Algebra

Question 1

What is a variable

Answer 1

A letter that can represent any number

Question 2

Sum

Answer 2

is the answer when you add (e.g. sum of a and b is a+b)

Question 3

Difference

Answer 3

is the answer when you subtract (e.g. the difference of a and b is a-b)

Question 4

Product

Answer 4

is the answer when you multiply (e.g. a x b is written ab, product of a and b is a x b)

Question 5

Quotient

Answer 5

is the answer when you divide (a ÷ b is written a/b)

Question 6

Double

Answer 6

means to multiply by 2

Question 7

Halve

Answer 7

means to divide by 2 or multiple by 1/2 or 0.5

Question 8

Triple

Answer 8

means to multiple by 3

Question 9

Square

Answer 9

is a number multiplied by itself (e.g. square 7 is 7 x 7 = 49)

Question 10

Why are letters and number helpful in math?

Answer 10

• Faster way to describe a situation than using words
• Expression that applies to any situation

Question 11

Alegbra Tiles:
- What colour do you use for positive numbers and negative numbers

Answer 11

• positive terms – shaded
• negative terms – not-shaded

Question 12

Algebra Tiles – using letters – what is the one rule to remember

Answer 12

Do not use the same letter to represent two different shapes

Question 13

Coefficient

Answer 13

a number in front of a variable that does not change

Question 14

Variable

Answer 14

An unknown quantity represented by a letter

Question 15

Term

Answer 15

A product of letters and/or numbers including single variables or constant

Question 16

Binominal

Answer 16

An expression with two terms

Question 17

Monomial

Answer 17

an expression with one term

Question 18

Constant

Answer 18

a number on its own that does not change (no letter attached)

Question 19

Trinominal

Answer 19

An expression with three terms

Question 20

Coefficient

Answer 20

A number in front of a variable that does not change

Question 21

Polynominal

Answer 21

Expression made up of one or more terms – exceptions: variable demonimator, variable under root sign, negative exponents – not polynominals

Question 22

Degree of a term

Answer 22

Total number of letters in a term

For a term with one variable, the degree is the variable’s exponent. With more than one variable, the degree is the sum of the exponents of the variables.

Question 23

Degree of a polynomial

Answer 23

Largest degree overall within the polynomial

Question 24

Does 4(a + b) could as one term or two?

Answer 24

One

Question 25

What are equivalent polynomials

Answer 25

Polynomials that have the same terms but in a different order

Question 26

What is a like term

Answer 26

same variables and the same exponents

Question 27

What is an unlike terms

Answer 27

different variables and difference exponents

Question 28

What are zero pairs

Answer 28

Pairs when like algebra tiles or like terms cancel out

Question 29

What are equivalent polynomials

Answer 29

Polynomials that have the same terms, but in a different order

Question 30

How do you multiply polynomials?

Answer 30

Multiply the coefficients and then multiply variables using exponents laws (add the exponents together)

Question 31

How do you divide polynomials?

Answer 31

Divide the coeffcients and then use exponent laws on variables (subtract the exponents of same variables)

Question 32

What is important to pay attention to when adding or subtracting polynomials?

Answer 32

Pay very close attention to the signs -- (a positive and a negative = negative; and positive and positive = positive; negative and a positive = negative) And pay close attention to the variables -- make sure you are combining the same variables (have the same letters and degrees)