Year 8

Inequalities and substitution (Part 1)

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Year 8

Inequalities and substitution (Part 1)

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Lesson details

Key learning points

  1. In this lesson, we will substitute different values into an algebraic inequality to see if it is true or false.

Licence

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.
Which of the following statements is TRUE? Select one.
Correct answer: 10 - 5 ≤ 10 - 4
18 ÷ 3 = 15 ÷ 5
5 + 4 < 6 + 4
6 x 5 > 7 x 3
Q2.
Which inequality fits in the gap? 5 + 8 ____ 7 + 8?
Correct answer: <
=
>
Q3.
Which value of x does NOT satisfy the inequality x ≤ 6 (where x is a number)?
x = 4
x = 5
x = 6
Correct answer: x = 7

3 Questions

Q1.
Which of the following values of x satisfy the inequality x + 2 < 11 ? Select ONE
x = 10
x = 11
Correct answer: x = 8
x = 9
Q2.
Which of these statements are true if x = 2? Select all that apply.
11 < 13 - x
Correct answer: 2 > x - 1
2x ≤ 3
Correct answer: 3x - 1 ≥ 5
Q3.
Which of the following inequalities is satisfied if x = 3 and y = 4?
3x + 4y < 25
3x + 4y > 25
Correct answer: 4x + 3y < 25
4x + 3y > 25