Solving 1 step equations
5m=30
m = 6
3x+8=17
x = 3
What are the steps you would use to undo the following equation:
5a - 4 = 26
+ 4
÷ 5
A number is doubled to get 18. What is the equation?
2d = 18
Is x=6 a solution to
5x-8=22
Yes
x/4=8
x=24
4y+1=6
y = 1.25
What are the steps you would use to undo:
(x+4)/7 = 3
x=17
A number is multiplied by 4 and then has 9 subtracted from it and the answer is 19. What is the equation?
4y-9=19
Is x=-3 a solution to
2x+4=5
No.
2x+4=5
2x=1
x=0.5
−4p=−24
p = 6
−6w−10=2
w = -2
Explain why you must do the same to both sides of an equation.
You must always keep both sides of the equation balanced. The equals sign means that both sides are the same. If you change one side and not the other the equation is not balanced.
5 is subtracted from a number, the result is multiplied by 4 and the answer is 8.
What is the equation?
4(x-5)=8
2x+5=11
x=8
This was marked incorrect on my test. What did I do wrong?
I used +5 instead of the inverse -5
A Disney+ subscription costs $144 per year. As a punishment, your parents make you pay for 2 months of the subscription.
a) How much does the subscription cost per month?
b) How much will you have to pay for 2 months?
a) $12
b) $24
You and your friends are having a sleepover and order 8 burgers from Uber Eats. The delivery fee is $10, and the total cost is $106.
Let (x) represent the cost of one burger.
1. 8x+10=106
2. Burger costs: $12
A student performs the following calculations to solve the equation:
5(x+2)=35
What have the done wrong?
Solution:
5x+2=35
5x=33
x=6.6
The 5 on the outside of the brackets means everything in the bracket is multiplied by 5.
Correct solution:
5(x+2)=35
x+2=7
x=5
You and your friends are going to the movies.
You buy 4 movie tickets and a $2 bag of popcorn.
You spend $74.50 altogether. Let the cost of one movie ticket be represented by t.
Write an equation to represent the situation.
4t + 2 = $74.50
A student shows the following working out in class:
5(x+2)=35
5x=33
x=6.6
What mistake have they made?
When there is a number outside the brackets it means everything inside needs to be multiplied by 5. This student only multiplied the x by 5.
Correct: 5(x+2)=35
x+2=7
x=5
You and 3 friends are hanging out at Woodgrove and decide to get bubble tea. You order one for everyone, and the total cost is $22.50.
Let (x) represent the cost of one bubble tea.
1. 5x=$22.50
2. x=$4.50
You and 3 friends are going to a concert. There is a $12.50 booking fee for the order. The total cost is $287.50.
Let (x) represent the cost of one ticket.
1.
4x+$12.50=$287.50
2.
x=$68.75
What are the inverse operations, in order, to solve this equation? What is the value of x?
(5(2x-4))/2=20
xx2
divide 5
+4
divide 2
x=6
You and your friends order pizza for a movie night.
You pay a $5 delivery fee and pizzas cost $12 for each.
You spend $53 altogether. Let the number of pizzas be represented by p.
Write an equation and solve it to find how many pizzas you ordered.
12p + 5 = $53
12p = 48
p = 4 pizzas
Is h = 4 a solution for:
(3(h+2))/6=4
No.
h = 6