Download 1st six weeks Review Algebra 2

Name ____________________________________ Date____________
Period_________
1st six weeks Review Algebra 2
Multiple Choice
Identify the choice that best completes the statement or answers the question.
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1. Write an algebraic expression to represent the number of letters Salvador wrote.
Salvador wrote 16 letters to friends each month for n months in a row.
a. 16 + n
c.
b. 16n
d. 16 – n
2. Evaluate the expression e + c for e = 9 and c = 5.
a. 14
c. 15
b. 45
d. 4
3. Evaluate 3 + c – 6 ● 7 for c = 5.
a. –34
c. –4
b. 14
d. –26
4. Simplify the expression a2 – 2a + 4b + 9a2.
a.
c.
b.
d.
5. Determine whether the relation is a function.
Joann’s age (years)
Joann’s height (inches)
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6.
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7.
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8.
9.
11
57
12
58
13
59
14
64
15
66
16
66
a. Yes, the relation is a function.
b. No, the relation is not a function.
Dan paid a total of $25.80 last month for his international calls. He makes international calls only to England.
Dan pays $0.06 per minute in addition to $10.98 fixed monthly payment. How many minutes of international
calls did Dan make last month?
a. 247 minutes
c. 419 minutes
b. 430 minutes
d. 613 minutes
Solve 6x = 4 + 8x = 2(5x -1 ) + 4x
a. The solution set is all real numbers, or .
b. The solution set is the empty set.
c. x = -14
d. x = 0
A high school stadium can seat about 80% of the students attending the high school. If there are 405 students
enrolled in the high school, how many students can the stadium seat? If necessary, round to the nearest
number of students.
a. 329 students
c. 324 students
b. 321 students
d. 327 students
Jon’s Lawn Service crews can mow 6 yards in 4 hours. If the crews can maintain this pace, how long will it
take to mow 32 yards? Round your answer to the nearest tenth.
10. Solve the inequality |12 + 4x| > 16 and graph the solution set.
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11. Daniel rides his bike around the local park twice a week. He starts keeping time when he leaves his house. After
circling the park every three times, he notes how long he has been riding. The table shows the times for several
laps. Use the data to write an equation of the linear function AND use the equation to determine the time it will
take to bike 36 laps. (Hint point—slope)
Daniel’s Lap Times
Laps
Time (min)
3
16
6
26
9
36
12
46
15
56
12.
A 5-foot-tall student casts a shadow 7 feet long. At the same time, a flagpole casts a shadow that is 42 feet long.
How many feet tall is the flagpole?
13. Using data from a new data set, the relationship between the height in centimeters and the length of a woman’s
humerus bone is modeled by the equation h 2.71l + 72.8. Use this equation to approximate the height of a
woman whose humerus bone is 28 centimeters long. Give your answer to the nearest tenth of a centimeter.
14. Graph the function
.
15. Translate the point (1, 1) right 2 units and down 2 units. Give the coordinates of the translated point.
16. For f(x) = -2x – 6, evaluate f(-2).
17. Identify the parent function for g(x)  x  1  4 and describe what transformation of the parent function it
represents.
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18.
The quadratic parent function is translated 3 units to the left and up two units. Write an equation for the new
function and graph it.
19. Use roster notation to state the domain and range of the relation.
Domain ____________________
Range ______________________
20. Solve the proportion
.
so that the vertex is at (–5, –3). Then graph.
21. Translate
22. Solve -5 (8 + 6y) = -45.
23. Solve
and graph the solution set.
24. Solve the equation 9 x  4  81
3
X
1
7
0
-3
Y
3
15
0
-5
25. Solve and graph the compound inequality. s  2   10 and  3s  6
26. Solve
for y.
27. STUCO needs to raise funds for a project. They decide to sell t-shirts at a profit of $4 per shirt and baseball caps at
a profit of $5 per cap. Write an inequality showing how many of each item they need to sell in order to make at
least $500 in profit.
28. Graph the inequality
.
29. In slope-intercept form, write the equation of the line that is parallel to y = –2x – 9 and passes through (–2, –4).
30. After the first three miles, the cost of a taxi ride is a linear function of the trip length. Express the taxi cost as a
function of the trip length. Graph the relationship between the taxi cost and the trip length. If a 5-mile ride costs
$5.00 and a 10-mile ride costs $8.75, how much does a 16-mile ride cost? (Hint—point slope)
31. In slope-intercept form, write the equation of the line that contains the points in the table. State your answer in
slope intercept form.
x -2
-1 0
1
2
y 12
7
2
-3
-8
32. Find the slope of the line that passes through the points (2, 5) and (8, 7).
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33. Write the function
function. Label it L1.
in slope-intercept form. Then graph the
34. Find the intercepts of
, and graph the line. Label it L2.
35. Graph the line with slope  3 that passes through (–6, –4). Label it
L1.
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36. Solve 2a – 7  –3.
37. Determine if
is vertical or horizontal and graph. Label it as
38. Solve 8 2x  1  3  35
5
L2.