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Substitution, equivalent expressions and quadratic identities.
Free examples and worked answers. No account needed.
Practise the method.
Substitution, equivalent expressions and quadratic identities.
Substitution, equivalent expressions and quadratic identities.
Example 1
Simplify 6(x+3)−4x. What is the coefficient of x?
Show worked answer
Answer: 2
- Expand to 6x+18−4x.
- The x coefficient is 6−4=2.
Example 2
For every x,(x+2)(x+6)=x2+px+12. Find p.
Show worked answer
Answer: 8
- Expanding gives x2+(2+6)x+12
- p=8.
Example 3
Simplify 5(x+6)−2x. What is the coefficient of x?
Show worked answer
Answer: 3
- Expand to 5x+30−2x.
- The x coefficient is 5−2=3.
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