Equivalent Equations - Definition & Examples
Read this topicExplanations 3
- (Video) Equivalent Equations by TheMrAyre This video by TheMrAyre discusses how to keep two sides of an equation equal. Summary\large{\text{Summary}}Summary You can keep the two…
By Victor Wang, Zora Gilbert, Alex Federspiel, Victor Wang, Amy Feraco, Jonathan Heller, Anusha Rahman
- "Producing equivalent equations" sounds daunting, but we do it all the time! Equations are two chunks of math (expressions) set equal to each other. 4x+3=2x−24x + 3 = 2x - 24x+3…
By Zora Gilbert, Liza Sulkin, Alex Federspiel, Jonathan Heller, Anusha Rahman
- Equivalent Equations Two equations are equivalent if you can manipulate one equation to get the other equation. We must be able to start at either equation and end up at the oth…
By Joshua Siktar, Jonathan Heller, Alex Federspiel, Anusha Rahman
Problems 20
- Mark all equations that are equivalent to x+1=5x + 1 = 5x+1=5.
- How are the equations x=(3+2)x=(3+2)x=(3+2) and (3+2)=x(3+2)=x(3+2)=x related?
- Check all of the following that are equivalent to: x+1=2x+1=2x+1=2
- Select all of the equations that are equivalent to the following: x2=6\frac{x}{2}=62x=6
- Find all equations equivalent to x+2=4x+2=4x+2=4.
- Select the equations equivalent to: 2x−13=3\frac{2x-1}{3}=332x−1=3
- How do we determine if equations are equivalent?
- Which of the following are properties of equivalent equations? Mark all that apply.
- Can two equations be equivalent if they look different (for example, if they contain different numbers or coefficients)?
- Select all true statements below.
- Which of the following are equivalent to: 3x+15=20\frac{3}{x} + 15 = 20x3+15=20
- Which of the following are equivalent to: x5−3=4x+2\frac{x}{5} -3 = \frac{4}{x}+25x−3=x4+2
- Which of these equations are not equivalent to: 2x+15=3\frac{2}{x} +\frac{1}{5} =3x2+51=3
- 10−5x=210-\frac{5}{x}=210−x5=2 110−x5=12\frac{1}{10}-\frac{x}{5} =\frac{1}{2}101−5x=21 If you were to solve for xxx in the two equations above, would the solutions be equal?
- Which of the following equations, when manipulated, is equivalent to x+3.1=9.2x+3.1=9.2x+3.1=9.2?
- Which of the following equations, when manipulated, is equivalent to x+8=3x+8=3x+8=3?
- Which of the following equations, when manipulated, is equivalent to 2x+52=62x+\frac52=62x+25=6?
- Which of the following equations, when manipulated, is equivalent to 6x+127=276x+\frac{12}7=276x+712=27?
- Which of the following equations, when manipulated, is equivalent to x+94=2\frac{x+9}{4}=24x+9=2?
- Which equation, when manipulated, is equivalent to x=3x=3x=3?