Chapter 6: Equations and Inequalities

Question 1

How do you solve regular equations involving one or more pronumerals?

Answer 1

1. Add all like terms together.
2. Isolate the pronumeral to one side by moving regular terms to one side.
3. If the pronumeral has a number to the left of it, divide the fraction and the numbers to the right by the same number.

Question 2

How do you solve a pronumeral equation involving a fraction.

Answer 2

1. Multiply the denominator of the fraction by the fraction as well as the number on the opposite side of the equation.
2. Follow the steps mentioned in solving a regular pronumeral equation.

Question 3

What is a quadratic equation?

Answer 3

A quadratic equation refers to the term ‘x^2 = c’ (where c is always a positive number.

Question 4

How do you solve a quadratic equation?

Answer 4

1. If paired with a number, divide both sides by the following number.
2. Substitute ax^2 = c into the following equation: x = ±/c.
3. Remember to leave the equation with a ‘±’

Question 5

How do you solve x^2 + bx + c = 0 through factorisation?

Answer 5

1. Find the