Saturday, May 28, 2022

Linear or Nonlinear Practice Test

In this set of 10 practice questions, you are asked to identify the nonlinear item in which all others in the group are linear. These are shown in several different formats to help you to see the information in a variety of ways. You may wish to review this Khan Academy video explaining how to identify linear equations before attempting to try this practice math test.

This practice test is designed in adaptive mode in which you will see the correct answer after each question. I've also included a hint on the answer slides.

Directions

  1. Click on the first graphic to enlarge to full screen.
  2. Make your selection and record on a piece of paper.
  3. Click on the slide or on next thumbnail at the bottom of the screen to advance to the next screen.
  4. Repeat the above if you need to review.

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Linear or Nonlinear?

Created by Katrena - All rights reserved

Which of the following is not linear: a-straight line with positive slope b-straight line with negative slope c-parabola with curved line d-vertical straight line

Choice c is not linear because the line is curved (parabola)

Which of the following is not linear: 1-curved line, b-straight line with positive slope, c-straight line with positive slope, d-straight line with negative slope

Choice a is not linear because it is a curved line

Which is not linear: a - (0,0) (1,1) (2,2) (3,3)  b - (-5,5) (-3,3) (0,0) (-5,-5)  c - (-4,0) (-2,1) (0,2) (2,3)  d - (8,4) (6,2) (4,0) (2,-2)

Choice b is not linear because the x-value is repeated

Which is not linear: a - (4,-4) (3,-3) (2,-2) (1,-1) b - (5,3) (2,2) (-1,1) (-4,0)  c - (1/2,3) (1.5,1) (2.5,-1) (3.5,-3)

Choice d is not linear because the x-value repeats

Which is not linear: a. x values are -2,0,2,-2 and y values are 6,4,2,0  b. x values are 3,6,9,12 and y values are 1,5,9,13  c. x values are -11,0,11,22 and y values are -1,0,1,2  d. x values are 4,2,0,-2 and y values are -2,0,2,4

Choice a is not linear because the x-values repeat

Which is not linear: a. x values are 2,4,6,8 and y values are 1,2,3,4  b. x values are 0.5,1,1.5,2 and y values are 7,2,-3,-8  c. x values are 7,5,3,1 and y values are 2,2,2,2  d. x values are 1,4,1,10 and y values are 1,4,7,10

Choice d is not linear because the x values repeat.

Which of the following is not linear: a. x values are -1,0,1,2 and y values are -8,-6,-4,-2  b. x values are 6,6,1,-6 and y values are -5,0,5,10  c. x values are 2,5,8,11 and y values are -2,-5,-8,-11  d. x values are 3.3,3.2,3.1,3 and y values are 20,10,0,-10

Choice b is not linear because the x values repeat

Which of the following is not linear: a. y=5x+15  b. y=2x  c. y=3x to the 2nd power +4x-1  d. y=15

Choice c is not linear because it has an exponent

Which is not linear: a. y=-4x-3  b. y=x to the 4th power +2  c. y=1/2 x+8  d. y=3x

Choice b is not linear because it has an exponent

Which is not linear: a. f(x)=4/3 x+1  b. f(x)=0.5x  c. y=x  d. f(x)=x to the 2nd power-3x+4

Choice d is not linear because it has an exponent

Which is linear: a. Molly's bunny has 2 babies each year. Those babies have 2 babies each year. Those bunnies have 2 babies each year, etc.  b. Minato gets a monthly allowance of $50  c. The parking fee is $2 per hour.  d. The total car rental fee is $0.10/mile plus a $25 flat rate.

Choice a is not linear because it has exponential growth

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