Linear & Quadratic Equations

Question 1

Dividing by a variable or variable expression

Answer 1

You cannot divide by variable or variable expression unless you know the variable does not equal zero.

If dividing by a variable expression gives you a number, then there might be a way to factor the expression to get into a simplified variable form.

Question 2

When an expression must equal integer

Answer 2

Use this hint in the stem to your advantage. Integer requirements will create scenarios in which an expression must be divisible by its denominator. Must be div by 2, 3, 4, etc. Use the answer choices to plug in and cross anything out that doesn’t produce an integer. You should have an answer because all others will create fractions.

Question 3

When an expression must equal integer

Answer 3

Use this hint in the stem to your advantage. Integer requirements will create scenarios in which an expression must be divisible by its denominator. Must be div by 2, 3, 4, etc. Use the answer choices to plug in and cross anything out that doesn’t produce an integer. You should have an answer because all others will create fractions.

Question 4

(1-x)/(x-1) Trick

Answer 4

If you’re going to use the (1-x)/(x-1) trick to simplify an expression, you might have the option to do it on a complex or simpler expression. Use the simpler to facilitate the distribution of the negative 1.

Question 5

If the expression on the numerator and denominator are both raised to the same power, they can be combined inside the parenthesis.

Answer 5

(x-y)^2/(x^2y^2) = [(x-y)/(xy)]^2