THEA THEA Math 2

Question 1

A store sells a jacket originally priced at $120 at a 35% discount. What is the sale price?

Accepted Answer

$78.00

Answer

35% of $120 is $42, so the sale price is $120 – $42 = $78.

Question 2

Simplify: 3x² – 5x + 2x² + 7x

Accepted Answer

5x² + 2x

Answer

Combine like terms: (3x² + 2x²) + (–5x + 7x) = 5x² + 2x.

Question 3

A recipe calls for 2¾ cups of flour. If you want to make 1½ times the recipe, how many cups of flour do you need?

Accepted Answer

4⅛ cups

Answer

2¾ × 1½ = 11/4 × 3/2 = 33/8 = 4⅛ cups.

Question 4

What is the slope of the line passing through the points (–2, 5) and (4, –1)?

Accepted Answer

–1

Answer

Slope = (–1 – 5)/(4 – (–2)) = –6/6 = –1.

Question 5

The area of a triangle is 48 cm². If the base is 12 cm, what is the height?

Accepted Answer

8 cm

Answer

Area = ½ × base × height → 48 = ½ × 12 × h → h = 8 cm.

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