Indices/ algebra/ inequalities

Question 1

What is the multiplication law

Answer 1

x^a × x^b = x^(a+b)

Question 2

What is the division law?

Answer 2

x^a ÷ x^b = x^(a-b)

Question 3

What is the power law?

Answer 3

(x^a)^b = x^(a×b)

Question 4

Zero power law

Answer 4

x^0 = 1

Question 5

Negative power law:

Answer 5

x^(-a) = 1/x^a

Question 6

Fraction powers: x^1/2=

Answer 6

Square root of x

Question 7

Fraction powers: x^1/3=

Answer 7

Cube root of x

Question 8

Simplify = ?

Answer 8

Collect like terms - eg: 3x + 2x = 5x

Question 9

Expand brackets = ?

Answer 9

Multiple each term - eg: 2(x+3)= 2x + 6

Question 10

Factorise = ?

Answer 10

Take out common factors - eg: 6x + 9 = 3(2x + 3)

Question 11

What is rearranging?

Answer 11

Making a different letter the subject of formula.

Question 12

What is substitution?

Answer 12

Plugging in values to solve for x or the unknown.

Question 13

How do we solve an inequality?

Answer 13

We solve like a normal equation but if we divide by a negative sign, the sign flips.

Question 14

What does it mean if there is an open circle to represent an inequality on a number line?

Answer 14

That x cannot be that number. x > 2 → open circle at 2.

Question 15

What does it mean if there is a closed circle to represent an inequality on a number line?

Answer 15

That x could be the number. x <_4 → closed circle at 4