M1. Pre Mod 4 Solving Multi-Step Equations & Inequalities

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

What does it mean to solve an inequality?

Back

Solving an inequality involves finding the values of a variable that make the inequality true. The solution is often expressed in interval notation or as a range of values.

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

How do you isolate a variable in an equation?

Back

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

Front

What is the solution to the equation 3x - x + 2 = 4(2x - 1)?

Back

x = 1

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that can satisfy the equation, often resulting in a contradiction.

Front

What is the solution to the inequality 9 ≥ -2m + 2 - 3?

Back

m ≥ -5

Front

What is the solution to the equation 2x - 1 = ¾x + 9?

Back

x = 8

Front

What is the solution to the equation 5(2x + 6) = -4(-5 - 2x) + 3x?

Back

x = 10

Front

What does it mean if the solution to an inequality is 'All Real Numbers'?

Back

It means that any value for the variable will satisfy the inequality, indicating that the inequality is always true.