Final practice

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run, or the change in y divided by the change in x.

Front

Find the slope of the line represented by the equation y = 4x + 3.

Back

The slope is 4.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

Solve the expression: -2 x (3 + 8 ÷ 4)²

Back

The answer is -50.

Front

What is the order of operations in mathematics?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

Solve the expression: -8 + (15 - 3) ÷ 4

Back

The answer is -5.

Front

If fourteen children made 84 bracelets, how many children would it take to make 192 bracelets?

Back

It would take 32 children.

Front

What is the concept of ratios in mathematics?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.