Quiz about Algebraic Properties in Word Problems

Question 1

Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?

Accepted Answer

y = 40x + 150

Answer

y = 150 + 40

Answer

y = 150x + 40

Question 2

A holiday meal costs $12.50 a person plus a delivery fee of $30.  Which equation represents the amount a holiday meal costs, including delivery, for x people?

Accepted Answer

y = 30 + 12.5x

Answer

y = 12.5 + 30

Answer

y = 12.5 + 30x

Question 3

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

Accepted Answer

y = 25.5 + 8.5x

Answer

y = 8.5 + 25.5

Answer

y = 8.5 + 25.5x

Question 4

Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?

Accepted Answer

y = 7x + 20

Answer

y = 7 + 20x

Answer

y = 20 + 7

Question 5

Sonya has $40 in her lunch account and pays $2 each day to eat lunch.  Which equation can be used to find the amount of money Sonya has left on her account after x days?

Accepted Answer

y = 40 - 2x

Answer

y = 40 + 2x

Answer

y = 2 + 40x

Answer

y = 2 - 40x

Question 6

Sandra has a $20 itunes gift card and spends $3 each month.  Which equation can be used to find how much money Sandra has on her giftcard after x months?

Accepted Answer

y = -3x + 20

Answer

y = 3x + 20

Answer

y = 3 + 20x

Answer

y = -20x + 3

Question 7

Amber's savings account had a balance of $350 rolled over from the previous year. She set it up for $50 to be drafted out of her checking account and into her savings account every month. What information in this problem represents the y-intercept?

Accepted Answer

350

Answer

50

Answer

-50

Answer

-350

Question 8

For lunch, Amanda had a hamburger and some potato chips. The hamburger totaled 325 calories and each chip had 12 calories. Write a liner equation to represent the situation.

Accepted Answer

y = 12x  + 325

Answer

y = 12 + 325

Answer

y = 325 - 12x

Answer

y = 325x + 12

Question 9

Which equation shows the number of bottles left after x days?
A family buys a case of water with 48 bottles and drinks 5 bottles per day.

Accepted Answer

y = 48 - 5x

Answer

y = 48x + 5

Answer

y = -5 + 48x

Answer

y = -5x - 48

Question 10

The drama club sold tickets to a play for $5 each.  They also made $55 in soda and popcorn sales.  If the drama club made a total of $290, how many tickets were sold?

Accepted Answer

47

Answer

58

Answer

69

Answer

113

Question 11

Andrea earns a flat fee of $20 per day plus an additional x dollars for each sale she makes.  Andrea made 10 sales last Saturday and earned a total of $80.  How much does Andrea earn for each sale she makes?

Accepted Answer

$6

Answer

$8

Answer

$10

Answer

$12

Question 12

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

Accepted Answer

7x + 35 = 63

Answer

7x = 63

Answer

7x - 35 = 63

Answer

35x + 7 = 63

Question 13

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

Accepted Answer

.50x + 20 = 35

Answer

.50x = 35

Answer

.50 + 20x = 35

Answer

.50x - 20 = 35

Question 14

The steps in solving 5b - 6 = 24 are:

Accepted Answer

Add 6 to both sides and divide both sides by 5

Answer

Add 6 to both sides and multiply both sides by 5

Answer

Subtract 6 from both sides then multiply both sides by 5

Answer

Subtract 6 from both sides then divide both sides by 5

Question 15

A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  How many miles does Mr. Lewis live from the airport?

Accepted Answer

18 miles

Answer

20 miles

Answer

22 miles

Question 16

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

Accepted Answer

10+7x=24

Answer

24-10=7x

Answer

24+7x=10

Answer

10+x=14

Question 17

WRITE AN EQUATION
Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among her children. Each child received two pieces. With how many pieces did she start?

Accepted Answer

(x-10)/4=2

Answer

x-10/4=2

Answer

x-10=2(4)

Answer

2(x-10)=4

Question 18

After
paying $3.32 for a sandwich, Brenda has $19.79. How much money did she start
with? Which equation could you use to solve this problem?

Accepted Answer

m-3.32=19.79

Answer

3.32m=19.79

Answer

m-19.97=3.32

Question 19

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?

Accepted Answer

f + 8 = 14

Answer

f - 8 = 14

Answer

f/8 = 14

Answer

8f=14

Question 20

WRITE AN EQUATION
Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

Accepted Answer

0.5x+4=12

Answer

x+4=12

Answer

12-4=x

Answer

12-4=0.5x

Question 21

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

Accepted Answer

C = 0.20x + 15

Answer

C =15 (0.20x)

Answer

C = 15 + x + 0.20

Answer

C = 0.20 + 15x

Question 22

The first play of a football game resulted in a loss of 12 yards.  Then a penalty resulted in another loss of 5 yards.  What is the total loss or gain?

Accepted Answer

a loss of 17 yards

Answer

a gain of 7 yards

Answer

a loss of 7 yards

Answer

a gain of 17 yards

Question 23

Keith bought 5 new baseball trading cards to add to his collection.  The next day his dog ate half of his collection.  There are now only 40 cards left.  How many cards did Keith start with?

Accepted Answer

75

Answer

50

Answer

100

Answer

60

Question 24

Melanie spent half of her allowance going to the movies.  She washed the family car and earned $8.  What is her weekly allowance if she ended with $12?

Accepted Answer

$8

Answer

$10

Answer

$12

Answer

$14

Question 25

Sandy has 41 books in her library.  She bought several books at a yard sale over the weekend. She now has 94 books in her library. How many books did she buy at the yard sale?

Accepted Answer

53

Answer

134

Answer

41

Answer

60

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