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Linear equations and slope — SHSAT practice questions

Practice 218 Linear equations and slope questions in the app

What this topic is

Linear equations and slope on the SHSAT Mathematics test covers one-variable equations, the slope of a line, and how slopes of parallel and perpendicular lines relate.

A student has to distribute and isolate a variable, decide which listed line is perpendicular to a given line, and write a linear model from a story that combines a fixed fee with a per-student charge so a target cost per person can be met.

Questions are multiple choice, with numbers or line equations as options. Traps include dropping the negative on a perpendicular slope, mixing parallel with perpendicular, and dividing only the variable cost instead of the full total.

Sample questions

Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.

Question 1Easier

What is the value of xx in the equation 5(x−3)=205(x-3)=20?

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Answer: C — 7

Divide both sides by 5 to get x−3=4x-3=4. Adding 3 to both sides gives x=7x=7.

Question 2Mid

A club pays a fixed 240 dollar rental fee plus 12 dollars per student for a trip. If the total cost is divided equally among all students, how many students must go for the cost per student to be 18 dollars?

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Answer: C — 40

For ss students, the total cost is 240+12s240+12s. Since each student pays 18, 240+12ss=18\dfrac{240+12s}{s}=18, so 240+12s=18s240+12s=18s and s=40s=40.

Question 3Mid

Which line is perpendicular to y=23x+1y=\tfrac{2}{3}x+1?

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Answer: A — y=−32x+4y=-\tfrac{3}{2}x+4

Perpendicular slopes are negative reciprocals, so the slope must be −32-\tfrac{3}{2}.

Every question is picked for where you are right now, wrong answers come back until they stick, and it all works offline.

Practice 218 Linear equations and slope questions in the app

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