Year 8

Forming and solving inequalities (Part 1)

Year 8

Forming and solving inequalities (Part 1)

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Lesson details

Key learning points

  1. In this lesson, we will set up and solve inequalities in the context of area and perimeter of rectangles.

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3 Questions

Q1.
What is the solution to the following inequality: x - 4 ≤ 10
x = 14
Correct answer: x ≤ 14
x ≤ 6
x ≥ 6
Q2.
What is the solution to the following inequality: 3x + 4 > 10
x = 14/3
x = 2
x > 14/3
Correct answer: x > 2
Q3.
What is the solution to the following inequality: 4x + 4 ≥ 2x + 10
x ≥ 1
x ≥ 2
Correct answer: x ≥ 3
x ≥ 4

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?
An image in a quiz
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