Solve a linear equation by typing it into the graphing calculator
An equation in one variable can be typed into the graphing calculator exactly as it is printed, and the calculator marks the value of that makes the two sides equal.
- 1.Type the whole equation: both sides, the equals sign and every bracket.
- 2.The calculator draws a vertical line at each value of that makes the two sides equal.
- 3.Tap the line and read its -value.
- 4.Read the question again. It may want , or something built from it, such as .
Try it on a question
Work it below before you open the working. The steps say what to do, and you can do each one yourself.
What value of is the solution to the given equation?
- Choice A:
- Choice B:
- Choice C:
- Choice D:
- 1
Type the equation exactly as it is printed, brackets included. Do not expand anything first.
Type:
7 - 3(x - 4) = 2x - 6 - 2
Find the answer on the graph. Tap a line or a curve to mark its points.
Loading the calculator…
The full working, and why each wrong choice is there
By hand: . Setting that equal to gives , so .
In the calculator: type the equation as printed. It draws a vertical line at , because 5 is the one value that makes both sides equal. The brackets are the calculator's job, which is the step where this question is usually lost.
Choice A:
This comes from . The multiplies as well, and a negative times a negative is positive.
Choice B:
This comes from : the 3 reached the and not the 4. Everything inside the brackets is multiplied.
Choice C: the answer
Expanding gives , so and .
Choice D:
25 is what equals, one step before the end. The question asks for .
Use it when
- The equation has brackets, minus signs or fractions on both sides, which is where a sign is lost by hand.
- A word problem gives two expressions that have to be equal, such as two price plans.
- You have solved it by hand and have ten seconds to check.
Do not use it when
- It is one or two steps, such as . Typing takes longer than dividing.
- The question asks how many solutions the equation has, or which equation models a situation. Those are about the equation, not its solution.
- A second letter stands for a constant, such as , and the question asks for it. The calculator needs a number for every letter but one.
Five questions on this move
Untimed, and nothing is saved. A wrong first answer gets one more try before the working is shown.
What value of satisfies the given equation?
Five is a start
In your account there is a focused set of ten on Linear equations in one variable from the question bank, with the same one more try. And after each practice test, the drills your plan sets for the skills you missed name the moves for them.
Practise Linear equations in one variable in your accountHow this page was checked
Every maths answer, by our own calculator
The answer to each of the 6 questions on this page is worked out again by our calculator engine in an automated test, which fails when a key disagrees with the engine.
In the calculator the test uses
Claude (an AI assistant) typed this page's calculator steps into the College Board version of the Desmos calculator on 14 October 2026 and read the same answers. All six equations on this page were typed in, and each gave the keyed answer. Two need the right-arrow key after a denominator there; those rows are marked.
The whole page, by a person
Not yet. Every question and every step of its walk-through was worked through in a browser by Claude, an AI assistant, on 14 October 2026. The page was published on 14 October 2026 before a person had read it. If something here is wrong, tell us and it is put right.
The questions were drafted with AI and are original: none is a College Board question, and none comes from the question bank behind our practice tests.
Where this comes from
“Type the equation as written” is one card from the Preptics lesson Linear equations: the four wrong moves, which sits under the Digital SAT skill Linear equations in one variable. The lesson has the other cards around it, and its questions come back for review on a schedule. The lessons are part of the Digital SAT track.
Common questions
- Does typing a one-variable equation work in the calculator on the Digital SAT?
- The test's built-in calculator is Desmos, and this calculator is built to behave the same way for this. The check record on this page says whether a person has typed this exact example into the College Board version of Desmos, and on what date. Practise there as well: it is free and needs no account.
- Is graphing an equation faster than solving it by hand?
- For a one- or two-step equation, no. For an equation with brackets on both sides it takes about the same time, and it does not lose a minus sign, which is the usual way these questions go wrong.
- What if the solution is a fraction and the calculator shows a decimal?
- Turn each answer choice into a decimal and compare. The line at 6.25 is the choice that says 25 over 4.
- The question asks for 3x - 1, not x. What then?
- Read x from the line, then work out what the question asked for. Giving x when the question wanted an expression in x is the most common way to lose a question that was solved correctly.
Keep going
Two graphs, one crossing
Solve a system of equations by graphing both lines
Tap the turning point
Find the maximum or minimum of a quadratic by graphing it
Every move: the full set. The calculator on its own: the graphing calculator.
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