Solving Two- Step Equations Worksheet Answers

Are you a math teacher or student looking for a comprehensive set of answers for solving two-step equations worksheets? Look no further! This blog post will provide you with the necessary solutions and explanations to help you master this essential mathematical concept.

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What is a two-step equation?

A two-step equation is an algebraic equation that requires two separate operations to be performed to solve for the unknown variable. Typically, these equations involve adding or subtracting a number to both sides of the equation, followed by multiplying or dividing by another number to isolate the variable. The goal is to simplify the equation step by step until the variable is isolated and its value is determined.

How do you solve a two-step equation?

To solve a two-step equation, first isolate the variable by using inverse operations to undo addition or subtraction in the equation. Then, undo multiplication or division by applying the opposite operation. Remember that whatever operation you perform on one side of the equation, you must do the same to the other side to keep the equation balanced. Ultimately, the goal is to determine the value of the variable that satisfies the equation.

What is the first step in solving a two-step equation?

The first step in solving a two-step equation is to perform the inverse operation of the constant term that is adding or subtracting to isolate the variable term.

What do you do after isolating the variable in the first step?

After isolating the variable in the first step of solving an equation or problem, you would typically proceed to simplify the equation further by performing any necessary operations, such as addition, subtraction, multiplication, or division on both sides of the equation. The goal is to continue manipulating the equation until you obtain a solution that satisfies the original equation.

What is the purpose of the second step in solving a two-step equation?

The purpose of the second step in solving a two-step equation is to isolate the variable by undoing the operations that are being applied to it. This step allows you to find the numerical value of the variable and determine the solution to the equation.

How do you eliminate the variable in the second step?

To eliminate a variable in the second step, you can use the equations of the system to substitue or eliminate one of the variables. By carefully choosing which equation to work with, you can perform the appropriate operations, such as addition, subtraction, multiplication, or division, to eliminate the variable in the second step and solve for the remaining variables. This process helps simplify the system and find the solution efficiently.

What are the steps to solve the equation 3x + 5 = 17?

To solve the equation 3x + 5 = 17, the first step is to isolate the variable on one side of the equation. Start by subtracting 5 from both sides to get 3x = 12. Next, divide both sides by 3 to solve for x, yielding x = 4. Therefore, the solution to the equation is x = 4.

Provide the solution to the equation 2(4x + 3) = 22.

To solve the equation 2(4x + 3) = 22, you first need to distribute the 2 on the left side, which gives 8x + 6 = 22. Then subtract 6 from both sides to get 8x = 16. Next, divide both sides by 8 to isolate x, resulting in x = 2. Therefore, the solution to the equation is x = 2.

Solve the equation 4(3x - 2) + 5 = 37.

To solve the equation 4(3x - 2) + 5 = 37, first distribute 4 across 3x and -2 inside the parentheses to get 12x - 8. Then the equation becomes 12x - 8 + 5 = 37. Combining like terms gives 12x - 3 = 37. To isolate x, add 3 to both sides to get 12x = 40. Finally, divide by 12 on both sides to find x = 40/12, which simplifies to x = 10/3 or x = 3.33.

How would you solve the equation 7(2x + 1) - 3 = 45?

To solve the equation 7(2x + 1) - 3 = 45, you would first distribute the 7 to 2x and 1 inside the parentheses: 14x + 7 - 3 = 45. Next, combine like terms: 14x + 4 = 45. Then, isolate the variable by subtracting 4 from both sides: 14x = 41. Finally, divide by 14 to solve for x: x = 41/14.