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Algebra Unit 3 Homework #5

Total questions: 12

Worksheet time: 42mins

Name
Class
Date
1.
Which situation below is representative of y-intercept?
a)
putting $300 a month into savings
b)
buying $30 worth of supplies for a lemonade stand
c)
Spending $3 per ride at the fair
d)
Paying $2 for parking every day
2.
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?
a)
y = 150 + 40
b)
y = 40x + 150
c)
y = 150x + 40
3.
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?
a)
y = 30 + 12.5x 
b)
y = 12.5 + 30
c)
y = 12.5 + 30x
4.

A sign says that 3 tickets cost $22.50 and that 7 tickets cost $52.50. Which equations in point-slope form would represents the cost of tickets? Select all that apply.

a)

y - 22.50 = 7.50(x - 3)

b)

y - 52.50 = 7.50(x - 7)

c)

y = 7.50x

d)

y + 22.50 = 7.50(x + 3)

5.

You have only nickels (x) and dimes (y) in your piggy bank. When you ran the coins through a change counter, it indicated you have 595 cents. Write an equation to represent this situation.

a)

5x + 10y = 595

b)

10x + 5y = 595

c)

.05x + .10y = 595

d)

y = 2x + 595

6.

Cheryl is planning to spend $75 on a Christmas gift for her father. He needs new socks and ties. A store has socks and ties on sale for $4 and $11, respectively. What form of a linear equation would best represent this situation?

a)

Standard Form

b)

Point-Slope Form

c)

Slope-Intercept Form

d)

None of the above

7.

Since Beth was born, the population of her town has increased at a rate of 850 people per year. On Beth’s 9th birthday, the total population was nearly 307,650. Write and solve a linear equation to find the population on Beth’s 16th birthday.

a)

slope intercept form

b)

standard form

c)

point slope form

d)

two points

8.

An international calling plan charges a rate per minute plus a flat fee. A 10-minute call to France costs $3.19. A 15-minute call to France costs $4.29. Write and solve a linear equation to find the cost of a 12-minute call to France.

a)

slope intercept form

b)

standard form

c)

point slope form

d)

two points

9.

You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.


Write an equation to represent the situation

a)

2x - 3y = 240

b)

3y - 2x = 240

c)

2x + 3y = 240

d)

2 + 3 = 240

10.
Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  
a)
20x + 15 = y 
b)
35x = y 
c)
15x + 20y = 150 
d)
150 - 20x = 15y 
11.
In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation.  After how many months will the total cost be $58?
a)
7 months
b)
6 months
c)
5 months 
d)
4 months
12.
At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog.  Last week, the store made $60 from washing cats and dogs.  If 6 cats were washed, write and solve a linear equation to find how many dogs were washed.
a)
2 dogs
b)
3 dogs
c)
4 dogs
d)
not enough information