Mathematics Flashcards

What is the value of 3(x - 2) when x = 4?

Answer: 6

To find the value of the expression 3(x - 2) when x = 4, substitute 4 for x. This gives 3(4 - 2). First, perform the operation inside the parentheses: 4 - 2 = 2. Then, multiply the result by 3: 3 × 2 = 6.

Which of the following is equivalent to 2/3 + 1/6?

Answer: 5/6

To add fractions, they must have a common denominator. The least common multiple of 3 and 6 is 6. Convert 2/3 to an equivalent fraction with a denominator of 6 by multiplying both numerator and denominator by 2, resulting in 4/6. Now, add the fractions: 4/6 + 1/6 = 5/6.

What is the area of a rectangle with a length of 7 units and a width of 3 units?

Answer: 21

The area of a rectangle is calculated by multiplying its length by its width. Given a length of 7 units and a width of 3 units, the area is simply 7 multiplied by 3. Therefore, the area of the rectangle is 21 square units.

Which number is a multiple of both 4 and 6?

Answer: 12

A multiple of both 4 and 6 is a number that appears in the multiplication tables of both numbers. Multiples of 4 are 4, 8, 12, 16, 20, 24... Multiples of 6 are 6, 12, 18, 24... The smallest number that appears in both lists, and thus a common multiple, is 12.

If a triangle has angles measuring 35° and 65°, what is the measure of the third angle?

Answer: 80°

The sum of the interior angles in any triangle is always 180 degrees. If two angles measure 35° and 65°, their sum is 35° + 65° = 100°. To find the measure of the third angle, subtract this sum from 180°: 180° - 100° = 80°.

Which expression represents the commutative property of multiplication?

Answer: 4 × 5 = 5 × 4

The commutative property of multiplication states that the order in which two numbers are multiplied does not affect the product. In other words, for any two numbers 'a' and 'b', a × b = b × a. The expression 4 × 5 = 5 × 4 perfectly illustrates this property, as changing the order of the factors does not change the result.