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SUMMER MATH
Summer Work Part 1: MATH COMPUTATION
Please review the topics listed below and then complete the math exercises that follow, which should be done neatly on loose leaf and/or graph paper with ample WORK for EVERY question. This is due on the first day of school in September 2020.
TOPICS
- Operations with rational numbers
- Basic irrational numbers
- Extensive percent applications
- Order of operations
- Situations of proportionality
- Graphing points and lines in the coordinate plane
- Multi-step algebraic expressions, equations, and inequalities
- Systems of measurements
- Planar and spatial geometry
- Fundamental statistics and probability
- Radical concepts
- Relations and functions
- Analyzing graphs in detail
EXERCISES
1) What is four times the sum of 4/5 and 1/3?
2) Solve: 2w - 1.3 = 13.7
3) If you purchase three shirts for $12.38 each and pay $2.81 in tax, how much change will you receive from the cashier if you give her a $50-bill?
4) Explain, in words, how to calculate the area of trapezoid.
5) Convert 13 miles into feet and then into inches.
6) If the area of a rectangle is 3/16 square meters and its length is 0.5 meter, what is the rectangle's width?
7) What is the GCF and LCM of 7, 28, and 35?
8) Explain, via absolute value, how to calculate the distance between the coordinates (14, -39) and (14, -211).
9) If the perimeter of a square is 48 cm, what is the area of this quadrilateral?
10) What is the solution set for 5(x + 2) < 30? Graph this on a # line.
11) If you plan to pay off a loan of $5,800 by submitting $250 per month, how many months will it take you to pay this debt off and how much will your final payment be?
12) Evaluate 10^3 - 12 + -20/4
13) How does one calculate the surface area of right circular cylinder? How does one find the volume of this same figure?
14) Convert 1/7 into a decimal and round this to the nearest thousandth.
15) Two angles of a triangle measures 43 degrees and 52.3 degrees. Calculate the measure of this polygon's third interior angle. Classify this triangle in two ways.
16) What is 40% of 3/5 of 800?
17) If a = -2/3 what is the value of the expression 8a + 2?
18) Explain, in words, how to plot the point (-23, 12) on a coordinate plane.
19) Sketch a circle and draw one radius and one diameter, clearly labeling each of these segments.
20) Jody reads a book at a rate of 1 page every 3 minutes. If her reading rate remains the same, how long will it take her to read 18 pages?
21) What is the quotient of 324,821 and 15 written as a mixed number?
22) Calculate the mean for the test scores of 92, 65, 80, 75, and 80.
23) What is the probability of landing on tails if you flip a standard coin? Explain.
24) A hotel has a number of meeting rooms, m, available for events. Each meeting room has 325 chairs. Write an algebraic equation to represent c, the total number of chairs, in all of the meeting rooms at the hotel. Then, use your equation to determine the total number of chairs in the hotel if there are 8 meeting rooms.
25) If your total bill, after tax, comes to $92.80 and you wish to leave a 20% tip for your waiter, what will your new total be after you factor the tip in?
26) How much smaller is 32.923 than 32.9705?
27) What is the product of 5 radical 12 and 8 radical 3, expressed in simplest radical terms?
28) If you travel 240 miles over a period of 3.5 hours, what is your average speed for this trip?
29) Given the expression 5(4x + 2y) - 10, evaluate this if x = 2.3 and y = -3.
30) Algebraically, find the x-intercept and y-intercept of 5x = 10y + 12.
31) If a baker is making seven apple pies for every four cherry pies, how many cherry pies will he make if the baker makes 42 apple pies?
32) 60 is 70% of what #?
33) Graph the function 4y - 8x = 12.
34) Construct a tree diagram for the compound event of rolling a standard number cube and then flipping a standard coin.
35) What is 3.45 X 10^-4 written in standard form?
36) What is the product of 12x^2 and -4x^7?
37) If the area of a circle is 225pi square feet, what is the exact circumference of this circle?
38) Solve: ½(12 – 4d) = 2d + 8 + 2d
39) Solve: 2n + 24 + 3n = -2(1 – 7n)
40) Solve: -3(4x + 3) + 4(6x + 1) = 43
41) Solve: 0.3h + 10 = 0.6h – 20
42) Solve: -5(1 – 5c) + 5(-8c – 2) = -4c – 8c
43) Is 64 a perfect square or a perfect cube? Explain.
44) What is the probability of pulling a picture card out of a standard deck?
45) Subtract the binomial 3r – 12 from twice the binomial 15 + 9r.
Summer Work Part 2: MATH VOCABULARY
Summer Vocabulary Assignment – due Monday, September 14, 2020
Each student is to purchase a 3-subject notebook used solely for Math Vocabulary.
You will have numerous checkpoints throughout the year, where each given word is to be accompanied by an appropriate definition and a sound example. Vertically fold the pages down the middle, so that two columns are formed. The word and its definition are to be located in the left column, while the example is to be provided in the right column (next to the word/definition). All is to be neatly handwritten and completed alphabetically. Remember to use valid resources when researching (and cite sources accordingly). Also, remember the cardinal rule: DO NOT USE THE WORD(S) IN THE DEFINITION OF THE WORD(S).
A
Abscissa
Absolute value
Absolute value function
Acute angle
Acute triangle
Addend
Addition property of equality
Addition property of inequality
Additive identity
Additive identity property
Additive inverse
Additive inverse property
Adjacent angles
Algebraic equation
Algebraic expression
Algebraic inequality
Alternate exterior angles
Alternate interior angles
Altitude
Angle
Arc
Area
Arithmetic sequence
Associative property of addition
Associative property of multiplication
Asymptote
Average rate of change
Axis of symmetry
B
Base of a geometric figure
Base of a power
Bias
Binomial
Bisect
Boundary line
Box plot (Box-and-whisker plot)
Break in a graph
C
Causal relationship
Center of dilation
Center of rotation
Central angle
Chord
Circle
Circle graph
Circumference
Clockwise
Closure property
Cluster
Coefficient
Collinear
Commission
Common denominator
Common difference
Common ratio
Commutative property of addition
Commutative property of multiplication
Complementary angles
Completing the square
Composite numbers
Compound interest
Cone
Congruent
Conjecture
Conjunction
Consecutive integers
Constant
Constant function
Continuous graph
Conversion factor
Coordinate plane
Coplanar
Correlation
Correlation coefficient
Corresponding angles for lines
Corresponding angles for polygons
Corresponding sides
Cosine ratio
Counterclockwise
Cross products
Cube
Cubic function
Cumulative
Customary system of measurement
Cylinder
D
Decagon
Degree for measurement
Degree of a polynomial
Denominator
Density property
Dependent events
Dependent variable
Diagonal
Diameter
Difference
Dilation
Direct variation
Discrete graph
Discriminant
Disjunction
Distributive property
Dividend
Division property of equality
Division property of inequality
Divisor
Domain of relations/functions
Dot plot
Double distribution
E
Edge
Elimination method for systems
Equation
Equilateral polygon
Equivalent
Estimate
Evaluate
Even integer
Event
Experimental probability
Exponent
Exponential decay
Exponential function
Exponential growth
Expression
Extended distribution
Exterior angle
Extrapolation
F
Face of a geometric shape
Factor
Factorial
Factoring
First quartile
Formula
Fraction
Frequency
Function
Function notation
Fundamental counting principle
G
Gap
Geometric sequence
Graph of a function
Greatest common factor (GCF)
Greatest integer function
H
Hemisphere
Heptagon
Hexagon
Histogram
Horizontal
Horizontal shift
Horizontal shrink
Horizontal stretch
Hypotenuse
This concludes the 1^{st} checkpoint. More words will be announced in late September.