Enter your Sign-on user name and password.

Forgot password?
  • Follow us on:
Loading video...
Please login to ask a question and view discussion.

Start Learning Now

Our free lessons will get you started (Flash® 10 required).
Get immediate access to our entire library.

Sign up for Educator.com

Features Overview

  • Get on-demand access to our complete library
  • Search and jump to exactly what you need to learn
  • Track your progress
  • Download practice and lesson files
  • *Ask questions and get answers from our community & instructors

Solving Equations by Multiplying

  • You can use the Multiplication Property of Equality to isolate the variable by multiplying both sides of the equation by the reciprocal of the fraction next to the variable.
  • Two numbers are reciprocals if their product is 1. The reciprocal is also known as the multiplicative inverse.
  • Multiplying by the reciprocal is the same as dividing by the same fraction.

6x = 2[18/5]. Solve for x.

  • x = 2[18/5] ×[1/6]
  • x = [28/5] ×[1/6]
  • x = [14/5] ×[1/3]

x = [14/15]

[3/7]x = 10. Solve for x.

  • x = 10 ×[7/3]
  • x = [70/3]

x = 23[1/3]

[9/10]x = − [7/12]. Solve for x.

  • x = − [7/12] ×[10/9]
  • x = − [7/6] ×[5/9]

x = − [35/54]

5x = − [7/10]. Solve for x.

  • x = − [7/10] ×[1/5]

x = − [7/50]

− [5/11]x = [19/20]. Solve for x.

  • x = [19/20] ×− [11/5]
  • x = − [209/100]

x = − 2[9/100]

− [9/8]x = 1.3. Solve for x.

  • − [9/8]x = 1[3/10]
  • x = 1[3/10] ×− [8/9]
  • x = [13/10] ×− [8/9]
  • x = − [104/90]

x = − 1[14/90]

6.2 = − 10x

  • 6[2/10] = − 10x
  • 6[1/5] = − 10x
  • [31/5] ×− [1/10] = x

x = − [31/50]

Jessica has 1[2/3] more money than Duy has. Duy has $ 20.50. How much money does Jessica have?

  • $ 20.50 ×1[2/3] =
  • 20[1/2] ×1[2/3] =
  • [41/2] ×[5/3] =
  • [205/6] =

$ 34.17

Lionel has 7[4/5] more yarn than Michelle has. Michelle has 2[1/3] feet of yarn. How much yarn does Lionel have?

  • 2[1/3] ×7[4/5] =
  • [7/3] ×[39/5] =
  • [7/1] ×[13/5] =
  • [91/5] =

18[1/5] feet

Lauren was refilling her pool after a hot day. The level of water rose 15[3/4] inches in 9[1/2] minutes. How many inches per minute did the water level rise?

  • 15[3/4] ÷9[1/2] =
  • [63/4] ÷[19/2] =
  • [63/4] ×[2/19] =
  • [63/2] ×[1/19] =
  • [63/38] =

1[25/38] inches per minute

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

Solving Equations by Multiplying

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

Mathematics: Pre Algebra

Related Books

Related Books