SAT Linear Equations in One Variable Questions
Solving for one unknown, including equations with no or infinite solutions.
In short
- Linear Equations in One Variable is part of Algebra, about 35% of the scored Math questions: 13 to 15 on every test.
- Math questions from all four areas are mixed in each module and arranged from easiest to hardest.
- Substitution + distributive is the trap Rivie's practice tests set most often in Linear Equations in One Variable questions.
Common traps
Most common first, from Rivie's ten practice tests.
Substitution + distributive
Plug-and-distribute problems where the wrong choice forgets to distribute a factor across all terms in a substituted expression.
The usual mistake: You substitute correctly but distribute only to the first term, e.g. 2(x + 3) = 2x + 3 instead of 2x + 6.
One step remaining
You did most of the algebra correctly but stopped one operation short, found x when the question asked for 2x, or got the radius when the question asked for diameter.
The usual mistake: You hit a 'clean' number and assume that's the answer. The trap distractor is always the value at this premature stopping point.
Literal for symbolic (math)
Word-problem translation: the wrong choice maps an English phrase to symbols too literally (e.g. '5 less than x' as 5 − x instead of x − 5).
The usual mistake: You translate left-to-right matching word order, missing that 'less than' reverses the operands.
Try a question
From Rivie's practice tests. Pick an answer to see why it is right or wrong.
If (2x − 4)/3 = 6, what is the value of x?
Video lessons
Free on YouTube, picked for this topic.