Name: ________________________ Class: ___________________ Date: __________
ID: A
Algebra I: Worksheet 9
Short Answer
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means
for the situation.
1.
Time (hours)
Distance (miles)
4
260
6
390
8
520
10
650
The rate of change is constant in the graph. Find the rate of change. Explain what the rate of change means
for the situation.
2.
Find the rate of change for the situation.
3. You run 7 miles in one hour and 21 miles in three hours.
1
Name: ________________________
ID: A
Find the slope of the line.
4.
Find the slope of the line that passes through the pair of points.
5. (–5.5, 6.1), (–2.5, 3.1)
6. A student finds the slope of the line between ( 14, 1) and (18, 17). She writes
make?
State whether the slope is 0 or undefined.
7.
Find the slope and y-intercept of the line.
8.
4
y= x–3
3
9. 14x + 4y = 24
2
1 − 17
. What mistake did she
18 − 14
Name: ________________________
ID: A
Write an equation of a line with the given slope and y-intercept.
10. m =
1
3
,b=−
4
4
Write the slope-intercept form of the equation for the line.
11.
12. Use the slope and y-intercept to graph the equation.
3
y= x–3
4
13. Giselle pays $210 in advance on her account at the athletic club. Each time she uses the club, $ 10 is deducted from
the account. The situation can be modeled by the equation
b = 210 – 10x, where x is the number of visits and b is the total account balance.
a. Graph the equation.
b. Find the account balance after 8 visits.
Find the x- and y-intercept of the line.
14. –3x + 9y = 18
15. Write y =
2
x + 7 in standard form using integers.
3
16. The grocery store sells kumquats for $4.25 a pound and Asian pears for $2.25 a pound. Write an equation in
standard form for the weights of kumquats k and Asian pears p that a customer could buy with $18.
Graph the equation.
17. y + 5 = −(x + 2)
18. y = –3
Write an equation in point-slope form for the line through the given point with the given slope.
19. (10, –9); m = −2
3
Name: ________________________
ID: A
20. A line passes through (2, –1) and (8, 4).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.
Is the relationship shown by the data linear? If so, model the data with an equation.
21.
x
y
–9
–2
–5
–7
–1
–12
3
–17
Are the graphs of the lines in the pair parallel? Explain.
1
x+8
6
–2x + 12y = –11
22. y =
23. The map shows Hope Road and the construction site for the new library. Find the equation of a “street”that passes
through the building site and is parallel to Hope Road.
Write an equation for the line that is parallel to the given line and that passes through the given point.
24. y =
3
x – 9; (–8, –18)
4
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
25. 4x – 12y = 2; (10, –1)
4
Name: ________________________
ID: A
26. Describe how the graph is like the graph of y = | x | and how it is different.
27. Graph y = | x | – 5.
Write an equation for each translation of y = |x| .
28. 4.5 units up
29. 16.5 units right
Graph each equation by translating y = | x |.
30. y = | x + 2 |
5