Algebra 1 1st semester review

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you determine if a system of equations has no solution?

Back

A system of equations has no solution if the lines represented by the equations are parallel, meaning they have the same slope but different y-intercepts.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means that if one line has a slope of m, the other line must have a slope of -1/m.

Front

How do you solve a proportion?

Back

To solve a proportion, you can cross-multiply the two ratios and set the products equal to each other.

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

Evaluate the expression 7y - x when x = -5 and y = 3.

Back

When x = -5 and y = 3, 7y - x = 7(3) - (-5) = 21 + 5 = 26.

Front

What is the slope of the line represented by the equation y = 1/2x + 4?

Back

The slope of the line y = 1/2x + 4 is 1/2.

Front

What is the y-intercept of the line y = -3x + 6?

Back

The y-intercept of the line y = -3x + 6 is 6, which is the value of y when x = 0.

Front

How do you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in slope-intercept form, start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running.

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 Ax + By = C.