Algebra

Question 1

What is a variable?

Answer 1

Is a letter(usually y or X) that represents an unknown or changing number

Question 2

What is the coefficient?

Answer 2

Is the number or symbol that is multiplying a variable

Question 3

In 20y, which figure is the coefficient?

Answer 3

20

Question 4

What is a constant?

Answer 4

Is a quantity that does not change in value, like a number by itself

Question 5

What is a term?

Answer 5

Is a product of a constant and any number of variables

Question 6

Give an example of a term.

Answer 6

7xsquaredy

Question 7

Give the order of BIMDAS

Answer 7

• Brackets
• Indices
• Multiplication/Division
• Addition/Subtraction

Question 8

What comes first, division or multiplication?

Answer 8

Division comes before multiplication

Question 9

What does simplify mean?

Answer 9

To make the expression simpler by adding, subtracting, multiplying or dividing

Question 10

How do you multiply terms?

Answer 10

Coefficient x Coefficient

Variable x Variable

Question 11

What do we do when multiplying terms with indices/powers?

Answer 11

When multiplying terms we add the powers/ indices of that variable

Question 12

What does expand mean in algebra?

Answer 12

Removing the brackets using the correct method

Question 13

What does LCD stand for?

Answer 13

Lowest Common Denominator

Question 14

What is factorising?

Answer 14

Is the reverse of expanding. We turn the given expression into a product

Question 15

What is a product?

Answer 15

Is when you rewrite an expression, being two or more terms that when multiplied together will give the original expression

Question 16

Name two factors of 35.

Answer 16

5 and 7 as when they are multiplied together they make 35

Question 17

Name four methods of factorising.

Answer 17

• Highest common factor
• Difference of two squares
• Quadratic Trinomials
• Grouping

Question 18

Using HCF, factorise xsquared -3x

Answer 18

=x(x-3)

x times x is x squared and x times 3 is 3x

Question 19

Factorise ax - bx + ay - by

Answer 19

= x(a-b) + y(a-b)

= (x+y)(a-b)

Question 20

Factorise xsquared - ysquared using difference of two squares

Answer 20

=(x+y)(x-y)

Question 21

What factorising method would you use for this expression xsquared + 8x + 15

Answer 21

(x+5)(x+3)

Factors of the 15 when added together must make the 8.