Equations

Two Steps With Variable's On One Side

100

4=s+6

s=-2

200

3x+4=10

x=2

300

5x−8=−23

x=-3

400

7x+3=−18

x=−3

500

1/3(6x−9)=5

x=4

Multi Steps With Variables On Two Sides

100

5x+7=2x+16

x=3

200

6x−3=4x+9

x=6

300

−3x+8=2x−12

x=4

400

−6x−5=2x+11

x=−2

500

1/4(12x−8)+3=−2x+7

x=20/24 = 5/6.

Word Problems

100

Sarah has 8 pencils. She buys 5 more. How many pencils does she have now?
➡️ Equation:
➡️ Answer:

➡️ Equation: 8+5
➡️ Answer: x=13

200

James has 20 dollars. He spends 7 dollars on snacks. How much money does he have left?
➡️ Equation:
➡️ Answer:  

➡️ Equation: 20−7=x
➡️ Answer: x=13

300

A movie ticket costs $12, plus $3 for 3D glasses. If Mia spends $51, how many tickets did she buy?

➡️ Equation: 12t+3=51
➡️ Answer: t=4

400

A streaming service charges $10 per month plus a $20 sign-up fee. Another service charges $15 per month but no sign-up fee. After how many months will the two services cost the same?
➡️ Equation:
➡️ Answer:  
 

➡️ Equation: 10m+20=15m

Answer: 4m=

500

One gym charges a $30 membership fee plus $10 per month. Another gym charges a $60 membership fee plus $5 per month. After how many months will the total cost be the same?

Equation:

Solve:

 Equation:30+10m=60+5m

➡️ Solve:
Subtract 5m: 30+5m=60
Subtract 30: 5m=3030
Divide: m=6

Distribution Problems

100

4(x+3)

4x + 12

200

6(y-5)

6y-30

300

−3(2x−7)

−6x+21

400

5(−m+2n−4)

−5m+10n−20

500

−2(3a−4b+6c−5)

−6a+8b−12c+10

Distribution In Equations

100

2(x+3)=14

x=4

200

3(x−4)=18

x=10

300

−2(x+5)=8

x=-9

400

4(x−2)=2(x+6)

x=10

500

21(6x−8)=2(x+1)

x=6