Year 9

Exploring expressions with two variables

Year 9

Exploring expressions with two variables

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Lesson details

Key learning points

  1. In this lesson, we will explore expressions with two variables and how to interpret them. We will also look at examples involving spending money on combinations of pens and pencils.

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5 Questions

Q1.
Look at the picture below and then fill in the gap: If the same expression is __________ to two equal quantities, then the two resulting expressions will be equal.
An image in a quiz
Correct answer: added
divided
multiplied
subtracted
Q2.
Look at the picture below and then fill in the gap: If the same expression is ___________ from two equal quantities, then the two resulting expressions will be equal.
An image in a quiz
added
divided
multiplied
Correct answer: subtracted
Q3.
Look at the picture below and then fill in the gap: If two equal expressions are both _____________ by the same quantity, then the two resulting expressions will be equal.
An image in a quiz
added
divided
Correct answer: multiplied
subtracted
Q4.
Look at the picture below and then fill in the gap: If two equal expressions are both __________ by the same quantity, then the two resulting expressions will be equal.
An image in a quiz
added
Correct answer: divided
multiplied
subtracted
Q5.
If 𝑥 + 𝑦 = 100, then what is the value of 2𝑥 + 2𝑦 - 20?
160
Correct answer: 180
200
220

5 Questions

Q1.
If a protractor costs 50p and a ruler costs 60p, what is the cost of 3 protractors and 2 rulers?
£1.10
£1.50
Correct answer: £2.70
5
Q2.
Given that p=3 and r=5, evaluate 3p+2r.
Correct answer: 19
21
5
9p+10r
Q3.
I want to buy 3 rulers and 3 protractors. If they cost 40 pence each, how much will I spend?
£1.20
Correct answer: £2.40
£24
40 pence
Q4.
Given that y=13, which of the following expressions is equal to 195?
13y
Correct answer: 15y
182y
195y
Q5.
If x=4 and y=5, which of the following expressions is equal to 24?
4x+y
Correct answer: 4y+x
x+3y
x+y