If , what is the value of ?

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SAT Linear Equations in One Variable Question 103 | Free SAT Prep | Aniko

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Question 103·Easy·Linear Equations in One Variable

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If $7 - 2k = 1$ , what is the value of $5k + 4$ ?

For linear-equation questions like this, first isolate the variable in the given equation using inverse operations (add/subtract, then multiply/divide), keeping track of signs carefully. Once you have the variable, substitute it into the requested expression and simplify using correct order of operations.

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Use the given equation first

Before trying to evaluate $5k + 4$ , solve the equation $7 - 2k = 1$ to find the value of $k$ .

Isolate k step by step

From $7 - 2k = 1$ , subtract 7 from both sides, then divide by $-2$ to solve for $k$ .

Plug k into the expression

Once you know $k$ , substitute it into $5k + 4$ and simplify.

Desmos Guide

Solve for k using graphs

In Desmos, enter y = 7 - 2x and y = 1. Find the $x$ -coordinate of their intersection; this value is $k$ .

Evaluate the expression using that k

In a new line, type 5 * (value_of_k) + 4, replacing value_of_k with the intersection’s $x$ -value. The output is the value of $5k + 4$ .

Step-by-step Explanation

Solve the equation for k

Start with the given equation:

7 - 2k = 1

Subtract 7 from both sides:

-2k = 1 - 7 = -6

Divide both sides by $-2$ :

k = \frac{-6}{-2} = 3

Substitute k into the expression

Substitute $k = 3$ into $5k + 4$ :

5k + 4 = 5(3) + 4

Compute the final value

Simplify:

5(3) + 4 = 15 + 4 = 19

So, the value of $5k + 4$ is $19$ .

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Desmos Guide

Step-by-step Explanation

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Desmos Guide

Step-by-step Explanation