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WHACK-A-MOLE
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5
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1
MULTIPLE CHOICE
QUESTION #1
Which of the following ordered pairs is the solution of the linear system:
y = 3x + 8
5y ­ x = 12
a) (1, 7)
b) (­2, 2)
c) (8, 4) d) (0, 4)
b) (­2, 2)
2
MULTIPLE CHOICE
QUESTION #2
How many solutions will the following system of equations have?
8x + 4y = 10
4x + 2y = 1
a) infinite
b) 1
c) 2
d) none
d) none
3
MULTIPLE CHOICE
QUESTION #3
How many solutions will the following system of equations have?
x + 3y = 19
­3x + 4y = 34
a) infinite
b) 1
c) 2
d) none
b) 1
4
MULTIPLE CHOICE
QUESTION #4
Which system of equations has no solution?
c) m + n = 5
a) m + n = 5
n + m = ­5
5m + 5n = 25
b) m + n = 5
n = ­5m + 13
d) m + n = 5
15 = 3m + 12n
c) m + n = 5
n + m = ­5
5
QUESTION #5
Find the solution to the system of equations:
m + n = 5
5m + 5n = 25
infinite solutions
6
QUESTION #6
Find the solution to the system of equations:
m + n = 5
n = ­5m + 13
m = 2, n = 3
7
QUESTION #7
Find the solution to the system of equations:
m + n = 5
15 = 3m + 12n
m = 5, n = 0
8
QUESTION #8
MULTIPLE CHOICE
The balance in MiMi's savings account, m, is 0.05 thousand dollars more than the balance in Brooke's savings account, b. The two cousins have a total of 5.95 thousand dollars in their accounts combined. Which system of equations could be used to determine the amount each cousin has, in thousands of dollars, in their accounts? a) m + b = 5.95
b + 0.05 = m
c) m ­ 5.95 = b
b + 0.05 = m
b) b ­ 5.95 = m
m + 0.05 = b
d) m + b = 5.95
m + 0.05 = b
a) m + b = 5.95
b + 0.05 = m
9
MULTIPLE CHOICE
QUESTION #9
What is one point that lies in the solution set of the system of inequalities graphed?
a) (0, 4)
b) (3, 3)
c) (­3, 3)
d) (­1, 1)
c) (­3, 3)
10
MULTIPLE CHOICE
QUESTION #10
What is one point that does not lie in the solution set of the system of inequalities graphed?
a) (0, 0)
b) (­3, 4)
c) (­1, 5)
d) (2, 15)
a) (0, 0)
11
QUESTION #11
MULTIPLE CHOICE
At what point will the graphs of the equations 3x + y = ­7 and y = ­1 intersect?
a) (­1, ­2)
c) (8, ­1)
b) (­2, ­1)
d) (­1, 8)
b) (­2, ­1)
12
QUESTION #12
MULTIPLE CHOICE
At what point will the graphs of the equations 2x = 4 ­ 2y and x = 3 intersect?
a) (3, 3)
c) (3, 1)
b) (3, 0.5)
d) (3, ­1)
d) (3, ­1)
13
QUESTION #13
Solve the following system of equations algebraically using SUBSTITUTION.
5x + 1 = y
­8x + y = 2
x = ­1 , y = ­ 2
3
3
14
QUESTION #14
Solve the following system of equations algebraically using ELIMINATION.
8x + 5y = 6
3x ­ 2y = 10
(2, ­2)
15
QUESTION #15
Solve the following system of equations algebraically using ELIMINATION.
­3x + 8y = 10
5x + 6y = 80
(10, 5)
16
QUESTION #16
MULTIPLE CHOICE
Busy Bee Taxi charges a flat rate and a mileage charge. The total cost is modeled by the function y = 3 + 2x. Which statement represents the meaning of each part of the function? a) x is the total cost, y is the number of miles, $3 is the flat rate, and $2 is the amount charged per mile.
b) x is the total cost, y is the number of miles, $2 is the flat rate, and $3 is the amount charged per mile.
c) y is the total cost, x is the number of miles, $3 is the flat rate, and $2 is the amount charged per mile.
d) y is the total cost, x is the number of miles, $2 is the flat rate, and $3 is the amount charged per mile.
c) y is the total cost, x is the number of miles, $3 is the flat rate, and $2 is the amount charged per mile.
17
MULTIPLE CHOICE
QUESTION #17
Which inequality represents the graph shown?
a) x < ­1
b) x < ­1
c) y < ­1
d) y < ­1
b) x < ­1
18
MULTIPLE CHOICE
QUESTION #18
Which inequality represents the graph shown?
a) x > 3
b) x > 3
c) y > 3
d) y > 3
c) y > 3
19
MULTIPLE CHOICE
QUESTION #19
Which inequality represents the graph shown?
a) x > 3
b) x > 3
c) y > 3
d) y > 3
a) x > 3
20
MULTIPLE CHOICE
QUESTION #20
If the system 2x ­ y = 5 and x + y = 7 is to be solved by substitution, which expression can be used to replace x in the first equation?
a) 5 ­ y
2
b) 5 + y
2
c) 7 + y
d) 7 ­ y
d) 7 ­ y
21
MULTIPLE CHOICE
QUESTION #21
Which graph shows the solution of the given set of inequalities?
a)
c)
b)
d)
­2x + 3y > 0
y < 2
a)
22
MULTIPLE CHOICE
QUESTION #22
Which system of inequalities is shown in the graph?
)
)
)
)
d)
23
MULTIPLE CHOICE
QUESTION #23
Which graph shows the solution of the given set of inequalities?
a)
c)
b)
d)
y ­ 3x < 0
y > ­1x ­ 1
2
c)
24
QUESTION #24
Solve the following system of equations graphically.
y ­ x = ­2
y ­ 1 = 4x
(­1, ­3)
25
QUESTION #25
The graph of an inequality is shown.
a) Write the inequality represented by the graph.
b) On the same set of axes, graph the inequality ­3x + 3y < 12.
c) The two inequalities graphed on the set of axes form a system. Britney thinks that the point (­1, 3) is in the solution set for this system of inequalities. Determine and state whether you agree with Britney. Explain your reasoning. a) y < ­2x + 1
b) y < x + 4
graph it!
c) No, it is not. MUST explain!
26
QUESTION #26
Ally and Rebeca go to a Yankee game and purchase snacks at the consession stand. Ally spends a total of $33.50 on four hot dogs and two sodas. Rebeca spends a total of $23.25 for two hot dogs and three sodas. a) Write a system of equations that can be used to find the price of one hot dog and the price of one soda.
b) Using these equations, determine and state the price of a hot dog and the price of a soda, to the nearest cent.
a) 4h + 2s = 33.50
2h + 3s = 23.25
b) a hot dog costs $6.75 and a soda costs $3.25
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QUESTION #27
Solve the following question graphically. Show all work and all equations used. (Use a piece of graph paper). Rocco and Connor are brothers. They are each saving money to buy their Mom a special birthday present. Rocco has $35 in his piggy bank and plans to save $20 from his allowance each month. Connor has been saving his money a bit longer, so he has $80 in his bank account. Connor plans to save $15 per month from his part­time job at Dunkin' Donuts. After how many months, x, will they both have the same amount saved up, y, and how much money will each brother contribute to their Mom's special birthday gift?
(9, 215) * this solution must be found graphically
After 9 months, each brother will contribute $215 towards their Mom's birthday gift
28
QUESTION #28
Solve the following system of equations algebraically using SUBSTITUTION.
9x + 2 = y
­3x + y = 5
x = 1, y = 13
2
2
29
QUESTION #29
Solve the following system of equations algebraically using SUBSTITUTION.
6x + 1 = y
­7x + y = 3
(­2, ­11)
30
QUESTION #30
Solve the following system of equations using two methods. Solve it graphically AND solve it algebraically using the ELIMINATION method. Compare the two methods.
2x + 3y = 3
3x + 2y = 12
(6, ­3)
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