<p>Math 10F Name ______</p><p>Test 2: Word Problems and Linear Equations Test Review (HAND IN PORTFOLIO)</p><p>1. Rearrange these equations into y = mx + b form. Once you have done this, graph the line. (4 pts each)</p><p>1) 2x + y = 6 2) x – 2y = -10</p><p>Rearranged Equation: Rearranged Equation: m = b = m = b = </p><p>Graph: Graph</p><p>2) Use the following two equations to find the intersection point using the graphing method.</p><p> y  x  6 y  2x</p><p>Line 1: m = ______b = ______Line 2: m = ______b = ______</p><p>Intersection Point: ( , ) 3. A photographer charges a sitting fee of $15 and $5 for each photograph ordered. a) Show the relationship between the number of photographs ordered and the total cost in a table of values: (2 pts) Number of photographs Total cost ($) 0 1 2 3 4 5 b) How much does the pattern go up by each time? ______(0.5 pts) What does this represent? (slope or y-intercept?) ______(0.5 pts) c) What is the independent variable? ______(0.5 pt) What is the dependent variable? ______(0.5 pt) d) Draw a graph from your table of values. Label the axes and use an appropriate scale. (3 pts)</p><p> d) Using the graph, estimate the cost if you order 10 photographs. ______(1 pt) e) Write an equation in y = mx + b form. ______(2 pts) f) You order 40 photographs. How much did will you pay for these? Show all work. (Use the equation to find the answer.) (2 pts)</p><p> g) Your total cost was $150. How many photos did you order? Show all work. (Use the equation to find the answer.) (2 pts) 4. The temperature of a cup of warm water is 20°C. Every minute the water gets 2° colder. The graph is shown below:</p><p> a) Using the graph, estimate the temperature of the water after 20 minutes. ______(1 pt)</p><p> b) Using the graph, </p><p> estimate the number of </p><p> minutes it takes for the </p><p> temperature to be 10°. </p><p>______(1 pt)</p><p> c) Write an equation in y = mx + b form. (2 pt)</p><p>______</p><p> d) Use your equation to calculate the temperature of the water after 60 minutes. Show all work. (2 pt)</p><p>5. Complete the following table by indicating which is the independent variable and which is the dependent variable. (2 pts each)</p><p>Variables Independent Dependent Relationship/Correlation (positive, negative) The speed of a car and the number of speeding tickets you get The amount of income you earn and the number of years of education you have</p><p>6. For each graph, state the independent and dependent variable. (1 pt each)</p><p>Independent Variable: ______Independent Variable: ______Dependent Variable: ______Dependent Variable: ______7. You want to sell your car, so you’re going to put an ad in the paper. The cost to place an ad in two different newspapers is as follows:</p><p>Chronicle Herald: $16 initial charge, plus $2 per day Daily News: $10 initial charge, plus $4 per day a) Create an equation for each.</p><p>Chronicle Herald: ______Daily News: ______</p><p>Step 2: Solve using the comparison method for when the 2 options cost the same.</p><p>Intersection Point: ( , )</p><p>Step 3: What does this intersection point mean?</p><p>The graph is shown below:</p><p>If you need the add for only 2 days, which company should be hired? Write a sentence!</p><p>If the need the add for at least 7 days, which company should be hired? Write a sentence! 8. The scatter plot below compares the grade point average of students (ie, their marks) and the hours of video games they played.</p><p> a) Estimate the line of best fit. Use a ruler. (1 pt) b) What type of correlation is this? (strong or weak) ______(positive, negative, none) ______(1 pt) c) Complete the sentence below: As the grade point average increases, the number of video games… ______(1 pt) 9. </p><p> a) Draw a scatter plot from the data. Be sure to label the axes and use an appropriate scale. (4 pts)</p><p> d) Draw a line of best fit. Use a ruler. (1 pt) e) What type of correlation is this? (strong or weak) ______(positive, negative, none) ______(1 pt) f) Complete the sentence below: As the mass increases, the force… ______(1 pt) g) Predict the force needed when the mass is 4.5kg. Show your work on the graph. ______Is this interpolation or extrapolation? ______(2 pts) h) Predict the mass where there is a force of 22N. Show your work on the graph. ______(1 pt) Is this interpolation or extrapolation? ______(1 pt)</p>