Equations and Inequalities Review

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is the solution to the equation 5(2x + 3)?

Back

The solution is 10x + 15, obtained by applying the distributive property.

Front

How do you write the equation of a line given its slope and y-intercept?

Back

The equation of a line can be written in the form 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 representing the solutions of the inequality on a number line or coordinate plane, indicating where the inequality holds true.

Front

What is the difference between a closed circle and an open circle on a number line?

Back

A closed circle indicates that the number is included in the solution (≤ or ≥), while an open circle indicates that the number is not included ( < or >).

Front

How do you solve for x in the equation ax + c = R?

Back

To solve for x, rearrange the equation to x = (R - c) / a.

Front

What is the first step to isolate x in the equation y = mx + b?

Back

The first step is to subtract b from both sides, resulting in y - b = mx.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

How do you graph the inequality y < -3 on a number line?

Back

Draw an open circle at -3 and shade to the left to indicate all values less than -3.

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.