3.b

Question 1

How can you solve a system with three equations?

Answer 1

Try combine two of the equations.

You can use both substitution and combination

Question 2

What is the LCD of 1/6, 1/5 and 1/12?

Answer 2

60

Question 3

What is the LCD?

Answer 3

Least common denominator

Question 4

What can you use an LCD for?

Answer 4

If you multiply both sides of the equation by the LCD, you can eliminate any fractions

Question 5

How do you find the LCD when one of the denominators is a variable?

Answer 5

Use the other number denominators, and then add the variable onto the LCD

Question 6

What is the LCD of this?

Answer 6

Use 2 and 5, LCD is 10
Then incorporate the variable n

LCD is 10n

Question 7

What does it mean to “solve for x in terms of y”?

Answer 7

Manipulate the equation such that x is isolated on one side of the equal side, and the expression containing y is on the other

Question 8

When all the terms in an expression have a common factor, it can be ______

Answer 8

When all the terms in an expression have a common factor, it can be FACTORED OUT

Question 9

4X + 4Y = 16

How can you factor this out?

Answer 9

4X + 4Y = 16
4(X+Y) = (4)(4)
X+Y=4

Question 10

If the product of two integers are one, what are the two integers?

Answer 10

1 OR -1

Dont forget that -1 x -1 = 1

Question 11

What is the zero product property?

Answer 11

If the product of two quantities is equal to 0, then at least one of the quantities has to be equal to 0

Question 12

If a x b = 0, what must be true?

Answer 12

The zero product property applies!

So a, OR b MUST be 0
(or both are 0!)

Question 13

If (n+4)(n-1) = 0, what must be true?

Answer 13

The zero product property applies!

So either (n+4) OR (n-1) must be 0, (or both)

Question 14

What is the value of x?

x (x + 100) = 0

Answer 14

x (x +100) = 0
(x + 100) = 0
So, x = -100

However…
x (x + 100) = 0
0 (x + 100) = 0
So, x can also be 0

x = -100, and, 0