Download Use the graph below to determine whether each system is

2. ANSWER: inconsistent
Chapter 6
Use the graph below to determine whether each
system is consistent or inconsistent and if it is
independent or dependent.
3. DANCES Mario and Tanesha are inflating balloons
for the school dance. Mario has 12 balloons inflated
and is inflating additional balloons at a rate of 3
balloons per minute. Tanesha has 16 balloons inflated
and is inflating additional balloons at a rate of 2
balloons per minute. a. Write a system of equations to represent the
situation.
b. Graph each equation.
c. How long will it take Mario to have more balloons
filled than Tanesha?
1. ANSWER: a. Mario:
ANSWER: consistent and independent
, Tanesha:
2. ANSWER: inconsistent
3. DANCES Mario and Tanesha are inflating balloons
for the school dance. Mario has 12 balloons inflated
and is inflating additional balloons at a rate of 3
balloons per minute. Tanesha has 16 balloons inflated
and is inflating additional balloons at a rate of 2
balloons per minute. a. Write a system of equations to represent the
situation.
b. Graph each equation.
c. How long will it take Mario to have more balloons
filled than Tanesha?
ANSWER: a. Mario:
b.
c. (4, 24); Mario will have more filled balloons after 4
minutes.
Use substitution to solve each system of
equations.
4. ANSWER: , Tanesha:
5. ANSWER: no solution
6. ANSWER: eSolutions Manual - Powered by Cognero
b.
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number is two. The sum of the two numbers is
fourteen. What are the two numbers?
5. ANSWER: Chapter
6
no solution
ANSWER: 4 and 10
Use elimination to solve each system of
equations.
6. ANSWER: 12. ANSWER: (2, 1)
7. ANSWER: infinitely many
8. FRUIT Sarah and Toni each bought fruit for a
fundraiser. If Toni spent $4.30 and Sarah spent
$2.80, how much does each type of fruit cost?
13. ANSWER: 14. CARNIVALS Scott and Isaac went to the school
carnival. Use the table shown to determine how
many tickets a ride and game each cost.
ANSWER: apple, $0.30; orange, $0.50
ANSWER: ride, 3 tickets; game, 1 ticket
Use elimination to solve each system of
equations.
9. ANSWER: 15. SAVINGS Caleb made $105 mowing lawns and
walking dogs, charging the rates shown. If he mowed
half as many lawns as dogs walked, how many lawns
did he mow and how many dogs did he walk?
10. ANSWER: (0, 2)
ANSWER: lawns, 3; dogs, 6
11. The difference of three times a number and a second
number is two. The sum of the two numbers is
fourteen. What are the two numbers?
Determine the best method to solve each
system of equations. Then solve the system.
ANSWER: 4 and 10
Use elimination to solve each system of
equations.
16. ANSWER: elim (+); (-4, 14)
12. ANSWER: (2, 1)
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17. Page 2
ANSWER: subst; (2, 5)
16. ANSWER: Chapter
6 (-4, 14)
elim (+);
17. 20. ANSWER: subst; (2, 5)
ANSWER: 18. BABYSITTING Kelsey and Emma babysit after
school to earn extra money. Kelsey made $52 by
charging $10 per hour and $4 per child. Emma made
$67.50 by charging $15 per hour and $2.50 per child.
a. Write a system of equations to represent the
situation.
b. How many hours and how many children did each
babysit?
ANSWER: a.
b. 4 hours, 3 children
Solve each system of inequalities by graphing.
19. ANSWER: 20. ANSWER: eSolutions Manual - Powered by Cognero
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