slope
x 3 4 5 y 5 7 9 Find the slope of the line from the above table
What is a slope of 2
x + 7 < 8
x < 1
Is it a function? Justify your answer. {(2, 3), (4, 5), ( -2, 6)}
Yes, each input has exactly one output.
The human ear can hear sounds between 20 Hz and 20,000 Hz. Write this as an inequality using variable x.
20 < x < 20,000
Simplify. 8b + 3b
11b
x -1 1 3 y 1 7 13 Find the slope of the line from the above table
What is a slope of 3
b - 9 ≥ -20
b ≥ -11
Using the vertical line test, does the graph of the points (1,3) and (1,5) represent a function?
No, the points fail the Vertical Line Test.
A welterweight boxer must weigh more than 140 pounds but at most 147 pounds. Write an inequality in x for the weight range
140 < x <= 147
Simplify. 19x - 24x
-5x
x 0 -1 -2 y 1 3 5 Find the slope of the line from the table above
What is a slope of -2
4x > 24
x > 6
Is it a function? Justify your answer.x y 2 4 1 5 2 6
No, the input of 2 has two different outputs.
A club wants to sell 350 tickets. The actual sales were no more than 35 tickets from this goal. Write an inequality in x to represent the range of tickets sold.
|x - 350| <= 35
Simplify. 3 + 5(a + 4)
5a + 23
x 1 2 3 y 4 -2 -8
What is a slope of -6
m/3 ≤ 12
m ≤ 36
You and a friend are studying for a quiz. You want to get a higher score than your friend, so you decide to spend exactly 20 more minutes studying than your friend does. The relationship between these two variables can be expressed by the equation y=x+20, where x is the number of minutes your friend spends studying, and y is the number of minutes you spend studying. Identify the independent (x) and dependent (y) variables.
Independent (x) Variable: The number of minutes your friend spends studying. Dependent (y) Variable: The number of minutes you spend studying.
The temperature at noon was 88 degrees F. During the day, the temperature varied by as much as 7.5 degrees F. Write an inequality in x for the range of temperatures.
|x - 88| <= 7.5
Simplify. - (2b - 4)
-2b + 4
x 4 3 2 y 8 6 4
What is a slope of 2
-2x < 18
x > -9
Identify the independent (x) and dependent (y) variables: On your math quiz, you earn 5 points for each question that you answer correctly.
Independent Variable: Number of questions answered correctly. Dependent Variable: Score on the quiz.
A company is hiring trainees with less than 1 year of experience and managers with 5 or more years of experience. Write an inequality in x to represent this situation.
x < 1 OR x >= 5
Simplify. 7(t + 8.5) - 5t + 4
2t + 63.5