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.

Thanks a bunch for visiting my Student Survive 2 Thrive blog. Feel free to type your next desired subject in my search bar or search by topic, enter your topic (like math) in my search bar, or visit my site map to find all of my resources. Here are a few to get you started:


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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Friday, May 27, 2022

Which Number is Bigger Using Order of Operations

 Can you determine which number is larger? These ten examples encourage you to think through square roots, exponents, order of operations, and more. Are you up for the challenge? This practice test is designed in adaptive mode so that you will see the correct answer after each question.

Directions

  1. Click on the first graphic to enlarge to full screen.
  2. Write your answer for each question on a piece of paper.
  3. Click on the graphic or the next thumbnail to advance to the next screen.
  4. Check your answers.

Thanks so much for visiting my Student Survive 2 Thrive blog! Feel free to search my entire blog at the site map or narrow your search by topic or simply type in your desired topic in the search bar on my blog. Here are a few additional math practice tests to get you started:


Compare 2 Numbers Including Exponents and Decimals

Created by Katrena - All rights reserved

Which is larger: square root of 9 or 2 to the 3rd power

The square root of 9 is smaller than 2 to the 3rd power

Which is bigger: 3 to the -4 power or 9 to the -2 power?

3 to the -4 power is equal to 9 to the -2 power

Which is larger? 1/2 or 3 times 10 to the -2 power?

1/2 is greater than 3 times 10 to the -2 power

Which is greater? 0 to the 8th power or 8 to the 0 power?

0 to the 8th power is less than 8 to the 0 power

Which is greater? square root of 16 to the 3rd power or square root of 64 to the -5th power?

The square root of 16 to the 3rd power is greater than the square root of 64 to the -5th power

Which is bigger? square root of 49 minus square root of 36 or 10 to the 1st power plus 0/9

Square root of 49 plus square root of 36 is equal to 10 to the 1st power plus 0/9

Which is larger? 0.256 or -256 to the negative 1st power?

0.256 is greater than -256 to the -1 power

Which is greater? (square root 9 + 7) squared or 2 (square root 81 times 6)

(square root 9 + 7) squared is less than 2 (square root 81 times 6)

Which is greater? -3 (2/3) or -4 plus 7 to the 0 power

-3 (2/3) is less than -4 + 7 to the 0 power

Which is greater? 5 + 0.5 or square root 25 plus 2 to the -1 power

5 plus 0.5 is equal to square root 25 plus 2 to the -1 power

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Scientific Notation and Standard Form for Decimals and Fractions

Writing long numbers can be much shorter when using scientific notation. This Kahn Academy video on scientific notation explains how to covert numbers in standard form to scientific notation. I've created some practice questions, including some decimals and fractions for an extra challenge. This practice test is in adaptive mode, which means you can see the correct answers after answering each question.

Directions

  1. Click on the first graphic to enlarge to full screen.
  2. Write your answers on a sheet of paper.
  3. Click on either the graphic or the next thumbnail to advance to the next screen.

Thanks for visiting my Student Survive 2 Thrive blog! Visit my math page for all of my math resources or feel free to look at additional math practice below:

Scientific Notation and Standard Format for Decimals & Fractions

Created by Katrena - All Rights Reserved

Write the following in scientific notation: 0.00003

0.00003 equals 3 times 10 to the -5 power

Write the following in scientific notation: 0.001234

0.001234 is 1.234 times 10 to the -3 power

Write the following in scientific notation: 0.00000509

0.00000509 is 5.09 times 10 to the -6 power

Write the following in scientific notation: 0.00000010107

0.00000010107 is 1.0107 times 10 to the -7 power

Write the following in scientific notation: 3/4

3/4 = 75% = 0.75 = 7.5 times 10 to the -1 power

Write the following in standard format: 2 times 10 to the -2 power

2 times 10 to the -2 power is 0.02

Write the following in standard format: 773 times 10 to the -8 power

773 times 10 to the -8 power is 0.0000000773

Write the following in standard format: 5.008 times 10 to the -3 power

5.008 times 10 to the -3 power is 0.005008

Write the following in standard format: 1.003 times 10 to the -6 power

1.003 times 10 to the -6 power is 0.000001003

Write the following in fraction format: 5 times 10 to the -1 power

5 times 10 to the -1 power is 50% which is 1/2

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