Algebra 1

Question 1

Variable:

Answer 1

any letter used in algebra and that letter represents a mystery number or unknown. They are called variables because their value can vary or change

Question 2

Coefficient:

Answer 2

A number or symbol that is multiplying a variable. The coefficient number is usually written in front of the variable

Question 3

Constant:

Answer 3

a quantity that does not vary or change but stays the same.

Question 4

Power/index

Answer 4

a small number that is written as a superscript above a variable or number which tells us if that quantity is squared, cubed or raised to the power of 4, or raised to the power of 5 etc

Question 5

Terms:

Answer 5

a constant, a variable OR a constant multiplied by one or more variables.

Question 6

Algebra Expression:

Answer 6

must contain one or more numbers, one or more variables, and one or more arithmetic operations

Question 7

Polynomials:

Answer 7

have variables that ONLY have WHOLE NUMBER powers

Question 8

Degree of a polynomial:

Answer 8

highest power of the variable

Question 9

Linear (degree 1)

Answer 9

3x +5

Question 10

Quadratic (degree 2)

Answer 10

2x² +4x -1

Question 11

Cubic (degree 3)

Answer 11

4x³ +2x +6

Question 12

Quartic (degree 4)

Answer 12

5x⁴ -3x² +4x

Question 13

How to expand products

Answer 13

Square first term
Multiply terms + double the answer
Square last term

Question 14

(a+b)³

Answer 14

(a+b)³ =a³ +3a²b + 3ab² +b³

Question 15

power of 5 => ___ terms

Answer 15

6 terms

Question 16

HCF- Highest Common Factor

Answer 16

Divide by the biggest no. you can

Question 17

Difference of 2 squares

Answer 17

𝒂²−𝒃²=(𝒂−𝒃)(𝒂+𝒃)

Question 18

Difference of 2 cubes

Answer 18

a³-b³ = (a-b)(a²+ab+b²)

Question 19

Sum of 2 cubes

Answer 19

a³+b³ = (a+b)(a²+ab+b²)

Question 20

Quadratic trinomial

Answer 20

Guide number method

Question 21

Facrors by grouping

Answer 21

ax-bx+ay-by = (x+y) (a-b)

Question 22

Guide number method

Answer 22

Multiply 1st term x last term
find a pair of factors that add up to middle term
3x² + 11x -20
(3x20=60, 4x15=60-4+15=11)
3x² -4x +15x -20
3x(x+5) -4(x+5)

Question 23

When doing anything with fractions

Answer 23

Factorise as much as possible

Question 24

to add/subtract fractions

Answer 24

Find a common factor

Question 25

To multiply fractions

Answer 25

Top by top, bottom by bottom

Question 26

To divide fractions

Answer 26

Invert (flip) the second fraction and multiply

Question 27

Algebraic fractions with fractions

Answer 27

Multiply each term by LCM

Question 28

Binomial expansions

Answer 28

Use choose function

Question 29

Another word for answer

Answer 29

quotient

Question 30

Divisor is

Answer 30

the number being divided by

Question 31

dividend is

Answer 31

the number getting divided

Question 32

long division with algrebra

Answer 32

Divide first term of dividend by first term of divisor
multiply answer by the divisor
change signs
bring down next sign
repeat

Question 33

If you are dividing 2x³ +13x² -36, what do you need to insert

Answer 33

Insert a 0x between 13x² and -36

Question 34

If you get a remainder, is it a factor?

Answer 34

NO