The cost of a telephone call is $0.75 + $0.25 times the number of minutes. Write an algebraic expression that models the cost of a telephone call that lasts t minutes.
The algebraic expression that models the cost of a telephone call that lasts t minutes can be written as:
0.25t + 0.75
Name the subset(s) of real numbers to which the number zero belongs. Choose all that apply.
(1 point)
Responses
irrational numbers
irrational numbers
integers
integers
whole numbers
whole numbers
natural numbers
The subset(s) of real numbers to which the number zero belongs are:
- Integers: Zero is an integer because it can be expressed as 0/1, where 0 is an element of the set of integers.
- Whole numbers: Zero is also a whole number as it is a non-negative integer and does not have a fractional or decimal part.
Find the square root of 0.81.
(1 point)
Responses
0.9
0.9
9
9
81
81
0.09
The square root of 0.81 is 0.9.
Find the square root of 25.
(1 point)
Responses
125
125
5
5
10
10
0.05
The square root of 25 is 5.
Write an algebraic expression for the following word phrase: the quotient of r and 12.
(1 point)
Responses
r • 12
r • 12
r + 12
r + 12
r ÷ 12
r ÷ 12
r – 12
The algebraic expression for the word phrase "the quotient of r and 12" is r ÷ 12.
Write a word phrase for the algebraic expression 3x - 7.
(1 point)
Responses
the difference of three times a number x and seven
the difference of three times a number x and seven
the difference of seven and three times a number x
the difference of seven and three times a number x
three times a number x fewer than seven
three times a number x fewer than seven
the quotient of three times a number x and seven
A word phrase for the algebraic expression 3x - 7 is "the difference of three times a number x and seven".
Simplify the expression: 42 + 8 ÷ 2.
(1 point)
Responses
12
12
20
20
8
8
16
To simplify the expression 42 + 8 ÷ 2, we need to follow the order of operations (PEMDAS) which states that division should be done before addition.
First, we solve the division: 8 ÷ 2 = 4.
Then, we perform the addition: 42 + 4 = 46.
Therefore, the simplified expression is 46.