Algebra

Question 1

When multiplying numbers with the same base number you can?

Answer 1

Add the exponent (little) numbers

Question 2

When dividing numbers with the same base numbers you can?

Answer 2

Subtract the exponent numbers

Question 3

When you have exponents inside and outside the brackets you?

Answer 3

Multiply them

Eg: (3 to the power of 4)2 (to the power of 2)

= 3 to the power of 8

Question 4

Everything to the power of 0 =?

Answer 4

1

Question 5

To expand brackets you?

Answer 5

Multiply the outside number or letter by the first number inside the brackets and then you do the same for the second number inside the brackets

Question 6

To expand quadratics you?

Answer 6

Multiply the first x or number in the first set of brackets by the first number inside the second bracket. Then multiply by the second number in the second bracket.

Then multiply the second number in the first bracket by the first number in the second bracket. Then the second number in the first bracket by the second number in the second bracket.

And simplyfyyyy

Question 7

How to factorise quadratics?

Answer 7

1. Is there a common factor? If yes, then take this out first.
2. If you can’t and there is an x squared term then you need 2 brackets.
3. Find all the numbers that multiply to the last number in the equation eg +12
4. Then look at that list and find out what adds to the other number in the equation with another x after it
5. Then put this into brackets. The first thing in each bracket must be the x so they can get to x squared.

eg: x squared + 7x + 12
1 x 12 = 12
2 x 6 = 12
3 x 4 = 12

3 + 4 = 7

3 x 4 = 12 3 + 4 = 7

(x + 3)(x + 4)

Question 8

Sometimes there may already be a common factor in the equation you want to factorise into quadratics. If so, what should you do?

Answer 8

You should take out the common factor and put it at the front. Then factorise as per usual.

Question 9

When writing an equation you should?

Answer 9

• draw a diagram if possible
• write a list if no diagram
• call the smallest unknown number x
• label every other number in relation to x or you will not be able to solve it

Question 10

When solving quadratics that equal 0 you?

Answer 10

Simply seperate each bracket

Eg: (x +2)(x-3)= 0
x+2 = 0 x-3=0

Then work out the equation. But basically it is just the opposite. If it is a negative to start with the answer will be a positive and vice versa.

Write the answer like this
x= -2 or 3

Question 11

When solving harder quadratics the don’t equal 0 you?

Answer 11

Must change it so that the number it equals is 0 by moving it over the = sign and then simplifying and joining it on. It then equals 0

Eg: ……. -10 = 4

           - 10 - 4
           - 14 = 0