Two step Equations and Inequalities

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

What is the first step to solve the equation 3c + 5 = 23?

Back

Subtract 5 from both sides to get 3c = 18.

Front

What is the solution to the equation 3c + 5 = 23?

Back

c = 6.

Front

How do you solve the equation 6n + 4 = -26?

Back

First, subtract 4 from both sides to get 6n = -30, then divide by 6 to find n = -5.

Front

What does the inequality -3x - 4 < 5 represent?

Back

It represents a range of values for x that make the inequality true.

Front

How do you solve the inequality -3x - 4 < 5?

Back

Add 4 to both sides to get -3x < 9, then divide by -3 and reverse the inequality sign to find x > -3.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

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 graph an inequality?

Back

Graphing an inequality involves shading the region of the graph that satisfies the inequality, using a dashed line for < or > and a solid line for ≤ or ≥.