Lesson 11 unit 2 Linear Functions Unit Test
there are 3 different test to this unit so if you get this test here you go hope he helps
1. For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
X y
8 28
16 56
20 70
yes; y = 5x
yes; y = x + 20
*****yes; y = 3.5x
no; y does not vary directly with x
2. For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
X y
40 32
28 16
16 12
******no; y does not vary directly with x
yes; y = 2x
yes; y = 1.5x
yes; y = 0.2x
3. Match the equation with its graph.
Answer is D
4. Match the equation with its graph.
6x + 8y = –3
Answer is A
5. The table shows the number of miles driven over time.
A table with the first column labeled 'Time in hours' containing the values 4, 6, 8, 10 from top to bottom is shown. The second column is labeled 'Distance in miles' and contains the corresponding values 204, 306, 408, 510 from top to bottom.
Express the relationship between distance and time in simplified form as a unit rate. Determine which statement correctly interprets this relationship.
*****Start Fraction 51 over 1 End Fraction; your car travels 51 miles every 1 hour.
204; your car travels 204 miles.
Start Fraction 1 over 51 End Fraction; your car travels 51 miles every 1 hour.
10; your car travels for 10 hours.
6. Find the slope of the line.
5
–5
*****1/5
-1/5
7. What is the slope of the line that passes through the pair of points? (7, 2), and (9, 6)
–1
–2
1
***** 2
1 /1 point
8. What is the slope of the line that passes through the pair of points (3, –4), and (5, –7)? (1 point)
2/3
-2/3
*****-3/2
3/2
9. What is the slope of the line?
A coordinate graph is shown. A horizontal line passes through 3 on the y-axis.
*****0
1
Infinity
Undefined
10. Write an equation in point-slope form for the line through the given point with the given slope.
(8, 3); m = 5
y + 3 = 5(x – 8)
y + 3 = 5x – 8
***** y – 3 = 5(x – 8)
y – 3 = 5(x + 8)
11. Write an equation in point-slope form for the line through the given point with the given slope.
(–3, –5); m = -2/5
*****y + 5 = -2/5(x + 3)
y + 5 = 9-2/5) x – 3
y – 5 = -2/5(x + 3)
y – 5 = -2/5(x – 3)
12. The table shows the height of a plant as it grows. Which equation in point-slope form gives the plant’s height at any time?
A table is shown with the first column labeled Time in months and contains the values 3, 5, 7, 9 from top to bottom. The second column is labeled Plant height in centimeters with the corresponding values of 21, 35, 49, 63 from top to bottom.
y – 21 = 7/2(x – 3)
******y – 21 = 7(x – 3)
) y – 3 = 7/2(x – 21)
The relationship is nonlinear.
13. What is the graph of the equation?
x = –4
a.
b.***
c.
d.
14. Write y = (-5/8) x + 3 in standard form using integers. (1 point)
5x + 8y = –24
***5x + 8y = 24
5x – 8y = 24
–5x + 8y = 24
15. Write an equation for the line that is parallel to the given line and passes through the given point.
y = 5x + 10; (2, 14)
a. y =1/5 x + 4
***y = 5x + 4
y = –1/5– 4
y = 5x – 68
16. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y = –2x + 4
–5x + 10y = 5
Parallel
***perpendicular
Neither
17. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
y =-1/4x + 8
–2x + 8y = 4
Parallel
Perpendicular
*** Neither
18. Write the equation of a line that is perpendicular to the given line and that passes through the given point.
Y-4=5/2(x+3) ;(-3, 4)
Y+4=-2/5(x-3)
y-3+-2/5(x+4)
****y-4=-2/5(x+3)
Y+4=2/5(x-3)
19. Below are the functions of y = |x| and y = |x| – 3. How are the functions related?
***The functions have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second function is –3.
The functions have the same y-intercept. The second function is steeper than y = |x|.
The two functions are the same.
The functions have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second function is 3.
20. Graph y = |x+4|. (1 point)
a.
***b.
c.
d.
21. Graph y =[x]-3. (1 point)
a.
***b.
c.
d.
22. Graph y = |x – 4|. (1 point)
absolute value graph
**absolute value graph
absolute value graph
absolute value graph
23. Which type of correlation is suggested by the scatter plot?
positive correlation
Equal correlation
Negative correlation
*** no correlation
24 do on your own
25 do on your own
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