Algebra

Question 1

factors

What is the minimum number of factors of

y^2

Answer 1

y^2 has at least 3 factors

Question 2

quadratic equations

x^2 - y^2 =

Answer 2

(x+y)(x-y)

Question 3

quadratic equations

x^2+2xy+y^2

Answer 3

(x+y)(x+y)

(x+y)^2

Question 4

quadratic equations

x^2-2xy+y^2

Answer 4

(x-y)(x-y)

(x-y)^2

Question 5

quadratic equations

a^2-1

Answer 5

(a-1)(a+1)

Question 6

quadratic equations

(a+b)^2

Answer 6

a^2+2ab+b^2

Question 7

inequalities

What happens when you divide or multiply an inequality by a negative number?

Answer 7

The sign flips

-2x < 10

x > -5

NOTE: You cannot multiply or divide an inequality by a variable unless you know the sign of the number that the variable stands for

Question 8

tip

How many solutions should you be ready for when dealing with quadratic equations?

Answer 8

be ready for 2 solutions

Question 9

tip

How should you approach inequality questions?

Answer 9

Try algebraic approach first and if you can’t then test numbers

When testing, consider EXTREME VALUES

Question 10

tip

How should you approach a system of inequalities?

Answer 10

When you see a system of inequalities you should probably stack them and add them.

You shouldn’t attempt to subtract inequalities.