Unit 2 Solving Linear Equations

Solving two-steps Equations

100

9y+2=29

y=3

200

-2x+4=10

x=-3

300

-4x+9=-23

x=8

400

8-x/4=-3

44

500

2/3x-5=1

x=9

Solving multi-step Equations

100

8x-3x+6=21

x=3

200

2(x-4)+4(x-3)=12

x=16/3

300

9-3(x-2)=4x+6

x=9/7

400

4(x-2)-3(2x+5)=-11

x=-6

500

8(x+6)+3(x+1)=2x+1

x=-50/9

Solving equations with variables on both sides

100

9a=7a-8

a=-4

200

4-3(2x-1)=2x+7

x=0

300

2-3(5x-2)=5x+2x-3

x=1/2

400

8-5(2x-4)=7x+5

x=23/17

500

4 - 2(3x - 1) = 5x + 9

-3/11

Writing equations from word problems

100

A number is tripled, then decreased by 14, and the result is the same as twice the number plus 10.

x=24

200

You buy 5 notebooks and 3 pens.

Each notebook costs $2 more than each pen.

You spend $46 total.

p=4.5

300

A taxi charges $3 to start the ride and $0.75 per mile.

Your total charge was $24.75.

How many miles?

m=29

400

A company gives an employee an 8% raise, but also increases monthly health deduction by $150 after both changes, the employee's net pay(the money they take home)is $120 more than before.

x=$3.375

500

A gym charges a $25 sign-up fee plus $18 per month.

Another gym charges $15 sign-up plus $20 per month.

After how many months do the costs match?

m= 5 months 

Challenge

100

-2/3x-5=1

x=-9

200

3/4(2x-5)+8=17

x=17/2

300

8x-3(x-9)=2(x-5)+7

x=10

400

A rectangle’s length is 4 more than twice the width.

The perimeter is 64.

Find the width.

w=28/3

500

3x+6(7x-6)=67

x=103/45