## Question 1
(5 points)
Dylan has 15 marbles. Some are red and some are white. The
number of red marbles is three more than six times the number of
the white marbles. Write a system of equations that can be used to
find the number of white marbles,
*x*, and the number of red marbles,
*y*.

## Question 2
(5 points)
*Use substitution to solve the system of equations.*

*y*= 2
*x*+ 16
2
*x*– 7
*y*= –64

## Question 3
(5 points)
*Determine the best method to solve the system of equations.
Then solve the system.*

## Question 4
(5 points)
A hotel has 150 rooms. The charges for a double room and a
single room are $270 per night and $150 per night respectively. On
a night when the hotel was completely occupied, revenues were
$33,300. Which pair of equations can be used to determine the
number of double room,
*d*, and the number of single room,
*s*, in the hotel?

## Question 5
(5 points)
*Use elimination to solve the system of equations.*

–9
*x*– 2
*y*= –115
–6
*x*+ 2
*y*= –110

## Question 6
(5 points)
One line segment is 5 cm more than 4 times the length of
another. The difference in their lengths is 35 cm. How long are
they?

## Question 7
(5 points)
*Use the graph below to determine the number of solutions the
system has.
*

## Question 8
(5 points)
The sum of Jack and his father’s ages is 52. Jack’s father’s age
is 2 less than 5 times Jack’s age. Find the ages of Jack and his
father.

## Question 9
(5 points)
Amber and Austin were driving the same route from college to
their home town. Amber left 2 hours before Austin. Amber drove at
an average speed of 55 mph, and Austin averaged 75 mph per hour.
After how many hours did Austin catch up with Amber?

## Question 10
(5 points)
*Solve the system of inequalities by graphing.*

## Question 11
(5 points)
*Graph the system of equations. Then determine whether the
system has*no
*solution,*one
*solution, or*infinitely many
*solutions. If the system has one solution, name it.*

## Question 12
(5 points)
*Determine the best method to solve the system of equations.
Then solve the system.*

## Question 13
(5 points)
The cost of 3 large candles and 5 small candles is $6.40. The
cost of 4 large candles and 6 small candles is $7.50. Which pair of
equations can be used to determine,
*t*, the cost of a large candle, and
*s*, the cost of a small candle?

## Question 14
(5 points)
Angle
*A*and angle
*B*are complementary, that is their measurements add up to
90°. Angle
*B*measures 32° more than angle
*A*. What are the measurements of the two angles?

## Question 15
(5 points)
Jordan is 3 years less than twice the age of his cousin. If
their ages total 48, how old is Jordan?

## Question 16
(5 points)
*Use substitution to solve the system of equations.*

18 =
*x*– 3
*y*
2
*x*+ 19 = –5
*y*

## Question 17
(5 points)
The sum of two numbers is 90. Their difference is 12. What are
the numbers?

## Question 18
(5 points)
The admission fee of a theater is $2.50 for adults and $1.25 for
children. On a certain day, 700 people went to the theater for a
concert and $1,375 was collected. How many children and how many
adults attended the concert?

## Question 19
(5 points)
*Solve the system of inequalities by graphing.*

## Question 20
(5 points)
*Use the graph below to determine the number of solutions the
system has.
*

*x*, and the number of red marbles,

*y*.

*Use substitution to solve the system of equations.*

*y*= 2

*x*+ 16

2
*x*– 7
*y*= –64

## Question 3
(5 points)
*Determine the best method to solve the system of equations.
Then solve the system.*

## Question 4
(5 points)
A hotel has 150 rooms. The charges for a double room and a
single room are $270 per night and $150 per night respectively. On
a night when the hotel was completely occupied, revenues were
$33,300. Which pair of equations can be used to determine the
number of double room,
*d*, and the number of single room,
*s*, in the hotel?

## Question 5
(5 points)
*Use elimination to solve the system of equations.*

–9
*x*– 2
*y*= –115
–6
*x*+ 2
*y*= –110

## Question 6
(5 points)
One line segment is 5 cm more than 4 times the length of
another. The difference in their lengths is 35 cm. How long are
they?

## Question 7
(5 points)
*Use the graph below to determine the number of solutions the
system has.
*

## Question 8
(5 points)
The sum of Jack and his father’s ages is 52. Jack’s father’s age
is 2 less than 5 times Jack’s age. Find the ages of Jack and his
father.

## Question 9
(5 points)
Amber and Austin were driving the same route from college to
their home town. Amber left 2 hours before Austin. Amber drove at
an average speed of 55 mph, and Austin averaged 75 mph per hour.
After how many hours did Austin catch up with Amber?

## Question 10
(5 points)
*Solve the system of inequalities by graphing.*

## Question 11
(5 points)
*Graph the system of equations. Then determine whether the
system has*no
*solution,*one
*solution, or*infinitely many
*solutions. If the system has one solution, name it.*

## Question 12
(5 points)
*Determine the best method to solve the system of equations.
Then solve the system.*

## Question 13
(5 points)
The cost of 3 large candles and 5 small candles is $6.40. The
cost of 4 large candles and 6 small candles is $7.50. Which pair of
equations can be used to determine,
*t*, the cost of a large candle, and
*s*, the cost of a small candle?

## Question 14
(5 points)
Angle
*A*and angle
*B*are complementary, that is their measurements add up to
90°. Angle
*B*measures 32° more than angle
*A*. What are the measurements of the two angles?

## Question 15
(5 points)
Jordan is 3 years less than twice the age of his cousin. If
their ages total 48, how old is Jordan?

## Question 16
(5 points)
*Use substitution to solve the system of equations.*

18 =
*x*– 3
*y*
2
*x*+ 19 = –5
*y*

## Question 17
(5 points)
The sum of two numbers is 90. Their difference is 12. What are
the numbers?

## Question 18
(5 points)
The admission fee of a theater is $2.50 for adults and $1.25 for
children. On a certain day, 700 people went to the theater for a
concert and $1,375 was collected. How many children and how many
adults attended the concert?

## Question 19
(5 points)
*Solve the system of inequalities by graphing.*

## Question 20
(5 points)
*Use the graph below to determine the number of solutions the
system has.
*

*Determine the best method to solve the system of equations. Then solve the system.*

A hotel has 150 rooms. The charges for a double room and a
single room are $270 per night and $150 per night respectively. On
a night when the hotel was completely occupied, revenues were
$33,300. Which pair of equations can be used to determine the
number of double room,
*d*, and the number of single room,
*s*, in the hotel?

## Question 5
(5 points)
*Use elimination to solve the system of equations.*

–9
*x*– 2
*y*= –115
–6
*x*+ 2
*y*= –110

## Question 6
(5 points)
One line segment is 5 cm more than 4 times the length of
another. The difference in their lengths is 35 cm. How long are
they?

## Question 7
(5 points)
*Use the graph below to determine the number of solutions the
system has.
*

## Question 8
(5 points)
The sum of Jack and his father’s ages is 52. Jack’s father’s age
is 2 less than 5 times Jack’s age. Find the ages of Jack and his
father.

## Question 9
(5 points)
Amber and Austin were driving the same route from college to
their home town. Amber left 2 hours before Austin. Amber drove at
an average speed of 55 mph, and Austin averaged 75 mph per hour.
After how many hours did Austin catch up with Amber?

## Question 10
(5 points)
*Solve the system of inequalities by graphing.*

## Question 11
(5 points)
*Graph the system of equations. Then determine whether the
system has*no
*solution,*one
*solution, or*infinitely many
*solutions. If the system has one solution, name it.*

## Question 12
(5 points)
*Determine the best method to solve the system of equations.
Then solve the system.*

## Question 13
(5 points)
The cost of 3 large candles and 5 small candles is $6.40. The
cost of 4 large candles and 6 small candles is $7.50. Which pair of
equations can be used to determine,
*t*, the cost of a large candle, and
*s*, the cost of a small candle?

## Question 14
(5 points)
Angle
*A*and angle
*B*are complementary, that is their measurements add up to
90°. Angle
*B*measures 32° more than angle
*A*. What are the measurements of the two angles?

## Question 15
(5 points)
Jordan is 3 years less than twice the age of his cousin. If
their ages total 48, how old is Jordan?

## Question 16
(5 points)
*Use substitution to solve the system of equations.*

18 =
*x*– 3
*y*
2
*x*+ 19 = –5
*y*

## Question 17
(5 points)
The sum of two numbers is 90. Their difference is 12. What are
the numbers?

## Question 18
(5 points)
The admission fee of a theater is $2.50 for adults and $1.25 for
children. On a certain day, 700 people went to the theater for a
concert and $1,375 was collected. How many children and how many
adults attended the concert?

## Question 19
(5 points)
*Solve the system of inequalities by graphing.*

## Question 20
(5 points)
*Use the graph below to determine the number of solutions the
system has.
*

*Use elimination to solve the system of equations.*

*x*+ 2

*y*= –110

One line segment is 5 cm more than 4 times the length of another. The difference in their lengths is 35 cm. How long are they?

## Question 7
(5 points)
*Use the graph below to determine the number of solutions the
system has.
*

## Question 8
(5 points)
The sum of Jack and his father’s ages is 52. Jack’s father’s age
is 2 less than 5 times Jack’s age. Find the ages of Jack and his
father.

## Question 9
(5 points)
Amber and Austin were driving the same route from college to
their home town. Amber left 2 hours before Austin. Amber drove at
an average speed of 55 mph, and Austin averaged 75 mph per hour.
After how many hours did Austin catch up with Amber?

## Question 10
(5 points)
*Solve the system of inequalities by graphing.*

## Question 11
(5 points)
*Graph the system of equations. Then determine whether the
system has*no
*solution,*one
*solution, or*infinitely many
*solutions. If the system has one solution, name it.*

## Question 12
(5 points)
*Determine the best method to solve the system of equations.
Then solve the system.*

## Question 13
(5 points)
The cost of 3 large candles and 5 small candles is $6.40. The
cost of 4 large candles and 6 small candles is $7.50. Which pair of
equations can be used to determine,
*t*, the cost of a large candle, and
*s*, the cost of a small candle?

## Question 14
(5 points)
Angle
*A*and angle
*B*are complementary, that is their measurements add up to
90°. Angle
*B*measures 32° more than angle
*A*. What are the measurements of the two angles?

## Question 15
(5 points)
Jordan is 3 years less than twice the age of his cousin. If
their ages total 48, how old is Jordan?

## Question 16
(5 points)
*Use substitution to solve the system of equations.*

18 =
*x*– 3
*y*
2
*x*+ 19 = –5
*y*

## Question 17
(5 points)
The sum of two numbers is 90. Their difference is 12. What are
the numbers?

## Question 18
(5 points)
The admission fee of a theater is $2.50 for adults and $1.25 for
children. On a certain day, 700 people went to the theater for a
concert and $1,375 was collected. How many children and how many
adults attended the concert?

## Question 19
(5 points)
*Solve the system of inequalities by graphing.*

## Question 20
(5 points)
*Use the graph below to determine the number of solutions the
system has.
*

*Use the graph below to determine the number of solutions the system has.*

The sum of Jack and his father’s ages is 52. Jack’s father’s age is 2 less than 5 times Jack’s age. Find the ages of Jack and his father.

## Question 9
(5 points)
Amber and Austin were driving the same route from college to
their home town. Amber left 2 hours before Austin. Amber drove at
an average speed of 55 mph, and Austin averaged 75 mph per hour.
After how many hours did Austin catch up with Amber?

## Question 10
(5 points)
*Solve the system of inequalities by graphing.*

## Question 11
(5 points)
*Graph the system of equations. Then determine whether the
system has*no
*solution,*one
*solution, or*infinitely many
*solutions. If the system has one solution, name it.*

## Question 12
(5 points)
*Determine the best method to solve the system of equations.
Then solve the system.*

## Question 13
(5 points)
The cost of 3 large candles and 5 small candles is $6.40. The
cost of 4 large candles and 6 small candles is $7.50. Which pair of
equations can be used to determine,
*t*, the cost of a large candle, and
*s*, the cost of a small candle?

## Question 14
(5 points)
Angle
*A*and angle
*B*are complementary, that is their measurements add up to
90°. Angle
*B*measures 32° more than angle
*A*. What are the measurements of the two angles?

## Question 15
(5 points)
Jordan is 3 years less than twice the age of his cousin. If
their ages total 48, how old is Jordan?

## Question 16
(5 points)
*Use substitution to solve the system of equations.*

18 =
*x*– 3
*y*
2
*x*+ 19 = –5
*y*

## Question 17
(5 points)
The sum of two numbers is 90. Their difference is 12. What are
the numbers?

## Question 18
(5 points)
The admission fee of a theater is $2.50 for adults and $1.25 for
children. On a certain day, 700 people went to the theater for a
concert and $1,375 was collected. How many children and how many
adults attended the concert?

## Question 19
(5 points)
*Solve the system of inequalities by graphing.*

## Question 20
(5 points)
*Use the graph below to determine the number of solutions the
system has.
*

*Solve the system of inequalities by graphing.*

## Question 11
(5 points)
*Graph the system of equations. Then determine whether the
system has*no
*solution,*one
*solution, or*infinitely many
*solutions. If the system has one solution, name it.*

## Question 12
(5 points)
*Determine the best method to solve the system of equations.
Then solve the system.*

## Question 13
(5 points)
The cost of 3 large candles and 5 small candles is $6.40. The
cost of 4 large candles and 6 small candles is $7.50. Which pair of
equations can be used to determine,
*t*, the cost of a large candle, and
*s*, the cost of a small candle?

## Question 14
(5 points)
Angle
*A*and angle
*B*are complementary, that is their measurements add up to
90°. Angle
*B*measures 32° more than angle
*A*. What are the measurements of the two angles?

## Question 15
(5 points)
Jordan is 3 years less than twice the age of his cousin. If
their ages total 48, how old is Jordan?

## Question 16
(5 points)
*Use substitution to solve the system of equations.*

18 =
*x*– 3
*y*
2
*x*+ 19 = –5
*y*

## Question 17
(5 points)
The sum of two numbers is 90. Their difference is 12. What are
the numbers?

## Question 18
(5 points)
The admission fee of a theater is $2.50 for adults and $1.25 for
children. On a certain day, 700 people went to the theater for a
concert and $1,375 was collected. How many children and how many
adults attended the concert?

## Question 19
(5 points)
*Solve the system of inequalities by graphing.*

## Question 20
(5 points)
*Use the graph below to determine the number of solutions the
system has.
*

*Graph the system of equations. Then determine whether the system has*no

*solution,*one

*solution, or*infinitely many

*solutions. If the system has one solution, name it.*

*Determine the best method to solve the system of equations.
Then solve the system.*

## Question 13
(5 points)
The cost of 3 large candles and 5 small candles is $6.40. The
cost of 4 large candles and 6 small candles is $7.50. Which pair of
equations can be used to determine,
*t*, the cost of a large candle, and
*s*, the cost of a small candle?

## Question 14
(5 points)
Angle
*A*and angle
*B*are complementary, that is their measurements add up to
90°. Angle
*B*measures 32° more than angle
*A*. What are the measurements of the two angles?

## Question 15
(5 points)
Jordan is 3 years less than twice the age of his cousin. If
their ages total 48, how old is Jordan?

## Question 16
(5 points)
*Use substitution to solve the system of equations.*

18 =
*x*– 3
*y*
2
*x*+ 19 = –5
*y*

## Question 17
(5 points)
The sum of two numbers is 90. Their difference is 12. What are
the numbers?

## Question 18
(5 points)
The admission fee of a theater is $2.50 for adults and $1.25 for
children. On a certain day, 700 people went to the theater for a
concert and $1,375 was collected. How many children and how many
adults attended the concert?

## Question 19
(5 points)
*Solve the system of inequalities by graphing.*

## Question 20
(5 points)
*Use the graph below to determine the number of solutions the
system has.
*

*t*, the cost of a large candle, and

*s*, the cost of a small candle?

Angle
*A*and angle
*B*are complementary, that is their measurements add up to
90°. Angle
*B*measures 32° more than angle
*A*. What are the measurements of the two angles?

## Question 15
(5 points)
Jordan is 3 years less than twice the age of his cousin. If
their ages total 48, how old is Jordan?

## Question 16
(5 points)
*Use substitution to solve the system of equations.*

18 =
*x*– 3
*y*
2
*x*+ 19 = –5
*y*

## Question 17
(5 points)
The sum of two numbers is 90. Their difference is 12. What are
the numbers?

## Question 18
(5 points)
The admission fee of a theater is $2.50 for adults and $1.25 for
children. On a certain day, 700 people went to the theater for a
concert and $1,375 was collected. How many children and how many
adults attended the concert?

## Question 19
(5 points)
*Solve the system of inequalities by graphing.*

## Question 20
(5 points)
*Use the graph below to determine the number of solutions the
system has.
*

*Use substitution to solve the system of equations.*

18 =

*x*– 3

*y*

2
*x*+ 19 = –5
*y*

## Question 17
(5 points)
The sum of two numbers is 90. Their difference is 12. What are
the numbers?

## Question 18
(5 points)
The admission fee of a theater is $2.50 for adults and $1.25 for
children. On a certain day, 700 people went to the theater for a
concert and $1,375 was collected. How many children and how many
adults attended the concert?

## Question 19
(5 points)
*Solve the system of inequalities by graphing.*

## Question 20
(5 points)
*Use the graph below to determine the number of solutions the
system has.
*

The admission fee of a theater is $2.50 for adults and $1.25 for children. On a certain day, 700 people went to the theater for a concert and $1,375 was collected. How many children and how many adults attended the concert?

## Question 19
(5 points)
*Solve the system of inequalities by graphing.*

## Question 20
(5 points)
*Use the graph below to determine the number of solutions the
system has.
*

*Solve the system of inequalities by graphing.*

*Use the graph below to determine the number of solutions the
system has.
*

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