Q3 Algebra Revision

Two-Step Equations

100

2x + 4 = 10

x = 3

200

3y - 2 = 13

y = 5

300

4a + 5 = 21

a = 4

400

5m - 5 = 20

m = 5

500

2p + 8 = 20

p = 6

Verifying Answers

100

Is x = 4 the correct solution to the equation 3x = 12?

Yes. (3 times 4 = 12)

200

Is y = 5 the correct solution to the equation y + 7 = 11?

No. (5 + 7 = 12, not 11)

300

Is m = 10 the correct solution to the equation m / 2 = 5?

Yes. (10 / 2 = 5)

400

Is k = 3 the correct solution to the equation 4k - 2 = 10?

Yes. (4 times 3 - 2 = 10)

500

Is p = 6 the correct solution to the equation 2p + 3 = 12?

No. (2 times 6 + 3 = 15, not 12)

Real-World Problem (Set the Equation)

100

Sarah has some apples. She buys 4 more and now has 12. Write an equation using a for the starting number of apples.

a + 4 = 12

200

A box of cookies is shared equally among 3 friends. Each gets 5 cookies. Write an equation using c for the total cookies.

c / 3 = 5

300

Tom earns $8 an hour. He made $32. Write an equation using h for the number of hours he worked.

8h = 32

400

Emily had 20 stickers. She gave some away and has 8 left. Write an equation using s for the stickers she gave away.

20 - s = 8

500

A plant grows 2 cm every week. It grew a total of 14 cm. Write an equation using w for the number of weeks.

2w = 14

Equations with Parentheses and Division

100

2(x + 3) = 10

x = 2

200

(y + 4) / 2 = 5

y = 6

300

3(m - 1) = 12

m = 5

400

(p - 2) / 3 = 4

p = 14

500

4(k + 2) = 24

k = 4

Real-World Problem (Set Two-Step Equation and Calculate Answer)

100

A gym membership costs $10 a month plus a one-time $20 sign-up fee. If Sarah paid $50 in total, write an equation and solve to find how many months (m) she paid for.

Equation: 10m + 20 = 50

Solution: m = 3 months.

200

A farmer packages apples into baskets. He has 3 full baskets and 4 loose apples left over, making a total of 25 apples. Write an equation and solve to find how many apples (a) are in each basket.

Equation: 3a + 4 = 25

Solution: a = 7 apples.

300

You buy 4 identical notebooks and one fancy pen that costs $3. Your total cost is $19. Write an equation and solve to find out how much each notebook (n) costs.

Equation: 4n + 3 = 19

Solution: n = 4 dollars.

400

The 5th-grade class is raising money. They had $15 in their cash box already. They sold 5 tickets to the school play, and now they have $40 total. Write an equation and solve to find the cost of each ticket (t). 

Equation: 5t + 15 = 40 

Solution: t = 5 dollars.

500

A fish tank starts with 50 liters of water. Water drains out at a rate of 5 liters per minute. There are 20 liters left in the tank. Write an equation and solve to find how many minutes (m) the water has been draining.

Equation: 50 - 5m = 20

Solution: m = 6 minutes.