Solving Multi-step equations.

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving combining like terms, using the distributive property, and isolating the variable.

Front

What is the first step in solving the equation 2x - 3 + 4x = 27?

Back

Combine like terms to simplify the equation to 6x - 3 = 27.

Front

How do you isolate the variable in the equation 6x - 3 = 27?

Back

Add 3 to both sides to get 6x = 30, then divide by 6 to find x = 5.

Front

What does it mean if an equation has infinite solutions?

Back

It means that any value for the variable will satisfy the equation, often occurring when both sides of the equation are equivalent.

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, used to eliminate parentheses in equations.

Front

How do you solve the equation 12(x + 3) = 4(2x + 9) + 4x?

Back

Distribute to get 12x + 36 = 8x + 36 + 4x, which simplifies to 12x + 36 = 12x + 36, indicating infinite solutions.

Front

What is the first step to solve the equation 10(h + 1) - 4 = 76?

Back

Add 4 to both sides to simplify to 10(h + 1) = 80.

Front

How do you solve for h in the equation 10(h + 1) = 80?

Back

Divide both sides by 10 to get h + 1 = 8, then subtract 1 to find h = 7.

Front

What does 'combining like terms' mean?

Back

It means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

How do you solve the equation 3y + 6 + 4y - 7 = -8?

Back

Combine like terms to get 7y - 1 = -8, then add 1 to both sides to find 7y = -7, and divide by 7 to get y = -1.