Simplifying algebraic fractions · Short practice

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Recall

Simplifying algebraic fractions — objective 1

Maths4U Original · Short practice

Let \(\displaystyle F(x)=\frac{x^{2} - 36}{x - 6}\), on its original real domain.

Find the excluded input of the original expression.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Simplifying algebraic fractions — objective 1

Maths4U Original · Short practice

Let \(\displaystyle F(x)=\frac{x^{2} - 49}{x - 7}\), on its original real domain.

Find the excluded input of the original expression.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Method

Simplifying algebraic fractions — objective 2

Maths4U Original · Short practice

Let \(\displaystyle F(x)=\frac{x^{2} - 49}{x - 7}\), on its original real domain.

Write the simplified expression as x+k. Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Simplifying algebraic fractions — objective 2

Maths4U Original · Short practice

Let \(\displaystyle F(x)=\frac{x^{2} - 64}{x - 8}\), on its original real domain.

Write the simplified expression as x+k. Find k.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Apply

Simplifying algebraic fractions — objective 3

Maths4U Original · Short practice

Let \(\displaystyle F(x)=\frac{x^{2} - 64}{x - 8}\), on its original real domain.

Evaluate F at \(\displaystyle x=13\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Simplifying algebraic fractions — objective 3

Maths4U Original · Short practice

Let \(\displaystyle F(x)=\frac{x^{2} - 4}{x - 2}\), on its original real domain.

Evaluate F at \(\displaystyle x=8\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Check understanding

Simplifying algebraic fractions — objective 4

Maths4U Original · Short practice

Let \(\displaystyle F(x)=\frac{x^{2} - 4}{x - 2}\), on its original real domain.

Solve \(\displaystyle F(x)=10\) on the original domain.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Simplifying algebraic fractions — objective 4

Maths4U Original · Short practice

Let \(\displaystyle F(x)=\frac{x^{2} - 9}{x - 3}\), on its original real domain.

Solve \(\displaystyle F(x)=13\) on the original domain.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Try written exam-style problems →