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Advanced Algebra Ch. 3 Name_________________________ Chapter 3 Review
Do not use a graphing calculator for problems 1-30. Solve the following systems of equations by graphing.
- 3x 4y 8 2y x 6
- 3x 2y 10 4x y 6
- When would a system with two equations have no solution?
Solve the systems of equations by substitution.
- (^) 2x y 4 3x 2y 1
- (^) x 3y 7 3x y 1
Solve the systems of equations by elimination.
- 2 x 1 y 15 3 3 6x 2y 10
- 2x^ y^7 3 3x y 9
Solve the systems of equations by substitution or elimination.
- 8x 3y 5 6y 10x 13 0
- 9x y 30 6x 15 y
Solve each system by graphing.
- y 4 x y 3x 1
- y 3 x x y 2
- y x 2 3
y x 2
- x 2y 6 y x 3
Write & solve a system of equations.
- The sum of three numbers is 6. The third number is the sum of the first and second numbers. The first number is one more than the third number. Find the numbers.
- Alissa, Jake, and Dylan are siblings. They have lived a total of 61 years combined. Alissa has lived two more years than Dylan. Jake and Dylan combined have lived 17 years longer than Alissa. Find the age of each sibling.
- Meg, Katy, and Chris are keeping track of how far they run each day. At the end of the week, they combined their distances and found that they ran 82 miles in total. Katy ran twice as far as Meg, and Chris ran 2 more miles than Meg. How far did each person run?
ANSWERS
- (4, -1)
- (2, -2)
- Same slope / parallel lines
- (7, -10)
- (1, -2)
- (10, 25)
- (6, 9)
- 1 , 3 2
(3, 3)
(^) y 1 x 3 2
- (-3, -2, -5)
- (-20, 12, 7)
- (-2, -3, 1)
- (15, -1, 5)
- (4, -1, 3)
- A=22, D=20, J=
- C=22, K=40, M=
