Review for Literal Equations & Compound Inequalities Flashcard

Front

What is a literal equation?

Back

A literal equation is an equation that contains two or more variables. It is often solved for one variable in terms of the others.

Front

How do you solve a compound inequality?

Back

To solve a compound inequality, solve each inequality separately and then combine the solutions, ensuring to consider the 'and' or 'or' conditions.

Front

What does the solution set x < 5 represent?

Back

It represents all real numbers less than 5.

Front

How do you isolate a variable in a literal equation?

Back

To isolate a variable, use inverse operations to move other terms to the opposite side of the equation.

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

How do you find the slope from an equation in standard form?

Back

Convert the equation to slope-intercept form (y = mx + b) to identify the slope (m).

Front

What is the solution to the equation 10x + 9 = 4x - 9?

Back

The solution is x = -3.

Front

What does the inequality -7(q + 8) ≥ -35 mean?

Back

It means that the expression -7 times (q + 8) is greater than or equal to -35.

Front

How do you graph a compound inequality?

Back

Graph each inequality on the same number line, using open or closed circles based on whether the endpoints are included.

Front

What is the first step in solving the equation 4x - 9x + 3 = -32?

Back

Combine like terms on the left side of the equation.