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Chapter 3: Q50. (page 127)

Simplify the expression. (Lesson 2.3)

-2x+5-7(x+1)

Short Answer

Expert verified

The simplified expression is鈭�9x鈭�2 .

Step by step solution

01

– Use distributive property

The distributive property is given asa(b+c)=ab+ac.

The given expression is鈭�2x+5鈭�7(x+1) .

So,鈭�2x+5鈭�7(x+1)=鈭�2x+5鈭�7x鈭�7[distributiveproperty]

02

– Combine the like terms

鈭�2x+5鈭�7(x+1)=鈭�2x鈭�7x鈭�7+5[groupliketerms]=鈭�9x鈭�2[combineliketerms]

03

– Conclusion 

Therefore, the simplified expression is鈭�9x鈭�2 .

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The total cost of repairing a car is the sum of the amount paid for parts and the amount paid for Labor. You paid \(78 for parts and \)45 for each hour of Labor. The total cost to repair the car was $168. How many hours did it take to repair the car?

  1. Copy and complete the verbal model.
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Driving A family is driving to Houston, Texas. A sign indicates that they are 700 miles from Houston. Their car鈥檚 trip odometer indicates that they are 400 miles from home. They are travelling at an average speed of 60 miles per hour.

  1. Write an expression for the distance (in miles) they will be from Houston in x hours.
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  3. Use the expression from parts a and b to write and solve an equation to find the number of hours they will drive until they are exactly halfway between Houston and their home.
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