier student discount to get $3 a meal combo at the local pizza place. They spend a total of $45. What is the price of a meal combo without the discount?

$8

$10

$12

$14

The maintenance department needs to give all the teachers 1 liter spray bottles with a 30% disinfectant solution. They purchase a concentrated solution that is 80% disinfectant (and 20% water). How many liters of water and how many liters of concentrate must they mix together to fill 10 spray bottles with 30% disinfectant solution?
Let c be the number of liters of 80% concentrated disinfectant. Choose an equation to match the situation.

0.3(10)=0.1c+0.8(10-c)

0.3=0.8(10-c)+0(c)

0.3(10)=0.8c+1(10-c)

0.3(10)=0.8c+0(10-c)

A manufacturer secures two parts of its finished product with an epoxy-type adhesive. Unlike normal glue, the adhesive comes in two parts, an epoxy resin and a separate hardner. As soon as the two are mixed, the combination goes through a chemical reaction that creates a permanent bond. 

The company buys 3 big drums full of epoxy resin, and 5 big drums of the hardener. The epoxy resin costs $48 dollars more per drum than the hardner. In total, the company pays $720 for all 8 drums. Which of the following are true? Select all that apply.

A drum of the epoxy costs twice as much as a drum of the hardner.

One drum of each component costs $192

The cost h in dollars of one drum of hardner is modeled by 3(h-48)+5h=720

The cost e in dollars of one drum of epoxy is modeled by 3e+5(e-48)=720