Name: _______________________________ Date: __________________
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Chapter 5 Study Guide
Direction: Find the solution to each system.
Remember: **If they are both equal to y, then they are equal to each other**
1).
y = 4x + 6
2).
y = -2x + 12
3).
y = -x
y = 2x – 15
y=x+2
y = 4x + 5
4).
3
y = − 4x + 4
1
y = 4x - 8
Name: _______________________________ Date: __________________
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Chapter 5 Study Guide
Direction: Solve each system by substitution.
Remember: **Use Parenthesis, Watch the signs**
1).
6x - 5y = 22
2).
y= -8
3).
y = 6x – 11
-2x – 3y = -7
-3x – y = -24
y= 3x
4).
-3x – 3y = 3
y= -5x – 17
5).
y= -2
6).
4x – 3y = 18
7).
-3x – 8y = 20
-5x + y = 19
-7x – 2y = -13
x – 2y = 11
8).
-3x + 3y = 4
-x + y = 3
Name: _______________________________ Date: __________________
Pd: _________
Chapter 5 Study Guide
Direction: Solve each system by elimination.
Remember: **Look for Opposites – If there a no opposites, make them! **
**Use Parenthesis, Watch the signs**
1).
-4x – 2y = -12
2).
4x + 8y = -24
3).
-2x – 9y = -25
-4x – 9y = -23
x – y = 11
2x + y = 19
4).
-6x + 6y = 6
-6x + 3y = -12
5).
-7x – 8y = 9
6).
-4x + 9y = -22
7).
5x + 4y = -14
3x + 6y = 6
-4x – 2y = 14
-10x + 7y = -25
8).
-14 = -20y -7x
10y +4 = 2x
Name: _______________________________ Date: __________________
Chapter 5 Study Guide
𝑅𝑖𝑠𝑒
Direction: Solve each system by graphing.
𝑅𝑢𝑛
Remember: **Check your solutions**
Pd: _________
Negative Slope
Positive Slope
Zero Slope
Undefined Slope
1).
𝑦=
1
𝑥
3
−4
2).
7
𝑦 = −3𝑥 + 4
3).
2
𝑦 = −3𝑥 − 3
2
𝑦 = −3𝑥 + 4
𝑦 = −7𝑥 − 3
𝑦=4
4).
𝑦=
5
𝑥
2
−4
𝑦 = −𝑥 + 3
Name: _______________________________ Date: __________________
Pd: _________
Chapter 5 Study Guide
Direction: Solve each word problem.
1).
Kristin spent $131 on shirts. Fancy shorts cost $28 and plain shirts cost $15. If she bought a
total of 7 then how many of each kind did she buy?
2).
There are 13 animals in the barn. Some are chicken and some are pigs. There are 40 legs in
all. How many of each animal are there?
3).
A farmhouse shelters 10 animals. Some are pigs are some are ducks. Altogether there are 36
necks. How many of each animal are there?
4).
A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses.
Find the number of cars and the number of buses they took of each car hold 5 students and each bus
holds 45 students.
5).
At Elisa’s Printing Company LLC there are two kinds of printing presses: Model A which can
print 70 books per day and Model B which can print 55 books per day. The company owns 14 total
printing presses and this allows them to print 905 books per day. How many of each type of press do
they have?
6).
Molly’s Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to
buy the supplies to make a fork and $1.30 to buy supplies to make a spoon. The store sells forks for
$5.60 and spoons for $5.40. Last April, Molly’s Custom Kitchen Supplies spent $37.90 on materials for
forks and spoons. The sold the finished products for a total of $147.20. How many forks and how
many spoons did they make last April?
Name: _______________________________ Date: __________________
Chapter 5 Study Guide
Use this page to show your work!
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