Download MATH PLUS NAME: LINEAR EQUATIONS Solve the following

MATH PLUS
NAME:
LINEAR EQUATIONS
Solve the following equations
1)
3𝑥 − 9 = 24
2)
−5𝑥 − 8 = 2(𝑥 + 10)
3)
4𝑥 + 8(𝑥 + 1) = 3(3𝑥 − 1) + 44
4)
2𝑝−30
3
=2
Discuss Properties (Distributive property, addition property of equality, subtraction
property of equality, multiplication property of equality, division property of equality)
5. The Bridgeport water department has a monthly service charge of $12.90 and a
volume charge of $2.23 for every 100 cubic feet of water. Write the equation that can
be used to determine the Morgan family’s monthly water bill. Let y represent the
monthly bill and x represent the number of 100 cubic feet the Morgan family uses.
6. Cassidy is going to the county fair with her friends but can only stay at the fair for 3
hours. The fair offers two different pricing structures. Cassidy can purchase an all-day
pass with unlimited rides for $45.00 or she can pay an admission fee of $9.00 and pay
$4.00 for each ride. If Cassidy rides 13 rides, how much does she save by buying the
all-day pass?
7. Mike discovered that the pool in his backyard is leaking slowly. The pool holds
18,461 gallons of water, and is leaking at a rate of 20 gallons per day. If Mike does not
replace the water that has leaked from the pool, how many gallons of water will remain
in the pool after 35 days?
8. Jane spent $10 at the ice cream truck. She bought x ice cream cones and y
sundaes. The equation below shows the relationship between the number of ice
cream cones and the number of sundaes she bought.
3x + 4y = 10
The ordered pair (2,1) is a solution of the equation. What does the solution (2,1)
represent?
Linear Equations – study island
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