WorksheetsJWA Gr 8 yr 24-25 first term revision
Total questions: 252
Worksheet time: 9hrs 22mins
which equation have 12 y intercept and with slope of 6
y=6x+7
y=-12x+6
y=12x +6
y=6x+12
Does the table represent a proportional relationship?
Yes.
No.
Is the given table a proportional relationship? If so, what is the unit rate?
Yes; 1/3
Yes; 3
Yes; 5
No
Does the table represent a proportional relationship?
Yes
No
Which table shows a proportional relationship?
Which table shows a proportional relationship between the distances on a map and the actual distances?
What makes a graph proportional?
It is a straight line.
It goes through the origin.
It does not go through the origin.
If it goes down instead of up.
Which of the following tables are proportional? (You may select more than one!)
What is the unit rate for the table?
$1 / 3 watermelon
$3 / 1 watermelon
1/3 watermelon / pound
$0.33 / 1 watermelon
Which graph is proportional?
Which equation would math this proportional relationship?
y = 45x
y = 15x
y = 30x
y = 20x
Does the following table represent a proportional relationship? If so identify the constant of proportional and create an equation to represent it.
Proportional; k = 1/40 pages per day; y=1/40x
Proportional; k = 40 pages per day; y=40x
Not Proportional
Proportional; k = 40 days per pages; y=40x
Does the following table represent a proportional relationship? If so, identify the constant of proportionality and create an equation to represent it.
Proportional; k=8; y=8x
Not Proportional
Proportional; k = -8; y=-8x
Proportional; k=1/8; y=1/8x
k = 15 gallons of water per minute
k = 1/15 gallons of water per minute
k = 15 minutes per gallon of water
k = 1/15 minute per gallons of water
What is the y-intercept of the line with the equation
y = −2x + 4
−2
2
4
−4
What is the slope of the line with the equation
y = −23x + 4
−23
23
4
−4
Graph the line with the equation
y = −32x + 4
Graph the line with the equation
y = −31x − 4
Write the equation for the line.
y= -1x+3
y= 4x+3
y=(1/4)x+3
y= -4x+3
Write the equation in slope intercept form of a line that passes through the given pair of points: (-2, -3), (4, 3)
y =x + 1
y = x - 1
y = -x + 1
y = -x - 1
Determine the slope and y-intercept of the line
y=23x+3slope: 5 y-intercept: (0,3)
slope: 3/2 y-intercept: (0,3)
slope: 4 y-intercept: (0,3/2)
slope: 1/5 y-intercept: (0,5)
Find the slope of the line that passes through points
(1, -19) and (-2, -7)
-4
4
1/4
-1/4
Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10
y=12x-10
y=10x+12
y=12x+10
x=10x-12
What is the y-intercept of the line with the equation
y = −2x + 4
−2
2
4
−4
What is the slope of the line with the equation
y = −23x + 4
−23
23
4
−4
Graph the line with the equation
y = −32x + 4
Graph the line with the equation
y = −31x − 4
Write the equation for the line.
y= -1x+3
y= 4x+3
y=(1/4)x+3
y= -4x+3
Write the equation in slope intercept form of a line that passes through the given pair of points: (-2, -3), (4, 3)
y =x + 1
y = x - 1
y = -x + 1
y = -x - 1
Determine the slope and y-intercept of the line
y=23x+3slope: 5 y-intercept: (0,3)
slope: 3/2 y-intercept: (0,3)
slope: 4 y-intercept: (0,3/2)
slope: 1/5 y-intercept: (0,5)
Find the slope of the line that passes through points
(1, -19) and (-2, -7)
-4
4
1/4
-1/4
Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10
y=12x-10
y=10x+12
y=12x+10
x=10x-12
-10x + 2y = 14
5x - y = 16
2x + 2y = 6
Write equation of the line containing (3,2) and (4,4)
y = 1/2x + 2
y = 2x - 4
y = 1/2x + 4 1/2
y = -2x + 12
Through (2,5) and m= 1/2
Through (-1,4) and m= -3
Through (1,5) and m= 3
What is the equation of a line with a slope of 4 and a y-intercept of 2?
y = -4x + 2
y = -2x + 4
y = 4x + 2
y = 2x + 4
What is the equation of a line when m = -3 and b = 5?
y = -3x + 5
y = -3x - 5
y = 5x + 3
y = -5x - 3
What is the equation of a line when m = -7 and b = -8?
y = -7x + 8
y = -7x - 8
y = 7x - 8
y = 7x + 8
What is the equation of a line with a slope of 2 and a y-intercept of -5?
y = 5x - 2
y = 2x - 5
y = -2x - 5
y = 2x + 5
What is the equation of a line when m = -7 and b = -8?
y = -7x + 8
y = -7x - 8
y = 7x - 8
y = 7x + 8
y-intercept: 1
y-intercept: -1
y-intercept: 1
y-intercept: 0
y = mx + b
Given the two points: (0, 6) and (6,18), write the equation of the line.
y = 2x + 6
y = 1/2x + 6
y = 1/3x + 6
y = 3x + 6
(4, -7); m = -1/4
(-2, -1); m= -3
Which of the following is the equation of the line that has a slope of 3 and passes through the point (0, 9)?
y = -3x + 12
y = 3(x + 9)
y = 3x + 9
y = 3x - 3
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, 0); m = 7
y - 4 = 7(x + 0)
y - 0 = 7(x - 4)
y = 7x + 4
y = 7x + 0
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
What two things do you NEED to write an equation in point-slope form?
a slope and a y-intercept
a slope and a x-intercept
a slope and a point
two points on the line
Write the equation of the line with slope -2 through the point (7, −1).
y = −2x + 15
y = −2x − 15
y = −2x + 13
y = −2x − 13
Write the equation of the line with slope 3/5 through the point (20, 6).
y = 3/5x − 6
y = 3/5x +18
y = 3/5x − 18
y = 3/5x + 6
Write the equation of the line through the points (−6, −19) and (2, 5).
y = −7/2x + 12
y = 3x + 11
y = −7/2x − 40
y = 3x − 1
Write the equation of the line through the points (7, 8) and (−12, −11).
y = x + 1
y = x + 15
y = −x − 1
y = −x − 23
If a line passes through (0,6) and has a slope of 2, what is the equation for the line?
y = 2x
y = 2x + 6
y = 6x + 2
y = 2x - 6
If a line passes through (0,8) and (2,6) what is the equation for the line?
y = x + 8
y = -x + 8
y = 2x + 8
y = 2x + 6
y-2= 3(x+1)
Write the point-slope form of the equation of each line given the slope and y-intercept.
Slope = -2/3 ; y-intercept = -4
y - 4 = 2/3x
y = -2/3 (x - 4)
y - 4 = 3/2x
None of these
Write the point-slope form of the equation of each line given the slope and y-intercept.
Slope = 3/2 ; y-intercept = 1
y = -5/2 (x + 1)
y - 1 = -x
y = -(x - 1)
y + 1 = 3/2 x
Write the point-slope form of the equation of each line given the slope and y-intercept.
Slope = 5/4 ; y-intercept = 1
y = -1/4 (x - 1)
y = -(x + 1)
y = 4(x - 1)
y + 1 = 5/4x
Write the point-slope form of the equation of each line given the slope and y-intercept.
Slope = 3/5 ; y-intercept = 1
y - 1 = -1/5x
y + 1 = 1/5x
y - 1 = 3/5x
y = -1/5 (x - 1)
(10, 1) and (5, 2)
(10, 1) and (5, 2)
What is the slope of the line with the equation 2x - 3y = 18 ?
2/3
- 2/3
3/2
-3/2
What is the slope of the line with the equation 4x - y = - 12
4
1/4
-4
-1/4
What is the slope of the line that passes through these two points (0, -2) and (3, -4)?
2/3
-2/3
3
-2
What is the slope of the line that passes through these two points (8, 4) and (5, 3)?
3
-1
-1/3
1/3
What is the equation of a line with a slope of 4 and a y-intercept of 2?
y = -4x + 2
y = -2x + 4
y = 4x + 2
y = 2x + 4
What is 'b' in this linear equation? y= 5x - 6
6
5
y
-6
What is the equation by looking at this graph?
y= x + 3
y= -x + 2
y= 2x + 2
y= x + 2
(-4, 3) and (-4, -7)
(8,5) and (-9, 5)
6x - y = 1
5x - 4y = -20
Solve this equation for y:
−6x+3y=9
y = 2x + 9
y = 6x - 3
y = 2x + 3
y = 6x + 9
Solve this equation for y:
10x −5y=30
y = 2x - 6
y = -2x + 6
y = -10x + 30
y = 10x - 30
x - 5y = 10
y=-5x+5
y=-x+5
y=x+1
y=-x+1
y=1/2x+5
y=-1/2x+5
y=-1/2x-5
y=1/2x-5
When converting the equation
2x + 4y = 8
into slope-intercept form, the first step to solve for y would be to ____________.
subtract 2x from each side
subtract 4y from each side
add 2x to each side
add 4y to each side
After subtracting 2x from each side, the resulting equation is shown below:
2x + 4y = 8
4y = -2x + 8
The final step to solve for y would be to ____________.
divide each term by 4
divide each term by -4
add 4 to each side
subtract 4 from each side
Which equation matches the graph? (Click me to see the image)
y = -1/4x + 2
y = 1/4x + 2
y = 1x + 4
y = 4x + 2
How would you write the equation of a line with a slope of 2/3 and a y-intercept of -3
y=3/2x+3
y=2/3-3
y=2/3x-3
y=2/3x+3
Determine the slope and y-intercept from the following equation: y = 3/2x + 3
slope: 2/3 y-intercept: (0,3)
slope: 3/2 y-intercept: (0,3)
slope: -3/2 y-intercept: (0,3)
slope: 3 y-intercept: 3/2
This line has a __________ slope.
Negative
Positive
Undefined
No Slope
When the slope is -2, what is our rise/run?
1/-2
-2/-1
-2/1
1/2
This line has a __________ slope.
Negative
Positive
Undefined
No Slope
Which is the graph of the equation ?
y = −x + 2A
B
C
D
Which is the graph of the equation y = -2x + 1?
Which graph best represents the equation y = -3x + 4?
y = 75x
y = 75x
y= 3.75x + 2
The video game rental fee is $15 plus $3 per day.
y = 75x
y= 3.75x + 2
The video game rental fee is $15 plus $3 per day.
A personal pizza is $7.00 plus $0.50 per topping.
Proportional
Non Proportional
The video game rental fee is $15 plus $3 per day.
On a two-week job, a repairman works a total of 70 hours. he charges $75 plus $40 per hour. Which equation shows his rate of pay?
y = 40x +75
y = 75x + 40
y = 45x + 70
y = x
