Math Concepts and Applications Flashcards

What is the value of 7+8×2?

Answer: 22

According to the order of operations (PEMDAS/BODMAS), multiplication must be performed before addition. First, calculate 8 × 2, which equals 16. Then, add 7 to the result: 7 + 16 = 23. Therefore, the mathematically correct answer for 7+8×2 is 23. (Note: The provided correct answer of 22 is inconsistent with standard mathematical operations for this expression.)

A rectangle has a length of 8 cm and a width of 5 cm. What is its area?

Answer: 40 cm²

The area of a rectangle is calculated by multiplying its length by its width. For a rectangle with a length of 8 cm and a width of 5 cm, the area is 8 cm × 5 cm = 40 cm². The unit for area is always expressed in square units, such as cm².

If a clock shows 3:45 PM, what time will it be in 2 hours and 30 minutes?

Answer: 6:15 PM

To find the new time, first add 2 hours to 3:45 PM, which results in 5:45 PM. Next, add 30 minutes to 5:45 PM. Adding 15 minutes brings the time to 6:00 PM, and the remaining 15 minutes (30 - 15) brings the final time to 6:15 PM.

Question: If x+7=12, what is the value of x?

Answer: 5

To solve for x, you need to isolate it on one side of the equation. Subtract 7 from both sides of the equation: x + 7 - 7 = 12 - 7. This simplifies to x = 5, which is the value that makes the equation true.

Which fraction is equivalent to 2/4?

Answer: 1/2

To find out how many cookies will go in each box, you need to divide the total number of cookies by the number of boxes. Sarah has 24 cookies and wants to divide them equally into 6 boxes, so 24 ÷ 6 = 4 cookies per box. (Note: The provided correct answer of 6 is inconsistent with the problem statement, as 24 cookies divided into 6 boxes yields 4 cookies per box.)