Year 8

Manipulating equations and inequalities

Year 8

Manipulating equations and inequalities

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Lesson details

Key learning points

  1. In this lesson, we will continue to investigate the relationships between inequalities and equations. We determine truth statements based upon a given inequality.

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3 Questions

Q1.
Given that x > y, is the following inequality always, sometimes or never true? x + 2 > y + 2
Correct answer: Always true
Never true
Sometimes true
Q2.
Given that x > y, is the following inequality always, sometimes or never true? y > x + 5
Always true
Correct answer: Never true
Sometimes true
Q3.
Given that x > y, is the following inequality always, sometimes or never true? 2x > y + 4
Always true
Never true
Correct answer: Sometimes true

4 Questions

Q1.
Solve the equation 2x - 11 = 21
x = 11
Correct answer: x = 16
x = 5
x = 6
Q2.
Solve the inequality 2x - 11 ≤ 21
x = 16
x = 5
Correct answer: x ≤ 16
x ≤ 5
Q3.
If 2x - 11 = 21, which of the following is also true? Select one.
Correct answer: 2x - 10 = 22
2x - 11 = 20
4x - 11 < 21
4x - 22 = 21
Q4.
If a + b = 10 , which of the following is also always true? Select one.
2a + b > 10
Correct answer: a + b + 3 > 10
a + b > 20
a > 0