Unit 7 Quiz 2025 PDF - Maths Quiz
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2025
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This is a mathematics quiz, containing questions on simplifying expressions, solving equations, and performing operations on functions, suitable for secondary school students. The quiz covers topics from unit 7.
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Name: _____________________________________ Unit 7 Quiz – 7.1-7.4 Rewrite the expression in radical form. Then evaluate. 3 3 4 2 1. 164 2. 25−2...
Name: _____________________________________ Unit 7 Quiz – 7.1-7.4 Rewrite the expression in radical form. Then evaluate. 3 3 4 2 1. 164 2. 25−2 3. −325 4. (−8)3 Solve the equation. Round your answers to two decimal places. 5. 2𝑥𝑥 2 = 12 6. (𝑥𝑥 + 3)3 = 14 Write the expression in simplest form. 2 2 1 3 8 3 7. 1 8. 3 9. √3 ∙ √9 10. 23 + 3(23 ) − 3 5 Write the expression in simplest form. Assume all variables are positive. (Hint: You can switch forms if needed to simplify) 3 2 2 4 3 3 𝑥𝑥 3 𝑦𝑦 11. √𝑥𝑥 2 ∙ √𝑥𝑥 12. 𝑥𝑥 3 13. 81𝑥𝑥 5 𝑦𝑦 3 14. 3 𝑥𝑥 −2 𝑦𝑦 4 1 1 Let 𝑓𝑓(𝑥𝑥) = 5𝑥𝑥 2 − 𝑥𝑥 3 and 𝑔𝑔(𝑥𝑥) = 4𝑥𝑥 3. Perform the indicated operation. 15. 𝑓𝑓(𝑥𝑥) − 𝑔𝑔(𝑥𝑥) 16. 𝑓𝑓(𝑥𝑥) ∙ 𝑔𝑔(𝑥𝑥) 𝑓𝑓(𝑥𝑥) 17. 𝑓𝑓(𝑥𝑥) + 𝑔𝑔(𝑥𝑥) 18. 𝑔𝑔(𝑥𝑥) Let 𝑓𝑓(𝑥𝑥) = 4𝑥𝑥 −1 and 𝑔𝑔(𝑥𝑥) = 𝑥𝑥 − 6. Perform the indicated operation. 19. 𝑓𝑓(𝑔𝑔(𝑥𝑥)) 20. 𝑔𝑔(𝑓𝑓(𝑥𝑥)) 21. 𝑓𝑓(𝑓𝑓(𝑥𝑥)) Verify that f and g are inverse functions. 𝑥𝑥+2 22. 𝑓𝑓(𝑥𝑥) = 3𝑥𝑥 − 2, 𝑔𝑔(𝑥𝑥) = 3 Find the inverse function. 23. 𝑓𝑓(𝑥𝑥) = 2𝑥𝑥 + 7 24. 𝑔𝑔(𝑥𝑥) = 3𝑥𝑥 4 , 𝑥𝑥 > 0
