Manipulating equations and inequalities

Manipulating equations and inequalities

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.

Licence

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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

Lesson appears in

UnitMaths / Forming and solving inequalities