Solving Equations with Decimals

Math

100

.44=-.2x

x=-2.2

200

1.5x+3.5=29

x=17

300

1.43=4.02-1.3x

x=1.99

400

0.9(x+.2)=0.21(5x-0.5)

x=1.9

500

The sum of two numbers is 13.5. The second number is 2.75 more than 3 times the first number. Find the two numbers. 

The first number is 2.6875 and the second number is 10.8125.

is

100

9x+1=8

x=0.78

200

21x+3=121

x=5.62

300

-4.67x=3.27+3.5x

x=-0.4

400

-4(x+0.2)=5(x+0.5)

x=-0.37

500

Mia's age is 4 years more than three times Mason's age. The sum of their ages is 18. How old are Mia and Mason?

Mason is 3.5 years old and Mia is 14.5 years old.

so

100

-1.5x=0.5

x=-0.33

200

2.9x+3.3=4.8

x=0.52 

300

22x+5+2x=48

x=1.79

400

3(0.45+0.13x)=1.3x

x=1.48

500

The girls and boys in the Algebra class brought money for a field trip. The girls have 5 fewer than 3 times as many dollars than the boys. Together they have $425. How much money does each group have? 

The boys have $107.50 and the girls have $317.50.

fun

100

-5+6x=11

x=2.67

200

4.7-3x=1.7x

x=1

300

2.9x+13=5-2x

x=-1.63

400

4.72x-2.12=1.81x-7.1

x=-1.71

500

The difference between two numbers is 18.25. Find the two numbers if the larger number is 1.5 times the smaller number.

The big number is 57.5 and the small number is 36.5.

!!!

100

How many NFL teams are there?

32 teams

200

How many books does someone read, on average, every year?

14 books

300

What sport has been played on the moon?

Golf

400

On average, how much sleep do high schoolers get?

7-7.25 hours

500

On average, how much candy do Americans consume on Halloween?

3.4 pounds