Algebra

Exercise 5.1 - Pronumerals and Variables

100

Another word for add.

What is the sum, total, plus, altogether etc.?

200

Describes an unknown number if its value may change.

What is a variable?

300

Another way to say divide.

What is the quotient, share equally, how many, split into etc.?

400

Letters or symbols used for numbers with values that you don't know or that may change.

What is a pronumeral?

500

The product of e, f and 7.

What is 7ef?

Exercise 5.2 - Terms, Expressions and Equations

100

A number added to three equals seven.

What is an equation?

200

e, f and q in 3e²+4ef - 2g.

What are the variables in this expression?

300

The number 4 in 2e² + 4e + 3.

What is the coefficient of e?

400

The number 4 in 4g²+5g - 6.

What is the coefficient of g²?

500

The number -7 in e²+4e - 7.

What is the constant value?

Exercise 5.3 - Using rules

100

When x=4, 

y = x + 8

What is y=12?

200

In words,

y =  x - 18

What is 'to find y, subtract 18 from x'?

300

When v = -2

w = v + 2

What is w=0?

400

In words,

y =  18 - x
           2

What is 'to find y, subtract a number from 18, then divide the result by 2'?

500

When v = 3,

w = v² + 2

What is w = 11?

Exercise 5.4/5.5 - Formulas and Substitution / Patterns and rules

100

The cost to buy 7 fish (f),

C = 5f + 2

What is $37?

200

The distance of fence (d) that can be built with 20 pieces of timber (t) is given by the formula:

d = 3t - 6 metres

What is a distance of 54m?

300

The length of hair (h) that can be grown in 10 years (y) can be found using the formula: 

h = 20y - 4   centimetres

What is hair length of 196cm?

400

The cost (c) of dinner for 6 people (p) can be found using the formula:

C = $8p + 2

What is $50?

500

x     1          2          3          4          5          6
y     10       14        18        22         26        30

y = something 4x + ?

What is +6?