THEA THEA Math 3

Question 1

A car travels 270 miles in 4.5 hours. What is its average speed in miles per hour?

Accepted Answer

60 mph

Answer

Speed = distance ÷ time = 270 ÷ 4.5 = 60 mph.

Question 2

If f(x) = x² – 3x + 1, what is f(–2)?

Accepted Answer

11

Answer

f(–2) = (–2)² – 3(–2) + 1 = 4 + 6 + 1 = 11.

Question 3

A rectangle has a perimeter of 54 cm. If the length is twice the width, what is the width?

Accepted Answer

9 cm

Answer

2(l + w) = 54 and l = 2w, so 2(3w) = 54 → w = 9 cm.

Question 4

Evaluate: √144 + ³√27

Accepted Answer

15

Answer

√144 = 12 and ³√27 = 3, so 12 + 3 = 15.

Question 5

Which inequality is represented by the statement 'x is at most 7'?

Accepted Answer

x ≤ 7

Answer

'At most 7' means x cannot exceed 7, which is x ≤ 7.

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