Practice: Motivation Station
5181
Why Should You Never Say 288 to Anyone?
For each pro...
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Mathematics, 02.09.2021 05:00 lesl26
Practice: Motivation Station
5181
Why Should You Never Say 288 to Anyone?
For each problem, write an equation or inequality that could be used to determine a solution. Find the
equation or inequality in the box, and record its letter in the space next to the problem. When all the
problems have been matched with an equation or inequality, use the letters to fill in the corresponding
blanks and reveal the answer to the title question.
I 누
5 2
2
1
4
NG
1
3
6
1
4
4
1
Betsy considers changing her
music download service. Her current service
offers downloads at $0.99 each with a
monthly fee of $4.95. Betsy receives an
offer from another service that offers a
monthly fee of $6.75 with downloads at
$0.74 each. How many songs, n, will Betsy
need to download for the new service to
cost less than her current service?
4 A video game club charges a
rental fee of $5 per game for nonmembers.
For a $25 annual fee, members rent games
for $3 per game. How many games, n,
does a member need to rent in a year to
make the cost of the membership fee
worth paying?
HE
EQ. Equation/Inequality:
Equation/Inequality:
2 Two containers have leaks.
Container X begins with 80 ounces and
leaks at a rate of 0.6 ounce per minute.
Container Y begins with 100 ounces and
leaks at a rate of 1 ounce per minute. How
many minutes, n, before the containers
have the same number of ounces?
5 At Rock-n-Bowl, shoe rental costs
$2, and each game costs $3.50. At Strikez,
each game costs $3, and shoe rental costs
$4.50. If the same amount of money is
spent at both locations, how many games,
n, are bowled?
Equation/Inequality:
Equation/Inequality:
3 Two candles are lit at exactly 8 P. M.
The 12-inch candle burns 0.5 inch each
hour. The 18-inch candle burns 1.5 inches
every hour. How many hours, n, will the
candles burn before the 18-inch candle is
shorter than the 12-inch candle?
6 Darla makes pies for a fundraiser.
Each pie costs to make, and she spends
$20 on equipment. Darla plans to sell the
pies for $5 each. How many pies, n, must
Darla sell before she at least begins making
a profit?
Equation/Inequality:
Equation/Inequality:
S:
T:
I:
R:
80 - 0.6n = 100 - n
3n + 20 < 5n
0.99n + 4.95 > 0.74 + 6.75
5n <3n - 20
5n > 25 + 3n
3.5n + 2 = 3n + 4.5
12 - 0.5n > 18 - 1.5n
0.99n + 4.95 < 0.74 + 6.75
G:
0:
L:
M:
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Answers: 2
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Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.
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