Multi - Step Practice

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 if an equation has one solution?

Back

An equation has one solution when there is exactly one value for the variable that makes the equation true.

Front

How do you determine if an equation has no solution?

Back

An equation has no solution if the variable cancels out and results in a false statement, such as 0 = 5.

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 solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations such as addition, subtraction, multiplication, or division.

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 equal to the other.

Front

How do you graph an inequality on a number line?

Back

To graph an inequality, use an open circle for < or > and a closed circle for ≤ or ≥. Shade the region that satisfies the inequality.

Front

What is the purpose of setting up an inequality in a word problem?

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Setting up an inequality helps to express the constraints or limits of a situation, allowing you to find possible solutions that meet those conditions.

Front

What does it mean for a system of equations to have infinite solutions?

Back

A system of equations has infinite solutions when the equations represent the same line, meaning every point on the line is a solution.

Front

How do you combine like terms in an equation?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.