Assignment:
Complete each ordered pair so that it satisfies the given equation.
1.) y = 2 x + 5: (8, ), (-1, ), ( , -1)
Graph each equation. Plot at least five points for each equation. Use graph paper. If you have a graphing calculator, use it to check your graphs when possible
2.) x - 2y = 6
3.) Dental services. The national cost C in billions of dollars for dental services can be modeled by the linear equation C =2.85n +30.52, where n is the number of years since 1990 (Health Care Financing Administration, www.hcfa.gov).
a) Find and interpret the C-intercept for the line.
b) Find and interpret the n-intercept for the line.
c) Graph the line for n ranging from 0 through 20.
Graph the line with the given point and slope.
4.) The line through (-2, 5) with slope-1
Solve each problem.
5.) Draw l1 through (-4, 0) and (0, 6). What is the slope of any line parallel to l1? Draw l2 through the origin and parallel to l1.
Find the slope and y-intercept for each line that has a slope and y-intercept.
6.) x+ 2y = 3
Graph each line using its y-intercept and slope.
7.) y + 4x = 8
In each case determine whether the lines are parallel, perpendicular, or neither
8.) y = x + 7
y = x + 2
Write each equation in slope-intercept form.
9.) y + 3 = -3(x - 6)
Find the equation of the line that goes through the given point and has the given slope. Write the answer in slope-intercept form.
10.) (-1, -5), -8
Find the equation of each line. Write each answer in slopeintercept form.
11.) The line is parallel to -3x + 2y = 9 and contains the point (-2, 1).
Find the equation of each line in the form y = mx + b if possible.
12.) The line through (3, 2) with undefined slope
13.) Basal energy requirement. The basal energy requirement B is the number of calories that a person needs to maintain the life process. For a 28-year-old female with a height of 160 centimeters and a weight of 45 kilograms (kg), B is 1300 calories. If her weight increases to 50 kg, then B is 1365 calories. There is a linear equation that expresses B in terms of her weight w. Find the equation and find the basal energy requirement if her weight is 53.2 kg.
Write a formula that expresses the relationship described by each statement. Use k for the constant in each case.
14.) m varies directly as p.
15.) u varies inversely as n.
Find the variation constant, and write a formula that expresses the indicated variation.
16.) c varies inversely as d, and c = 5 when d = 2.
Solve each variation problem.
17.) n varies directly as q, and n = 39 when q = 3. Find n when q =8.
18.) Gas laws. The volume of a gas is inversely proportional to the pressure on the gas. If the volume is 6 cubic centimeters when the pressure on the gas is 8 kilograms per square centimeter, then what is the volume when the pressure is 12 kilograms per square centimeter?
Graph each inequality.
19.) y < 2x + 2