The number of calories K needed each day by a moderately active woman who weighs w pounds, is h inches tall, and is a years old can be estimated by the formula

K = 917 + 6(w + h - a).

Elaine is moderately active, weighs 120 lb, is 67 inches tall, and is 23 years old.What are her caloric needs?

Question 2

Solve:

(x - 3)/5 - 1 = (x - 5)/4 for x.

Question 3

The formula F = (9/5)C + 32 converts Celsius temperature C to Fahrenheit temperature F.What is the temperature in Fahrenheit if the temperature in Tokyo is 300C?

Question 4

When making a long distance call from a certain pay phone, the first three minutes of a call cost $1.75. After that, each additional minute or portion of a minute of that call costs $0.30. Use an inequality to find the maximum number of minutes one can call long distance for $4.75.

Question 5

Solve the inequality and graph the solution on a number line.

-5(4x + 15) < -25x - 30

Top of Form

Solve the inequality and graph the solution on a number line.

15n + 24 3(4n + 10)

Note: To receive full mark, show your calculations and final answer. You may show your solution on the space provided or upload your answer.

Question7

Find the three solutions to the given equation using the table of values. Use these solutions in the table to graph the equation.

y = 3x + 4

x

y

-1

0

1

Question8

A customer at a store bought 4 bottles of juice and 6 fruit pies for a total cost of $68.00.

a.If x represents represents the cost of a bottle of juice and y represents the cost of one fruit pie, make an equation in two variables that reflects the given conditions.

b.If a fruit pie costs $4.50, find the cost of a bottle of juice.

.

Question9

Without graphing, find the x-intercept and the y-intercept of the graph of the equation.

6x - 2y = -4

Question10

The graph shows the total cost y (in dollars) of owning and operating a minivan where x is the number of the two pointsshown above.

Use the given conditions to make an equation for the line in point-slope form and slope-intercept form.

Slope = 5, passing through (4,4)

Note: To receive full mark, show ALL your calculations and final answer. You may show your solution on the space provided or upload your answer.

Question 12

Solve the system by substitution method.

x + 5y = -6

7x + 6y = -42

Question 13

Solve the systems below by the substitution method. If there is no solution or an infinite number of solutions, so state.

a. 4x + y = 12

16x + 4y = 48

b. x - 8 = y

y + 6 = x

Question 14

One number is 1 less than a second number. Twice the second number is 3 less than 3 times the first. Find the two numbers.

Question 15

Solve the system of equations in three variables below. If there is no solution or if there are infinitely many solutions.

Equation 1: x + y + 2z = 11

Equation 2: x + y + 3z = 14

Equation 3: x + 2y - z = 5