Words
I think of number and add eight. The
answer is 17.
What was the number?
Diagrams
×3
𝑥
I subtract 8 from a number. The
answer is 17.
What was the number?
I think of a number and multiply it by
3 and then add 8. The answer is 17.
What was the number?
I think of a number. I multiply it by 3.
I divide the answer by 2 then
subtract 3. The answer is 9.
What was the number?
I think of a number. I multiply it by 3.
I subtract from 2 this then divide the
answer by 2. The answer is 8.
What was the number?
9
3𝑥 + 8 = 17
÷8
3
𝑥
+8
17
𝑥 - 8 = 17
×3
+8
−2
+3
8
𝑥 + 8 = 17
8(𝑥 + 3) = 40
17
×8
3𝑥 − 2
=8
2
17
÷2
−8
𝑥
𝑥
−3
𝑥
×3
I think of a number. I divide it by 8.
The answer is 3
What was the number?
I think of a number and then add 3. I
multiply the answer by 8. The answer
is 40.
What was the number?
÷2
3𝑥
−3=9
2
𝑥
𝑥
Algebra Equation
40
𝑥
=3
8
Solution
Words
Diagram
The length of a rectangle is 3cm
longer than the width. The perimeter
is 24cm. Find all the lengths.
There are 150 plates in three piles.
The second pile has 10 more plates
than the first pile. The third pile is
double the size of the second.
How many in each pile?
Double a number plus four equals 20.
What was the numbers
P =24
𝑥
3𝑥 + 3 = 57
𝑥+3
The sum of three consecutive numbers
has a sum of 57.
What are the numbers?
There are three angles on a straight
line. The second angle is twice as big
as the first and the third angle is 30º
greater than the first, What are the
angles?
Abbie is the younger than Bally and
Coffey. Bally is three times as old as
Abbie but Coffey is 5 years older than
Abbie. The sum of their ages 45. How
old is each person?
The mean of 3 numbers is 5. Two of
the numbers are 2 and 3.
What is the third number?
Equation
2𝑥
𝑥
1st
2nd
𝑥
3rd
𝑥+1
1st
180
𝑥 + 30
𝑥+2
2nd
57
3rd
2𝑥+20
150
𝑥+10
𝑥
A
B
𝑥
3𝑥
𝑥
𝑥
𝑥
C
1
1
1
+2
3
4𝑥 + 30 = 150
45
20
+3
𝑥+5
=5
3
3
4𝑥 + 6 = 24
𝑥+5
1
5𝑥 + 5 = 45
2𝑥 + 4 = 20
5
4𝑥 + 30 = 180
Solution