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Topic: Equations
Objectives: To solve linear equations with the unknown on one side or two sides.
(Level 5/6)
Keywords: equation, unknown, operation, inverse, balance, solve
Monday 10 April 2023
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Mental Algebra StarterYou have 10 seconds for
each question (1 – 10)
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1
3a +5a
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2
3b + 2 + 2b + 4
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25y – 11y
3
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17c + 2c – 5c
4
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If d = 3, what is 4d?
5
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If e = -3, what is 2e?
6
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If t = 2, what is 4(t+1)?
7
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If x = 5, what is 4(x-1)?
8
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If d = 3, evaluate 5d+1
9
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2y=6
What is y?
10
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Answers
1) 8a 6) -6
2) 5b + 6 7) 12
3) 14y 8) 16
4) 14c 9) 16
5) 12 10) 3
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Great job!
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If I add 7 to a number I get 18.What is my number?
My number is 11
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Together 2 bags of sweets contain 40 sweets.How many sweets in each bag?
Each bag contains 20 sweets
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Ali will be 21 years old, in 8 years time.How old is Ali?
Ali is 13 years old
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Great job!
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Equations – Success if you can do these
3x = 6
x/4 = 2
x + 3 = 17
x – 4 = 13
3x + 4 = 25
4x – 3 = 17
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© T Madas
n + 5 = 12
n+5
12
12–57
n = 7
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If I add 7 to a number I get 18.What is my number?
n = 18
n+7
1818
–711
n = 11My number is 11
+ 7
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Together 2 bags of sweets contain 40 sweets.How many sweets in each bag?
2b = 40
bx2
4040
÷220
b = 20Each bag contains 20 sweets
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Ali will be 21 years old, in 8 years time.How old is Ali?
a = 21
a+8
2121
– 813
a = 13Ali is 13 years old
+ 8Age now
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How to solve thex + 3 = 10
type of equation
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You get rid of the
+ 3 by - 3
But you must subtract 3 from both
sides
x + 3 =10
x + 3 – 3 = 10 - 3
x = 7
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For equations like x + 3 = 10
just subtract 3 from both sides
x + 3 = 10
x = 10 - 3
x = 7 Like this
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How to solve thex – 3 = 7
type of equation
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You get rid of the
– 3 by
+ 3
But you must to add 3 to both sides
x – 3 = 7
x – 3 + 3 = 7 + 3
x = 10
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For equations like x – 3 = 7
just add 3 to both sides
x – 3 = 7
x – 3 + 3 = 7 + 3
x =10 Like this
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How to solve the5x = 20
type of equation
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5x = 20 means 5 X x =
20
5x = 20
5 X x = 20
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5x = 20 means 5 X x =
20
So, you get rid of the 5 X by
÷ 5
5x = 20
5 X x ÷ 5 = 20 ÷ 5
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5x = 20 means 5 X x =
20
So, you get rid of the 5 X by
÷ 5
5x = 20
5 X x ÷ 5 = 20 ÷ 5
x = 4
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5x = 20 means 5 X x =
20
So, you get rid of the 5 X by
÷ 5
But you must divide both sides by 5
5x = 20
5 X x ÷ 5 = 20 ÷ 5
x = 4
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For equations like 5x = 20
just divide both sides by the number that multiplies the x.
5x = 20
x = 20 ÷ 5
x = 4 Like this
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How to solve thex/3 = 4
type of equation
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x/3 = 4
x ÷ 3 = 4
It means
x ÷ 3 = 4
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x/3 = 4
x ÷ 3 = 4
x ÷ 3 X 3 = 4 X 3
Get rid of
÷ 3 by
using a
X 3
It means
x ÷ 3 = 4
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x/3 = 4
x ÷ 3 = 4
x ÷ 3 X 3 = 4 X 3
x = 12
Get rid of
÷ 3 by
using a
X 3
It means
x ÷ 3 = 4
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x/3 = 4
x ÷ 3 = 4
x ÷ 3 X 3 = 4 X 3
x = 12
Get rid of
÷ 3 by
using a
X 3
You must
X 3 on both
sides
It means
x ÷ 3 = 4
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For equations like x/3 = 4
just multiply both sides by the number that divides the x.
x/3 = 4
x = 4 X 3
x =12 Like this
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Remember, always do the same thing to both sides.
Felix is checking that you do this properly.
x/3 = 12
x ÷ 3 X 3 = 12 X 3
x =36
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If I double my house number and then subtract 4, I get 18.What is my house number?
2n = 18– 4
nx2 18
18+411
– 4
22÷2
n = 11I live at number 11
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Cassie has 5 stamps. She bought another three books of stamps and now has 23 stamps.How many stamps in each book?
5 = 23+ 3b3b + 5 = 23
bx3 23
23–56
+5
18÷3
b = 6Each book contains 6 stamps
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Plenary: Evaluating your own progress
Now go over your work, taking note of the mistakes and errors that you made. • At what Level would you assess yourself ?
• Describe something that you have learned.
• Do you feel you have met the objectives of the lesson?
• Write one sentence to describe your progress in this lesson.
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Great job!