\bf Systems of Equations

Systems of Equations


Solve each system of equation by either substitution or Addition/Multiplication (Ex. 1-8)


(1) y = 2x,     x + y = 12


A (6,6) B (4,8) C (9,3) D (8,4) E (4,6)


(2) y = x - 1,     3x + 4y = 17


F (3,4) G (4,8) H (9,3) J (8,4) K (3,2)


(3) 2x - y = -1,     3x + y = -4


A (4,1) B (-1,-1) C (4,-3) D (4,3) E (3,-2)


(4) y - x = 1,     3y - 2x = 5


F (3,2) G (4,8) H (4,3) J (6,7) K (-2,3)


(5) 5x + 4y = 29,     3x - 2y = 13


A (5,1) B (5,-1) C (21,11) D (-3,13 1/2) E (5,4 3/4)


(6) 3x + 7y = 2,     2x + 3y = 3


F (-1,3) G (3,-1) H (-1,1 2/3) J (-3,3) K (3,1)


(7) 5x = 2y + 8,     3x - 5y = 1


A (2,-1) B (2,9) C (2,1) D (5,2) E (3,5)


(8) 5x = 3y + 4,     2x + 2y = 8


F (2,2) G (5,3) H (2,4 2/3) J (2,6) K (2,-2)


(9) If (4,y) is a solution to the equation x - 2y = 18, what is the value of y?


A 7 B 36 C 10 D -7 E 24


(10) If (x,2) is a solution to the equation 2x - 4y = 12, what is the value of y?

F 2 G -2 H -2 J -4 K 10


OPEN-ENDED QUESTION


(11) Solve 3x - y = 2, y = 3x. Does every system of equations have a solution?


CUMULATIVE REVIEW


(1) The length of a rectangle is 6 cm more than twice the width. The area is 36 cm2 . Find the dimensions, in cm, of the rectangle.


A 4 1/2 by 10 9 by 3 4 by 7 3 by 12 4 by 7
medskip

(2) Factor 2y2 + 3y - 20.


F (3y + 5)(y - 4) G (2y - 5)(y - 4) H (2y - 3)(y +1)

J (2y - 5)(y + 4) K (2y + 10)(y - 2)


(3) Draw the graph representing the solution to the inequality 2x - 5 4x - 7




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