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Translate
each of the following into an equation and solve if asked.
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1. |
Using the variable x to represent a number,
write an algebraic equation for:
"twice a number increased by four equals
18". |
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2. |
Using the variable x to represent a number,
write an inequality for:
"three times a number decreased by four is at least
fives time a number". |
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3. |
A
formula about triangles defines a quantity s to
be equal to one-half the sum of the three sides (a, b
and c) of a triangle.
Write this formula in mathematical notation.
Solve the formula for a when s = 6, b
= 4 and c = 5.
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4. |
A student
receives $10 a week for lunch in school. The
cafeteria charges $1.60 for a plate lunch.
Write an equation to help the student calculate the
amount of money, m, left after d days,
assuming the student purchases the plate lunch each
day.
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5. |
A recipe calls
for 1/2 cup of chocolate chips. Write a
equation to determine the number of cups, c,
of chocolate chips needed to make the recipe n
times.
Find the number of cups of chips needed to double
the recipe.
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6. |
The formula,
f, for finding the number of stars in a quilt
is the number of rows, r, times the number of
columns, c. Write a formula in
mathematical notation for finding the number of
stars.
If there are 250 stars and there are 10 columns, how
many rows of stars are in the quilt?
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7. |
A drive-in
theater charges $7 per vehicle plus $1 for every
person in the vehicle. If the total charge is
represented by T, and the number of people in
the vehicle is represented by n, write an
equation that can be used to find the cost per
vehicle.
What is the charge for a car with 6 people?
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