Download Worksheet 1 1.1 Linear Equations

MATH 1400 - Supplemental Insruction
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Worksheet
1
1.1 Linear Equations
Solving a Linear Equation in One Variable:
1. Simplify both sides of the equation.
2. Collect the variable terms on one side of the equation and the constant terms on the other side.
3. Use multiplication or division property of equality to make the coefficient of the variable term 1.
4. Check the potential solution in the original equation.
5. Write the solution set.
Solve the following equations.
1. 4 = 7 − 3(4t + 1)
2. −6(v − 2) + 3 = 9 − (v + 4)
3.
1
5
x− =1
6
3
4. 0.05y + 0.02(6000 − y) = 270
5.
p−6 p
p+1
+ =
+2
3
7
3
MATH 1400 - Supplemental Insruction
Worksheet 1
6. For a recent year, the cost C (in $) for tuition and fees for x credit hours at a public college
was given by C = 167.95x + 94.
a) Determine the cost to take 9-credit hours.
b) If Jenna spent $2445.30 for her classes, how many credit hours did she take?
7. In the mid-nineteenth century, explorers used the boiling point of water to estimate altitude.
The boiling temperature of water T (in ◦ F) can be approximated by the model T = −1.83a +
212, where a is the altitude in thousands of feet.
a) Determine the temperature at which water boils at an altitude of 4000 ft.
b) Two campers hiking in Colorado boil water for tea. If the water boils at 193◦ F, approximate
the altitude of the campers. Give the result to the nearest hundred feet.
8. The total revenue R (in $billions) for cellular and other wireless telecommunications industries
in the United States can be modeled by R = 17.5x + 138.5 where x is the number of years since
2005. (Source:www.census.gov)
a) Determine the revenue for the year 2007.
b) Determine the year in which the revenue was $226 billion.
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