Advanced Math · Rational Expressions
SAT Rational Expressions Practice Questions (Free + Explanations) | Quiz 3
For , which expression is equivalent to ?
Factor the numerator: . Then
because , so dividing by is allowed. The equivalent expression is .
To simplify a rational expression, factor the numerator or denominator and cancel only common factors, while keeping any stated restrictions on the variable.
A point on the graph of has an -coordinate of . What is the -coordinate of the point?
Substitute into the equation . Then
So the point on the graph has -coordinate .
For a graph defined by a rational expression, use the given coordinate in the equation to find the missing coordinate.
On the coordinate plane, the graph of passes through the point . What is the value of ?
For a point on the graph of , the coordinates satisfy the equation. Substitute and :
Multiply both sides by :
So the correct answer is .
For a rational equation of the form , use any point on the graph and solve for the constant .
The area of a rectangle is represented by square units, and its length is units. What is the width of the rectangle, in units, in terms of ?
For a rectangle, . So the width is
Therefore, the correct answer is .
Use the rectangle formula . If area and length are given, solve for width by dividing: .
A moving company charges a flat fee of \30 plus \2 per box moved. If a customer pays a total of \
The total cost is the flat fee plus \b30+2b=70b2b=70-30b=\frac{70-30}{2}\frac{70-30}{2}
For a situation with a fixed fee and a per-item charge, subtract the fixed fee from the total first, then divide by the per-item rate.
Your results
Estimated SAT Math band
500-550
Illustrative range from this short quiz—not an official College Board score.
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More SAT Math practiceYour results
Estimated SAT Math band
500-550
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practiceYour results
Estimated SAT Math band
600-650
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practiceYour results
Estimated SAT Math band
600-650
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practiceYour results
Estimated SAT Math band
700+
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practiceYour results
Estimated SAT Math band
700+
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practice