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Preptics

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 xx that makes the two sides equal.

  1. 1.Type the whole equation: both sides, the equals sign and every bracket.
  2. 2.The calculator draws a vertical line at each value of xx that makes the two sides equal.
  3. 3.Tap the line and read its xx-value.
  4. 4.Read the question again. It may want xx, or something built from it, such as x−4x - 4.

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.

7−3(x−4)=2x−67 - 3(x - 4) = 2x - 6

What value of xx is the solution to the given equation?

  1. Choice A: 15\frac{1}{5}
  2. Choice B: 95\frac{9}{5}
  3. Choice C: 55
  4. Choice D: 2525
  1. 1

    Type the equation exactly as it is printed, brackets included. Do not expand anything first.

    Type: 7 - 3(x - 4) = 2x - 6

  2. 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: 7−3(x−4)=7−3x+12=19−3x7 - 3(x - 4) = 7 - 3x + 12 = 19 - 3x. Setting that equal to 2x−62x - 6 gives 25=5x25 = 5x, so x=5x = 5.

In the calculator: type the equation as printed. It draws a vertical line at x=5x = 5, 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: 15\frac{1}{5}

    This comes from 7−3x−127 - 3x - 12. The −3-3 multiplies −4-4 as well, and a negative times a negative is positive.

  • Choice B: 95\frac{9}{5}

    This comes from 7−3x−47 - 3x - 4: the 3 reached the xx and not the 4. Everything inside the brackets is multiplied.

  • Choice C: 55the answer

    Expanding gives 7−3x+12=2x−67 - 3x + 12 = 2x - 6, so 19−3x=2x−619 - 3x = 2x - 6 and 25=5x25 = 5x.

  • Choice D: 2525

    25 is what 5x5x equals, one step before the end. The question asks for xx.

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 3x=183x = 18. 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 kk, 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.

Question 1 of 5

4(2x−1)=3x+314(2x - 1) = 3x + 31

What value of xx 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 account

How 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

Every move: the full set. The calculator on its own: the graphing calculator.

SAT® is a trademark registered by the College Board, which is not affiliated with, and does not endorse, this site. All practice questions and reading passages are original works created by Preptics and are not actual SAT® questions.