Download Mastering Arizona Mathematics Standards

Mastering Arizona Mathematics Standards – Strand 3 – High School #1
Day: ____________
Review
+
1. Which set of numbers is finite?
A. {even numbers between 1 and 89}
B. {real numbers greater than 1}
3 7
C. {rational numbers between 1 and 2} D. { numbers ending with zero}
2. The set shown is the subset of which of the following? { 8 ,  }
6
9
A. rationals
B. irrationals
C. integers
D. whole numbers
5
2
3. A car made a trip of 352 miles on 16.l8 gallons of gasoline. Which is the
closest to the number of miles per gallon the car got on that trip?
8
5
A.10 mpg

5
8
6
9
5
2
7
1.__________
B. 20 mpg C.30 mpg D. 40 mpg
4. A family of five went out to dinner. Their bill, including tax, was $90.00.They
left a 15% tip on the total cost of their bill. What amount is closest to the total
cost of dinner,including tip? A. $90.00 B. $77.00 C. $103.00 D. $13.00
5. The Palmdale High School varsity basketball team’s total points per
game for this year’s season are shown below. Which stem-and-leaf
plot could be used to correctly display the data?
Game
1 2
3
4
5
6
7
8
9
Points
48 53 52 64 47 70 56 65 68
1
Objectives
Communicate iterative or recursive patterns.
Find the nth term.
Evaluate problems using basic recursion formulas.
1. In the pattern below, each term is found by doubling the immediately preceding term
and adding 1. 3, 7, 15, 31, 63, … What is the 7th term in the pattern?
A. 127
B. 128
C. 255
D. 258
2.__________
2. Sam began a pattern with 4 and 7. He added them to get 11, the third term. To get
each term after the third, he added the two preceding terms. 4, 7, 11, 18, 29, …
What is the 9th number in this sequence?
A. 47
B. 123
C. 199
D. 322
3.__________
3. The first two terms in a sequence are shown at right. Each
term after the first is found by rotating the arrow 45°
clockwise. What will be the 7th term in the sequence?
4.__________
4. Which rule could be used to find each term, after the second, in the recursive
sequence shown? 2, 3, 6, 18, 108, ….
A. Multiply the two immediately preceding terms.
B. Multiply the immediately preceding term by 2.
C. Add the two immediately preceding terms then add 1.
D. Square the immediately preceding term and subtract 3.
5.__________
5. A pattern is defined y the following rules.
 The first term is 4.
 The second term is 7.
 Each term after the second is found by adding 3 to the immediately preceding term.
What is the fifth term in this pattern?
A. 10
B. 13
C. 16
C. 19
6.__________
6. Look at the figures to the right.
If the number of square units in
the pattern of figures continues
to increase arithmetically as
shown, how many square units
will be in the 9th figure?
A. 9
B. 39 + 1
C. 9(3 + 1)
D. 1 + (39)
7.__________
7. Sally wrote the number pattern shown.
1, 2, 4, 7, …
She noticed another pattern when she found that the difference between consecutive
numbers increased by 1 as shown above. If the difference continues to increase by 1,
what will be the next two terms of the original pattern?
A. 10, 13
B. 10, 14
C. 11,15
D. 11, 16
8.__________
8. A pattern is described below.
 The first term is 2.
 The second term is 7.
 Each term after the second is found by adding 5 to the immediately preceding term.
What is the fifth term in this pattern?
A. 5
B. 12
C. 17
D. 22
9.__________
9. The sequence below is defined by starting with 1, then adding 2 to the immediately
preceding term. What is the 10th term of the sequence if the pattern continues?
1, 3, 5, 7, 9, …
A. 9
B. 11
C. 19
D. 21
10._________
10. The following show a sequence. How many sides will be in the 7th term in the
sequence?
, ….
A. 7 B. 8
C. 9
D. 10
Arizona AIMS High School Coach Mathematics Exercises – Lesson 19: Pg. 108 - 111
1. __________
3. __________
5. _________
7. __________
2. __________
4. __________
6. _________
8. __________
Mastering Arizona Mathematics Standards – Strand 3 – High School #2
Day: ____________
Review
+
1. Which of the following addition properties justifies the statement? 2 + 0 = 2
A. commutative B. identity
C. inverse
D. closure
5 8
2. Which of the following sets of numbers represents an infinite set?
1 1 1 1
6
9
A.{Natural numbers between 0 &10}
B. { , , , }
2 4 8 16
4
2
C.{Whole numbers}
D.{10, 9, 8}
3. On June 1, Mary had a balance of $100 in her bank account. During June
7
1
she made the four transactions: deposited $25, withdrew $30, wrote a
check for $60 and paid a bank fee of $25. If there were no other
transactions, what was the balance in Mary’s bank account on July 1?
A. -$90
B. -$40
C. +$10
D. +$190
4. Which statement is true?

A. 9  65  10 B. 4  20  5
C. 6  56  7 D. 9  80  10
5. In the pattern below, each term is found by doubling the immediately
5 8
preceding term and adding 1. 3, 7, 15, 31, 63, … What is the 7th
2
6
term in the pattern?
A. 127
B. 128
C. 255
D. 258
9
4
Objectives
7
1
Evaluate expressions.
Simplify algebraic expressions.
Multiply and divide monomial expressions with exponents.
Translate written expressions into math expressions.
Calculate/simplify powers and roots of real numbers.
Solve square root radical equations involving only one radical.
1.__________
1. Which of the following expressions is equivalent to (6xy)²?
A. 12x²y²
B. 6xy²
C. 36x²y²
D. 6x²y²
2.__________
2. Evaluate the expressions 2(x - 2) + 3y when x = 5 and y = 3.
A. 13
B. 15
C. 16
D. 25
3.__________
3. Which equation represents “the sum of three x and four y equals ten”?
A. 3x + 4y = 10
B. 3 + x + 4 + y = 10
C. 7xy = 10
D. 3(x + 4y) = 10
4.__________
4. If x = 4 and y = -1, what is the value of 2 x  8 y ?
A. 0
B. 5
C. 14
D. 4
5.
Maria
took
a
taxicab
from
her
home
to
the
theater
downtown. The taxicab
5.__________
company charges a flat fee of $5.00 plus $0.25 per mile. Which equation
represents C, the total cost of her ride, in terms of m, the length of the trip in miles?
A. C = 0.25m
B. C = 5.25m
C. C = 5 + 0.25m
D. C = 5m + 0.25
Arizona AIMS High School Coach Mathematics Exercises
Lesson 20: Pg. 112 - 115
Lesson 21: Pg. 116 - 120
Lesson 22: Pg. 121 - 124
1. _________
5. ________
1. ________
4. _________
1. ________
4. ________
2. _________
6. ________
2. ________
5. _________
2. ________
5. ________
3. _________
7. ________
3. ________
6. _________
3. ________
6. ________
4. _________
8. ________
7. ________
7

8
2
6
9
7
4
3
1.__________
2.__________
3.__________
4.__________
5.__________
Solve linear equations, inequalities, proportions.
Entertai
n-ment
Solve formulas for specified variables.
1. What value of x would make the following proportion true?
6
3
28
1
 A. 12
B.
C.
x4 4
3
8
2. Which is the solution to the inequality? 2x – 7 > 9 A. x > 8 B. x > 1 C. x < 8 D. x > -1
3. The formula for the surface area of a cube is A = 6s². What is the formula for s in terms of A?
A. s 
A
6
B. s  6 A
C. s  A  6
D. s  6 A
4. If b  0, which equation is equivalent to ax + by = c? A. y  c  abx
b
6.__________
7.__________
Savings
$521
May
313
56
67
75
10
$521
June
313
64
67
75
2
$521
July
313
49
67
75
17
Which of the following is true?
A. Jazmin’s wages vary monthly.
B. Jazmin has $10 each month to spend for entertainment.
C. Jazmin’s gas expenses have been consistently decreasing.
D. Jazmin’s car payment is over 50% of her wages.
2. Which of the following expressions is equivalent to (6xy)²?
A. 12x²y²
B. 6xy²
C. 36x²y²
D. 6x²y²
3. Evaluate the expressions 2(x - y) + 3y when x = 5 and y = 3.
A. 13
B. 15
C. 16
D. 25
Objectives
1
1
Car
Insurance
3
Gas
9
Car
Payment
6
Month
2
Wages
Mastering Arizona Mathematics Standards – Strand 3 – High School #3
Day: ____________
Review
+
1. In order to plan her budget, Jazmin created a chart of her expenses for
three months. After paying her bills and setting aside her savings, she
spends what is left for entertainment and miscellaneous expenses.
5 8
B. y 
c
 abx
b
C. y 
c ax

b b
D.x >  4
5. What is the solution to the inequality? -3x – 1 < 5 A. x < -2 B. x > -2 C. x <  4
3
9.__________
6. What is the solution to the equation? 6x + 4 = 2x – 12 A. x= - 4 B.x= 4 C.x = 2 D. x= -2
7. Which is equivalent to the equation A  1 bh ? A. b  2 A B. b  A C. b  Ah D. b  2 A  h
10._________
8. Which is the solution to the inequality 2x – 3 > -4x + 2?
11._________
9. What value of x would make the following proportion true?
8.__________
2
h
2h
1
A. x 
2
2
1
B. x 
2
C. x 
5
6
D. x 
5
6
x
3

A. -6 B. -2 C. 2 D. 8
x2 4
10. What is the solution to the equation? 3(x – 4) = 5x – 6 A. x  3
B. x 
3
4
C. x  1
D. x  9
x x 1
4
11. What value of x would make the following proportion true? 
A. x  4 B x  1 C. x 
4 3
7
Arizona AIMS High School Coach Mathematics Exercises
Lesson 23: Pg. 125 - 129
Lesson 24: Pg. 130 – 132
1._______
3._______
5._______
7._______
1._______
3._______
5._______
2._______
4._______
6._______
8._______
2._______
3
4._______
6._______
Mastering Arizona Mathematics Standards – Strand 3 – High School #4
Day: ____________
Review
1. An insurance actuary used the tree diagram to the right to help categorize
drivers by gender, age, marital status, and accident history. Based on the
diagram, how many combinations of gender, age, marital status, and number of
accidents are possible?
A. 24 B. 8 C. 6 D. 3
2. The percent scores for 5 test are listed: 45 62 76 78 99 Which statement about the data is most reasonable?
A. the mean is close to 50 B. the mean is close to 54 C. the mean is close to 70 C. the mean is close to 80
3. Which of the following could represent a census of a school? A. sophomore class
B. P.E. classes
C. entire student body
Objectives Make reasonable predictions based upon linear patterns.
Determine if a relationship is a function.
Determine domain and range for a function.
Describe a contextual situation that is depicted by a given graph.
1. Which of the following functions of x has the apparent range of {y: y > 0}
A
B
C
D
2. In which of the following graphs is y a function of x?
A
B
C
3. Ginger left school at 3:00 P.M. and walked home, but went back to school for a book. She then
walked home, had a snack, and took a bus downtown. Later, she took a bus home, arriving 5:00 P.M.
Which of the following statements is true?
A. Ginger’s maximum distance from home was 2 miles.
B. Ginger’s minimum distance from home was 0.5 miles.
C. At 3:30 P.M. Ginger is at her furthest distance from home.
D. At 4:30 P.M., Ginger is back at her home.
4. Which of the following real-world situations could best
be modeled by the graph to the right?
A. the height of a person growing from child to adult
B. the amount of gasoline in a car gas tank during a trip
C. the altitude of a plane during a trip, from take-off to landing
5. Which of the following
functions of x has an
apparent range of {-1, 0, 2}?
D.
Arizona AIMS High School Coach Mathematics Exercises
Lesson 12: Pg. 68 - 72
Lesson 25: Pg. 133 - 136
Lesson 28: Pg. 148 - 153
1. _________
4. ________
1. ________
4. _________
1. ________
3. ________
2. _________
5. ________
2. ________
5. _________
2. ________
4. ________
3. _________
3. ________
6. _________
D
Mastering Arizona Mathematics Standards – Strand 3 – High School #5
Day: ____________
Review
+
1. Which of the following is an example of independent events?
A. flipping a fair coin and rolling a six-sided number cube
6 2
B. selecting the order in which one picture will be taken of each of four
friends by drawing their names out of a hat
3
1
C. selecting the order in which each member of a history class will present a
speech to the rest of the class.
9
7
D. selecting two different-flavored pieces of candy, one piece at a time, from
4
8
a bag containing four different flavors of candy
2. The numbered cube is numbered 1 through 6 on its faces. When the cube is
tossed once, what is the probability a number divisible by three will be on
1
1
1
B.
C.
D. 1
the top face? A.
3
6
2

3. Steps 1 and 2 describe an algorithm.
Step 1: Isolate the variable.
1 8
Step 2: Take the square root of both sides of the equation.
You now have your answer.
3
6
Which of these equations ca be solved by the algorithm above?
9
7
I. x² - 2x – 3 = 0
II. X + 5 = 0
III. x² - 9 = 0 IV. x3 + 2x + 6 = 0
Objectives
4
9
Write linear equation for a table of values, two points, slope & a point, or graph.
Express relationship between two variables using equations and/or graphs.
Determine slope, x-, and y-intercepts of a linear equation.
Graph a linear equation in two variables.
Determine if lines are parallel, perpendicular, or neither.
1. __________
1. Which of the linear equations below is derived from the following table of values?
x
-3 -1
1
3
A. y = x + 4
B. y = 2x + 7
y
1
3
5
7
C. y = -x + 4
D. y = 3x + 2
2.___________ 2. Which of line graph appears to contain the points on the table below?
x
-1 0
1
2
y
-1 1
3
5
3. Which statement is true about the graphs of
3. __________
these equations?
y = 6x + 4
y = 5x – 2
A. The lines intersect, but are not perpendicular.
B. The lines are parallel.
C. The lines are perpendicular.
D. The lines coincide (the same line).
4. __________
4. Which linear equation best represents the data
In the table shown below?
x
y
2
1
3
3
A. y = ½ x
B. y = x – 1
4
5
C. y = 2x – 3
D. y = -2x + 5
5. __________
6. __________
7.___________
5. Which of the following equations of a line has an x-intercept at 4 and a y-intercept at -2?
A. 2x – y = 8
B. 2x – y = 4
C. x – 2y = 4
D. 2x – y = 10
6. Which of the following best represents the graph of the
1
inequality y  x  3 ?
2
7. The following table represents C, an appliance
repairman’s charges based on t, the hours it takes to
make a repair.
APPLIANCE REPAIR TOTAL CHARGES
t(hours)
C(dollars)
1
75
3
145
5
215
7
285
Which of the equations could be used to determine the repairman’s charges for a repair?
A. C = 35t + 40
B. C = 40t + 35
C. C = 75t
D. C = 45t
8. Determine the slope m, x-intercept, and y-intercept of the equation 5x – 2y = 10.
5
5
2
2
A. slope m =
B. slope m = 
C. slope m =
D. slope m = 
5
2
2
5
x-intercept= (2, 0)
x-intercept= (2, 0)
x-intercept= (-5, 0) x-intercept =(-5, 0)
y-intercept = (0, -5)
y-intercept = (0, -5)
y-intercept = (0, 2) y-intercept = (0, 2)
9.
What
is
the
y-intercept
of
the
graph
of
the
equation
3x
+ 6y = 18?
9. __________
A. -6
B. -3
C. 3
D. 6
10.
Which
of
the
following
equations
represents
the
line that passes through the points (2, -6)
10. _________
3
2
3
2
1
A. y  x  7
B. y   x  3 . y   x  3
D. y   x 
and (-4, 3)?
2
3
2
3
3
Arizona AIMS High School Coach Mathematics Exercises
Lesson 26: Pg. 137 - 141
Lesson 27: Pg. 142 - 147
8. __________
1. _________
5. ________
1. _________
3. ________
2. _________
6. ________
2. _________
4. ________
3. _________
7. ________
3. _________
4. _________
8. ________
Mastering Arizona Mathematics Standards – Strand 3 – High School #6
Review
Day: ____________
+
1.
3
7
6
9
4
2
2.
Lee wants to make a sandwich. He has 5 types of meat, 3 types of cheese, and 2 types
of sandwich spreads. If lee chooses 1 meat, 1 cheese, and 1 sandwich spread, how
many different combinations are possible for his sandwich? A. 10
B. 13
C. 30
D. 33
Sean is selecting an outfit from among 2 pairs of pants, 4 shirts, and 3 pairs of shoes.
How many different outfits consisting of 1 pair of pants, 1 shirt, and 1 pair of shoes are
possible? A. 9
B. 12
C. 24
D. 36
3. Which of the following quadratic equations is solved correctly?
A. x² - 2x – 35 = 0
B. x² + 7x + 6 = 0
C. x² - 9x – 18 = 0 D.
x² - 9x + 20 = 0
(x – 7)(x + 5) = 0
(x + 1)(x + 6) = 0
(x – 6)(x-3) = 0
(x + 4)(x + 5) = 0
X = 7, x = -5
x = 1, x = 6
x = -6, x = -3
x
= -4, x = -5
x
3
7
4. What value of x would make the following proportion true?

x2 4
9
A. -6 B. -2 C. 2 D. 8
Objectives
2
Solve systems of linear equations in two variables.
8
Graph linear inequalities.
Determine distance and midpoint between two points in the coordinate system.
1. What is the distance between the points (4, -2) and (-5, 3)?
5
8

3
6
4
5
1. _________
A. 106 B. 28 C. 26 D. 2
2. __________
3. __________
2. What is the y-value of the solution to the following system of linear equations?
y=x+8
A. -7
B. -5
x + 2y = 1
C. 3
D. 13
3. Which point best represents the solution to the system of linear
equations shown in the graph to the right?
A. (-4, 3)
B. (3. -4)
C. (4, -3)
D. (-3, 4)
4. 4. What is the apparent solution to the system of
equations graphed?
A. (-2, -2)
B. (-2, 2) C. (2, -2)
D. no solution
4. _________
Arizona AIMS High School Coach Mathematics Exercises
Lesson 29: Pg. 154 - 157
Lesson 30: Pg. 158 - 160 Lesson 31: Pg. 161 - 164
1. _________
4. ________
1.
_________
1. _________
2. _________
5. ________
2.
_________
2. _________
3. _________
3. _________
Mastering Arizona Mathematics Standards – Strand 3 – High School #7
Review
+
1.
3
7
5
6
4
1
2
8
2.
The class wants to order pizza for a study session. There are 3 different vegetable
toppings, 3 different meat toppings, and 2 types of crust available. How many different
pizzas are possible with 1 vegetable topping, 1 meat topping, and 1 type of crust?
A. 6 B. 8
C. 12
D.18
John has 3 different flags to fly on his flagpole: red ®, yellow (Y), and blue (B). If all 3
flags are to be flown together, what is the outcome set of how they can be displayed?
A. {R, Y, B} B.{RY, RB, YB} C.{RYD, BRY,YBR} D.{RYB,RBY,BRY,BYR,YRB,YBR}
3. Which expression below has been simplified using the correct procedure?
A. 2 + 4(x + 2)
B. 2 + 5(x – 7)
C. 4 – 7(x + 5) D. 7 – 3(x – 5)
2 + 4x + 8
7(x – 7)
4 – 7x + 5
7 – 3x – 15
4x + 10
7x – 49
-7x + 9
-3x – 8
4. Which procedure correctly simplifies the expression? - (x + 3) – 2(4x – 3)
A. –x – 3 – 8x + 6
-9x + 3

3
6
4
1
1. _________
2. __________
8
B. –x – 3 – 8x – 6
-9x – 9
C. –x + 3 – 8x + 6
-9x + 9
D. –x – 3 – 8x – 3
-9x – 6
5. Which is the correct procedure for solving the inequality? 2y + 8 > 4 – 6y
7
5
2
Day: ____________
A. 2y + 8 > 4 – 6y
8y + 8 > 4
-4y > -4
y>1
B. 2y + 8 > 4 – 6y
-4y + 8 > 4
-4y > -4
y<1
C. 2y + 8 > 4 – 6y
8y + 8 > 4
8y > -4
y>-½
D. 2y + 8 > 4 – 6y
8y + 8 > 4
8y > -4
y<-½
Objectives
Graph a quadratic equation with lead coefficient equal to one.
Solve quadratic equations.
Determine the solution to a maximum/
minimum problem given a graph.
1. The graph above shows the percent of the
moon’s face illuminated for the month of April.
On what day in April did the moon reach its
maximum illumination? A.100 B. 30 C. 17 D. 15
A
B
C
2. Which of the graphs represents
D the graph of the equation? y = x² - 4
3. Chris took an aspirin at 10:00 A.M. The graph shows the
concentration of aspirin in his bloodstream over time. What
3. _________
appears to be the time the concentration was highest?
A. 10:00 A.M.
B.11:00 A.M. C.11:30 A.M. D.12:30 A.M.
Arizona AIMS High School Coach Mathematics Exercises – Lesson 33: Pg. 170 - - 175
1. ________
2. ________
3. ________
4. ________
5. ________
6. ________
Arizona AIMS High School Mathematics Coach- AIMS HS Review Chapter 3 Pg. 176 - 182
1. ________
6. ________
10. ________
14. ________
18. ________
22. ________
2. ________
7. ________
11. ________
15. ________
19. ________
23. ________
3. ________
8. ________
12. ________
16. ________
20. ________
24. ________
4. ________
9. ________
13. ________
17. ________
21. ________
25. ________
5. ________
26. ________