Solving Multistep Equations

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

What is the first step in solving the equation 4 = 2(x + 3)?

Back

The first step is to distribute the 2 to both terms inside the parentheses, resulting in 4 = 2x + 6.

Front

How do you isolate the variable in the equation 5x - 4 + 2x = 3?

Back

Combine like terms (5x + 2x = 7x) to get 7x - 4 = 3, then add 4 to both sides to isolate the variable.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

Combine like terms (2x + 4x = 6x) to get 6x - 3 = 27, then add 3 to both sides and divide by 6 to find x = 5.

Front

What does it mean to 'distribute' in algebra?

Back

To distribute means to multiply a term by each term inside parentheses, applying the distributive property.

Front

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

Back

The solution is x = -1 after isolating x.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve for the variable.

Front

What is the final step in solving the equation 7x = 3 + 4?

Back

The final step is to simplify the right side (7x = 7) and then divide both sides by 7 to find x = 1.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.