Solve Multi-Step Linear Equations Worksheet

6 problems

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Solving multi-step linear equations involves carrying out a series of math operations to find the value of the variable in a linear equation. To find the value of the variable, mathematical operations such as addition, subtraction, distribution, etc are required. Through these steps, the aim is to solve the linear equations by isolating the variable on one side of the equation. In these worksheets, students will perform various operations to solve the linear equation.

Example:

Find the value of `x`.

`2(x − 10) = 6`

Algebra 1

One-Variable Equations

How Will This Worksheet on "Solve Multi-Step Linear Equations" Benefit Your Students' Learning?

Solving multi-step linear equations enhances problem-solving skills.
Helps to develop a deeper understanding of concepts such as inverse operations, distribution, and order of operations.
Helps in becoming proficient in the basic mathematical principles such as arithmetic op...

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Solved Example

Q. Solve for

t

\newline

2(t - 12) = 6

Solution:

Distribute $2$ : Distribute the $2$ across the parentheses. $\newline$ We need to apply the distributive property to remove the parentheses. This means we multiply $2$ by each term inside the parentheses. $\newline$ $2(t − 12) = 2\cdot t − 2\cdot 12$ $\newline$ $2t − 24 = 6$
Add $24$ : Add $24$ to both sides of the equation to isolate the term with the variable $t$ . We want to get $t$ by itself on one side of the equation, so we need to undo the subtraction of $24$ . $2t - 24 + 24 = 6 + 24$ $2t = 30$
Divide by $2$ : Divide both sides of the equation by $2$ to solve for $t$ . Now we divide both sides by $2$ to find the value of $t$ . $\frac{2t}{2} = \frac{30}{2}$ $t = 15$