Equations

Question 1

work out a + 4 = 9

Answer 1

a = 5

Question 2

solve 5y = 20

Answer 2

5y divided by 5 = 20 divided by 5

Y = 4

Question 3

Remember to perform the ……. operation to ……… sides

Answer 3

Same , both

Question 4

With more complex equations your aim is to get ………. on one side and numbers on another

Answer 4

unknowns

Ps.this is just so u no how to do the next few Qs

Question 5

Solve 3x + 2 = 8

Answer 5

-2 from both sides =
3x = 6
Divide 3 to both sides =
X = 2

Question 6

If the term in x is negative it’s the same ~ your aim is to get all x’s on one side

Answer 6

To know how to do the next few Qs

Question 7

Work out 5x - 2 = 12 - 2x

Answer 7

\+ 2x to each side =
7x - 2 = 12 
\+ 2 to each side = 
7x = 14 
Divided by 7 = 
X = 2

Question 8

To expand a bracket, multiply everything ……… by the ………….. number

Answer 8

inside , outside

Question 9

Solve 2(3a + 5)

Answer 9

(2 x 3a) + (2 x 5) =

6a + 10

Question 10

1/2 x is the same as…

Answer 10

x/2

Question 11

1/4x is the same as…

Answer 11

x/4 - x is numerator and the original denominator stays the same ( 3/5 = x/5)

Question 12

Equations with fractions are solved by doing the ….. thing to both sides of the equation

Answer 12

Same

Question 13

Solve 1/2x = 3 (or x/2 = 3)

Answer 13

multiply both sides by 2 =

x = 6

Question 14

Fraction on both sides is worked out by multiplying both sides by the LCM of the denominator

Answer 14

To understand next Qs

Question 15

Work out. X-3/2 = x-2/3

x-3 over 2 = x-2 over 3

Answer 15

LCM = 6 so times both sides by 6
3(x-3) = 2(x-2)**
Expand = 3x - 9 = 2x - 4
-2x =  x - 9 = -4
\+9 =
x = 5
**to get to this you should look at the fractions denominator and see how many of that number go into the LCM

Question 16

With more complex equations your aim is to get ………. on one side and numbers on another

Answer 16

unknowns

Ps.this is just so u no how to do the next few Qs

Question 17

Solve 3x + 2 = 8

Answer 17

-2 from both sides =
3x = 6
Divide 3 to both sides =
X = 2

Question 18

If the term in x is negative it’s the same ~ your aim is to get all x’s on one side

Answer 18

To know how to do the next few Qs

Question 19

Work out 5x - 2 = 12 - 2x

Answer 19

\+ 2x to each side =
7x - 2 = 12 
\+ 2 to each side = 
7x = 14 
Divided by 7 = 
X = 2

Question 20

To expand a bracket, multiply everything ……… by the ………….. number

Answer 20

inside , outside

Question 21

Solve 2(3a + 5)

Answer 21

(2 x 3a) + (2 x 5) =

6a + 10

Question 22

1/2 x is the same as…

Answer 22

x/2

Question 23

1/4x is the same as…

Answer 23

x/4 - x is numerator and the original denominator stays the same ( 3/5 = x/5)

Question 24

Equations with fractions are solved by doing the ….. thing to both sides of the equation

Answer 24

Same

Question 25

Solve 1/2x = 3 (or x/2 = 3)

Answer 25

multiply both sides by 2 = | x = 6

Question 26

Fraction on both sides is worked out by multiplying both sides by the LCM of the denominator

Answer 26

To understand next Qs

Question 27

Work out. X-3/2 = x-2/3 | x-3 over 2 = x-2 over 3

Answer 27

``` LCM = 6 so times both sides by 6 3(x-3) = 2(x-2)** Expand = 3x - 9 = 2x - 4 -2x = x - 9 = -4 +9 = x = 5 **to get to this you should look at the fractions denominator and see how many of that number go into the LCM ```