Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number....
-
Upload
joleen-mckenzie -
Category
Documents
-
view
223 -
download
0
description
Transcript of Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number....
![Page 1: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/1.jpg)
Chapter 1Section 3
![Page 2: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/2.jpg)
Write an algebraic expression to represent 3 more than a number.
Answer:
![Page 3: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/3.jpg)
Write an algebraic expression to represent 6 times the cube of a number.
Answer:
![Page 4: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/4.jpg)
Write an algebraic expression to represent the square of a number decreased by the product of 5 and the same number.
Answer:
![Page 5: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/5.jpg)
Write an algebraic expression to represent twice the difference of a number and 6.
Answer:
![Page 6: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/6.jpg)
Write an algebraic expression to represent each verbal expression.a. 6 more than a number
b. 2 less than the cube of a number
c. 10 decreased by the product of a number and 2
d. 3 times the difference of a number and 7
Answer:
Answer:
Answer:
Answer:
![Page 7: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/7.jpg)
Write a verbal sentence to represent .
Answer: The sum of 14 and 9 is 23.
![Page 8: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/8.jpg)
Write a verbal sentence to represent .
Answer: Six is equal to –5 plus a number.
![Page 9: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/9.jpg)
Write a verbal sentence to represent .
Answer: Seven times a number minus 2 is 19.
![Page 10: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/10.jpg)
Write a verbal sentence to represent each equation.a.
b.
c.
Answer: The difference between 10 and 3 is 7.
Answer: Three times a number plus 2 equals 11.
Answer: Five is equal to the sum of 2 and a number.
![Page 11: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/11.jpg)
Name the property illustrated by the statement if xy = 28 and x = 7, then 7y = 28.
Answer: Substitution Property of Equality
![Page 12: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/12.jpg)
Name the property illustrated by the statement.
Answer: Reflexive Property of Equality
![Page 13: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/13.jpg)
Name the property illustrated by each statement.a.
b.
Answer: Transitive Property of Equality
Answer: Symmetric Property of Equality
![Page 14: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/14.jpg)
Solve . Check your solution.
Original equation
Add 5.48 to each side.
Simplify.
Check: Original equation
Answer: The solution is 5.5.
Simplify.
Substitute 5.5 for s.
![Page 15: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/15.jpg)
Solve . Check your solution.
Original equation
Simplify.
Multiply each side by the multiplicative inverse of
![Page 16: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/16.jpg)
Answer: The solution is 36.
Check: Original equation
Simplify.
Substitute 36 for t.
![Page 17: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/17.jpg)
Solve each equation. Check your solution.
a.
b.Answer: –2
Answer: 15
![Page 18: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/18.jpg)
Solve
Original equation
Distributive and Substitution Properties
Commutative, Distributive, and Substitution Properties
Addition and Substitution Properties
Division and Substitution Properties
Answer: The solution is –19.
![Page 19: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/19.jpg)
Answer: –6
Solve
![Page 20: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/20.jpg)
Geometry The area of a trapezoid is
where A is the area, b1 is the length of one base, b2
is the length of the other base, and h is the height of
the trapezoid. Solve the formula for h.
![Page 21: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/21.jpg)
Area of a trapezoid
Multiply each side by 2.
Simplify.
Divide each side by .
Simplify.
![Page 22: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/22.jpg)
Answer:
![Page 23: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/23.jpg)
Geometry The perimeter of a rectangle is where P is the perimeter, is the length, and w is the width of the rectangle. Solve the formula for w.
w
Answer:
![Page 24: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/24.jpg)
Multiple-Choice Test Itemwhat is the value of
A B
C D
![Page 25: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/25.jpg)
Read the Test ItemYou are asked to find the value of the expression 4g – 2. Your first thought might be to find the value of g and then evaluate the expression using this value. However, you are not required to find the value of g. Instead, you can use the Subtraction Property of Equality on the given equation to find the value of 4g – 2.
![Page 26: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/26.jpg)
Solve the Test Item
Original equation
Subtract 7 from each side.
Answer: B
![Page 27: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/27.jpg)
Multiple-Choice Test Itemwhat is the value of
A 12 B 6
C –6 D –12
Answer: D
![Page 28: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/28.jpg)
Home Improvement Carl wants to replace the 5 windows in the 2nd-story bedrooms of his home. His neighbor Will is a carpenter and he has agreed to help install them for $250. If Carl has budgeted $1000 for the total cost, what is the maximum amount he can spend on each window?
Explore Let c represent the cost of each window.Plan
The number
of windowstime
s
the cost per
windowplus
the cost for a carpenter equals
the total cost.5 c + 250 = 1000
![Page 29: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/29.jpg)
Solve Original equation
Subtract 250 from each side.Simplify.
Simplify.
Answer: Carl can afford to spend $150 on each window.
Divide each side by 5.
![Page 30: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/30.jpg)
Examine The total cost to replace five windows at $150each is 5(150) or $750. Add the $250 cost ofthe carpenter to that, and the total bill toreplace the windows is 750 + 250 or $1000.Thus, the answer is correct.
![Page 31: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/31.jpg)
Home Improvement Kelly wants to repair the siding on herhouse. Her contractor will charge her $300plus $150 per square foot of siding. How much siding can she repair for $1500?
Answer: 8 ft2
![Page 32: Chapter 1 Section 3. Example 3-1a Write an algebraic expression to represent 3 more than a number. Answer:](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1b287f8b9ab05999818d/html5/thumbnails/32.jpg)