002 FOM - Algebra

Question 1

19x-6y+3

Define parts

Answer 1

Each item is a TERM.
19 and 6 are coefficients of X and Y
3 is the constant term

Question 2

What is an algebraic expression involving x raised to the power of 2?

Answer 2

Quadratic polynomial

Question 3

Define linear equation

Answer 3

An equation in which all variables have an exponent of 1.

Ex: 6z+5y = 9

Question 4

Simplify the expression 9x-3y.

Answer 4

3(3x-y)

Question 5

Define polynomial

Answer 5

A sum of terms that are each powers of x multiplied by coefficients.

Question 6

When does a fraction equal zero?

Answer 6

If and only if its numerator equals zero.

Question 7

What is the standard form of a quadratic equation?

Answer 7

a(x^2)*bx+c=0

Question 8

What is the solution of a quadratic equation?

Answer 8

The root (i.e., the unknown value that makes the quadratic equation equal to zero).

Question 9

Express the following alternatively:

x^r)(x^s

Answer 9

=x^(r+s)

Question 10

Express the following alternatively:

x^r)/(x^d

Answer 10

=x^(r-s)

Question 11

Express the following alternatively:

x^r)(y^r

Answer 11

=(xy)^r

Question 12

Express the following alternatively:

(x^r)^s

Answer 12

=(x)^rs = (x^s)^r

Question 13

Express alternatively:

x^-r

Answer 13

=1/(x^r)

Question 14

What is x^0?

Answer 14

=1

Question 15

Express alternatively:

x^(r/s)

Answer 15

=[x^(1/s)]^r

Question 16

What is the effect of multiplying or dividing an inequality by a negative number?

Answer 16

It reverses the order of the inequality.

6>2, but (-1*6)

Question 17

Define the absolute value of x if x is

Answer 17

|x| = -x

Question 18

Describe f(x) where x=1. Define x and f.

Answer 18

• Reads “f of x”
• Means the value of f at x = 1
• x is an input, f(x) is the corresponding output.
• There can be only one output for a given input, but more than one input can give the same output.

Question 19

Define domain

Answer 19

The set of all allowable inputs for a function. Unless arbitrarily specified by the terms of the function, the domain is assumed to be all values of x that result in a real number when substituted into the function f(x).

Question 20

Where do absolute value signs fit into PEMDAS?

Answer 20

They are equivalent to parentheses.

Question 21

What is true about equations that have absolute values?

Answer 21

They usually have two solutions