Simple Equations
3a + 7 + 2(3 + a)
= 3a + 7 + 6 + 2a
= 3a + 2a + 7 + 6
= 5a + 13
5t ‒ 8 = 6 ‒ 2t
5t + 2t = 6 + 8
7t = 14
7 7
t = 2
Demi earned $40 teaching skating lessons. She also earned $15 for shovelling snow.
Write an algebraic equation for the total income Demi earned this summer.
Demi taught 10 skating lessons and shovelled 10 driveways. Use your equation in part (a) to calculate her total income.
400
150
$510
What's my first name?
Jennifer
DAILY DOUBLE! Algebra: simplify:
2s + 10 - 7s - 8 + 3s - 7
= 2s - 7s + 3s + 10 - 8 - 7
= -2s - 5
3 ‒ 2x = 4 ‒ 3x
-2x + 3x = 4 -3
x = 1
Jaime buys a bag of gummy worms and eats 7 of them. Now he has 13 left.
Write an equation to show how many gummies were in the bag to start, and solve it.
write and algebraic equation.
x−7=13
x=20
Where was I born?
Toronto, On.
DAILY DOUBLE Solve: 3x + 3 - 2x = 21
x = 18
Algebra: 12n - 8 - 2n + 10 - 4
= 12n - 2n - 8 + 10 - 4
= 10n - 6
5 ‒ 2y = 7 ‒ 3y
3y - 2y = 7 - 5
y = 2
A movie theater charges $5 for popcorn plus $3 per refill.
If Kayla spent $17 total on popcorn and refills, write an equation to represent the situation and find how many refills she bought.
5+3r=17
3+3+3+3
3x4= 12
12+5=17
r=4
What do I do every morning before work?
exercise!
Simplify: 4(2b + 2) - 3
=8b + 8 - 3
=8b + 5
20 ‒ 3a = 2a
20 = 2a + 3a
20 = 5a
5 5
4 = a
A roller-rink charges a fixed fee of $8 plus $2.50 per hour to skate.
If Mateo paid $20.50, write an equation and solve for how many hours he skated.
8+2.5h=20.5
8+2.5(h)=20.5
h=5
Mateo skated for 5 hours
What is my current favourite song?
GOLDEN
Solve: 21 + x = 2(x - 6)
x = 33
Algebra: -4 + 8p - 6p - 5 + 20p
= 8p - 6p + 20p - 4 - 5
= 22p - 9
6y = 4y + 3
6y - 4y = 3
2y = 3
y = 3
2
A group of friends orders several identical pizzas for a party. After they eat 18 slices, there are 10 slices left.
Write an equation to show how many slices there were in total, and solve it.
p−18=10
18+10=28
p=28
Total slices → subtract 18 eaten → 10 slices remain
The left side shows what happened to the total number of slices.
DAILY DOUBLE! How many children do I have and what are their names?
2 boys! Auston and Zane