Systems Of Linear Equations Worksheets With Answer Key Page 39

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4. Which point is a solution of the system of equations shown below?
(8.EE.8b)
x + 3y = 10
x = 2y − 5
C. (55, −15)
A. (1, 3)
D. (−35, −15)
B. (3, 1)
5. The graph of a system of two linear equations is shown.
y
How many solutions does the system have?
(8.EE.8a)
7
6
F. none
y
2x
4
4
G. exactly one
y
2x
2
2
H. exactly two
4
3
O
1
2
3
4
x
I. infi nitely many
6. A scenic train ride has one price for adults and one price for children. One
family of two adults and two children pays $62 for the train ride. Another family
of one adult and four children pays $70. Which system of linear equations can
you use to fi nd the price x for an adult and the price y for a child?
(8.EE.8c)
A. 2x + 2y = 70
C. 2x + 2y = 62
x + 4y = 62
4x + y = 70
B. x + y = 62
D. 2x + 2y = 62
x + y = 70
x + 4y = 70
7. Which of the following is true about the graph of the linear
equation y = − 7x + 5?
(8.EE.6)
F. The slope is 5, and the y-intercept is − 7.
G. The slope is − 5, and the y-intercept is − 7.
H. The slope is − 7, and the y-intercept is − 5.
I. The slope is − 7, and the y-intercept is 5.
8. What value of w makes the equation below true?
(8.EE.7b)
7w − 3w = 2(3w + 11)
238
Chapter 5
Systems of Linear Equations

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