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Algebra and Geometry Problem Solving

10 questions · Mathematics. Review key concepts before taking the quiz

10 questions~5 min
Algebra and Geometry Problem Solving — Qwi
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1

Which method is most efficient for solving the equation 3x/4 = 9?

2

If the expression 2(a + 3) – 4a is simplified, what is the resulting term in a?

3

A rectangle has a perimeter of 54 cm and a length twice its width. What is the width?

4

Which of the following expressions correctly represents the factorisation of x² – 9?

5

A car travels 150 km at 60 km/h and then 90 km at 45 km/h. What is the overall average speed?

6

Rearrange the formula P = 2πr to solve for r.

7

What is the sum of the interior angles of a regular pentagon?

8

If 30% of a number is 45, what is the number?

9

Which inequality correctly represents the condition that a variable x is between -2 and 5, exclusive?

10

A solid has a volume of 240 cm³ and a surface area of 180 cm². Which shape could it be?