Download Algebra II-Honors Test Review 2-1 to 2-4

Name: ________________________ Class: ___________________ Date: __________
Algebra II-Honors Test Review 2-1 to 2-4
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Use the vertical-line test to determine which graph represents a function.
a.
c.
b.
d.
Short Answer
2. For f (x) = 5x + 1, find f (−4) .
3. Suppose f (x) = 4x − 2 and g (x) = −2x + 1.
Find the value of
f (5)
g (−3)
.
1
ID: A
Name: ________________________
ID: A
4. Write the ordered pairs for the relation. Find the domain and range.
5. Make a mapping diagram for the relation.
{(–1, –3), (0, 1), (3, –1), (4, –6)}
2
Name: ________________________
ID: A
1
6. Graph the equation y = − x − 3.
4
7. Graph the equation 6x + 6y = 30 by finding the intercepts.
3
Name: ________________________
ID: A
Find the slope of the line through the pair of points.
8.
1
3
1
2
1
2
9. (− , 0) and (− , − )
10. Find the point-slope form of the equation of the line passing through the points (–6, –4) and (2, –5).
Write in standard form an equation of the line passing through the given point with the given slope.
11. slope = –8; (–2, –2)
4
Name: ________________________
ID: A
Find an equation for the line:
5
4
12. through (2, 6) and perpendicular to y = − x + 1.
13. through (–4, 6) and parallel to y = −3x + 4.
14. through (–7, –4) and vertical.
Find the slope of the line.
15. y = − 1 x − 4
2
16. 3x + 5y = −15
17.
5
Name: ________________________
ID: A
Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.
18.
x
y
6
24
18
72
54
216
162
648
Determine whether y varies directly with x. If so, find the constant of variation k.
19. 8y = 7x – 27
20. The range of a car is the distance R in miles that a car can travel on a full tank of gas. The range varies directly
with the capacity of the gas tank C in gallons.
a.
Find the constant of variation for a car whose range is 341 mi with a gas tank that holds
22 gal.
b.
Write an equation to model the relationship between the range and the capacity of the
gas tank.
Find the value of y for a given value of x, if y varies directly with x.
21. If y = 166 when x = 83, what is y when x = 23?
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Name: ________________________
ID: A
22. The distance traveled at a constant speed is directly proportional to the time of travel. If Olivia traveled 112
miles in 3.5 hours, how many miles will Olivia travel in 8.9 hours at the same constant speed?
23. A balloon takes off from a location that is 158 ft above sea level. It rises 56 ft/min. Write an equation to model
the balloon’s elevation h as a function of time t.
24. A cannery processed 605 pounds of strawberries in 3.5 hours. The cannery processed 2100 pounds in 10 hours.
a.
Write a linear equation to model the weight of strawberries S processed in T hours.
b.
How many pounds of strawberries can be processed in 12 hours?
1
25. A candle is 10 in. tall after burning for 2 hours. After 3 hours, it is 8 in. tall.
a.
2
Write a linear equation to model the height h of the candle after burning t hours.
b.
Predict how tall the candle will be after burning 6 hours.
26. Graph the set of data. Decide whether a linear model is reasonable. If so, draw a trend line and write its
equation.
{(1, 7), (–2, 1), (3, 13), (–4, –3), (0, 5)}
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