Deck 8: A Transition

Question 1

Is the ordered triple a solution to the given system of equations?

Answer 1

C

Question 2

Is the ordered triple a solution to the given system of equations?
3x + 2y + z = -17 4x - 5y - z = 25
2x + y + 2z = -15

A) (-4 -5 -1)
B) (-4 -1 -5)
C) (-1 -5 -4)
D) (-1 -4 -5)

Answer 2

C

Question 3

SOLVE

Answer 3

C

Question 4

Solve using a system of two equations in two unknowns.
A retired couple has $150,000 to invest to obtain annual income. They want some of it invested in safe Certificates of Deposit yielding 6%. The rest they want to invest in AA bonds yielding 12% per
Year. How much should they invest in each to realize exactly $15,000 per year?

A) $100,000 at 6% and $50,000 at 12%
B) $90,000 at 6% and $60,000 at 12%
C) $100,000 at 12% and $50,000 at 6%
D) $110,000 at 12% and $40,000 at 6%

Question 5

Solve using a system of two equations in two unknowns.

Question 6

Solve using a system of two equations in two unknowns.
Aviva has 67 dimes and nickels. The total value of the coins is $5.55. Find the number of each type of coin.

A) 44 nickels and 23 dimes
B) 23 nickels and 44 dimes
C) 25 nickels and 42 dimes
D) 28 nickels and 39 dimes

Question 7

SOLVE

Question 8

SOLVE

Question 9

Is the ordered triple a solution to the given system of equations?

Question 10

Is the ordered triple a solution to the given system of equations?

Question 11

Is the ordered triple a solution to the given system of equations?

Question 12

Is the ordered triple a solution to the given system of equations?

Question 13

Is the ordered triple a solution to the given system of equations?

Question 14

Is the ordered triple a solution to the given system of equations?

Question 15

Is the ordered triple a solution to the given system of equations?
7x + 7y + z = 1 x + 8y + 8z = 8
9x + y + 9z = 9

A) (-1, 1, 1)
B) (0, 1, 0)
C) (0, 0, 1)
D) (1, -1, 1)

Question 16

SOLVE

Question 17

Is the ordered triple a solution to the given system of equations?

Question 18

Solve using a system of two equations in two unknowns.
A vendor sells hot dogs and bags of potato chips. A customer buys 2 hot dogs and 2 bags of potato chips for $3.50. Another customer buys 3 hot dogs and 5 bags of potato chips for $6.75. Find the
Cost of each item.

A) $1.00 for a hot dog; $0.75 for a bag of potato chips
B) $0.75 for a hot dog; $1.00 for a bag of potato chips
C) $1.00 for a hot dog; $1.00 for a bag of potato chips
D) $1.25 for a hot dog; $1.00 for a bag of potato chips

Question 19

Is the ordered triple a solution to the given system of equations?

Question 20

Is the ordered triple a solution to the given system of equations?
5x + 2y + z = -11 2x - 3y - z = 17
7x + y + 2z = -4

A) (-3, 0, 4)
B) (0, 6, -1)
C) (0, -6, 1)
D) (3, 0, -4)

Question 21

Solve.

Question 22

Solve.

Question 23

Solve.
Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total income from all 3 investments is $1600. The income from the 5% and 6% investments is
The same as the income from the 8% investment. Find the amount invested at each rate.

A) At 5%: $10,000; at 6%: $5000; at 8%: $10,000
B) At 5%: $8000; at 6%: $10,000; at 8%: $7000
C) At 5%: $10,000; at 6%: $10,000; at 8%: $5000
D) At 5%: $5000; at 6%: $10,000; at 8%: $10,000

Question 24

Solve.

Question 25

Solve.

Question 26

Solve.
A basketball fieldhouse seats 15,000. Courtside seats sell for $10

A) 4000 courtside; 3000 endzone; 8000 balcony
B) 3000 courtside; 3000 endzone; 8,000 balcony
C) 3000 courtside; 2000 endzone; 10,000 balcony
D) 3200 courtside; 1800 endzone; 10,000 balcony

Question 27

Solve.

Question 28

Solve.

Question 29

Solve using a system of two equations in two unknowns.
The manager of a bulk foods establishment sells a trail mix for $7 per pound and premium cashews for $15 per pound. The manager wishes to make a 120-pound trail mix-cashew mixture
That will sell for $9 per pound. How many pounds of each should be used?

A) 75 lb of trail mix, 45 lb of cashews
B) 60 lb of trail mix, 60 lb of cashews
C) 30 lb of trail mix, 90 lb of cashews
D) 90 lb of trail mix, 30 lb of cashews

Question 30

Solve.

Question 31

Solve using a system of two equations in two unknowns.
A chemist needs 100 milliliters of a 70% solution but has only 66% and 86% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.

A) 90 milliliters of 66%; 30 milliliters of 86%
B) 90 milliliters of 66%; 20 milliliters of 86%
C) 80 milliliters of 66%; 20 milliliters of 86%
D) 20 milliliters of 66%; 80 milliliters of 86%

Question 32

Solve.

Question 33

Solve.

Question 34

Solve.

Question 35

Solve.
Michaelʹs bank contains only nickels, dimes, and quarters. There are 59 coins in all, valued at $4.75. The number of nickels is 1 short of being three times the sum of the number of dimes and quarters
Together. How many dimes are in the bank?

A) 44
B) 7
C) 8
D) 13

Question 36

Solve.
Michaelʹs bank contains only nickels, dimes, and quarters. There are 54 coins in all, valued at $4.30. The number of nickels is 2 short of being three times the sum of the number of dimes and quarters
Together. How many dimes are in the bank?

A) 6
B) 40
C) 8
D) 13

Question 37

Solve using a system of two equations in two unknowns.
Dmitri needs 5 liters of a 7% solution of sulfuric acid for a research project in molecular biology. He has two unlimited supplies of sulfuric acid solution: 5% solution and 10% solution. How many
Liters of each solution should Dmitri use?

A) 5% solution: 3.5 L, 10% solution: 1.5 LB)5% solution: 3 L, 10% solution: 2 L
C) 5% solution: 2.5 L, 10% solution: 2.5 LD)5% solution: 2 L, 10% solution: 3 L