Lesson Quizzes
Preview
6-1 Solving Systems by Graphing
6-2 Solving Systems by Substitution
6-3 Solving Systems by Elimination
6-4 Solving Special Systems
6-5 Applying Systems
6-6 Solving Linear Equalities
6-7 Solving Systems of Linear Inequalities
6-1 Solving Systems by Graphing
Lesson Quiz: Part I
Tell whether the ordered pair is a solution of
the given system.
1. (–3, 1);
no
2. (2, –4);
yes
6-1 Solving Systems by Graphing
Lesson Quiz: Part II
Solve the system by graphing.
3.
y + 2x = 9
(2, 5)
y = 4x – 3
4. Joy has 5 collectable stamps and will buy 2
more each month. Ronald has 25 collectable
stamps and will sell 3 each month. After how
many months will they have the same number
of stamps? 4 months How many will that be?
13 stamps
6-2 Solving Systems by Substitution
Lesson Quiz: Part I
Solve each system by substitution.
1.
2.
3.
y = 2x
(–2, –4)
x = 6y – 11
3x – 2y = –1
–3x + y = –1
x–y=4
(1, 2)
6-2 Solving Systems by Substitution
Lesson Quiz: Part II
4. Plumber A charges $60 an hour. Plumber B
charges $40 to visit your home plus $55 for
each hour. For how many hours will the total
cost for each plumber be the same? How much
will that cost be? If a customer thinks they will
need a plumber for 5 hours, which plumber
should the customer hire? Explain.
8 hours; $480; plumber A: plumber A is
cheaper for less than 8 hours.
6-3 Solving Systems by Elimination
Lesson Quiz
Solve each system by elimination.
1.
2x + y = 25
3y = 2x – 13
2.
–3x + 4y = –18
x = –2y – 4
(2, –3)
3.
–2x + 3y = –15
3x + 2y = –23
(–3, –7)
(11, 3)
4. Harlan has $44 to buy 7 pairs of socks. Athletic
socks cost $5 per pair. Dress socks cost $8 per
pair. How many pairs of each can Harlan buy?
4 pairs of athletic socks and 3 pairs of dress socks
6-4 Solving Special Systems
Lesson Quiz: Part I
Solve and classify each system.
1.
y = 5x – 1
5x – y – 1 = 0
infinitely many solutions;
consistent, dependent
2.
y=4+x
–x + y = 1
no solutions; inconsistent
3.
y = 3(x + 1)
y=x–2
consistent,
independent
6-4 Solving Special Systems
Lesson Quiz: Part II
4. If the pattern in the table continues, when will
the sales for Hats Off equal sales for Tops?
never
6-5 Applying Systems
Lesson Quiz: Part I
1. Allyson paddles her canoe 9 miles upstream in
4.5 hours. The return trip downstream takes
her 1.5 hours. What is the rate at which
Allyson paddles in still water? What is the rate
of the current?
4 mi/h, 2mi/h
2. A pharmacist mixes Lotion A, which is 5%
alcohol, with Lotion B, which is 10% alcohol, to
make 50 mL of a new lotion that is 8% alcohol.
How many milliliters of Lotions A and B go into
the mixture?
20 mL of Lotion A and 30 mL of Lotion B.
6-5 Applying Systems
Lesson Quiz: Part II
3. The sum of the digits of a two digit number is
13. When the digits are reversed, the new
number is 9 less than the original number.
What is the original number?
76
Lesson Quiz: Part I
1. You can spend at most
$12.00 for drinks at a picnic.
Iced tea costs $1.50 a
gallon, and lemonade costs
$2.00 per gallon. Write an
inequality to describe the
situation. Graph the
solutions, describe
reasonable solutions, and
then give two possible
combinations of drinks you
could buy.
1.50x + 2.00y ≤ 12.00
6-6 Solving Linear Equalities
Lesson Quiz: Part I
1.50x + 2.00y ≤ 12.00
Only whole number solutions are
reasonable. Possible answer:
(2 gal tea, 3 gal lemonade) and
(4 gal tea, 1 gal lemonde)
6-6 Solving Linear Equalities
Lesson Quiz: Part II
2. Write an inequality to represent the graph.
6-7 Solving Systems of Linear Inequalities
1. Graph
Lesson Quiz: Part I
y<x+2
5x + 2y ≥ 10
Give two ordered pairs that are solutions and
two that are not solutions.
Possible answer:
solutions: (4, 4), (8, 6);
not solutions: (0, 0), (–2, 3)
6-7 Solving Systems of Linear Inequalities
Lesson Quiz: Part II
2. Dee has at most $150 to spend on restocking
dolls and trains at her toy store. Dolls cost $7.50
and trains cost $5.00. Dee needs no more than
10 trains and she needs at least 8 dolls. Show
and describe all possible combinations of dolls
and trains that Dee can buy. List two possible
combinations.
6-7 Solving Systems of Linear Inequalities
Lesson Quiz: Part II Continued
Reasonable answers must
be whole numbers.
Possible answer:
(12 dolls, 6 trains) and
(16 dolls, 4 trains)
Solutions