Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Math
right chevron icon
Algebra 1
right chevron icon
One-Variable Equations
right chevron icon
Select The Equivalent Equations

Select The Equivalent Equations Worksheet

Algebra 1
One-Variable Equations

Total questions - 0

Assignment will be available soon.
Do you want to see how your students perform in this assignment?

How Will This Worksheet on "Select the Equivalent Equations" Benefit Your Students' Learning?

  • It will develop a strong understanding on equality properties and balanced equations.
  • It will help to develop algebraic concepts such as solving equations, simplifying expressions, and identifying patterns.
  • It improves critical thinking as analyzing and selecting equivalent equations involves critical thinking and logical reasoning.

How to Select the Equivalent Equations?

  • Examine each given equation and look for similarities and differences between it and the original equation.
  • Use properties of equality to simplify each option.
  • Then, select the equation which when simplified, matches with the original equation.

Solved Example

Q. Select all of the equations below that are equivalent to:\newline9=n+−39 = n + -3\newlineUse properties of equality.\newlineMulti-select Choices:\newline(A) 64=(n+(−3))⋅864 = (n + (-3)) \cdot 8\newline(B) −77=−7(n+(−3))-77 = -7(n + (-3)) \newline(C) 90=(n+(−3))⋅1090 = (n + (-3)) \cdot 10\newline(D) 63=(n+(−3))⋅763 = (n + (-3)) \cdot 7
Solution:
  1. Understand Equation: Understand the original equation.\newline The original equation is 9=n+(−3)9 = n + (-3).\newline To find equivalent equations, we can perform the same operation on both sides of the equation without changing its meaning.
  2. Check Equation (A): Check equation (A) 64=(n+(–3))⋅864 = (n + (\text{–}3)) \cdot 8.\newline Divide both sides of the equation 64=(n+(–3))⋅864 = (n + (\text{–}3)) \cdot 8 by 88:\newline 648=(n+(–3))⋅88\frac{64}{8} = \frac{(n + (\text{–}3)) \cdot 8}{8}\newline 8=n+(−3)8 = n + (-3)\newline We have: 9=n+(−3)9 = n + (-3)\newline Check if 88 equals 99.
  3. Equation (A) Comparison: Since 88 does not equal 99, equation (A) is not equivalent to the original equation.
  4. Check Equation (B): Check equation (B) −77=−7(n+(−3))-77 = -7(n + (-3)).\newline Divide both sides of the equation −77=−7(n+(−3))-77 = -7(n + (-3)) by −7-7:\newline −77−7=−7(n+(−3))−7\frac{-77}{-7} = \frac{-7(n + (-3))}{-7}\newline 11=n+(−3)11 = n + (-3)\newline We have: 9=n+(−3)9 = n + (-3)\newline Check if 1111 equals 99.
  5. Equation (B) Comparison: Since 1111 does not equal 99, equation (B) is not equivalent to the original equation.
  6. Check Equation (C): Check equation (C) 90=(n+(–3))⋅1090 = (n + (–3)) \cdot 10.\newline Divide both sides of the equation 90=(n+(–3))⋅1090 = (n + (–3)) \cdot 10 by 1010:\newline 9010=(n+(–3))⋅1010\frac{90}{10} = \frac{(n + (\text{–}3)) \cdot 10}{10}\newline 9=n+(−3)9 = n + (-3)\newline We have: 9=n+(−3)9 = n + (-3)\newline Check if 99 equals 99.
  7. Equation (C) Comparison: Since 99 equals 99, equation (C) is equivalent to the original equation.
  8. Check Equation (D): Check equation (D) 63=(n+(–3))⋅763 = (n + (–3)) \cdot 7.\newline Divide both sides of the equation 63=(n+(–3))⋅763 = (n + (–3)) \cdot 7 by 77:\newline 637=(n+(–3))⋅77\frac{63}{7} = \frac{(n + (\text{–}3)) \cdot 7}{7}\newline 9=n+(−3)9 = n + (-3)\newline We have: 9=n+(−3)9 = n + (-3)\newline Check if 99 equals 99.
  9. Equation (D) Comparison: Since 99 equals 99, equation (D) is equivalent to the original equation.
50,000+ teachers over use Byte!

Create your unique worksheets

  • star-iconAdd Differentiated practice to your worksheets
  • star-iconTrack your student’s performance
  • star-iconIdentify and fill knowledge gaps
Create your worksheet now

About Worksheet

Algebra 1
One-Variable Equations

Selecting the equivalent equations means identifying the equations that are mathematically equivalent. Equivalent equations can be formed by using the properties of equality. These equations look different at first, but after simplifying them, they give the same answer. In these worksheets, students need to identify all the equations that are equivalent to the given equation.

Related Worksheets
50,000+ teachers over the world use Byte!

Digitally assign and customise your worksheet using AI

  • star-iconAdd Differentiated practice to your worksheets
  • star-iconSee how your class performs
  • star-iconIdentify and fill knowledge gaps
Create your own assignment!

Class Performances tracking