Algebra 1 Semester 1 Review

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. For example, in the expression 3x + 5, the number 5 is a constant.

Front

How do you find the x-intercept of an equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

How do you find the y-intercept of an equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the slope of a line?

Back

The slope of a line measures its steepness and is calculated as the change in y divided by the change in x (rise/run).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you solve for x in a linear equation?

Back

To solve for x, isolate x on one side of the equation using inverse operations.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

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

Back

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

Front

How do you simplify the expression 2(4x + 10)?

Back

Distribute the 2: 2(4x) + 2(10) = 8x + 20.