55. Find the range of y = 2x + 1.

a. all real numbers
b. all positive numbers
Not sure..

67. Name the Property: -2 + (10+1) = (-2 + 10) + 1
a. Commutative Property of Multiplication
b. Inverse property of addition
c. Commutative Property of Addition
d. Associative Property of Addition
I think it might be C or D

73. Which of the following are in function notation?
a. y = mx + b
b. f(x) = 3x - 1
c. x = 2x + 1
d. (4,5)
B?

75. Name the property: 7 + (4 + 4) = (7 + 4) + 4
a. Inverse Property of Addition
b. Associative Property of Addition
c. Commutative Property of Multiplication
d. Commutative Property of Addition
I'm stuck between B and D...

99. Which property describes (ab)3 = a(b3)?
a. Inverse Property of Multiplication
b. Associative Property of Addition
c. Associative Property of Multiplication
d. Commutative Property of Multiplication
C or D...

Thanks
-MC

55. The range of a function is the set of all possible y values. Here anything goes, so a)

67 & 75 same kind of question --> assoc. prop addition

99. c

Thanks!!

-MC

55. To find the range of a linear function like y = 2x + 1, we need to consider the possible values of y. Since the coefficient of x is positive (2), the function will increase as x increases. Therefore, the range of y will be all real numbers. So, the answer is a. all real numbers.

67. To identify the property used in the equation -2 + (10+1) = (-2 + 10) + 1, we need to understand the properties of addition. The property used here is the associative property of addition, which states that changing the grouping of the numbers being added does not change their sum. So, the answer is d. Associative Property of Addition.

73. Function notation is usually represented as f(x) = equation. Looking at the options, only option b. f(x) = 3x - 1 is written in function notation. The others are either standard equations or coordinates. So, the answer is b. f(x) = 3x - 1.

75. To identify the property used in the equation 7 + (4 + 4) = (7 + 4) + 4, we need to understand the properties of addition. The property used here is the associative property of addition, which states that changing the grouping of the numbers being added does not change their sum. So, the answer is b. Associative Property of Addition.

99. To find the property that describes (ab)3 = a(b3), we need to compare it to the properties of multiplication. In this equation, the parentheses indicate the grouping of the factors. The property used here is the associative property of multiplication, which states that changing the grouping of the factors does not change their product. So, the answer is c. Associative Property of Multiplication.

So, the final answers are:

55. a. all real numbers
67. d. Associative Property of Addition
73. b. f(x) = 3x - 1
75. b. Associative Property of Addition
99. c. Associative Property of Multiplication