Simple Equations with Variables

Simple Equations-6th

​Sixth Grade simple equations with add, subtract, multiply

Equations must be balanced

x + 3 = 20

-3 -3

x = 17

​ Variables= constants

​Variables: unknown numbers ( symbols/ letters)

Constants: Known numbers

​There are two Hand Sides in an equation, we follow just one step to find the solution :

​Step 1: Isolate the variable ( remove numbers from its handside by adding or subtracting the number )
Remember to keep the balance

Multiple Choice

Solve the equation:

k + 9 = 17

• 8

• 26

• 10

Multiple Choice

n - 5 = 13

What is the next step?

• subtract 5 both sides

• add 5 to both sides

• n = 8

Multiple Choice

How would you solve:

32 + x = 60

• subtract 32 from both sides

• add x to both sides

• add x both sides, then -60

• add 32 to 60

Multiple Choice

The next step in this equation:

m + 18 = 24

• add 24 to 18

• -6 from both

• m= 42

• -18 from both sides

Multiple Choice

25 = 15 + n

Which of these would be the best way to solve this equation in one step?

• -15 from both sides

• -n from both sides

• add 15 to both sides

• -n both sides, then -15

Multiple Choice

25 = 15 + n

• -10

• 10

• 25

• -15

Multiple Choice

b /2 = 6

• b=

• b=8

• b=12

• b=4

Multiple Choice

x + 19 = 129

• 110

• 108

• 118

• 119

Multiple Choice

5x = 35

• 7

• 5

• 6

• 30

Case 2: In case there is a coefficient for the variable ( number multiplied by variable)
The inverse operation is to divide both sides by the coefficient, after isolating the variable

Multiple Choice

15n = 60

• n = 75

• n = 5

• n = 4

• n = 15

Multiple Choice

8n = 32

• n=8

• n=4

• n=5

• n=9

​case 3: In case the variable is divided by a number, the inverse operation is to multiply both sides by that number( after step 1, isolating variable)

Multiple Choice

60/m = 12

• m=4

• m=5

• m=7

• m=8

​Home work on the copybook solve:
1) x- 20 = 45

1) 3x + 4 = 19

2) x/5 +2 = 4