CH. 2.1-2.4 Quiz Review

Sentence -> Equation

100

The sum of twice a number x and 12 is two less than three times x 

2x + 12 = 3x-2

200

Two less than the sum of six and a number m

(6 + m ) -2

300

Four times the difference of b and six is equal to b squared

4(b-6)=b²

400

the sum of 5 times a number and 3 equals 15

5x + 3= 15

500

the quotient of  a number and 20

n/ 20

One Step Equations

100

m-4=10

m= 14

200

5w=-60

w=-12

300

3 + w = 9 

w = 6

400

1/2x = 12 

x= 24

500

12p=36

p=3

Multistep Equations

100

5x + 3 = 23

x=4

200

2x-5=3

x=4

300

-2(3n+9)= 30

n=-8

400

7x-9=5

x=2

500

-3x+ 4 = 16

x= -4

Combine Like Terms + Solve

100

2x+7=5x+16

x=-3

200

7x + 3 = 2x +13

x= 2

300

2 (x-5)=5x +23

x=-11

400

9n-6=5n+18

n= 6

500

3(y+2) + y =-14

y=-5

Word Problems

100

Melanie works as a nanny and is paid $14 per hour. If she puts in 40 hours of work in 7 days, how much does she earn in a week?

$560 

200

For Amy’s cellular phone service, she pays $32 per month plus $0.75 for each minute. Amy received a bill for $47 last month. How many minutes did Amy use  

x= 20

300

For a field trip 11 students rode in cars and the rest filled eight buses. How many students were in each bus if 315 students were on the trip?

38 kids per bus

400

Juan sells raffle tickets at a charity event for $6 each. How many tickets does he have to sell to make $114?

19 tickets

500

When the plumber comes to my house to fix the leaky faucet, he charges a flat rate of $50 in addition to charging $22 per hour. If the final bill was $116, how long was the plumber at my house?

x = 3 hours