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If 'k' is an odd number (e.g., 3, 5, 7), the next consecutive number is always even. So, the next even number after 'k' is k + 1.
The additive identity property states that adding zero to any number (or variable) leaves the number unchanged. So, a + 0 = a.
If one box has 'c' chocolates, then 3 such boxes will have 3 times 'c' chocolates, which is 3c.
2z means twice the number z. - 9 means 9 less than that amount. So, it's 9 less than twice the number z.
A constant term is a numerical value in an expression that remains fixed and does not change, unlike variables.
If 'p' is an even number (e.g., 2, 4, 6), the next consecutive number is always odd. So, the next odd number after 'p' is p + 1.
If 1/3 of the students are boys, you divide the total number of students 'S' by 3 to find the number of boys: S / 3.
The associative property of addition states that the way numbers are grouped in an addition problem does not affect the sum. So, (a + b) + c = a + (b + c).
To solve for a, divide both sides of the equation by 2: a = 18 / 2 = 9.
To solve for p, add 12 to both sides of the equation: p = 8 + 12 = 20.
If the factory produces 'f' toys per day, then in 7 days it will produce 7 times 'f' toys, which is 7f.
The area of a square is calculated by multiplying its side length by itself. So, for a side 's', the area is s * s.
If the train travels 'k' kilometers in one hour, then in half an hour, it will travel half the distance: k / 2.
If 'x' is an even number, then x - 1 will always result in an odd number (e.g., if x=4, 4-1=3).
Half of the number 'a' is a / 2. When it is increased by 10, we add 10 to it, giving a / 2 + 10.
Substitute s = 7 into the expression 6s. So, the perimeter is 6 * 7 = 42 cm.
If the number of boys is 'b' and the number of girls is twice the number of boys, then the number of girls is 2 * b = 2b.
If the puppy's weight is 'w' kg and its mother is 5 times heavier, the mother's weight is 5 * w = 5w kg.
To solve for x, subtract 7 from both sides of the equation: x = 18 - 7 = 11.
To undo the operation of adding 8, you perform the inverse operation, which is subtracting 8 from both sides of the equation.
Mona's age is m. Brother's age is m + 4. Combined age is m + (m + 4). Father's age is twice the combined age, so 2(m + m + 4).
Three times a number 'p' is 3p. When it is decreased by 7, we subtract 7 from it, giving 3p - 7.
The product means multiplication. So, "the product of 5 and a number 'q'" is 5 * q, which is written as 5q.
If the temperature 'T' rises by 7 degrees, it means we add 7 to the current temperature, so the new temperature is T + 7.
Distance is calculated by speed multiplied by time. Given speed 'v' and time '6 hours', the distance traveled is 6v km.
An equilateral triangle has three equal sides. Its perimeter is the sum of the lengths of these three sides, so P = s + s + s = 3s.
The coefficient is the numerical factor multiplied by the variable. In 7m, the number 7 is multiplied by 'm'.
If the farmer has x cows and buys 8 more, the total number of cows he has now is x + 8.
A number 'k' multiplied by 6 is 6k. Then 2 is added to the product, making it 6k + 2. The result is 32, so 6k + 2 = 32.
Subtraction is not commutative, meaning changing the order of operands changes the result. x - y is generally not equal to y - x (e.g., 5-3=2 but 3-5=-2).
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