Equations Review

Combine Like Terms

100

3x+5x

8x

200

7x+3+2x-5

9x-2

300

4x+7-2x+5+3x

5x+12

400

6x+4-3x+8+2x-5

5x+7

500

8x+5+3y-2-4x+y

4x+4y+3

Solving (Basics)

100

3x=2x+7

x=7

200

5x+8=2x+20

X=4

300

6x-4=3x+14

x=6

400

8x-5=3x+20-5

X=4

500

5+9x-7=4x+3+2x

x=5/3

Solving with Distributive

100

3(x+2)=2x+9

x=3

200

3(x+2)+2x=x+18

x=3

300

4(x-2)+3x=2x+24

x=32/5

400

5(x-13)-2x=2(x+1)+17

x=84

500

3(2x-5)-2(x+4)=x+13

x=12

Solving with fractions

100

1/2x +4=1/4x+10

x=24

200

1/3x+5=1/6x+10

x=30

300

1/2x+1/4=1/8x+4

x=10

400

2/3x+4/3=1/3x+16/3

X=12

500

3/4x+1/2=1/4x+5

x=9

Equations/Solve(Context)

100

Create an Equation to represent when both will be the same.

Movie theater A charges $5 service fee plus $8 per ticket.

Movie theater B charges $2 service fee plus $9 per ticket.

5+8x=2+9x

200

Create an Equation to represent when both will be the same.

Taxi A charges a $6 starting fee plus $3 per mile.

Taxi B charges a $12 starting fee plus $2 per mile.

6+3x=12+2x

300

Create and Solve Equation to represent when both movie theaters will be the same price. After how many tickets?

Movie theater A charges $5 service fee plus $8 per ticket.

Movie theater B charges $2 service fee plus $9 per ticket.

After 3 tickets they will be the same price.

400

Create and solve to represent when both Taxi will be the same price. After how many miles will they be the same?

Taxi A charges a $6 starting fee plus $3 per mile.

Taxi B charges a $12 starting fee plus $2 per mile.

They will be the same price at 6 miles.

500

Create and Solve an Equation to represent when both Maya and Jordan will have the same amount in their savings. After how many Weeks?

Maya has $75 and adds $15 each week.

Jordan has $135 and adds $10 each week.

After 12 weeks they will have the same amount in their savings.