Adding 8 and 6 results in 14. This reinforces basic addition skills which are foundational in mathematics.

0.5 is equivalent to one-half when expressed as a fraction. Recognizing equivalent forms builds essential number sense.

Multiplying 3 by 4 gives 12, testing basic multiplication facts. This simple calculation helps reinforce arithmetic skills.

A square is defined by having four equal sides and four right angles. This characteristic distinguishes it from other quadrilaterals.

Dividing the numerator and denominator of 2/4 by 2 simplifies it to 1/2. This process demonstrates basic fraction reduction skills.

Subtracting 3 from both sides gives 2x = 8, and dividing by 2 yields x = 4. This problem applies basic algebraic techniques to solve for x.

0.75 is equivalent to the fraction 3/4 when simplified. Converting decimals to fractions is a key concept in middle school mathematics.

The area of a rectangle is calculated by multiplying its length by its width, so 8 x 3 equals 24 cm². This reinforces the geometric formula for area.

15% of 200 is found by multiplying 200 by 0.15, which equals 30. This problem helps build understanding of percentage calculations.

Following the order of operations, divide 12 by 3 to get 4, then add 5 to obtain 9. This question reinforces sequential arithmetic operations.

0.125 is equivalent to 1/8 when written as a fraction in simplest form. Converting decimals to fractions is an important skill in math.

A square's perimeter is the sum of all its sides, which is 4 times the side length. Here, 4 x 5 cm equals 20 cm.

The sum of angles in a triangle is 180°. Subtracting 45° and 55° from 180° leaves 80° for the third angle.

Adding 4.7 and 3.3 gives an exact sum of 8.0. Quick estimation helps in verifying arithmetic operations.

Since the ratio 3:4 implies that each unit represents 4 cats (given 12 cats for 3 parts), the corresponding dogs are 4 parts, which equals 16. This reinforces proportional reasoning skills.

Expanding the expression gives 3y - 6 = 2y + 4. Subtracting 2y from both sides and then adding 6 results in y = 10.

Setting up the equation as 2x - 7 = 21, adding 7 to both sides gives 2x = 28. Dividing by 2 shows that x = 14.

Testing pairs of consecutive integers shows that 8 and 9 multiply to 72. This problem requires recognition of factors and the concept of consecutive numbers.

The sum of the ratios is 14, so each part equals 360/14. Multiplying the largest part (5) by 360/14 yields approximately 128.6°, which is the largest angle.

The increase in membership is 12 students, and calculating (12/15) x 100 gives an 80% increase. This problem tests the ability to compute percentage changes accurately.