unit 2 - SHSAlgebra

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Transcript unit 2 - SHSAlgebra

Warm-up
You can work a total of no more then 41 hours each
week at your two jobs. Housecleaning pays $5 per
hour and your sales job pays $8 per hour. You need
to earn at least $254 each week to pay your bills.
Write a system of inequalities that shows the various
numbers of hours you can work at each job.
x = housecleaning
y = sales job
Hours:
x + y ≤ 41
Money:
5x + 8y ≥ 254
1. A printing company will charge $6 plus
$0.07 per page. Another company will charge
$24 plus $0.04 per page for the same project.
For how many pages will the costs be the
same regardless of which company is used?
A. 330
B. 400
C. 600
D. 1000
2. Solve by elimination.
2 x  3 y  14
3x  3 y  9
A. (1, 2)
B. (-1, 4)
C. (1, -4)
D. (-1, 2)
3. Joe spent $7.75 to purchase 23 snacks
the club meeting. Chips are $0.25 and pretzels
are $0.50. How many of each type of snack
did Joe buy?
A.8 chips, 15 pretzels
B.15 chips, 8 pretzels
C.11 chips, 12 pretzels
D.12 chips, 11 pretzels
4. How many solutions does the systems
have?
y  2x 1
4 x  2 y  2
A. None
B. Exactly One
C. Exactly Two
D. Infinitely Many
5. The solution of which linear inequality is graphed
below?
A. y < -x
B. y > -x
C. y ≤ -x
D. y ≥ - x
6. Tickets to the carnival cost $9.00 for adults
and $7.50 for children. A group of 11 people
went to the carnival and paid $87 for tickets.
How many adult tickets were purchased? How
many children’s tickets were purchased?
A. 3 adult’s tickets, 8 children’s tickets
B. 8 adult’s tickets, 3 children’s tickets
C. 5 adult’s tickets, 6 children’s tickets
D. Can’t be determined from the given
information
7. Which system of inequalities is represented by the
graph?
A.
B.
C.
D.
8. The ordered pair (-6, 2) is a solution of
which system of equations?
4x  3 y  7
A.
x  y  4
2 x  3 y  18
C. x  y  8
10 x  13 y  34
B.
15x  17 y  56
x  y  10
D.
x  y  8
9. The equations 5x + 2y = 48 and 3x + 2y = 32
represent the money collected from school concert
ticket sales during two class periods. If x represents
the cost for each adult ticket and y represents the cost
for each student ticket, what is the cost for each adult
ticket?
A. $20
B. $10
C. $8
D. $4
10. Which property is shown below?
9  2 12  9  2 12
A. Commutative property of multiplication
B. Associative property of multiplication
C. Multiplication property of equality
D. Identity property of multiplication
11. Which pair is NOT a solution of the
system of inequalities?
3x  2 y  2
A. (0, 0)
B. (-1, 2)
C. (4, 1)
D. (2, 2)
x y 3
12. Which system of inequalities is represented by the
graph?
A.
B.
C.
D.
13. When solving a system of
linear equations and both
variables cancel out and all that’s
left is -10 = 0, what do you know
about the graphs?
A.
B.
C.
D.
The graphs coincide
The graphs intersect
The graphs are parallel
The graphs are perpendicular
14. Solve the inequality
2
 x46
7
A.
B.
C.
D.
x > -7
x < -14
x > 35
x < -35
Results…
How well did you do?
Homework
1. Review WS/HW
2. STUDY!
3. Test Tuesday!!!