Mathematics Flashcards

What is the value of 7×(3+2)?

Answer: 35

To solve 7×(3+2), you must follow the order of operations (PEMDAS/BODMAS). First, calculate the expression inside the parentheses: 3 + 2 = 5. Then, multiply this result by 7: 7 × 5 = 35.

Which of the following fractions is equivalent to 3/4?

Answer: 6/8

To find an equivalent fraction, you can multiply both the numerator and the denominator by the same non-zero number. For 3/4, multiplying both by 2 gives (3×2)/(4×2) = 6/8. This means 6/8 represents the same proportion as 3/4.

What is the area of a rectangle with a length of 8 cm and a width of 5 cm?

Answer: 40 cm²

The area of a rectangle is calculated by multiplying its length by its width. In this case, 8 cm multiplied by 5 cm equals 40 cm². The unit for area is square centimeters (cm²).

If a pattern starts with 2 and doubles each time (2, 4, 8, 16...), what is the 6th term in the pattern?

Answer: 64

To find the 6th term, we start with the first term (2) and double it repeatedly. The sequence is: 1st term = 2, 2nd term = 4, 3rd term = 8, 4th term = 16, 5th term = 32, and finally, the 6th term = 64.

Solve for 𝑥: 5x+3=23.

Answer: x=4

To solve for x, first subtract 3 from both sides of the equation: 5x + 3 - 3 = 23 - 3, which simplifies to 5x = 20. Next, divide both sides by 5: 5x / 5 = 20 / 5, resulting in x = 4.