Question

Sam got a new job with a $7.00 per hour raise. He worked for 5 hours and got paid $85.00. How much did he make before the raise?

A. $10.00 per hour
B. $11.00 per hour
C. $12.00 per hour
D. $13.00 per hour

Julia knows 19 Latin words. Each day, she learns 6 new words. How many days until she knows 145?
A. 20
B. 21
C. 22
D. 23

Claire has a part-time job walking dogs Monday through Friday. Business has really increased. She is walking 3 more dogs per day than she did last week. If she walked a total of 35 dogs this week, how many dogs did she walk per day last week?
A. 2
B. 3
C. 4
D. 5

Kayla needs to have $560.00 to buy a new laptop. She already has $200.00 in the bank. Each month she will add $45.00 to her bank account. How many more months until she has enough money to buy her laptop?
A. 5
B. 6
C. 7
D. 8

Mark bought a notebook for $1.45 and some pencils that cost $0.42 each. If total cost was $6.91, how many pencils did he buy?

A. 12
B. 13
C. 14
D. 15

Answer 1

1.) A. $10.00 per hour
2.) B. 21 days
3.) A. 2
4.) D. 8
5.) B. 13

Answer 2

Part a) Sam got a new job with a $7.00 per hour raise. He worked for 5 hours and got paid $85.00. How much did he make before the raise?

Let

x--------> amount that Sam earned before the raise

we know that

`(x+7) *5 =85`

Solve for x

`5x+35 =85`

`5x =85-35`

`5x =50`

`x=10\ dollars\ per\ hour`

therefore

the answer Part a) is the option

A. $10.00 per hour

Part b) Julia knows 19 Latin words. Each day, she learns 6 new words. How many days until she knows 145?

Let

x-------> the number of days

y-------> the total words Julia Knows

we know that

`y=19+6x` ------> equation
`1`

For y=
`145`

Find the value of x

Substitute in the equation
`1` the value of y

`145=19+6x`

`6x=145-19`

`6x=126`

`x=21\ days`

therefore

the answer Part b) is the option

B. 21

Part c) Claire has a part-time job walking dogs Monday through Friday. Business has really increased. She is walking 3 more dogs per day than she did last week. If she walked a total of 35 dogs this week, how many dogs did she walk per day last week?

Let

x--------> the number of dogs that Claire walked last week per day

we know that

`x=(35)/(5) -3\\\\ x=7-3\\\\x=4\ dogs\ per\ day`

therefore

the answer Part c) is the option

C. 4

Part d) Kayla needs to have $560.00 to buy a new laptop. She already has $200.00 in the bank. Each month she will add $45.00 to her bank account. How many more months until she has enough money to buy her laptop?

Let

x--------> the number of months

y-------> amount in the bank account in dollars

we know that

`y=45x+200`

Find the value of x for y=
`560`

`560=45x+200`

`45x=560-200`

`45x=360`

`x=8\ days`

therefore

the answer part d) is the option

D. 8

Part e) Mark bought a notebook for $1.45 and some pencils that cost $0.42 each. If total cost was $6.91, how many pencils did he buy?

Let

x------> the number of pencil

we know that

`6.91= 1.45+0.42x\\\\ 0.42x=6.91-1.45\\\\ 0.42x= 5.46\\\\ x= 13\ pencils`

therefore

the answer part e) is the option

B. 13