Download Mastering Arizona Mathematics Standards

Mastering Arizona Mathematics Standards – Strand 5 – High School #1
Day: ____________
Review
+
1. The set of real numbers shown below is a subset of which of the following?
2
2

 ,3, ,0.57 
3 7
5
3

6
9
A. rationals
B. irrationals
C. integers D. whole numbers
2. Which of the following is an infinite set?
5
2
A. integers between -5 and 10
B. whole numbers between -5 and 10
8
5
C. natural numbers between -5 and 10
D. rational numbers between -5 and 10
3. What is the value of the expression? |-2| - |4| + |3 – 10|
A. -9
B. -1
C. 5
D. 13
4. 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
Objectives: Determine whether a procedure for simplifying is valid.
Select and/or determine the purpose of an algorithm.
1. Which expression below has been simplified using the correct procedure?
A. 2 + 4(x + 2)
2 + 4x + 8
4x + 10
B. 2 + 5(x – 7)
7(x – 7)
7x – 49
C. 4 – 7(x + 5)
4 – 7x + 5
-7x + 9
D. 7 – 3(x – 5)
7 – 3x – 15
-3x – 8
2. Which procedure correctly simplifies the expression? - (x + 3) – 2(4x – 3)
A. –x – 3 – 8x + 6 B. –x – 3 – 8x – 6
C. –x + 3 – 8x + 6
D. –x – 3 – 8x – 3
-9x + 3
-9x – 9
-9x + 9
-9x – 6
3. Which is the correct procedure for soling the linear inequality? 2y + 8 > 4 – 6y
A. 2y + 8 > 4 – 6y B. 2y + 8 > 4 – 6y
C. 2y + 8 > 4 – 6y
D. 2y + 8 > 4 – 6y
8y + 8 > 4
-4y + 8 > 4
8y + 8 > 4
8y + 8 > 4
-4y > -4
-4y > -4
8y > -4
8y > -4
y>1
y<1
y>-½
y<-½
4. 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
5.
Step 1: Isolate the variable.
Step 2: Take the square root of both sides of the equation. You now have your answer.
Which of these equations can be solved by the algorithm above?
I. x² - 2x – 3 = 0
II. X + 5 = 0
III. x² - 9 = 0
IV. x3 + 2x + 6 = 0
A. I
B. II
C. III
D. IV
6. Which of the following could be a correct procedure for solving the inequality?
4x + 6 < 6x + 15
A. 4x + 6 < 6x + 15
B. 4x + 6 < 6x + 15
C. 4x + 6 < 6x + 15
-2x = 6 < 15
-2x + 6 < 15
-2x + 6 < 15
-2x < 9
-2x < 21
-2x < 9
9
21
9
x
x 
x
2
2
2
Arizona AIMS High School Coach Mathematics Exercises
Lesson 45: Pg. 250 - 253
Lesson 46: Pg. 254 - 258
1. _________
5. ________
1. _________
5. ________
2. _________
6. ________
2. _________
6. ________
3. _________
7. ________
3. _________
7. ________
4. _________
4. _________
3
7
6
9
Mastering Arizona Mathematics Standards – Strand 5 – High School #2
Review
+
1. Which set contains an irrational number?
5
2
8
9
5
2
3
7
4
5

9
2
8
3
7
4
6
5
13
12
3
} B.{18, 0.1, }
C. { ,4, 52}
D. {0.333..., 4 ,10}
1
5
8
2. Which property of real numbers is illustrated? x(y + z) = xy + xz
A. associative property of addition B. associative property of multiplication
C. distributive property
D. commutative property of multiplication
3. What is the value of the expression? 5 - |4| + |8 – 10|
A. -1
B. 3
C. 7
D. 11
4. One night, the low temperature in Flagstaff was -5°F. That same night in
Phoenix the low temperature was 40°F. What is the absolute value of the
difference between these two temperatures?
A. -45°F
B. -35 °F
C. 35°F
D. 45°F
3 2 1 
0 4  3
5. Given the matrices: A  
and B  

 , find A +
1 0  2
 1 0 2 
3B
9 10 0 
3`` 14  8
3`` 14  8 
3`` 14 8 
A. 
B.
C.
D.




 2 0  4
 2 0 4 
  2 0  4
  2 0 4
A. {2300, 0.48,
8
6
Day: ____________
Objectives
Evaluate situations, select problem-solving strategies, draw logical conclusions,
develop and describe solutions and recognize their applications.
1. Let n be any even integer. Which of the following is always true about (n + 5)?
A. (n + 5) is an odd integer
B. (n + 5) is an even integer
C. (n + 5) is a prime integer
C. (n + 5) is the same as (n – 5)
2. If the sum of the measures of two angles is 90°, then the angles are complementary. In triangle
ABC, mA = 25°, mB = 65°, mC = 90°. Which valid
conclusion follows directly from the previous statements?
A. C is a complementary angle.
B. B and C are complementary angles.
C. A and C are complementary angles.
D. A and B are complementary angles.
3. The statements below are out of order.
W: If blitz, then kerd.
X: If mot, then det.
Y: If kerd, then mot.
Z: If toc, then blitz.
Which of the following puts the nonsensical if-then statements in logical order?
A. W→Z→X→Y
B. Z→W→Y→X
C. W→Y→X→Z
D. Z→X→Y→W
Arizona AIMS High School Coach Mathematics Exercises
Lesson 47: Pg. 259 - 263
Lesson 48: Pg. 264 - 269
Lesson 49: Pg. 270 - 274
1. _________ 5. _________ 1. ________
5. _________
1. ________
4. _________
2. _________ 6. ________
2. ________
6. _________
2. ________
5. _________
3. _________ 7. ________
3. ________
3. ________
4. _________ 8. ________
4. ________
Arizona AIMS High School Coach Mathematics - Chapter 5 AIMS HS Review – Pg. 275 - 278
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