Question 1Easier
If , which of the following is a value of for which ?
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Answer: B — 3
gives , so . Of the choices, 3 is listed.
Study on the flyISEE UpperMathematics AchievementPolynomials and function notation
Mathematics Achievement
Polynomials and function notation — ISEE Upper practice questions
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What this topic is
Polynomials and function notation brings together multiplying expressions, evaluating functions and spotting patterns.
A product such as x times the quantity x plus two expands to x squared plus two x, which is how the area of a rectangle with algebraic sides is written. Solving for the input that gives a certain output means setting the rule equal to that value, and a squared term can produce two solutions, one positive and one negative.
Some items show a sequence with a missing term, where the differences between terms grow in a pattern. Answer choices often include a partly expanded form, so the full product should be written out.
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Question 2Easier
A rectangle has length and width . What is its area?
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Answer: C —
Multiply length by width.
Question 3Mid
One term is missing from the sequence . What is the missing term?
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Answer: C — 17
The amounts added are consecutive even numbers: and 8. Thus, the missing term is .
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More ISEE Upper topics
Mathematics Achievement
- Numbers and operations (factors, multiples, properties)
- Fractions, decimals, and percents; percent change
- Ratios and proportions; distance-rate-time
- Exponents, powers, roots; scientific notation
- Algebraic expressions and solving equations
- Inequalities
- Linear equations and graphs
- Plane geometry (polygons, triangles, angles)
- Coordinate geometry (midpoint, distance)
- Solid geometry (surface area, volume)
- Trigonometry
- Measurement and units
- Data analysis and probability
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