Download Mastering Arizona Mathematics Standards

Mastering Arizona Mathematics Standards – Strand 1 – High School #1

+
9
exponent
1
9
9
2
2
8
3
7
8
8
3
7
6
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3
7
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Review
1. ____
2. ____
Day: ____________
5
1. 2x + 2 = 8
2. x + 2x = 15
6
A. -2 B. 2 C. 3 D. 5
A. -2 B. 2 C. 3 D. 5
6
5
3. ____
4. ____
5
3. 5x + 2 = -8
A. -2 B. 2 C. 3 D. 5
4. 3x + 2 = 4x - 3 A. -2 B. 2 C. 3 D. 5
Objectives
Classify real number subsets: natural, whole, integer, rational, irrational.
Identify properties: commutative, associative, distributive, identity, inverse.
Distinguish between finite and infinite.
2
2

1. The set of real numbers shown below is a subset of which of the following?  ,3, ,0.57 
5
3

A. rationals
B. irrationals
C. integers
D. whole numbers
2. ________
2. Which of the following is an infinite set?
A. integers between -5 and 10
B. whole numbers between -5 and 10
3. ________
C. natural numbers between -5 and 10
D. rational numbers between -5 and 10
3. Which set contains an irrational number?
4. ________
13
12
3
A. {2300, 0.48, } B.{18, 0.1, }
C. { ,4, 52}
D. {0.333..., 4 ,10}
1
5
8
5. ________
4. Which property of real numbers is illustrated? x(y + z) = xy + xz
A. associative property of addition
B. associative property of multiplication
6. ________
C. distributive property
D. commutative property of multiplication
5. Which set of numbers is finite?
7. ________
A. {even numbers between 1 and 89}
B. {real numbers greater than 1}
C.
{rational
numbers
between
1
and
2}
D. {whole numbers with tens digits at zero}
8. ________
6. The set of real numbers shown is the subset of which of the following? { 8 ,  }
A. rationals
B. irrationals
C. integers
D. whole numbers
7. Which of the following addition properties justifies the statement? 2 + 0 = 2
A. commutative B. identity
C. inverse
D. closure
8. Which of the following sets of numbers represents an infinite set?
1 1 1 1
A.{Natural numbers between 0 &10} B. { , , , } C.{Whole numbers} D.{10, 9, 8}
2 4 8 16
Arizona AIMS High School Coach Mathematics Exercises
Lesson 1: Pg. 16 – 19
Lesson 2: Pg. 20 - 23
1. ________
1. _________
5. ________
1. _________
5. ________
2. _________
6. ________
2. _________
6. ________
3. _________
7. ________
3.
_________
7. ________
4. _________
8. ________
4. _________
8. ________
Mastering Arizona Mathematics Standards – Strand 1 – High School #2
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+
3
Day: ____________
exponent
9
1
8
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2
8
7
8
3
4
3
2
4
7
6
7
9
6
Review
1. ____
5
4
1.Which of the following is an infinite set?
A. whole numbers between -4 and 1
B. whole numbers less than 5
C. irrational numbers between -5 and 10
D. integers numbers between -5 and 10
5
2. ____
3. ____
4. ____
5. ____
6
5
A. commutative B. identity C. distributive
Which of the following properties justifies
the statement?
2. 3(1) = 3
3. 8(x + y) = 8x + 8y
4. a + b = b + a
5. 3+(8+a)=3+(a + 8)
Objectives
Word problems.
Simplify numerical expressions.
Apply subscripts.
Use mathematical terminology.
Compute using scientific notation.
Simplify using order of operations.
1. Which of the following are inverse operations?
1. ________
A. multiplication and addition
B. square root and division
C. subtraction and taking square root D. addition and subtraction
2. ________
2. A 4th degree polynomial expression has the form a4 x 4  a3 x3  a2 x 2  a1 x  a0
In the polynomial expression 5 x 4  7 x3  3x 2  8 x  4 , what is the value of a3?
A. -7
B. -3
C. 5
D. 8
3. What is the value of the expression? |-2| - |4| + |3 – 10|
4. ________
A. -9
B. -1
C. 5
D. 13
4. What is the value of the expression? 5 - |4| + |8 – 10|
5. ________
A. -1
B. 3
C. 7
D. 11
5. One night, the low temperature in Flagstaff was -5°F. That same night in Phoenix the low
6. ________
temperature was 40°F. What is the absolute value of the difference between these two
temperatures?
7. ________
A. -45°F
B. -35 °F
C. 35°F
D. 45°F
6. On June 1, Mary had a balance of $50 in her bank account. During June she made the four
8. ________
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
7. The Math Club purchased 150 calendars for $2.00 each. If the club sells the calendars for
$5.00 each, what will be the total profit if all the calendars are sold?
A. $750.00 B. $450.00 C. $300.00 D. $200.00
8. What is the value of the expression? 14 – 4[2 + 3(8 – 5)]
A. 150
B. 69
C. -30
D. -46
Arizona AIMS High School Coach Mathematics Exercises
Lesson 3: Pg. 24 – 27
Lesson 4: Pg. 28 – 30
Lesson 5: Pg. 31 – 34
Lesson 6: 35 - 38
1. ______ 5. ______ 1. ______ 5. ______ 1. ______ 5. ______ 1. ______ 5. ______
2. ______ 6. ______ 2. ______ 6. ______ 2. ______ 6. ______ 2. ______ 6. ______
3. ______ 7. ______ 3. ______ 7. ______ 3. ______ 7. ______ 3. ______ 7. ______
4. ______ 8. ______ 4. ______ 8. ______ 4. ______ 8. ______ 4. ______ 8. ______
3. ________
Mastering Arizona Mathematics Standards – Strand 1 – High School #3
Day: ____________
Review
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1. What is the value of the expression? 5 + |4| + |8 – 10|
1. ________
A. -1
B. 3
C. 7
D. 11
3 2
2. One night, the low temperature in Flagstaff was -5°F. That same 2. ________
night in Phoenix the low temperature was 30°F. What is the
3. ________
8
6
absolute value of the difference between these two temps?
4. ________
A. -45°F
B. -35 °F
C. 35°F
D. 45°F
7
4
3. Which of the following is an infinite set?
5. ________
9
5
A. integers between -5 & 10 B. whole numbers between -5 & 10
C. natural numbers
D. counting numbers between -5 & 10 6. ________
4. Which set contains an irrational number?
7. ________
13
3
3
8. ________
A. {200.1, 8, } B.{18, 0.1, } C. { ,4, 25} D. {0.3257..., 4 ,10}
1
5
8

9. ________
Which property of real numbers is illustrated in #5 - 12?
A. associative B. commutative C. distributive D. identity C.
10.________
2 2
11. ________
5. 3 + (a + b) = (3 + a) + b
6. 3 + (a + b) = 3 + (b + a)
8
6
7. 3(a + b) = 3a + 3b
8. (3 + a) + 0 = 3 + a
12.________
7
4
9. 3 + (a + b) = (a + b) + 3
10. 1(3 + a) = 3 + a
11. 6 + 2 = 2 + 6
12. 9 + ( 1 + a) = (9 + 1) + a
9
5
Objectives
Add, subtract, and perform scalar multiplication with matrices.
1. ________
2. ________
3. ________
4. ________
5. ________
3
Given the matrices: A  
1
6 4
1. 3A
A. 
1 0
2 1 
0 4  3
and B  

 , find…
0  2
 1 0 2 
2 
12  9
9 6 1 
9 6 3 
0
B.
C. 
D. 




 4
3 0  6
3 0  6
 3 0 6 
12  9
0
9 6 1 
9
A. 
B.
C. 


 3 0 2 
3 0  6
3
6  2
3 6  2
3
9 6
3. A + B A. 
B.
C. 


0 0 0 
  2 0  4
3 0
6  2
3  2 4
3
3
4. A – B
A. 
B.
C. 


0
2 0
  2 0  4
 2
9 10 0 
3`` 14  8
3``
5. A + 3B A. 
B.
C.


 2 0  4
 2 0 4 
 2
2. 3B
6 3 
12  9
0
D. 


0  6
 3 0 6 
3 
12  9
0
D. 


 6
 3 0 6 
2 4 
3  2 4 
D. 

0
 4
 4
2 0
14  8 
3`` 14 8 
D.


0  4
  2 0 4
Arizona AIMS High School Coach Mathematics Exercises - Lesson 32: Pg. 165 - 169
1. _______
2. _______
3. _______
4. _______
5. ______
6. ______
Mastering Arizona Mathematics Standards – Strand 1 – High School #4
Day: ____________
Review
+
1. What is the value of the expression? 5 - 4 + |0 – 10|
1. ______
A. -1
B. 3
C. 7
D. 11
2. A plane was flying at 3500 feet above sea level. A submarine 2. ______
9 7
was submerged 300 feet below the surface. When the plane is 3. ______
8
3
directly above the submarine, what distance separates them?
4. ______
A.
-3200
feet
B.
-3800
feet
C.
3200
feet
D.
3800
feet
5
4
5. ______
3. Which of the following is a finite set?
6
2
A. integers between -5 and 10
6. ______
B. whole numbers greater than 10
7. ______
C. rational numbers less than 3 D. irrational numbers
8. ______
4. Which set contains an irrational number?
13
12
3
A. {2300,  , } B.{18, 0.1, } C. { ,4, 36} D. {0.333..., 4 ,10} 9. ______

1
5
8
10.______
Which property of real numbers is illustrated in #5 - 8?
A. associative B. commutative C. distributive D. identity 11.______
9 5
5. 4(a + b) = 4a + 4b
6. 3 + (a + b) = (3 + a) + b
8
3
7. b * 1 = b
8. 3 + 0 = 3
9. 15 + (a + b) = (a + b) + 15
10. 6 + (3 + 2) = (3 + 2) + 6
2
4
11. Solve 3x + 2 = x – 6
A. -4
B. 4
C. -5
D. 3
6
7
Objectives
Solve problems using estimation.
Determine if a solution is reasonable.
Determine rational approximations of irrational numbers.
1. ________
C. 6  33  7
D. 9  91  10
1. Which statement is true? A. 7  65  8 B. 4  13  5
2. Joe has $20.00. A six-pack of soda costs $1.89, including tax. What is the greatest
2. ________
number of six-packs of soda he can buy? A. 5
B. 10
C. 15
D. 20
3. A car made a trip of 352 miles on 16.l8 gallons of gasoline. Which is the closest to the
3. ________
number of miles per gallon the car got on that trip? A.10 mpg B. 20 mpg C.30 mpg D. 40 mpg
4. A family of five went out to dinner. Their bill, including tax, was $70.00.They left a 15% tip
4. ________
on the total cost of their bill. What amount is closest to the total cost of dinner,including tip?
A. $90.00 B. $80.00
C. $75.00 D. $11.00
5. ________
C. 6  56  7
D. 9  80  10
5. Which statement is true? A. 9  65  10 B. 4  20  5
6. Josephine has $30.00. A giant candy bar costs $1.89, including tax. What is the greatest
6. ________
number of candy bars she can buy? A. 15
B. 10
C. 5
D. 20
7.
A
car
made
a
trip
of
452
miles
on
10.3
gallons
of
gasoline.
Which
is
the
closest
to the number
7. ________
of miles per gallon the car got on that trip? A. 45 mpg B. 40 mpg C. 50 mpg D. 35 mpg
8.
A family of five went out to dinner. Their bill, including tax, was $98.00.They left a 15% tip
8. ________
on the total cost of their bill. What amount is closest to the total cost of dinner,including tip?
A. $15.00 B. $83.00
C. $115.00 D. $128.00
Arizona AIMS High School Coach Mathematics Exercises – Lesson 7: Pg. 39 - 41
1. ______
2. ______
3. ______
4. ______
5. ______
6. ______
Arizona AIMS High School Mathematics Coach- AIMS HS Review Pg. 42 - 44
1. ________
5. ________
9. ________
13. ________
2. ________
6. ________
10. ________
14. ________
3. ________
7. ________
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15. ________
4. ________
8. ________
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