Mathematics Concepts & Problem Solving Flashcards

What is the value of 3x when x = 4?

Answer: 12

To find the value of an algebraic expression, substitute the given value for the variable. In this case, replace 'x' with '4' in the expression '3x'. This means calculating 3 multiplied by 4, which equals 12.

Which operation should be done first in the expression 5 + 3 × 2?

Answer: 3 × 2

According to the order of operations, often remembered by the acronym PEMDAS/BODMAS, multiplication and division should be performed before addition and subtraction. In the expression 5 + 3 × 2, the multiplication (3 × 2) must be calculated first, resulting in 6, before adding it to 5.

If a rectangle has a length of 8 units and a width of 3 units, what is its area?

Answer: 24

The area of a rectangle is calculated by multiplying its length by its width. For a rectangle with a length of 8 units and a width of 3 units, the area is 8 units × 3 units, which equals 24 square units.

Which number is a multiple of both 3 and 5?

Answer: 15

A multiple of a number is the result of multiplying that number by an integer. To be a multiple of both 3 and 5, a number must be divisible by both. The number 15 is a multiple of 3 (3 × 5 = 15) and a multiple of 5 (5 × 3 = 15), making it the correct answer.

What is the perimeter of a square with sides of 5 units?

Answer: 20

The perimeter of a square is the total length of all its sides. Since a square has four equal sides, you can find the perimeter by multiplying the length of one side by four. For a square with sides of 5 units, the perimeter is 5 units × 4, which equals 20 units.

What is 50% of 60?

Answer: 30

50% represents half of a given quantity. To find 50% of 60, you simply divide 60 by 2. This calculation yields 30, making it the correct answer.

Which of the following is equivalent to 3/4?

Answer: 0.75

To convert a fraction into a decimal, you divide the numerator by the denominator. For the fraction 3/4, dividing 3 by 4 results in 0.75. Therefore, 0.75 is the decimal equivalent of 3/4.

What is the next number in the pattern: 2, 4, 8, 16, ...?

Answer: 32

This pattern is a geometric sequence where each subsequent number is obtained by multiplying the previous number by 2. Following this rule, 2 multiplied by 2 is 4, 4 by 2 is 8, and 8 by 2 is 16. Therefore, the next number in the sequence is 16 multiplied by 2, which equals 32.

Which expression is equal to 18?

Answer: 6 + 12

To determine which expression equals 18, we evaluate each option. The expression 6 + 12 directly sums to 18. The other options result in different values (3x5=15, 20-5=15, 2x6=12).