Download 6. The number of miles traveled varies directly with the number of

Math 803
Unit 6 Test Review
1.
Use the graph below to answer the following questions: (lesson 3.1)
a. Find the constant rate of change and interpret its meaning
b. Determine whether a proportional linear relationship exists between the two quantities shown
in the graph. Explain your reasoning.
Using the slope formula, find the slope of the line that passes through each pair of points. (lesson
3.2)
2. A(2, 3), B(1, 5) −2
3. G(−1, −3), H(−2, −5)
For Exercises 4 and 5, y varies directly with x. Write an equation for the direct variation. Then find
each value. (lesson 3.3)
4. If y = 8 when x = 3, find y when x = 45.
5. If y = –4 when x = 10, find y when x = 2.
6. The number of miles traveled varies directly with the number of hours traveled. The
relationship is shown in the graph below.
a) Write a direct variation equation for the total distance (d)
traveled after any number of hours (h)
b) Use the equation to determine the distance traveled after 10 hours.
c) Use the equation to determine how many hours it would take to
Travel 600 miles.
State the slope as a fraction and the y-intercept as an ordered pair for the graph of each equation.
(lesson 3.4)
m = _______
m = _______
7. y = x + 4
8. y = 2x – 2
b = _______
b = _______
9. Graph a line with a slope of 2 and
A y-intercept of –4.
1
10. Graph a line with a slope of and a
4
y-intercept of 1.
Graph each equation using the slope and the y-intercept. (lesson 3.4)
1
11. y = –x + 1
12. y = x – 2
2
m = _______
m = _______
b = _______
b = _______
For questions 12 and 13, graph the line using x-intercepts and y-intercepts. (lesson 3.5)
13. 3x − 2y = 12
14. −5x + y = −10
x-intercept: −3;
3;
−6
x-intercept: 4;
Write an equation in point-slope form and slope-intercept form for each line. (lesson 3.6)
15. passes through (4, 7), slope = 2
16. passes through (–2, –1), slope = 4
Point-slope form:______________________
Point-slope form:_____________________
Slope-intercept form:___________________
Slope-intercept form:__________________
For questions 17 and 18, write the equation in STANDARD FORM:
17.
y = -3x - 12
Standard form:___________________
𝟏
18. y + 3 = (x – 12)
𝟑
Standard form:_____________________
Explain whether the scatter plot of the data for each of the following shows a positive, negative, or
no association. Interpret the scatter plot.
18.
19.
20. The graphs shows the test scores for
students give the number of hours they
spent studying.
a. Find the slope of the line of best fit.
b. Write the equation of the line of best fit in slope-intercept form.
c. Use the equation of the line of best fit to find the estimated test score if a student
studies 50 hours for the test.