Solving 1 Step Equations and Inequalities

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

How do you solve the inequality -2x > -8?

Back

Divide both sides by -2, remembering to flip the inequality sign: x < 4.

Front

What is the range of the function y = 3x - 1 for the domain -3, -2, -1, 0?

Back

The range is -10, -7, -4, -1.

Front

What does it mean if a relation is not a function?

Back

It means that at least one input has more than one output.

Front

How do you solve the equation 16t = 60 - 4t?

Back

Add 4t to both sides to get 20t = 60, then divide by 20 to find t = 3.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater or less than another.

Front

What is the solution set of the inequality x + 5 < 10?

Back

The solution set is x < 5.

Front

How do you check if a relation is a function using a graph?

Back

Use the vertical line test: if a vertical line crosses the graph more than once, it is not a function.

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

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to get the variable alone on one side of the equation.