Linear Equations/Inequalities Pre-Test

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 + b = c, where a, b, and c are constants.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true. This often involves finding a range of values.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a dashed or solid line, then shade the region that satisfies the inequality.

Front

What does 'x ≥ -10' mean?

Back

It means that x can be any number greater than or equal to -10.

Front

What is the difference between '≤' and '<'?

Back

'≤' means less than or equal to, while '<' means strictly less than.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the first step in solving the equation 4 = 2(x + 3)?

Back

The first step is to distribute the 2 on the right side, giving you 4 = 2x + 6.

Front

What does the expression '2/3(5x + 6) = 34' represent?

Back

It represents a linear equation where you need to find the value of x that makes the equation true.

Front

What is the solution to the inequality -3 < x + 6 ≤ 5?

Back

The solution is -9 < x and x ≤ -1.