Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.


1.

Tom
has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding CD a month to his
collection while Nita is adding 5 CDs a month to her collection. Write and graph a system to find the
number of months after which they will have the same number of CDs. Let x represent the number
of months and y the number of CDs. a.  3 months  c.  1 month  b.  2 months  d.  33 months     


2.

Kendra owns a restaurant. She charges $1.50 for 2 eggs and one piece of toast, and
$.90 for one egg and one piece of toast. Write and graph a system of equations to determine how much
she charges for each egg and each piece of toast. Let x represent the number of eggs and
y the number of pieces of toast. a.  $.60 per egg, $.30 for toast  c.  $.30 per egg, $.60 for toast  b.  $.30 per egg, $.60 for toast  d.  $.60 per egg, $.30 for toast     


3.

Find
the value of b that makes the system of equations have the solution (3,
5).
y = 3x – 4
y =
bx + 2



Graph each system. Tell whether the system has no solution, one
solution, or infinitely many solutions.


4.

y = x + 4
y – 4 = x a.  infinitely many
solutions  b.  no solutions  c.  one
solution   


5.

y = 2x – 3
y =
–x + 3 a.  one solution  b.  no
solutions  c.  infinitely many solutions   


6.

y = 5x – 4
y =
5x – 5 a.  no solutions  b.  one
solution  c.  infinitely many solutions   


7.

Use
substitution to solve the following system of equations.
d +
e – f = 11
e = f + d +
5
f = 2e – 12 a.  d = 3,
e = 4, f = –4  c.  d = 4, e = 3, f =
–4  b.  d = 3, e = 4, f =
–4  d.  d =
–4, e = 4, f = 3     


8.

The
length of a rectangle is 2 cm more than four times the width. If the perimeter of the rectangle is 84
cm, what are its dimensions? a.  length = 8 cm; width = 34 cm  c.  length = 30 cm; width = 10 cm  b.  length = 34 cm;
width = 8 cm  d.  length = 34 cm;
width = 10 cm     



Solve the system of equations using substitution.


9.

y = 2x + 3
y =
3x + 1 a.  (–2,
–1)  b.  (–1,
–2)  c.  (2,
7)  d.  (–2,
–5)         


10.

y = 2x – 10
y =
4x – 8 a.  (3, 4)  b.  (–1, –12)  c.  (–4, –17)  d.  (3, –4)         


11.

3y = –x +
2
y = –x + 9 a.  (3, 6)  b.  (20, –4)  c.  (10, –1)  d.  (–1, 8)         


12.

y = 4x + 6
y =
2x a.  (–3,
–6)  b.  (3,
6)  c.  (6,
3)  d.  (1,
2)         


13.

3x + 2y = 7
y =
–3x + 11 a.  (6, –3)  b.  (6, –7)  c.   d.  (5,
–4)         


14.

y = x + 6
y =
–2x – 3 a.  (1, 7)  b.  (–3, 3)  c.   d.  (4,
–11)         


15.

Sharon has some onedollar bills and some fivedollar bills. She has 14 bills. The
value of the bills is $30. Solve a system of equations using elimination to find how many of each
kind of bill she has. a.  4 fivedollar bills, 10 onedollar bills
 c.  5 fivedollar
bills, 5 onedollar bills  b.  3 fivedollar bills, 10 onedollar bills
 d.  5 fivedollar
bills, 9 onedollar bills     



Solve the system using elimination.


16.

6x + 3y = –12
6x +
2y = –4 a.  (10, –16)  b.  (2, –8)  c.  (–2, 8)  d.  (–10, 16)         


17.

3x + y = 11
4x –
y = 17 a.  (–1,
4)  b.  (4,
–1)  c.  (5,
–4)  d.  (1,
4)         


18.

–10x – 3y = –18
–7x
– 8y = 11 a.  (–7, –10)  b.  (–4, 3)  c.  (3, –4)  d.  (2, –1)         


19.

5x = –25 + 5y
10y = 42
+ 2x a.  (–1,
2)  b.  (–1,
4)  c.  (4,
–1)  d.  (5,
10)         


20.

3x – y = 28
3x +
y = 14 a.  (8,
–4)  b.  (–7,
7)  c.  (7,
–7)  d.  (–4,
8)         


21.

By
what number should you multiply the first equation to solve using
elimination?
–3x – 2y = 2
–9x
+ 3y = 24


22.

A jar
containing only nickels and dimes contains a total of 60 coins. The value of all the coins in the jar
is $4.45. Solve by elimination to find the amount of nickels and dimes that are in the
jar. a.  30 nickels and
28 dimes  c.  29 nickels and
31 dimes  b.  31 nickels and 29 dimes  d.  30 nickels and 32 dimes     


23.

You
decide to market your own custom computer software. You must invest $3,255 for computer hardware, and
spend $2.90 to buy and package each disk. If each program sells for $13.75, how many copies must you
sell to break even? a.  196 copies  b.  301 copies  c.  300 copies  d.  195 copies         


24.

An
ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice
skates. John paid the admission fees for his six nephews and rented five pairs of ice skates. He was
charged $32.00. Juanita paid the admission fees for her seven grandchildren and rented five pairs of
ice skates. She was charged $35.25. What is the admission fee? What is the rental fee for a pair of
skates? a.  admission fee:
$3.25
skate rental fee: $2.50  c.  admission fee: $3.00
skate rental
fee: $2.00  b.  admission fee: $3.50
skate rental
fee: $3.00  d.  admission fee:
$4.00
skate rental fee: $3.50     


25.

Mike
and Kim invest $14,000 in equipment to print yearbooks for schools. Each yearbook costs $7 to print
and sells for $35. How many yearbooks must they sell before their business breaks
even?


26.

At
the local ballpark, the team charges $5 for each ticket and expects to make $1,400 in concessions.
The team must pay its players $2,000 and pay all other workers $1,600. Each fan gets a free bat that
costs the team $3 per bat. How many tickets must be sold to break even?
