Advanced Algebra: Chapter 3 Review
Name:__________________
Multiple Choice
Identify the choice that best completes the statement or answers the question.
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1. The system of equations y = 2x – 3 and y = 4x – 3 has
a. exactly one solution.
c. infinitely many solutions.
b. no solution.
d. exactly two solutions.
2. Choose the correct description of the system of equations.
x + 2y = 7
3x – 2y = 5
a. consistent and independent
c. consistent and dependent
b. inconsistent
d. inconsistent and dependent
Solve each system of equations.
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3. 4x – 3y = 14
y = –3x + 4
a. (1, 1)
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b. (–4, –10)
c. (5, 2)
d. (2, –2)
b. (0, –83)
c. (2, 0)
d.
4. 4x – 3y = 8
2x + 5y = –9
a. (–2, 1)
( , –2)
Learning Target: I can solve a system of linear equations by substitution or elimination.
.
Learning Target: I can determine whether a system of linear equations is inconsistent, consistent & dependent
or consistent & independent.
Advanced Algebra: Chapter 3 Review
5. Which system of inequalities is graphed?
a. 2x + y 5
3x + 2y 9
b. 2x + y > –5
3x – 2y 9
c. 2x – y 5
3x + 2y < 9
d. –2x + y > 5
3x – 2y 9
Learning Target: I can solve a system of inequalities by graphing.
______________________________________________________________________________________________
Solve each system of equations by graphing.
6. 3x – 2y = 6
2x + y = 4
Learning Target: I can solve a system of equations by graphing.
______________________________________________________________________________________________
Solve each system of equations by using substitution.
7. 3x + 7y = 19
x+y=5
8. x + 3y = 12
5x + y = 4
Learning Target: I can solve a system of linear equations by substitution.
Advanced Algebra: Chapter 3 Review
Solve each system of equations by using elimination.
9. 3x – 2y = 4
2x + 3y = 7
10. 4x – y = 10
5x + 2y = 6
Learning Target: I can solve a system of linear equations by elimination.
______________________________________________________________________________________________
Solve each system of inequalities by graphing.
11. 4x – 3y < 9
2x + y 5
Learning Target: I can solve a system of inequalities by graphing.
______________________________________________________________________________________________
Solve each system of equations. By Hand!!!!!!!!!!!
12. x + 2y – 3z = 5
x – y + 2z = –3
x+y–z=2
Advanced Algebra: Chapter 3 Review
13. 3x + y + 2z = 1
2x – y + z = –3
x + y – 4z = –3
Learning Target:
I will solve a system of 3 linear Equations Manually.
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14. There are 49,000 seats in a sports stadium. Tickets for the seats in the upper level sell for $25, the ones in the
middle level cost $30, and the ones in the bottom level are $35 each. The number of seats in the middle and
bottom levels together equals the number of seats in the upper level. When all of the seats are sold for an
event, the total revenue is $1,419,500. How many seats are there in each level?
Learning Target:
I will solve application problems involving a system of 3 linear Equations.
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Chapter 3 Answer Key
1. A
11.
2. A
3. D
4. D
12. (0, 1, –1)
5. B
6. (2,0)
7. (4,1)
8. (0,4)
9. (2,1) 10. (2,-2)
13. (–1, 2, 1)
14. Bottom level: 14,400 seats; middle level: 10,100 seats; upper level: 24,500 seats
Advanced Algebra: Chapter 3 Review
Advanced Algebra: Chapter 3 Review