Test: Rational expressions

Dynamic domain, simplification, operations and evaluation tasks with rational expressions.

Question qty: 10
Duration in minutes: 17
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Sample questions

Simplify (x² − a²)/(x − a), where x ≠ a.
Add a/x and b/x when a = a, b = b.
State the restrictions for 1/((x − (a))(x − b)).
When may numerator and denominator factors of a rational expression be cancelled?
Multiply fractions a/b and c/d.
Evaluate (ax + b)/x when x = x.
Divide a/b by c/d.
State the restriction for 1/(x − (a)).

Rational expressions

A rational expression contains fractions involving polynomials. Its domain is restricted by denominators: no denominator may equal zero. Record excluded values before simplifying.

Operations with rational expressions

For multiplication, factor numerators and denominators and cancel common factors. For addition or subtraction, find a common denominator. Only factors may be cancelled, not separate terms in a sum; retain all restrictions from the original expression in the final result.

Test: Rational expressions

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Question Nr. 10 out of 10

Sample questions

Rational expressions

Operations with rational expressions

Test: Rational expressions

Question Nr. 1 out of 10

Question Nr. 2 out of 10

Question Nr. 3 out of 10

Question Nr. 4 out of 10

Question Nr. 5 out of 10

Question Nr. 6 out of 10

Question Nr. 7 out of 10

Question Nr. 8 out of 10

Question Nr. 9 out of 10

Question Nr. 10 out of 10

Sample questions

Rational expressions

Operations with rational expressions

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