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5.1– 5.2
Quiz
Progress Check
Match the system of linear equations with the corresponding graph. Use the
graph to estimate the solution. Check your solution. (Section 5.1)
1. y = x − 2
1
3
y = − —x + 1
y = −2x + 1
A.
B.
y
Ź1
Ź3
y = 4x + 5
C.
y
1
Ź5 Ź4 Ź3 Ź2
1
2
3. y = —x − 2
2. y = x − 3
y
3
3
2
1 x
1
Ź3 Ź2 Ź1
x
2
Ź1
3 x
Ź4
Ź2
Ź5
Ź3
Solve the system of linear equations by graphing.
4. y = 2x − 3
5. 6x + y = −2
y = −x + 9
y = −3x + 1
1
2
3
(Section 5.1)
6. 4x + 2y = 2
3x = 4 − y
Solve the system of linear equations by substitution. Check your solution.
(Section 5.2)
7. y = x − 8
y = 2x − 14
8. x = 2y + 2
2x − 5y = 1
9. x − 5y = 1
−2x + 9y = −1
10. MOVIE CLUB Members of a movie rental club pay a \$15 annual membership
fee and \$2 for new release movies. Nonmembers pay \$3 for new release
movies. (Section 5.1)
a. Write a system of linear equations that represents
this situation.
b. When is it beneficial to have a membership?
11. NUMBER SENSE The sum of two numbers is 38. The
greater number is 8 more than the other number. Find
y
each number. Use a system of linear equations to justify
ice
12. VOLLEYBALL The length of a sand volleyball court is twice
d
its width. The perimeter is 180 feet. Find the length and
width of the sand volleyball court. (Section 5.2)
13. MEDICAL STAFF A hospital employs a total of 77 nurses
and doctors. The ratio of nurses to doctors is 9 : 2. How
many nurses are employed at the hospital? How many
doctors are employed at the hospital? (Section 5.2)
Sections 5.1– 5.2
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Quiz
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12/8/12 9:54:50 AM