Final Checkpoint

Test your understanding with exam-style questions.

⏱️ 25–40 min 📘 Assessment

🏆 Final Checkpoint

Answer all five questions, then calculate your score.

Simplify p ⁴ ×p ⁷ .

p ²⁸ p ¹¹ 2p ¹¹

Evaluate 16 ^3/4 .

8 12 64

Which is equivalent to 2 ⁵ =32 ?

log ₅ 32=2 log ₂ 32=5 log ₃₂ 2=5

Expand log ₃ (x ² y) .

2log ₃ x+log ₃ y log ₃ x+2log ₃ y 2log ₃ (xy)

Solve log ₂ (x−3)=4 .

13 19 64

Your result will appear here.

Next step: Redo any missed question without looking at your notes, then explain the correct law aloud.

Attempt the questions without notes first.
Use the answers or worked solutions to identify the exact step that needs attention.
Return to the relevant lesson, then retry missed questions.
You are ready to move on when you can explain your method and check your result independently.