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Final Exam Review Packet
Name: _____________________
Date: _________ Pd: _________
Algebra A CP - 3173
Unit 1 (Sections 1.1-1.3 and 2.1-2.5)
Write an algebraic expression for each phrase:
1) 4 less than x
2) Twice the sum of 13 and twice a number
Order of Operations:
[
[
]
4) 9 + 4 - (10 - 9)2
3) 27 52 ¸ (42 + 32 ) + 2
]
3
Evaluate each expression for x = 11 and y = -8.
5) xy2
6) 2x2y
7) x2 + y2
Number Classification:
Name the sets of numbers to which each number belongs.
8) -1
9) 4.8
11) Order from least to greatest: 5
10) 0
13 1 21
,5 ,5
16 2 32
Adding, Subtracting, Multiplying and Dividing Real Numbers:
é 7 -8ù é-8 9 ù
é-3 4 ù é-5 6 ù
12) ê
13) ê
ú+ê
ú
ú-ê
ú
ë-12 6 û ë-9 17û
ë 0 -1û ë 9 -4û
Evaluate for x = 3, y = -4, and z = 6.
14) |y – z|
15) –y – x
Distributive Property:
Simplify:
18) 2(5x + 3)
16) x + y – z
19) –½(6x + 4)
17) |2x – z|
20) 3x2 + 5x2
21) Write an expression for “3 times the quantity x minus 5.”
22) Name the property that the equation illustrates:
a) 5 + 6 = 6 + 5
b) 4 * 1 = 4
Unit 2 (Sections 3.1-3.6)
Solving Equations:
5x
23) 10 = 35 +
6
25) -
15
17
10
=- x + x
8
6
3
27) 3(2x – 6) = 2(3x – 9)
24)
4 1
1
= x +1 +
3 5
3
26) -4(2n – 11) = -8 – 4(11 + 3n)
28) 3(5x – 2) – 6x = 3(3x + 2)
29) A customer went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The
total bill was $53.50. Write and solve an equation to find the price of each shrub.
30) I want to build a sandbox in which the length is 5 feet less than its width. I have 26 feet of
wood with which to work. What are the dimensions of the sandbox, which uses all the wood?
31) Linda left home and drove for 2 hours. She stopped for lunch then drove for another 3 hours at a
rate that is 10 mph higher than the rate before she had lunch. If the total distance Linda travelled is
230 miles, what was the rate before lunch?
Conversions:
32) Convert 20 miles/hour to feet/minute
Proportions:
Solve each proportion:
x x -5
=
34)
8
6
33) 31 feet/minute to miles/hour
35)
d -2 3
=
d + 9 14
Similar Figures:
36) Solve for x
37) A basic cupcake recipe calls for 2 cups of flour and makes 10 cupcakes. How many cupcakes
could you make if you plan to use 13 cups of flour?
38) A flagpole casts a shadow 102 feet long. A 6-ft tall man casts a shadow 17 feet long. How tall is
the flagpole?
Unit 3 (Sections 4.1-4.6)
Inequalities
39) Is 3 a solution to the inequality? x(3x – 4) > 16
Solving inequalities and graphing solutions:
Solve each inequality and graph the solution:
1
1
40) y + y ³ -6
2
4
41) x + 3 - 3(x -1) > -4
Compound Inequalities:
Solve each compound inequality and graph the solution:
42) -8 £ -2a + 4 < 12
43) -3x +13 < -8 or 19x £ 18x -15
Absolute Value:
Solve each equation or inequality:
44) -8 10x - 10 - 5 = -85
45) 5 + 10 2n - 9 = -5
46) 2 d + 5 -1 < 3
47) 2 - 3 3x - 3 £ 29
Unit 4 (Sections 5.1-5.4, 5.7, 1.6, Box and Whisker)
Measures of Central Tendency:
Find the mean, median and mode for the set of data
48) 24, 45, 33, 27, 24
49) Make a stem and leaf plot of the data from #34
Sketching Graphs:
50) The graph below shows a person’s speed while biking to school. Circle the places where the
speed is constant.
Functions:
Find the range of the function when the domain is {-4, 0, 1, 5}
51) y = 4x – 7
52) Create a mapping diagram and use it to determine if the following relation is a function:
{(2, 3) (3, 2) (1, 9) (2, 4)}
53) Graph the function y = |x| – 3
54) Graph the function y = x2 – 4
Arithmetic Sequences:
Find the common difference in each arithmetic sequence. Then find the next three terms.
55) 6, 4, 2, 0, -2,…
56) 9, 8.5, 8, 7.5,…
57) Find the 1000th term of the following sequence: 988, 985, 982, …
Unit 5 (Sections 6.1-6.7)
Rate of Change/Slope:
Find the rate of change for each situation:
58) The cost of group museum tickets is $48 for four people and $78 for ten people.
59) You drive 30 miles in one hour and 120 miles in four hours.
Find the slope of the line passing through each pair of points:
60) (-7, 1) (7, 8)
61) The graph of y = 3 is a __________________ line. (vertical or horizontal)
The slope of the line y = 3 is ________________. (Zero or Undefined)
62) The graph of x = 2 is a __________________ line. (vertical or horizontal)
The slope of the line x = 2 is ________________. (Zero or Undefined)
63) Find the slope and y-intercept of the line 4x – 5y = 30
64) Write the equation of the line to the right in slope-intercept
form.
65) Graph the equation y – 4 = -2(x + 2)
66) Write the following equation in standard form y =
2
x -2
5
Parallel/Perpendicular Lines:
Write an equation of the line in slope intercept form that is…
67) … parallel to y = 5x – 2 and through (2, -1)
68) … perpendicular to y = -3x + 7 and through (2, 5)
Unit 6 (Sections 7.1-7.6, 2.6-2.7)
Probability:
Suppose you roll a standard dice.
69) P(number > 6)
70) P(not 5)
71) P(2 or 6)
72) P(3)
Suppose you choose two numbers from a box containing the numbers 1-10. State whether the two
events are independent or dependent, then find the probability.
73) P(6 and an even number) without replacing the card
74) P(1 and an odd number) with replacing the card
System of Equations:
Solve by any method:
ìï x = -2y + 10
75) í
ïî2x + 4y = 20
ì 4x - 5y = 11
76) í
î6 x + 7y = 31
77) Solve system of inequalities by graphing!
78) Box and Whisker – Each chunk in a box and whisker contains __________ of the data