Download Chapter 5 Practice

Name
Class
Date
5-1 • Guided Problem Solving
Student Page 151, Exercise 20:
6
Open Ended One equation in a linear system is y 5 x 2 4.
4
a. Graph y 5 x 2 4 and a second linear equation so that the
solution of the system is (4, 0).
b.Write an equation of the second linear equation in the system.
2
y
x
6 4 2 O
2
Understand
2
4
6
2
4
6
4
1. How many equations are in the system?
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GPS
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2. What is one equation in the system?
3.What is the solution of the system?
Plan and Carry Out
4. Graph the equation that you know is in the system.
5.Draw a point on the graph to represent the solution of the system.
6. What point do you know that the second equation passes through?
8.Draw one possible line to represent the second equation in the system.
9. Write the equation for the line you drew.
Check
10. Substitute the solution of the system in the equation you wrote to see if it checks.
Solve Another Problem
6
11. Open Ended One equation in a linear system is y 5 2x 2 3.
a. Graph y 5 2x 2 3 and a second linear equation so that the
system has a solution of (1, 21).
b.Write the equation of the second linear equation in the
­system.
4
y
2
x
6 4 2 O
2
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7.How many different lines can be drawn through this point?
4
6
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Course 3 Lesson 5-1
Guided Problem Solving
10/10/12 3:55 PM
Name
Class
Date
5-2 • Guided Problem Solving
GPS
Student Page 157, Exercise 16:
A grocery store makes a 20 pound mixture of almonds and cashew nuts.
The store charges $4.00 per pound for almonds and $5.50 per pound for
cashews. The total value of the mixture is $92. How many pounds of each
type of nut are in the mixture?
Understand
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1. What is in the mixture?
2. How much does the mixture weigh?
3. How much does 1 pound of almonds cost?
4. How much does 1 pound of cashews cost?
5.How much does the mixture cost?
Plan and Carry Out
6.Write an equation that represents the total weight of the mixture.
Let x = pounds of almonds and y 5 pounds of cashews.
8. The equations in Steps 6 and 7 form a system. Use substitution to solve the system.
9. How many pounds of almonds and cashews are in the mixture?
Check
10. Substitute the solution in each of the original equations.
Solve Another Problem
11. A deli makes up a cheese tray with colby and jack cheese. There is a total
of 6 pounds of cheese. The colby cheese costs $5.00 per pound, and the
jack cheese costs $4.50 per pound. The total value of the cheese tray is
$28. How many pounds of each type of cheese are on the tray?
© Pearson Education, Inc., publishing as Pearson Prentice Hall.
7. Write an equation that represents the total cost of the mixture.
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Course 3 Lesson 5-2
Guided Problem Solving
10/10/12 3:55 PM
Name
Class
Date
5-3 • Guided Problem Solving
GPS
Student Page 184, Exercise 11:
Writing in Math Explain how to solve the system below using the elimination method.
5x 2 6y 5 8
23x 1 11y 5 10
Understand
1. What are you being asked to do?
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2. How will you find the answer?
Plan and Carry Out
3. Multiply the first equation by 3.
4. Multiply the second equation by 5.
© Pearson Education, Inc., publishing as Pearson Prentice Hall.
5. Add the equations to eliminate x.
6. Substitute the value for y. Solve for x.
7. What is the solution of the system?
Check
8. How can you check your answer?
Solve Another Problem
9. Explain how to solve the system below using the elimination method.
4x 1 2y 5 28
3x 2 3y 5 3
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Course 3 Lesson 5-3
Guided Problem Solving
10/10/12 3:55 PM
Name
Class
Date
5-4 • Guided Problem Solving
GPS
Student Page 170, Exercise 16:
The Ahmed family wants to get satellite television service. Satellite Focus
charges a monthly rate of $50 plus a one-time installation fee of $150. Dish
Dynamics charges a monthly rate of $55 plus a one-time installation fee of
$100. How should the Ahmeds choose which satellite television company to
use? Justify your response.
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Understand
1. Draw an oval around the cost for Satellite Focus. Draw a box around
the cost for Dish Dynamics.
Plan and Carry Out
2. Write an equation that represents the cost of Satellite Focus’s service.
Then write an equation that represents the cost of Dish Dynamics’
service. Let x 5 number of months and y 5 total cost.
3. When does the service from both companies cost the same?
© Pearson Education, Inc., publishing as Pearson Prentice Hall.
4. What decision should the Ahmeds make?
Check
5. Substitute the solution in each of the original equations.
Solve Another Problem
6. The Miller family is planning to order a pizza. Papa’s Pizza charges $14
for a large cheese pizza and $1.50 for each additional topping. Zeke’s
Pizzeria charges $12 for a large cheese pizza and $2 for each additional
topping. How should the Millers choose which pizza company to order
from? Justify your response.
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Course 3 Lesson 5-4
Guided Problem Solving
10/10/12 3:55 PM