Download Algebra 1 - Final Exam Review - 1st Semester

Algebra 1 - 1st Semester
Final Exam Review
Name
This is part of your exam grade
Chapter 1
Write an algebraic expression for the phrase.
1.
4 times the sum of q and p
Hour
–2 times the quantity q minus 3
2.
Define a variable and write an expression for the phrase.
3.
the quotient of 6 times a number and 16
4.
4 minus a number
5. What equation models the data in the table if d = number of days and c = cost?
Days
2
3
5
6
Cost
44
66
110
132
6. A pair of shoes costs $52.99 and the state sales tax is 8%. Use the formula C = p + rp to find the total cost
of the shoes, where C is the total cost, p is the price, and r is the sales tax rate.
7. Evaluate the expression
for a = 4 and b = 3.
for x = –2 and y = 3.
8. Evaluate
Simplify each expression.
9.
12.
–6.5(–4.9)
10.
–4.8 – (–4.9) + 5.7
13.
 34
and
15.
(3) 4
16.
1
11.
14.
1
2
(–12m + 38)
3.7 – 1.8 – 3.67 + 4.4 – 1.34
17. Evaluate the formula
18. Evaluate –x + 2.7 for x = 0.9.
for B = 9 in.2 and h = 32 in.
1 5 5
19. Write  , ,  in order from least to greatest.
6 3 6
20. Evaluate
for a = 6 and b = 2.
21. A mountain climber ascends a mountain to its peak. The peak is 12,740 ft above sea level. The climber then
descends 200 ft to meet a fellow climber. Find the climber’s elevation above sea level after meeting the
other climber.
22. The temperature on a summer afternoon is 85°F. Define a variable and write an expression to find the temperature
after it
changes. Then evaluate your expression for a decrease of 11 degrees Fahrenheit.
23. You made two deposits to your bank account this month. One deposit was $17.92, and the second deposit was $15.33.
Your balance at the end of the month is $72.31, and you made no withdrawals. Write and evaluate an expression for
your
balance at the beginning of the month.
Decide whether each of the following real numbers is rational or irrational.
25.

25.
4
26.
5
27.
2
2
3
28.
0.1234...
Algebra 1 - 1st Semester
Name
This is part of your exam grade
Final Exam Review
Hour
Chapter 2
Solve the equation.
29.
d + 0.7 = 0.9
30.
31.
32.
3(y + 6) = 30
33.
34.
35.
5x – 5 = 3x – 9
36.
37.
The triangle below is isosceles with congruent sides
11 = –d + 15
8d – 4d – 6d – 8 = 2d
and
. Find the value of x.
E
x + 3.8
D
16
F
38. A gardener measures the tallest of his prize-winning sunflowers and finds that the height is 60 in. The sunflower was
52 in. tall the last time the gardener measured it. Write and solve an equation to find how many inches the sunflower
grew.
39. Tim wrote a check for $67. He subtracted that amount from his account balance and found that the balance was $329
after writing the check. Write and solve an equation to find his balance before writing the check.
3
40. A camera manufacturer spends $2,100 each day for overhead expenses plus $9 per camera for labor and materials.
The
cameras sell for $14 each.
a. How many cameras must the company sell in one day to equal its daily costs?
b. If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?
41. A train leaves the station at 1 p.m. It travels at an average rate of 60 mi/h. A high-speed train leaves
the same station an hour later. It travels at an average rate of 96 mi/h. The second train follows the
same route as the first train on a track parallel to the first. How many hours will it take the second train
to catch up to the first?
42.
Solve the equation for h.
V = Bh
43.
Solve the equation for a
4