Forming and solving inequalities (Part 2)

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Lesson details

Key learning points

1. In this lesson, we will set up and solve inequalities in the context of word problems.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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3 Questions

Q1.
This quiz will focus on one question. The rectangle below has a length x. Its height is 3cm longer. What is an algebraic expression for the height?
3
3x
x - 3
Correct answer: x + 3
Q2.
What is an expression for the perimeter of the rectangle?
2x + 3
4x - 6
Correct answer: 4x + 6
8x
Q3.
The perimeter is greater than or equal to 18cm. What values can x take?
Other
x > 3
x ≥ 2.5
Correct answer: x ≥ 3

3 Questions

Q1.
I'm thinking of a number (call it x). If I multiply it by 3 then add 4 to it, what expression do I get?
3(x + 4)
Correct answer: 3x + 4
4(x + 3)
4x + 3
Q2.
I'm thinking of a number (call it x). If I multiply it by 3 then add 4 to it, my answer is less than 19. What range of values can my number take?
x < 4
Correct answer: x < 5
x > 4
x > 5
Q3.
I'm thinking of a number, I subtract 4 from it and then divide it by 6. My number is greater than 2. What range of values can my number take?
Correct answer: x > 16
x > 24
x > 36
x > 6