Solving for Y, Standard Form, and Inequalities

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

Convert the equation y = 2/3x - 2 to standard form.

Back

2x - 3y = 6

Front

What does it mean to 'solve for y'?

Back

To 'solve for y' means to isolate y on one side of the equation, expressing it in terms of x or as a constant.

Front

Convert the equation 2x - 2 = 6y to standard form.

Back

2x - 6y = 2

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

Solve the inequality -2(x + 2) < 14.

Back

x > -9

Front

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

Back

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

Front

Convert the equation 8x + 4y = 16 to slope-intercept form.

Back

y = -2x + 4

Front

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

Back

The y-intercept is 3, which is the point where the line crosses the y-axis.

Front

What does it mean for a line to be in standard form?

Back

A line is in standard form when it is expressed as Ax + By = C, with A, B, and C as integers.