Forming and solving inequalities (Part 1)

Forming and solving inequalities (Part 1)

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?
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

Lesson appears in

UnitMaths / Forming and solving inequalities