Download Pre-Calculus - Shelbyville CUSD #4

Pre-Calculus
Section 2.1
Linear Equations and Problem Solving
Equation- A statement that two algebraic expressions are equal
Identity Equation- An equation that is true for every real number in the
domain of the variable
Conditional Equation- An equation that is true for just some (or even
none) of the real numbers in the domain
Linear Equation in One Variable- An equation that can be written in
the standard form ax + b = 0
Solve the following equations.
1.
x  3x  2
3 4
4.
1  3  6x
x  2 x  2 x2  4
2.
3x – 5 = 2x + 7
5.
3. 100  4 y  5 y  6  6
3
4
3
x2  3x
4 1
x x 3
Solve for the indicated variable.
1.
A = (1/2)bh for h
2.
S  rL  a for r
r 1
3. P = 2l + 2w for w
Solve the following problems.
1.
A rectangular family room is twice as long as it is wide, and its
perimeter is 84 feet. Find the dimensions of the family room.
2.
A plane is flying nonstop from New York to San Francisco, a
distance of about 2600 miles. After 1.5 hours in the air, the
plane flies over Chicago (a distance of about 800 miles from
New York). Estimate the time it will take the plane to fly from
New York to San Francisco.
3.
To determine the height of a building, you measure the shadow
cast by the building and find it to be 142 feet long. Then you
measure the shadow cast by a 48-inch post and find it to be 6
inches long. Estimate the building’s height.
4.
A store has $30,000 of inventory in 13-inch and 19-inch
televisions. The profit on a 13-inch set is 22% and the profit on
a 19-inch set is 40%. The profit for the entire stock is 35%.
How much was invested in each type of television?
See common formulas on p. 170.
5.
A cylindrical can has a volume of 600 cubic cm and a radius of
4 cm. Find the height of the can.
6.
The average daily temperature is San Diego, CA is 64.4oF.
What is the average daily temperature in degrees Celsius?
HW: p. 172-175 4-68 x4, 80, 100-104 even