Download Honors Algebra 1 Summer Assignment Below is a list of vocabulary

Honors Algebra 1 Summer Assignment
Below is a list of vocabulary that you should already know and are expected to know before
starting school:
Variable
Positive numbers
Negative numbers
Natural numbers
Whole numbers
Integers
Rational numbers
Irrational numbers
Square root Perfect square
Real numbers
Absolute value
Additive inverses
Multiplicative inverses
Percent
Permimeter
Area
Volume
Surface area
Probability Mean
Median
Mode
Frequency table
Line graph
Circle graph
Factors
Product
Exponent
Base
Order ofoperations
Commutative property
Associative property
Distributive property
Like terms
Simplest form
Coefficient
Expression
Equation
Solution
Ordered pair
Relation
Function
Domain
Range
Symmetry
x-intercept
y-intercept
x-axis
y-axis
quadrants
Below is a list of processes you should already know how to do:
Add, subtract, multiply, divide - includingfractions, mixed numbers and decimals.
Simplify expressions using order ofoperations.
Combine like terms.
Plot ordered pairs on the coordinate plane.
Properly draw, label and scale the x-y coordinate plane.
Raise numbers to powers.
Translate English statements to mathematical expressions or equations and vice-versa.
Construct and interpret line graphs, circle graphs, bar graphs, and scatter plots.
Set and solve problems involving ratios and proportions.
The following problems should be completed before the first day of school. If you are not sure
how to do a particular problem, you should go to a reliable mathematical website such as
KhanAcademy.org. No problem should be left blank. Some attempt/answer is expected for each
problem.
You may use a calculator to assist you. Basic steps should be shown. Computational work such
as adding, subtracting, multiplying and dividing need not be shown.
The calculator we will use in class is Texas Instrument - either the TI-83 or TI-84 is fine.
SECTION 0-2
Name the set or sets of numbers to which each real number belongs.
1.
-v'64
2.
8
3"
3.
v'28
4.
~
7"
Graph each set of"humbers on a number line. Then order the numbers from
least to greatest.
7
13. {5'
3:3 6}
-5'
4' -5
I
7 1 4}
14. {2' -9' 9' -9
Simplify each square root.
23.
-v'25
26. VO.64
29.1f§
SECTION 0-5
Give answers as fractions only.
Name the reciprocal of each number.
6
25. 7
14
27. - 23
29.
-st1
15. {2i' V7, 2.3, vB}
(fractions)
Find each quotient.
2 . 1
31 . 3
-:- 3
3~.!.
33• 2
. 2
35.
-io + 3
37.
2~ + ;
SECTION 0-6
Translate and solve.
10. 25 is what percent of I25?
12. 14 is 20% of what number?
14. What number is 250ft) of I8?
16. 'What percent of 48 is 30?
18. 5% of what number is 3.5?
20. Find 0.5% of 250.
30. TEST SCORES The table shows the number of points each student in Will's study
group earned on a recent math test. There were 88 points possible on the test.
Express all answers to the nearest tenth of a percent.
Will
72
Rob
Penny
...............---_.
68
81
a. Find Will's percent correct on the test.
b. Find Cheng's percent correct on the test.
c. Find Rob's percent correct on the test.
d. What was the highest percentage? The lowest?
75
SECTION 0-7
Find the perimeter of each figure. Round to the nearest tenth.
[5~
17.
2A= [
18.
3 in.
(,;,
I
I
•
I
I
I
3.5cm
19'0
20.
4ft
~
3m
Section 0-8
Find the area of each figure. Round to the nearest tenth.
21.
S.2em
22.
4.1 em
23.
2.9<:m
1.2em
3.5em
Ii
a.Oem
"
2.6em
Section 0-9
Find the volume.
18.
6.2m
8.
12 in.
2in.
SECTION 0-10
Find the surface area.
10.
5 mm
8mm
12.
6.2 em
SECTION 1-2
Simplify the expression - show all steps.
45. 314 ­ 8 + 4 2(2 + 5)]
2
2
- 2 • 8
46. 2· 8 2·8
47. 25 + [ (16 - 3 . 5) + 12; 3]
48. 73 - ¥13 ·6+ 9)4
SECTION 1-4
Simplify.
27. (4 - 3m)8
28. -3(2x ­ 6)
32.. 5z 2 + 3z + 8z2
33. (2 - 4n)17
34. 11(4d + 6)
35. 7m + 2m + 5p + 4m
36. 3x + 7(3x + 4)
37. 4<t:.~ + 3g) + 5g