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Thursday, August 11, 2022

Algebra Practice: Problems with Two Known Variables

This practice test includes ten algebraic expressions in which there are two known variables. Simply enter numbers for the two variables and solve. I created this post in adaptive mode so that readers will see the correct answer immediately after clicking on each slide. Feel free to write down your answers and compare your answers and steps with mine. You might approach some of these problems in a different manner and still get the correct answer, which is fine.

Directions

  1. Click on the first slide below to enlarge to full screen.
  2. Click on each slide or on the thumbnail at the bottom of the screen to advance to the next slide.

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Algebra Practice with 2 Known Variables

Created by Katrena. All rights reserved.

What is 5x + 2y when x=3 and y=4 ? Possible choices: 23, 7, 48, 14

What is 5x + 2y when x=3 and y=4 ? 5(3)+2(4)=15+8=23

What is ⅓ x - ¼ y when x=30 and y=20? Possible answers: 15, -1/720, 5, -5

What is 1/3x - 1/4y when x=30 and y=20? ⅓(30)-¼(20) = 30/3-20/4 = 10-5 = 5

What is 2x-7-3y when x=7 and y=1? Possible answers: -3, 24, 3, 4

What is 2x-7-3y when x=7 and y=1? 2(7)-7-3(1) = 14-7-3 = 4

What is ¾ x + 2 - 6y when x=4 and y=2? Possible answers: -9, -7, 7, 17

What is ¾ x + 2 - 6y when x=4 and y=2? ¾(4)+2-6(2)=12/4+2-12=3+2-12=-7

What is 100-12(x-1)+10y when x=5 and y=2? Possible answers: 72, 132, 48, 27

What is 100-12(x-1)+10y when x=5 and y=2? 100-12(5-1)+10(2)=100-12(4)+20=100-48+20=72

What is 3(2x+y) when x=3 and y=5 ? Possible answers: 3, -6, 48, 33

What is 3(2x+y) when x=3 and y=5 ? 3[2(3)+5]=3(6+5)=3(11)=33

What is 20x+40y-160 when x=4 and y=2 ? Possible answers: -160, 0, 320, -178

What is 20x+40y-160 when x=4 and y=2 ? 20(4)+40(2)-160=80+80-160=0

What is 7.3x+1.5y when x=3 and y=4 ? Possible answers: 225, 22.5, 27.9, 83

What is 7.3x+1.5y when x=3 and y=4 ? 7.3(3)+1.5(4)=21.9+6=27.9

What is 12x-5y when x=5 and y=-5 ? Possible answers: 85, 17, -35, 35

What is 12x-5y when x=5 and y=-5 ? 12(5)-5(-5)=60-(-25)=60+25=85

What is 15+1½ x-4.5y when x=6 and y=10 ? Possible answers: 21, 3, 19.5, -21

What is 15+1½ x-4.5y when x=6 and y=10 ? 15+3/2(6)-4.5(10)=15+9-45=-21

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