1.) Write the equation for the balance shown below. 3.) Draw a balance for the following equation. 5x + 1 = 3x + 15

Transcription

1 1.) Write the equation for the balance shown below. 2.) Solve for the number of blocks in a bag. 3.) Draw a balance for the following equation. 5x + 1 = 3x + 15 Warm Up Wobble chairs go to: Kayden, Bailey, Brynn 7 blocks 4.) Solve for x. 1 block 5.) Graph x > 3 on a number line. Remember "I'm not touching you!"

2 Lesson 10.1 C Content Objective: I can use equations and solve for variables. I can change an expression using math properties. I can perform operations with rational numbers. Language Objective: I can explain how to use the distributive property and combine like terms to solve an equation. Assigned 10.1C Due:

3 Lesson 10.1C Balance Problems from Words and Symbolic Method Write the equation for each of the situations being described and then solve for the variable. 1.) One angle of a triangle measures f degrees. One of the other angles of the triangle is twice this size, and the third angle is three times this size. Find the measures of all three angles. (Remember there are 180 degrees in a triangle.) Solution: I can use equations and solve for variables I can change an expression using math properties I can perform operations with rational numbers f 2f f 2.) A rectangular field is twice as long as it is wide. The fence around the perimeter of the field is 312 meters long. How wide is the field? Solution: w length: 3.) Nine more than two times a number is the same as eleven less than six times the same number. What is the number? First expression: Second expression: Solution:

4 4.) An Internet music site called R Tunes R Your Tunes offers downloadable songs for $1.30 each for it's members. An annual membership is $18. Another site called All Tunes offers downloadable songs for $1.75 each (no membership required). How much would it cost to download 60 songs from each site? R Tunes R Your Tunes: All Tunes: How much would it cost to download 10 songs from each site? R Tunes R Your Tunes: All Tunes: Write an equation that shows that the cost of x songs is the same amount at either site and then solve for x. Solution: Explain from which site you should purchase your songs. (Give the ranges for each site.) 5.) On Saturday, Mrs. Weise went bowling at Huikko's Bowling Center. She rented shoes for $2 and each game she bowled cost $3. Mrs. Whitmore also went bowling on Saturday, but she went to Median Lanes where she paid $4 for shoes and $2 per game. They each spent the same amount bowling, how many games did they each bowl? Expression for Mrs.Weise: Expression for Mrs. Whitmore: Equation showing they paid the same amount: Number of games each played:

5 6.) Chris was moving to California, so he decided to rent a trailer. U crawl will rent a trailer for a fee of $120 and $55 per day. Take and Go rents the same trailer for a fee of $80 and $65 per day. How many days is Chris renting the trailer for if the cost is the same for both rental companies? Expression for the cost of renting from U crawl: Expression for the cost of renting from Take and Go: Equation showing the costs are the same: Number of days Chris rented the trailer for: Write the equation the balance scale represents and solve for the variable (the number of blocks in a bag). This time we will record our steps algebraically. 7.) Solution: 8.) 8 blocks Solution:

6 9.) Solution: