Algebra S1 Final Review #4

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities using 'and' or 'or'. It shows the range of values that satisfy both conditions.

Front

How do you represent a compound inequality for a range of values?

Back

Use the format 'a ≤ x ≤ b' to represent that x is between a and b, inclusive.

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.

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 than or less than another.

Front

How do you graph a linear equation?

Back

1. Find two points that satisfy the equation. 2. Plot the points on a graph. 3. Draw a line through the points.

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 of a line given two points?

Back

Use the formula: slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the purpose of solving for x in an inequality?

Back

Solving for x helps to determine the range of values that satisfy the inequality.