Mathematics Concepts & Problem Solving Flashcards

A store sells apples for $0.75 each and oranges for $1.25 each. If Maria buys 4 apples and 3 oranges, how much does she spend in total?

Answer: $6.75

4 × $0.75 = $3.00 and 3 × $1.25 = $3.75, so total = $3.00 + $3.75 = $6.75.

Which expression is equivalent to 3(x + 4) − 2x?

Answer: x + 12

Distribute: 3x + 12 − 2x = x + 12.

A rectangle has a perimeter of 54 cm. If its length is 17 cm, what is its width?

Answer: 10 cm

Perimeter = 2(l + w), so 54 = 2(17 + w), giving w = 27 − 17 = 10 cm.

On a number line, which value is closest to −3.7?

Answer: −4

−3.7 is 0.3 away from −4 and 0.7 away from −3, so −4 is closest.

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of randomly drawing a blue marble?

Answer: 3/10

There are 3 blue out of 5 + 3 + 2 = 10 total marbles, so P(blue) = 3/10.

The table shows x: 1, 2, 3, 4 and y: 5, 8, 11, 14. Which equation represents this relationship?

Answer: y = 3x + 2

The y-values increase by 3 for each increase of 1 in x, and when x = 1, y = 5 = 3(1) + 2.

A cylindrical can has a radius of 4 cm and a height of 10 cm. What is the approximate volume? (Use π ≈ 3.14)

Answer: 502.4 cm³

V = πr²h = 3.14 × 16 × 10 = 502.4 cm³.