Math 1 Unit 4 Review - Equations & Inequalities

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

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) until the variable is by itself.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves representing the solutions of the inequality on a number line or coordinate plane, showing where the inequality holds true.

Front

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

Back

The symbol '<' means 'less than' and does not include the endpoint, while '≤' means 'less than or equal to' and includes the endpoint.

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 interpret the solution of an inequality?

Back

The solution of an inequality represents a range of values that satisfy the inequality, often shown as a number line or interval.

Front

What is the first step in solving the equation 30 + 6t = 11t?

Back

The first step is to isolate the variable t by moving all terms involving t to one side of the equation.

Front

What does 'at least' mean in mathematical terms?

Back

'At least' indicates a minimum value that must be met or exceeded, often represented by a 'greater than or equal to' inequality.

Front

How do you write an equation for a real-world scenario?

Back

Identify the quantities involved, assign variables, and express the relationship between them using an equation.

Front

What is the solution to the equation 7.95 + 0.95x = 26?

Back

x = 19 songs.