Year 8

Inequalities and substitution (Part 1)

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.

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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