Deck 15: Systems of Equations

Question 1

A business pays 9.00% tax on income from New York and 6% tax on income from New Jersey.The total tax paid is $958.95, and the total income is $12292.Round your answers to the nearest cent. ​
How much income came from each state?
​

A) $7384.00 from New York and $4908.00 from New Jersey
B) $7381.00 from New York and $4911.00 from New Jersey
C) $4908.00 from New York and $7384.00 from New Jersey
D) $4911.00 from New York and $7381.00 from New Jersey

Answer 1

$7381.00 from New York and $4911.00 from New Jersey

Question 2

Solve the system of equations ​ Round your answers to two decimal places.
​

A) and
B) and
C) and
D) and

Answer 2

and

Question 3

Solve the equation for y.Round your answers to two decimal places, if necessary. ​

A) or
B) or
C) or
D) None of the above.

Answer 3

or

Question 4

Solve the equation for ​y.Round your answers to two decimal places, if necessary. ​

A) or
B) or
C) or
D) None of the above.

Question 5

We have $32.58 to spend on citrus.Lemons cost $0.73 each, and limes cost $0.69 each.We need a total of 46 pieces of citrus.Round your answers to two decimal places. ​
How many of each are bought?
​

A) 20.00 lemons and 26.00 limes
B) 25.00 lemons and 21.00 limes
C) 21.00 lemons and 25.00 limes
D) 26.00 lemons and 20.00 limes

Question 6

There is no solution of a system of two linear equations in two unknowns if the graphs of the equations are parallel lines.

Question 7

Solve the system of equations ​ Round your answers to two decimal places.
​

A) and
B) and
C) and
D) and

Question 8

It is never possible to solve a system of three equations in three unknowns.

Question 9

Solve the equation for ​y.Round your answers to two decimal places, if necessary. ​

A) or
B) or
C) or
D) None of the above.

Question 10

Solve the equation for ​y.Round your answers to two decimal places, if necessary. ​

A) or
B) or
C) or
D) None of the above.

Question 11

We have $16.12 to spend on vegetable plants for our garden.Tomato plants cost $0.88 each, and pepper plants cost $0.36 each.There is space in the garden for 26 plants.Round your answers to two decimal places. ​
How many of each are bought?
​

A) 10.00 tomatoes and 16.00 peppers
B) 13.00 tomatoes and 16.00 peppers
C) 16.00 tomatoes and 10.00 peppers
D) 13.00 tomatoes and 13.00 peppers

Question 12

A group of 40 parents and children plan to go to the zoo.For safety, there must be one parent for each 4.00 children.Round your answers to two decimal places. ​
How many parents and how many children go to the zoo?
​
​

A) 10.00 parents and 40.00 children
B) 8.00 parents and 32.00 children
C) 40.00 parents and 10.00 children
D) 32.00 parents and 8.00 children

Question 13

A system of two linear equations in two unknowns can be solved graphically.

Question 14

If the lines determined by two linear equations meet, then the crossing point corresponds to the solution of the system of two linear equations in two unknowns.

Question 15

We have $55.71 to spend on drinks and chips.Drinks cost $0.74 each and chips cost $2.49 per bag.There are 5.00 times as many drinks as bags of chips.How many of each are bought? Round your answers to two decimal places. ​

A) 60.00 drinks and 12.00 bags of chips
B) 9.00 drinks and 45.00 bags of chips
C) 45.00 drinks and 9.00 bags of chips
D) None of the above

Question 16

Solve the equation for y.Round your answers to two decimal places, if necessary. ​

A) or
B) or
C) or
D) None of the above.

Question 17

Solve the system of equations ​ Round your answers to two decimal places.
​

A) and
B) and
C) and
D) and

Question 18

Solve the equation for ​y.Round your answers to two decimal places, if necessary. ​

A) or
B) or
C) or
D) None of the above.

Question 19

After returning from a trip to Mexico you find that you have several dollars and several pesos in your pocket.Each peso has a value of $0.17.There are a total of 85 items, and they have a total value of $24.41.Round your answers to two decimal places. ​
How many dollars and how many pesos are in your pocket?
​​

A) 9.00 dollars and 76.00 pesos
B) 73.00 dollars and 12.00 pesos
C) 76.00 dollars and 9.00 pesos
D) 12.00 dollars and 73.00 pesos

Question 20

Solve the equation for ​y.Round your answers to two decimal places, if necessary. ​

A) or
B) or
C) or
D) None of the above.

Question 21

Solve the following system of equations. ​
Round your answers to two decimal places.

Question 22

Solve the following system of equations.Round your answers to two decimal places.

Question 23

Solve the following system of equations. Round your answers to two decimal places.

Question 24

Solve the following system of equations.Round your answers to two decimal places.

Question 25

Solve the following system of equations by graphing.Round your answers to two decimal places.

Question 26

Solve the equation for y.Round your answers to two decimal places, if necessary. ​

A) or
B) or
C) or
D) None of the above.

Question 27

Type A grain containing 31.00% fiber is mixed with type B grain containing 6% fiber to make 556 pounds of feed.The resulting mixture is to contain 90.86 pounds of fiber.Round your answers to two decimal places. ​
How much of each type of grain goes in the mixture?
​

A) 260.00 pounds of type A and 296.00 pounds of type B
B) 230.00 pounds of type A and 326.00 pounds of type B
C) 296.00 pounds of type A and 260.00 pounds of type B
D) 326.00 pounds of type A and 230.00 pounds of type B

Question 28

Solve the following system of equations.Round your answers to two decimal places.

Question 29

Solve the equation for ​y.Round your answers to two decimal places. ​

A)
B)
C)
D) None of the above.

Question 30

Solve the following system of equations.Round your answers to two decimal places.

Question 31

Solve the following system of equations by graphing.Round your answers to two decimal places.

Question 32

Solve the following system of equations.Round your answers to two decimal places.

Question 33

Solve the following system of equations by graphing.Round your answers to two decimal places, if necessary.

Question 34

Solve the following system of equations.Round your answers to two decimal places.

Question 35

Solve the following system of equations. ​
Round your answers to two decimal places.

Question 36

Solve the following system of equations by graphing. ​
Round your answers to two decimal places.

Question 37

Solve the following system of equations by graphing.Round your answers to two decimal places.

Question 38

Solve the following system of equations.Round your answers to two decimal places.

Question 39

Solve the following system of equations. ​
Round your answers to two decimal places.

Question 40

Solve the following system of equations by graphing.Round your answers to two decimal places, if necessary.