Year 9

# Solving inequalities graphically (Part 1)

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## Lesson details

### Key learning points

- In this lesson, we will learn how to represent inequalities on a graph and what coordinates will satisfy these inequalities.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

Which of the following statements is true?

You can only solve simultaneous equations algebraically.

You can only solve simultaneous equations using graphs.

You can solve all simultaneous equations.

Q2.

Which of the following equations can you solve simultaneously?

2y + 4x = 12 and y = -2x + 4

y + 1 = x and y - x = 12

y = 3x + 4 and y - 3x = 12

Q3.

Solve y = 4x - 5 and 2y + 6x = 18 simultaneously using a graphical method.

y = -2, x = 3

y = 2, x = -3

y = 2, x = 3

Q4.

Solve 2y = 6x - 10 and 3y + 6x = 15 simultaneously using an algebraic method.

x = 1, y = 2

x = 2, y = -1

y = 2, x = 3

Q5.

Solve y + x = 5 and y = 5x + 11 simultaneously using both an algebraic method and a graphical method.

x = -6, y= 1

x = 1, y= - 6

x = 6, y = -1

### 5 Questions

Q1.

Which of the following coordinates would y<3 satisfy?

(-1, 7)

(-2, 5)

(-3, 3)

Q2.

Which of the following coordinates would x > -2 satisfy?

(-2, 5)

(-3, 3)

(-7, 2)

Q3.

Which of the following coordinates would x + y > 5 satisfy?

(-3, 3)

(-7, 2)

(0, 5)

Q4.

Which of the following inequalities would satisfy the coordinates (3, -3)?

x > 3

y < -3

y < -4

Q5.

Which of the following inequalities would satisfy the coordinates (-1, -5)?

x + y > 1

x < -1

y > -4