Study on the flyISEE UpperMathematics AchievementLinear equations and graphs

Mathematics Achievement

Linear equations and graphs — ISEE Upper practice questions

  • 47 questions on the paper
  • 97 practice questions in the app
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What this topic is

Linear equations and graphs on the ISEE Upper Mathematics Achievement section covers slope, intercepts, and matching a line to points or to the coordinate axes.

A student must rearrange an equation into a useful form, find slope from two points or from an equation, identify which line contains given points, and use intercepts to find a quantity such as the area of the triangle formed with the axes.

Questions are multiple choice and often leave the equation in a messy form so that mixing up slope and intercepts or skipping the algebra leads to a nearby wrong option; choices are usually a number or the equation of a line.

Sample questions

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

Question 1Mid

The line 3x+2y=183x+2y=18 crosses the xx-axis and the yy-axis, forming a right triangle with the coordinate axes. What is the area of that triangle?

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Answer: C — 27

The xx-intercept is 6 because 3x=183x=18. The yy-intercept is 9 because 2y=182y=18. The triangle’s legs along the axes have lengths 6 and 9, so the area is 1269=27\dfrac{1}{2}\cdot6\cdot9=27.

Question 2Easier

Which line contains the two points (2,1)(-2,-1) and (4,11)(4,11)?

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Answer: A — y=2x+3y = 2x + 3

The slope is (11(1))/(4(2))=2(11-(-1))/(4-(-2))=2. Substituting (2,1)(-2,-1) gives the intercept 3, so the line is y=2x+3y=2x+3.

Question 3Mid

What is the slope of the line 3x1=y2+43x - 1 = \dfrac{y}{2} + 4?

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Answer: C — 6

Subtract 4: 3x5=y23x - 5 = \dfrac{y}{2}. Multiply by 2: y=6x10y = 6x - 10. The slope is 6.

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

Practice 97 Linear equations and graphs questions in the app

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