Solving Linear Equations and Inequalities

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form ax + b = 0, where a and b are constants.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to solve an inequality?

Back

Solving an inequality involves finding the values of the variable that make the inequality true, often resulting in a range of values.

Front

What is the solution to the equation (b+8)/4 = 10?

Back

b = 32

Front

How do you check if a solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the distributive property?

Back

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

Front

What is the solution to the equation 3p - 1 = 5(p-1) - 2(7-p)?

Back

p = 3

Front

What does a number line graph represent in inequalities?

Back

A number line graph visually represents the set of solutions to an inequality, showing which values satisfy the condition.

Front

What is the solution to the inequality represented by the graph x < -4?

Back

The solution includes all numbers less than -4.

Front

What is the solution to the equation a - w = a + fx?

Back

x = -w/f