Linear And Quadratic Equations

Question 1

What should you try to do when handling linear equations that contain fractions?

Answer 1

Multiply the whole equation by the LCM of the denominators to remove the fractions

Question 2

Remember not to divide an equation by an undetermined variable to simplify, since the variable could be 0

Question 3

How do you factor a quadratic equation, a^2+2ab+b^2?

Answer 3

Look for two numbers that multiply to b^2 and sum to 2ab

Question 4

When faced either a fraction that has a quadratic expression, what should you try to do?

Answer 4

Attempt to factor the quadratic expression to see if it will help simplify the fraction

Question 5

What is the difference of two squares?

Answer 5

(X+Y)(X-Y)=x^2-y^2

Question 6

What’s another way to express -1 in fraction form.

Answer 6

(X-y)/(y-x)

Question 7

How can you determine the number of roots of a Quadratic Equation?

Answer 7

If the value of b^2-4ac is:
positive it has two roots,
0 it has 1 root
Negative it has 0 roots

Question 8

What is Vieta’s formulas?

Answer 8

If a quadratic equation in the form ax^2+bx+c=0 has two solutions then,
The sum of the two solutions is -(b/a)
The product of the two solutions is (c/a)

Question 9

What set of numbers are whole numbers?

Answer 9

Positive integers and the number zero