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WorksheetsLinear 1 2023-2024
Total questions: 37
Worksheet time: 1hrs 15mins
A line contains the points (-2,3) and (4,-5). What is the slope of the line?
A graph of a linear function is shown on the grid.
What is the rate if change of y with respect to x for this function?
1/4
4
1/5
5
The number of kilograms of water, w, in a person’s body varies directly as the person’s mass, m. If m = 90 when w = 60, what is the value of w when m = 75?
50
72
94
150
In which table does y vary directly as x?
Determine the value of m in the equation y =mx+b for al ine passing through the points
(12,-2) and (4, -6).
-1/2
5/7
-2
1/2
Determine the value of b in the equation y =mx+b for al ine passing through the points
(12,-2) and (4, -6).
-8
-4
2
not here
Which of the following statements shows a causation?
An individual's decision to work in construction and his diagnosis of skin cancer.
A decrease in temperature and the increase in attendance at an ice skating rink.
As a person's weight increases, so does their vocabulary.
The number of minutes spent exercising and the amount of calories burned.
y = 2x + 3
Kelsey had 100 rocks before joining the rock club at school. After joining the rock club, Kelsey collected 25 rocks per week. What equation below represents how many weeks, x, it will take Kelsey to collect y rocks?
y = 25x - 100
y = 100x + 25
y = 100 + x + 25
y = 25x + 100
The graph of a linear function is shown on the grid.
Determine the value of m in the equation y = mx+b for this line.
-1/3
1/3
3
-3
The graph of a linear function is shown on the grid.
Determine the value of b in the equation y = mx+b for this line.
-1
3
-2
0
The table shows the distance a balloon traveled from the ground. The balloon traveled at a constant rate. According to the table, what is the rate of speed the balloon ascent?
Speed: 3.5 feet/second
Speed: 4.25 feet/second
Speed: 3 feet/second
Speed: 5 feet/second
The table shows the profit from a school book fair, based on the number of books sold.
Based on the table, which equation models this situation?
y = 225x-22450
y = 1.50x-100
y = 2.25x-175
y = .67x-17
y varies directly with x, and y is 84 when x is 16. What is the value of x when y is 21?
9
6
8
4
Does the equation represent direct variation?
Based off the graph, which of the following is a true statement?
About 2 cm of rain fell each hour
About 4 cm of rain fell in 4 hours
About one cm of rain fell each hour
About 5 cm of rain fell in 5 hours
Does this equation represent direct variation?
y=2x
Does this represent a proportional relationship?
yes
no
The following graph models the linear relationship that DJ Mark charges based on the time spent DJing. Based of the graph, Which of these best represents the rate of change of the amount spent with respect to the time spent DJing?
$175 per hour
$250 per hour
$100 per hour
$75 per hour
What is the y-intercept of the graph of y = -3/4x+2
(2, 0)
(0, 2)
(3, 0)
(0, 3)
(-3, 4)
Which graph has a slope of zero?
1
2
3
4
Which of the following statements are true about the graph? There can be more than one answer.
The line represents a direct variation
Line has a negative k-value
The constant of proportionality of the line is 3/1 or 3.
The point (30, 10) would be included on the line
The line is proportional.
Write the equation for the line.
y = -1/4x + 3
y = 4x + 3
y =1/4x + 3
y = -4x + 3
As the number of hours worked increases, _________.
the number of workers decreases
the amount of money earned decreases
the number of workers increases
the amount of money earned increases
The table shown is comparing a person's foot length to their height in cm.
Which correlation describes the strength of the linear association?
strong positive
weak positive
strong negative
weak negative
The table shown is comparing a person's foot length to their height in cm. Use the regression equation to estimate the height when the foot length is 28.
172
181
156
163
Which graph has a slope of undefined?
1
2
3
4
What are the equation and slope of this line?
x = 3, slope is zero
y = 3, slope is zero
x = 3, slope is undefined
y = 3, slope is undefined
x = 4
y = -6
What is the equation of the line shown in the graph?
y = 0
y = 1
y = 2
x = 1
