Linear Functions Practice Quiz - Scarsdale Public Schools
Name: ______________________ Class: _________________ Date: _________
ID: A
Linear Functions Practice Quiz
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. The table shows the cost of a ski rental package for a given number of people.
People
Cost ($)
4
160
5
200
6
240
7
280
____
a. 1 dollars per person; the cost is $1 for 280 people. 280
b. 160 dollars per person; the cost is $160 for each person. 1
c. 1 dollars per room; the cost is $40 for each person. 40
d. 40 dollars per person; the cost is $40 for each person. 1
2. The table shows the number of miles driven over time.
Time (hours)
Distance (miles)
4
204
6
306
8
408
10
510
a. 51 ; Your car travels 51 miles every 1 hour. 1
b. 204; Your car travels 204 miles.
c. 1 ; Your car travels 51 miles every 1 hour. 51
d. 10; Your car travels for 10 hours.
1
Name: ______________________ Find the slope of the line.
____ 3.
ID: A
a. 3 4
b. - 4 3
c. ? 3 4
d. 4 3
What is the slope of the line that passes through the pair of points?
____ 4. (1, 7), (10, 1) a. 3 2
b. - 2 3
c. - 3 2
d. 2 3
What is the slope of the line?
5.
2
Name: ______________________ 6.
ID: A
Write the slope-intercept form of the equation for the line. ____ 7.
a. y = - 5 x + 1 82
b. y = 8 x - 1 52
c. y = 5 x + 1 82
d. y = 8 x + 1 52
3
Name: ______________________ 8.
ID: A
What equation in slope intercept form represents the line that passes through the two points?
9. (2, 5), (9, 2)
4
Name: ______________________
ID: A
____ 10. Giselle pays $240 in advance on her account at the athletic club. Each time she uses the club, $15 is deducted from the account. Model the situation with a linear function and a graph.
a.
c.
b = 240 ? 15x b.
b = 225 ? 15x d.
b = 225 + 15x
b = 240 + 15x
Write an equation in point-slope form for the line through the given point with the given slope.
11. (8, 3); m = 6
____ 12. (3, ?10); m = ?0.83 a. y ? 10 = ?0.83(x + 3) b. y ? 10 = ?0.83(x ? 3)
c. y ? 3 = ?0.83(x + 10) d. y + 10 = ?0.83(x ? 3)
Graph the equation.
13. y ? 4 = -5(x + 1)
5
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