Solve equations

Front

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

Back

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

Front

How do you isolate the variable x 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 to solve an equation?

Back

To find the value of the variable that makes the equation true.

Front

What is the solution to the equation 3(x - 2) = 18?

Back

x = 8.

Front

What is the distributive property in the context of solving equations?

Back

It states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you solve the equation 7(1 - y) = -3(y - 2)?

Back

Distribute to get 7 - 7y = -3y + 6, then combine like terms to find y = 1/4.

Front

What is the purpose of checking your solution after solving an equation?

Back

To verify that the solution satisfies the original equation.

Front

What is the solution to the equation 3 + (1/4)a = 31?

Back

a = 112.

Front

What does it mean to combine like terms in an equation?

Back

To add or subtract terms that have the same variable raised to the same power.

Front

What is the next step after isolating the variable on one side of the equation?

Back

Perform the necessary arithmetic operations to solve for the variable.