Explanation

3x means three times of x.

2y means two times of y.

The expression 3x + 2y represents the sum of three times of x and two times of y.

Explanation

"Sum of x and five" means (x + 5).

"Six times" means multiplying by 6.

So, the correct expression is 6(x + 5).

Explanation

To solve for x, add 7 to both sides of the equation:

2x - 7 + 7 = -8 + 7

2x = -1

Divide both sides by 2:

x = -1/2

Explanation

Factors of 14: 1, 2, 7, 14

Factors of 35: 1, 5, 7, 35

Factors of 98: 1, 2, 7, 14, 49, 98

The highest common factor (HCF) is 7.

Explanation

In division, the quotient is the result of dividing one number by another.

Here, 30 ÷ 5 = 6, so the quotient is 6.

Explanation

A rational number is any number that can be expressed as p/q, where p and q are integers, and q ≠ 0.

Decimals that terminate or repeat (e.g., 0.75 = 3/4 or 0.333... = 1/3) are rational numbers.

Explanation

To simplify the expression, follow the order of operations:

2(7x - 3) + 5(-2x + 6)

Distribute the coefficients:

14x - 6 - 10x + 30

Combine like terms:

4x + 24

Explanation

To convert 0.2 to a percentage, multiply by 100 → 0.2 × 100 = 20%.

The percentage symbol (%) represents a fraction of 100.

Explanation

Polynomials are algebraic expressions consisting of variables and coefficients with whole number exponents.

Examples include x² + 3x + 2 and 5y³ - 2y + 7.

Explanation