Retake Solving equations and inequalities

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that shows the equality of two expressions, typically involving variables and constants, such as x + 3 = 7.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other, such as x < 5.

Front

How do you represent an inequality on a number line?

Back

An inequality is represented on a number line by shading the region that satisfies the inequality and using an open or closed dot to indicate whether the endpoint is included.

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

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 y-intercept of an equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What does the term 'solution set' mean?

Back

The solution set is the set of all values that satisfy a given equation or inequality.

Front

What is a variable in algebra?

Back

A variable is a symbol, usually a letter, that represents an unknown value in mathematical expressions and equations.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate an equation so that the variable is on one side of the equation by itself.