Math Unit 1 Test

Question 1

The X is called the

Answer 1

VARIABLE

Question 2

The numbers in front of the variable are

Answer 2

COEFFICIENTS

Question 3

If there are no variables attached it is a

Answer 3

CONSTANT

Question 4

Each thingy separated by a sign (+,-, etc) counts as a

Answer 4

TERM

Question 5

1 Term =

Answer 5

MONOMIAL

Question 6

2 Terms =

Answer 6

BINOMIAL

Question 7

3 Terms =

Answer 7

TRINOMIAL

Question 8

An algebraic expression is called a

Answer 8

POLYNOMIAL

Question 9

Collect like terms by collecting everything with the

Answer 9

same variables

Question 10

Add and subtract using the distributive property when there’s a

Answer 10

negative

Question 11

Multiply using

Answer 11

foil

Question 12

First foil then

Answer 12

use the distributive property

Question 13

Common Factoring

Answer 13

Find the largest GCF
Place the GCF in front of the brackets
Divide each term and place them into brackets

Question 14

Grouping (for 4 terms)

Answer 14

Place brackets around the first 2 and around the second 2 terms leaving a sign in between
Common factor out each bracket
The remaining brackets should look the same
The remaining brackets become 1, the second bracket is the GCFs

Question 15

Simple Trinomials

Answer 15

Find the two numbers that ADD to B and MULTIPLY to C
Form two brackets
The square root of first term in the first position of both brackets
Two numbers found go at the end position of both brackets

Question 16

Complex Trinomials

Answer 16

List all factor terms of the last term and 1-factor pair of the first term in front of them
Multiply in an X pattern across the terms until the results add to the B term
When you find a pair that adds to b, form the brackets by reading straight across the pairs

Question 17

Difference of Squares
Must have 2 terms
Must have a subtraction sign
Both terms must be square roots

Answer 17

Make 2 brackets
Put the square root of the first term in the front of both brackets
Put the square root of the second term in the end position of both brackets
Put a + in the first and a - in the second

Question 18

Perfect Square Trinomials

Answer 18

Make 1 bracket…Square the bracket ( )2
Put the Square Root of the first term in the front position of the bracket
Put the Square Root of the third term in the end position of the bracket
Put the sign from the ‘b’ term in the bracket

Question 19

Factoring Flow Chart:

Answer 19

1. GCF
   2 terms = Diff of squares
   3 terms = perfect, simple, or complex
   4 terms = grouping

Question 20

Simplifying Rational Expressions

Answer 20

Factor ALL terms (numerator and denominator) that can be factored
State restrictions
Divide all the terms with the same base and the divide numbers

Question 21

Multiplying Rational Expressions

Answer 21

Factor ALL terms (numerator and denominator) that can be factored
State restrictions
Divide all the terms with the same base
Multiply Numerators and Multiply Denominators
Reduce if possible

Question 22

Addition and Subtractions of Rational Expression

Answer 22

Factor ALL terms (numerator and denominator) that can be factored
Find Common Denominator
Adjust the numerators by repeating what you did to each denominator
Add the Numerators if there’s a negative bc they’re being subtracted use the distributive property and then add like polynomials
Simplify/Reduce if possible

Question 23

A RADICAL is

Answer 23

a square, cube or higher root

Question 24

The RADICAL SYMBOL

Answer 24

is the square root sign

Question 25

The RADICAND is

Answer 25

It can involve coefficients, variables or simply a constant

Question 26

The INDEX

Answer 26

refers to the root value. If a value is not stated, it is assumed to be “2” or the square root

Question 27

An ENTIRE RADICAL

Answer 27

has not been simplified and has a coefficient of “1” Example √24

Question 28

A MIXED RADICAL

Answer 28

has been simplified Example 2√6

Question 29

Simplest form when:

Answer 29

The radicand has no perfect square factors other than ‘1’
The radicand does not contain a fraction
No radical appears in the denominator of the fractions

Question 30

To remove a radical from the denominator we can RATIONALIZE the DENOMINATOR which means eliminating the radical in the denominator

Answer 30

If the denominator is a MONOMIAL you multiply both the numerator and the denominator by the Radical from the denominator
If the denominator is a BINOMIAL you multiply both the numerator and the denominator by the Conjugate
(Note: the conjugate is the binomial with the middle sign switched