Algebra 2 Study Guide for Final Part 1 of 2

Front

What is a compound inequality?

Back

A compound inequality consists of two or more inequalities that are combined using the words 'and' or 'or'. For example, x > 1 and x < 5.

Front

How do you solve a compound inequality?

Back

To solve a compound inequality, solve each inequality separately and then combine the results. Use 'and' for intersection and 'or' for union.

Front

What does the solution x ≥ -5 and x < 4 represent?

Back

This solution represents all values of x that are greater than or equal to -5 and less than 4.

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, |3| = 3 and |-3| = 3.

Front

How many solutions does the equation |c - 7| = 2 have?

Back

The equation |c - 7| = 2 has two solutions: c = 9 and c = 5.

Front

What is the first step in solving the equation 3b = 6v - 3b?

Back

The first step is to combine like terms, which gives you 6b = 6v.

Front

What is the solution to the equation 3b = 6v - 3b?

Back

The solution is b = 0.

Front

What does the equation -166 = 7x + 3(6x + 3) represent?

Back

This equation is a linear equation that can be solved for x.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to get the variable on one side of the equation and the constants on the other.

Front

What is the solution to the equation -166 = 7x + 3(6x + 3)?

Back

The solution is x = -7.