Algebra 1 Semester 1 Sample 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

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through the points (1, 3) and (-1, 7)?

Back

The slope is -2.

Front

What is the slope of the line represented by the fraction 3/2?

Back

The slope of the line is 3/2, indicating that for every 2 units moved horizontally, the line moves up 3 units.

Front

What does it mean for a slope to be negative?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, |5| = 5 and |-5| = 5.

Front

How do you solve the equation |2x + 9| = 15?

Back

You solve it by considering two cases: 2x + 9 = 15 and 2x + 9 = -15. This gives x = 3 and x = -12.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

What does it mean for a slope to be zero?

Back

A slope of zero means that the line is horizontal, indicating that there is no change in y as x changes.