Unit 3 Test

A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake they make. If a cake sells for $15, which equation could be used to determine the minimum number of cakes, c, they must sell each day to earn a profit?

• A 15c < 1800 + 10c

• B 15c > 1800 + 10c

• C 10c < 1800 + 15c

• D 10c > 1800 + 15c

John and Jane went to a bakery to get cookies for a party. Jane bought x cookies that were $3 each. John bought x cookies that were on sale for $1 plus he got a small cake for $10.00. If John and Jane both spent the same amount of money, which equation shows how many cookies, x, they purchased.

• A 3x = x + 10

• B x = 3x + 10

• C 3x + x = 10

• D 3x + x + 10 = 0

At a store each notebook has a cost of x dollars. Which situation can be represented by this inequality?

5x < 3 x + 2

• A The cost of 5 notebooks is greater than the cost of 3

  notebooks plus a $2 pen.

• B The cost of 5 notebooks is less than the cost of 3

  notebooks with a $2-off coupon.

• C The cost of 5 notebooks is less than the cost of 3

  notebooks plus a $2 pen.

• D The cost of 5 notebooks is $2 greater than the price of 3

  notebooks.

Which situation best represents the following equation?

30 + 4x = 70 + 2x

• There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $2 per person. Limo B charges $70 plus $4 per person. How many people can ride to make the two companies charge the same amount?

• There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $70 per person. Limo B charges $4 plus $2 per person. How many people can ride to make the two companies charge the same amount?

• There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $4 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?

• There are two limo companies that charge based on the

  number of people, x, that they carry. Limo A charges $30 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?

Miguel's irrigation tank for his large garden held 45.5 gallons before he began to fill it at a rate of 17 gallons per minute.

Before he started watering the plants in his garden, Miguel's friend Alejandro checked his irrigation tank and found it contained 425 gallons.

If Alejandro is irrigating his plants at rate of 11.5 gallons per minute, how much water will be in each tank when both tanks have the same amount of water?

• 249.5 gallons

• 283.5 gallons

• 300.5 gallons

• 318 gallons

Julie started with 20 pieces of gum and gave away x pieces. Conrad started with 35 pieces of gum and gave away twice as many pieces as Julie did.

How many pieces of gum did Julie give away if they had the same number of pieces of gum left?

• 18

• 5

• 15

• 8

What is the solution to this equation?

2 x + 3 = x − 4

Susie wants to deposit $6,000 into a savings

account and plans to leave her money in the account for 10 years. The bank

offers two types of savings accounts.

• Account 1: offers 4.5% simple interest

• Account 2: offers 4% interest compounded annually

Which statement about the savings accounts is true?

• Susie should invest her money in Account 1 because the account will earn $300.00 more in interest than Account 2 after 10 years.

• Susie should invest her money in Account 1 because the account will earn $436.35 more in interest than Account 2 after 10 years.

• Susie should invest her money in Account 2 because the account will earn $617.82 more in interest than Account 1 after 10 years.

• Susie should invest her money in Account 2 because the account will earn $181.47 more in interest than Account 1 after 10 years.

Valerie is considering various savings options. At Bank 1, she can invest $1,000 in a CD that earns compound interest at an annual rate of 2.4%. At Bank 2, she can invest $1,000 in a savings account that pays 2% simple interest upon withdrawal. How much more money would Valerie earn in 5 years with the CD at Bank 1 than with the savings account at Bank 2?

• $4

• $25.90

• $100

• $125.90

Carina is borrowing $27,000 to buy a new car. If she borrows the money at 4.15% interest compounded annually for 5 years, how much interest will she pay on her car loan?

• $1,120.50

• $5,602.50

• $6,087.21

• $33,087.21