Study on the flySATMathLinear inequalities in one or two variables
Practice 111 Linear inequalities in one or two variables questions in the app
Linear inequalities in one or two variables on the SAT Math test cover solving inequalities, rewriting them into equivalent forms, and deciding which points satisfy a two-variable constraint.
A student must isolate the variable carefully, especially when multiplying or dividing by a negative, translate an at-most spending limit into an inequality, and test ordered pairs against the boundary. Items often ask which point is not a solution, which inequality models a word problem, or which form is equivalent.
Choices look like near-matching inequalities or coordinate pairs that flip the sign or sit on the wrong side of the line.
Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.
Question 1Easier
To reserve spots on a bicycle tour, a guide must pay a $43.50 fee plus $14.80 per rider. The guide can spend at most $283. If is the number of riders, which inequality represents this situation?
Answer: C —
The reservation cost is 43.50 plus 14.80 for each of riders. Because the guide can spend at most 283, that cost must satisfy . The first choice reverses the inequality. The second and fourth choices swap the fixed fee with the per-rider charge.
Question 2Easier
Which of the following points is a solution to the inequality ?
Answer: C —
A point is a solution if . Testing : , and , so this point works. The other three points give 0, 4, and , none of which is greater than 5.
Question 3Easier
Which inequality is equivalent to the given inequality?
Answer: A —
Adding 5 to both sides gives . Dividing both sides by 3 gives , which is equivalent to .
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Practice 111 Linear inequalities in one or two variables questions in the app
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