Algebra IB Semester Final

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The acronym PEMDAS is often used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

Define point-slope form of a linear equation.

Back

Point-slope form is an equation of a line given by the formula: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you find the slope between two points (x_1, y_1) and (x_2, y_2)?

Back

The slope (m) is calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1).

Front

Back

The correct result is 4, as addition and subtraction are performed from left to right.

Front

Back

The error is that addition was done first instead of performing the subtraction first.

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Back

Front

What is the slope of the line passing through the points (1, 8) and (3, 12)?

Back

The slope is 2, calculated as m = (12 - 8) / (3 - 1) = 4 / 2 = 2.

Front

What is the point-slope form of the line that passes through (-2, -1) with a slope of -3?

Back

The point-slope form is: y + 1 = -3(x + 2).

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting any variables with their given values.

Front

Back

The result is 8, as the operations are performed in order.