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SAT Linear Equations in One Variable Question 121 | Free SAT Prep | Aniko

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Question 121·Easy·Linear Equations in One Variable

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If $7m + 1 = 29$ , what is the value of $m - 2$ ?

Your answer

(Express the answer as an integer)

For linear equation questions that then ask for an expression like $m - 2$ , first focus on solving the equation step by step: isolate the variable by undoing addition/subtraction, then multiplication/division. Once you have the variable’s value, carefully plug it into the requested expression—don’t stop at the value of the variable itself, and watch for small arithmetic errors in the final substitution.

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Undo the addition

In the equation $7m + 1 = 29$ , what operation will undo the $+1$ so you can get $7m$ by itself?

Undo the multiplication

Once you have $7m$ on one side and a number on the other, what operation will undo multiplying $m$ by $7$ ?

Use the value of $m$

After you find the value of $m$ , substitute it into the expression $m - 2$ and simplify.

Desmos Guide

Evaluate the expression directly

In a Desmos expression line, type (29 - 1)/7 - 2 and press Enter. The number that Desmos displays is the value of $m - 2$ for the equation $7m + 1 = 29$ .

Step-by-step Explanation

Isolate the term with $m$

Start with the equation:

7m + 1 = 29

Subtract $1$ from both sides to move the constant term:

\begin{aligned} 7m + 1 - 1 &= 29 - 1 \\ 7m &= 28 \end{aligned}

Solve for $m$

Now divide both sides of $7m = 28$ by $7$ to get $m$ :

\begin{aligned} \frac{7m}{7} &= \frac{28}{7} \\ m &= 4 \end{aligned}

Compute $m - 2$

Use the value $m = 4$ in the expression $m - 2$ :

m - 2 = 4 - 2 = 2

So, the value of $m - 2$ is $2$ .

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Step-by-step Explanation

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Step-by-step Explanation