The Slope Is ? (Type in an Integer Or a Simplified Fraction)

The table lists the percentage of households that were 3-person households during selected years.

Year1970198019902000

Percent17.317.417.516.5

What was this percentage in 2000 (type an integer or a decimal.)
Calculate the average percentage (round to three decimal places as needed)

Parking in a student lot costs $2 for the first half hour and $1.25 for each hour thereafter. A partial hour is charged the dame as full hour. What is the longest time that a student can park in this lot for $10? (Simplify your answer).

Find the slope of the line that goes through the given points: (9, -3) and (6, -9)

The Slope is ? (Type in an integer or a simplified fraction)

Use the elimination method to solve the system of equations:

a+9b=13

a+4b=3

The Solution is ? Simplified your answer, type the ordered pair if available)

5. NONE

Kara’s Custom Tees experienced fixed costs of $500 and variable costs of $3 a shirt. Write an equation that can be used to determine the total expenses encountered by Kara’s Custom Tees. Let x be the numbers of shirts, and let C(x) be the total cost of producing x shirts.

Then C(x) = ______?

The cost of producing 5 shirts is $______?

7. A certain mountain has an elevation of 19,545 feet. In 1923, the flakier on this peak covered 10 acres. By 2005 this glacier had melted to only 1 acre.

Assume that this flakier melted at a constant rate each year. Find this yearly rate.
Use your answer from part (a) to write a linear equation that gives the acreage A of this glacier t years past 1923.

The yearly rate of change is ______acres/year. ??

(Type an integer or a decimal. Round to the nearest thousandth).

What is the equation that gives the acreage of the flakier t years after 1923?

(Simplify your answer. Type your answer in slope-intercept form. Use integers or decimals for any numbers in the equation).

8. In a certain year, the amount A of garbage in pounds produced after t days by an average person is given by A = 0.5t.

(a) Graph the equation for t > 0.

(b) How many days did it take for the average person to produce 250 pounds of garbage? (Round to the nearest whole number as needed).

9. Multiply and write the answer without exponents:

(4 x 10^3) x (2 x 10^2) = ______?

10. Use the method of substitution to solve the system of linear equations.

2x – y = 3

7x -3y = 14

The Solution is ______(Type an ordered pair).

11. Determine graphically the x-value when y = 2 in the given equation:

-x + 2y = 8

Choose the plot in which the graph of the given equation intersects the line y = 2

12. Sketch a graph of y = f(x)

f(x) = -2x + 4

Graph the equation.

13. Complete the ordered pairs so that each is a solution of the given linear equation. Then graph the equation: x = 3 – y

Graph the equation:

14. A barrel contains 131 gallons of gasoline and is being drained at a constant rate of 13 gallons per day.

Write an equation that models the number of gallons, g, after t days.

The equation that models the given situation is ______?

15. An investor invested a total of $3,300 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If the investor’s total profit was $131, how much was invested in each mutual fund?

The amount invested in the mutual fund that earned 5% was ______?

The amount invested in the mutual fund that earned 3% was ______?

16. Solve the equation and check the solution:

-8(t-7)-(t+9)=5

The solution is t = ______? (Type an integer or a simplified fraction).

17. If a plane can travel 460 miles per hour with the wind and 400 miles per hour against the wind, find the speed of the plane without a wind and the speed of the wind.

The speed of the plane in still air is ______miles per hour.
The speed of the wind is ______miles per hour.

18. Write the function as a set of ordered pairs. Give the domain and range of f.

f(a) = s, f(b) = t, f(c) = r, f(d) =s

f = ____( Type ordered pairs. Use a comma to separate answers as needed).

The domain is ______?

The range is ______?

19. Find the area of the triangle shown on the right with base 1 2/3 yards and height ¾ yard. (Hint: The area of a triangle equals half the product of its base and height.)

The area is _____ yd^2 (Type a whole number or a simplified fraction.)

20. Use the multiplication property of inequalities to solve the inequality. Graph the solution set.

-1/7 t > = 3 (more or equal to 3)

The solution set is ______(Type an inequality).

21. The cost of driving a car includes both fixed costs and mileage costs. Assume that it costs $159.40 per month for insurance and car payments and $0.44 per mile for gasoline, oil, and routine maintenance.

find values for me and b so that y = mx + b models the monthly cost of driving the car x miles.

m = ______? (type an integer or a decimal)

b = ______? (type an integer or a decimal)

What does the value of b represent?

Choose the correct answer below:

The optimal cost of owing the car for one month
The rate of change in cost of the car with each mile.
The total cost of owing the car for one month.
The fixed cost of owing the car for one month without driving it.

22. Solve I = PRT for P

P = ______?

23. Use the formula d = rt to find the value of the missing variable.

d = 96 feet, t = 24 seconds

r = ______ft/sec

24. Solve the linear inequality: 7 – 5/4x >= 8 (greater than or equal to 8)

The solution set is ______? (Type an inequality Use integers or fractions for any numbers in the expression.)

25. Find the value of y for the given values of x and z.

y = x + zx = 9, z = 18

The value is y = _____?

26. Simplify the given expression: 8 + 5^2 = ______?

27. Translate the phrase into a mathematical expression and then evaluate it.

Sixteen squared divided by four to the fourth power.

a. The given expression in symbols is ______? (DO NOT simplify. Type

exponential notation with positive exponents.)

Evaluated, the expression is equal to ______? (Simplify your answer).

28. Find the slope-intercept form for the line satisfying the following conditions:

x-intercept 2, y-intercept 3/5

The slope-intercept form for the line is ______? (Type an equation. Use integers or fractions for any numbers in the equation.)

29. Use the method of substitution to solve the system of linear equations:

4a = 2 – b

4a = 3 – b

Select the correct choice below and, if necessary, fill in the answer box to complete your choice:

There is one solution. The solution is ______? (Type an ordered pair)
There are infinitely many solutions.
There are no solutions.

30. (See attached draft):

a. Determine whether the graph represents a function.

b. Use the graph to determine the domain and range of the function.

What is the domain of the function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice:

The domain is ______? (Type a compound inequality.)
The domain is all real numbers.
The graph does not represent a function.

What is the range of the function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

The range is ______? (Type a compound in equality.)
The range is all real numbers.
The graph does not represent a function.

31. The perimeter of a rectangle is 36 ft. The length is 2 ft longer than the width. Find the dimensions. Write a system of linear equations and solve the resulting system. Let x be the length and y be the width.

Write the first equation.

2x + 2y = ______?

Write the second equation.

x= y + ______?

What is the lenghth? ______ft

What is the width? ______ft

32. Make a scatterplot by plotting the given points:

(2,7), (-1,6), (0,-6), (-8,2)

Draft a graph and plotting the given points.

33. The number N of state and federal inmates in millions during year x, where x>=2002 can be approximated by the following formula: N = 0.05x -98.45

Determine the year in which there were 1.9 million inmates.

It was in the year of ______?

34. When the cost of a car is multiplied by 0.09 the result is $1780. Find the cost of the car.

The answer is ______? (Round to the nearest whole number as needed).

35. Graph the equation using the x- and y-intercepts.

x/5 – y/4 = 1

Graph the line use the intercepts when drawing the line. If only one intercept exists, use it and another point to draw the line.

36. Graph the given inequality: y<=7 (y is less than or equal to 7).

Graph the inequality.

37. In 1980 , median family income was about $17,000, and in 2000 it was about $40,000.

find the slope of the line passing through the points (1980, 17000) and (2000, 40000).

m =______?

Interpret the slope as a rate of change. Choose the correct answer below.

The median family income is increasing at the rate of $1150 per year.
The median family income increases by $1150 between 1980 and 2000
The median family income is decreasing at the rate of $1150 per year.
The median family income decreases by $1150 between 1980 and 2000.

If this trend continues, estimate the median family income in 2002 will be $______?

38. Simplify the expression: (-2p)^4 (simplify your answer)

39. Solve the system of linear equations by graphing:

2x +y =0

2x –y =4

Graph the system.

What is the solution of the system of equations? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

______? (Type an ordered pair.)
There are infinitely many solutions.
There is no solution.

40. A running back carries the ball five times. Find his total yardage if the carries were 8, -4, -1, 16, and 6 yards.

The total yardage is ______yards (type an integer or a decimal).

41. Find the value of y for the given value of x:

y = x + 1, x = 2

y = ______?

42. Use the distributive property to write the expression without parentheses:

9(a + b) = ______? (Simplify your answer)

43. Shade the solution set to the system of inequalities.

X + 2y > -5

3X + y <= 2 (3x+y less than or equal to 2)

Graph the given system of inequalities.

44. Simplify the expression:

0.4x^2 + 0.6x^2 -0.3x^2 = ______? (use integers or decimals for any numbers in the expression.)

45. Consider attached graph (#45):

If possible, find the slope of the line. Interpret the slope in terms of rise and run.

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

The slope of the line is ______?

(Type an integer or a simplified fraction).

The slope of the line is undefined.

Select the correct choice below and fill in the answer box to complete your choice. (Type whole numbers.)

The graph rises _____ unit(s) for each 2 unit(s) of run
The graph falls _____ unit (s) for each 2 unit(s) of run
The rise always equals _____?
The run always equals _____?

46. Simplify:

(5b)^-2 = ______(Use positive exponents only).

47. Translate the phrase into a mathematical expression and then simplify:

Nine times a number decreased by three times the same number

Write the corresponding mathematical expression.

______? (Type an expression using x as the variable. Do not simplify.)

The simplified expression is ______? (Type an expression using x as the variable.)

48. A family refers to a group of two or more people related by birth, marriage, or adoption who reside together. In 2000, in Country A, the average family net worth was $360,000, and there were about 7.3 x 10^7 families. Calculate the total family net worth in Country A in 2000.

Country A’s total family net worth is ______dollars.

(Use scientific notation. Round to the nearest tenth as needed).

49. The perimeter of a rectangle equals the sum of the lengths of its four sides. If the width of a rectangle is 4 inches and its perimeter is 36 inches, find the length of the rectangle.

The length of the rectangle is ______inches.

50. Using the formula A = lw (length times width), find the area of the rectangle.

Length is 5x^2; Width is 9x^4

The area is ______? (Type a simplified exponential expression).