Multi-step Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

How do you determine if an equation has no solution?

Back

An equation has no solution if it simplifies to a false statement, such as 0 = 5.

Front

Solve the equation: 2x + 1 = 5x - 3. What is x?

Back

x = 4/3.

Front

What is the first step in solving the equation: 3(x - 1) = 2x + 9?

Back

Distribute 3 to both terms in the parentheses.

Front

What does it mean to simplify an expression?

Back

To combine like terms and perform operations to reduce the expression to its simplest form.

Front

Solve the equation: 8v - 4(v + 8) = 8. What is v?

Back

v = 10.

Front

What is the solution to the equation: 15x - 30 = 0?

Back

x = 2.

Front

What is the first step in solving the equation: 5x + 7 = 12?

Back

Subtract 7 from both sides.

Front

Simplify the expression: -8 + (15 - 3) ÷ 4. What is the result?

Back

-5.

Front

What is the distributive property?

Back

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