Question 616·Easy·Algebra

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If $8y + 4 = 44$ , what is the value of $y + 2$ ?

A linear equation has an unknown only to the first power. On the SAT’s Desmos, a regression can find that unknown without rearranging the equation. Then check whether the question asks for the unknown itself or an expression made from it. Stopping as soon as Desmos finds the unknown can leave the question unfinished.

Hints

Hint 1
A regression asks Desmos to find an unknown value. Use $x_1$ as a stand-in for $y$ , and change $=$ to $\sim$ . Where does Desmos show the value it finds?
Hint 2
Solving the equation gives you $y$ , but the requested expression is $y+2$ . Once Desmos finds $y$ , what could you type on the next line to add $2$ ?

Step-by-step

Solve and finish in Desmos
Step 1
Find the unknown value
Desmos treats $y$ as a graph variable, so use $x_1$ as a stand-in for $y$ and change $=$ to $\sim$ . Type $8x_1+4\sim44$ . This regression finds the value that makes the equation true. Desmos shows $x_1=5$ under PARAMETERS, so $y=5$ .
Step 2
Evaluate what the question asks for
The requested expression is $y+2$ , not $y$ . Keep the first line and type $x_1+2$ ; Desmos prints $7$ . Since $x_1$ stands for $y$ , finish by evaluating the expression the question asks for: $y+2=7$ . Choice C.

Question 616·Easy·Algebra

Strategy

Hints

Step-by-step

Lessons that teach this

Study Hints

Strategy

Hints

Step-by-step

Lessons that teach this