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WorksheetsCURRENT - 20221202
Total questions: 223
Worksheet time: 5hrs 44mins
What is the slope of the graph of y=12x−19 ?
−19
−1912
1219
12
Which value of x makes the equation 1.25(4x−10)=7.5 true?
3.5
-1
-0.5
4
Which function is equivalent to g(x)=x2+15x−54 ?
g(x)=(x+9)(x−6)
g(x)=(x+18)(x−3)
g(x)=(x−9)(x+6)
g(x)=(x−18)(x+3)
The table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years since the trees were planted.
What is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted?
14 ft/yr
3 ft/yr
7 ft/yr
10 ft/yr
Which graph best represents −5y=−6x+15 ?
Which expression is equivalent to (10+7r−r2)+(−6r2−18+5r) ?
−7r2+2r+8
7r2+12r+8
−7r2+12r−8
7r2+2r−8
The graph of a linear function is shown on the grid.
What is the rate of change of y with respect to x for this function?
(a)
The graph of a linear function is shown on the grid.
Which equation is best represented by this graph?
y+2=57(x+7)
y−2=57(x−7)
y+2=75(x+7)
y−2=75(x−7)
Which expression is equivalent to 24x2−22x+5 ?
(12x+5)(2x+1)
(8x−5)(3x−1)
(12x−5)(2x−1)
(8x+5)(3x+1)
Which expression is equivalent to 210d2−63d ?
21d(10d−3)
21d(10d+3)
21(10d+3)
21(10d−3)
The table shows a linear relationship between x and y.
What is the rate of change of y with respect to x?
−29
92
−92
29
What is the solution to −(6m+8)=4(17−m) ?
(a)
Which function is equivalent to y=3(x+2)2+7 ?
y=3x2+12x+33
y=3x2+12x+19
y=3x2+19
y=3x2+33
Which table shows y as a function of x?
Which function is equivalent to q(x)=9x2−24x+16 ?
q(x)=(9x−4)(x−4)
q(x)=(3x+4)2
q(x)=(9x+4)(x+4)
q(x)=(3x−4)2
The graph of a linear function is shown on the grid.
Which function is best represented by this graph?
g(x)=6x+4
g(x)=4x−32
g(x)=−23x+6
g(x)=−32x+4
The values in the table represent a linear relationship between x and y.
What is the rate of change of y with respect to x?
10
17
−10
−17
Given g(x)=x2−6x−16 , which statement is true?
The zeros are -8 and 12, because the factors of g are (x+8) and (x−2) .
The zeros are -8 and 2, becase the factors of g are (x+8) and (x+2) .
The zeros are -2 and 8, because the factors of g are (x+2) and (x−8) .
The zeros are 2 and 8, because the factors of g are (x−2) and (x−8) .
The graph of linear function g passes through the points (−7,−4) and (7,6) , as shown.
What are the slope and y-intercept of the graph of g ?
The slope is 75 , and the y-intercept is −1 .
The slope is 75 , and the y-intercept is 1 .
The slope is 57 , and the y-intercept is −1 .
The slope is 57 , and the y-intercept is 1 .
What is the solution to 4(y−3)+19=8(2y+3)+7 ?
−21
21
−2
2
Given p(x)=−4(x−15)2+2 , what is the value of p(7) ?
(a)
The table of values shows a linear relationship between x and y.
What is the slope of the line represented by the table of values?
−58
−85
58
85
Which expression is a factored form of 2x2−25x+63 ?
(x+9)(2x+7)
(x−9)(2x−7)
(x+7)(2x+9)
(x−7)(2x−9)
The graph of a linear function is shown on the grid.
What is the rate of change of y with respect to x for this function?
97
−97
43
−43
Which expression is equivalent to (23p+1)(21p+3) ?
2p2+3
4p2+3
43p2+5p+3
43p2+10p+3
Which expression is equivalent to 16w2+24w+9 ?
(4w+3)2
(4w−3)2
(8w+3)2
(8w−3)2
A contractor’s total earnings from a job include a fixed amount plus an amount based on the number of hours worked. The values in the table represent the linear relationship between the number of hours worked and the contractor’s total earnings in dollars.
What is the rate of change of the contractor’s total earnings in dollars with respect to the number of hours worked?
$8.75 per hour worked
$9.25 per hour worked
$10.00 per hour worked
$20.00 per hour worked
Which statement best represents the equation of the line shown on the grid and its relationship to the x-axis?
The equation of the line is x=2.5 , and the line is parallel to the x-axis.
The equation of the line is x=2.5 , and the line is perpendicular to the x-axis.
The equation of the line is y=2.5 , and the line is parallel to the x-axis.
The equation of the line is y=2.5 , and the line is perpendicular to the x-axis.
Which expression is equivalent to 9n2−25 ?
(3n−5)2
(3n+5)(3n−5)
9(n−4)2
9(n+4)(n−4)
Linear function t has an x-intercept of -1 and a y-intercept of 5. Which graph best represents t?
The value of y is directly proportional to the value of x. When x = 3.5, the value of y is 14. What is the value of y when x = 28?
(a)
The table represents some points on the graph of linear function, f.
Which function represents f?
f(x)=26(x−2)
f(x)=−26(2x−1)
f(x)=13(x−2)
f(x)=−2(26x−1)
Which expression is equivalent to x2 + 10x+24 ?
(x+1)(x+24)
(x+2)(x+12)
(x+3)(x+8)
(x+4)(x+6)
Which expression is equivalent to 35m2−63 ?
7(5m2−9)
−7(5m2+9)
7m(5m−9)
−7m(5m+9)
The graph of quadratic function r is shown on the grid.
Which answer choice best represents the intercepts of the graph of r?
x-intercept:
(5, 0)
y-intercepts:
(0, 10) and (0, −2)
x-intercepts:
(0, −10) and (0, 2)
y-intercept:
(−5, 0)
x-intercept:
(0, 5)
y-intercepts:
(10, 0) and (−2, 0)
x-intercepts:
(−10, 0) and (2, 0)
y-intercept:
(0, −5)
A worker is packing items in boxes. The table shows the linear relationship between the number of items the worker has packed in boxes after different amounts of time.
Which statement describes the rate of change of the number of items the worker packed in boxes with respect to the number of minutes the worker has been packing items in boxes?
The worker packed 8 items in boxes per minute.
The worker packed 37 items in boxes per minute.
The worker packed 4 items in boxes per minute.
The worker packed 15 items in boxes per minute.
Solve for g:
2(g+1)+1=4g−3
(a)
Solve for x:
−3(x−5)−10=−7x+1
(a)
Solve for x:
2+4(x+5)=3(4−x)+5
(a)
Solve for x:
4(1-x) + 3x = -2(x+1)
(a)
Solve:
5y + 34 = -2(-7y+1)
(a)
Solve:
−(h−3)+50=16+7(h+9)
(a)
Solve:
−2(9+3x)−1=−4(6x+9)+5
(a)
Find the slope of the line that passes through:
(-3, -4) and (7, 6)
(a)
Find the slope of the line that passes through:
(-4, 7) and (-6, -4)
(a)
What is the slope?
(a)
What is the slope?
(a)
What is the slope?
(a)
What is the slope?
(a)
What is the slope?
(a)
What is the slope?
(a)
What is the slope?
(a)
What is the slope?
(a)
Identify the x-intercept of the graph.
(-4, 0)
(0, -2)
(0, -4)
(-2, 0
Identify the y-intercept of the graph.
(0, 3)
(-1, 0)
(0, -1)
(3, 0)
Identify the graph with a x-intercept of 3 and a y-intercept of - 1
Identify the graph with a x-intercept of -2 and y-intercept of 2
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)
Given the list of ordered pairs, what is the y-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)
(8,10)
10, -4, 8, -3, 0
(0,8)
(9,0)
Which letter represents the slope?
m
b
y
x
Which letter represents the y-intercept?
m
b
y
x
Which letter represents the input?
m
b
y
x
Which letter represents the output?
m
b
y
x
What is the slope?
y=2x−5
(a)
What is the slope?
y=x+3
(a)
What is the slope?
y=53x−1
(a)
What is the slope?
y=−25x−31
(a)
What is the slope?
y=−2
(a)
What is the slope?
y=x
(a)
What is the y-intercept?
y=−x
(a)
What is the y-intercept?
y=2x−5
(a)
What is the y-intercept?
y=x+3
(a)
What is the y-intercept?
y=53x−1
(a)
What is the y-intercept?
y=−25x−31
−31
−25
25
31
What is the y-intercept?
y=−2
(a)
What is the y-intercept?
y=x
(a)
What is the slope?
y=−x
(a)
The table shown represents a linear function.
Which equation best represents the function?
y=x+4
y=x−4
y=−4x
y=4−x
The table shown represents a linear function.
Which equation best represents the function?
y=3x−3
y=−3−3x
y=3−3x
y=−3x+3
The table shown represents a linear function.
Which equation best represents the function?
y=32x−2
y=32x+2
y=−2x−1
y=2x+1
The table shown represents a linear function.
Which equation best represents the function?
y=2x+4
y=2x−4
y=2
y=4
y
output
m
slope
x
input
b
y-intercept
A linear function is represented on the graph shown. What is the slope of the function?
m = 1
m = -1
m = 3
m = -3
A linear function is represented on the graph shown. What is the behavior of the function?
The function is increasing from left to right.
The function is decreasing from left to right.
A linear function is represented on the graph shown. What is the slope of the function?
m = 1
m = -1
m = 2
none of these
A linear function is represented on the graph shown. What is the behavior of the function?
The function is increasing from left to right.
The function is decreasing from left to right.
A linear function is represented on the graph shown. What is the slope of the function?
(a)
A linear function is represented on the graph shown. What is the behavior of the function?
The function is increasing from left to right.
The function is decreasing from left to right.
A linear function is represented on the graph shown. What is the slope of the function?
(a)
A linear function is represented on the graph shown. What is the behavior of the function?
The function is increasing from left to right.
The function is decreasing from left to right.
A linear function is represented on the graph shown. What is the slope of the function?
(a)
A linear function is represented on the graph shown. What is the behavior of the function?
The function is increasing from left to right.
The function is decreasing from left to right.
A linear function is represented on the graph shown. What is the slope of the function?
(a)
A linear function is represented on the graph shown. What is the slope of the function?
(a)
A linear function is represented on the graph shown. What is the behavior of the function?
The function is increasing from left to right.
The function is decreasing from left to right.
A linear function is represented on the graph shown. What is the slope of the function?
(a)
A linear function is represented on the graph shown. What is the behavior of the function?
The function is increasing from left to right.
The function is decreasing from left to right.
Which graph represents 2x + 4y = 12?
Which equation in standard form represents this graph?
-3x +2y = -6
3x + 2y = 6
-3x - 2y= 12
-3x + 2y = -12
What is the slope?
y−2=4x
(a)
What is the slope?
y+7x=−3
(a)
What is the slope?
2x+y=−17
(a)
What is the slope?
4x−y=13
(a)
What is the y-intercept?
y−7=4x
(a)
What is the y-intercept?
y+2x=−91
(a)
What is the y-intercept?
x+y=−15
(a)
What is the y-intercept?
−y+13=−x
(a)
What is the slope of the following equation?
y= 4x + 5
(a)
What is the slope of the following equation?
y=23x−1
(a)
Change the following equation to slope-intercept form.
y + 7x = 10
y = 7x + 10
y = 7x - 10
y= -7x + 10
y = -7x - 10
What is the slope of the linear function shown?
y + 7x = 10
m = -7
m = 7
m = 10
m = -10
What is the y-intercept of the linear function shown?
y + 7x = 10
b = -7
b = 7
b = 10
b = -10
Change the following equation to slope-intercept form.
y - 5x = 26
y = -5x + 26
y = 5x + 26
y= 5x - 26
y = 21x
What is the slope of the linear function show?
y - 5x = 26
(a)
What is the y-intercept of the linear function show?
y - 5x = 26
(a)
Change the following equation to slope-intercept form.
2y - 4x = 20
y=2x+10
y=−2x+10
y=3x
y= 4x +22
What is the slope of the linear function shown?
2y - 4x = 20
2
-2
4
-4
What is the y-intercept of the linear function shown?
2y - 4x = 20
10
-10
20
-20
Change the following equation to slope-intercept form.
2y + 4x = 8
Answer y= (a) (Do not leave any spaces).
What is the slope of the linear function shown?
2y + 4x = 8
(a)
What is the y-intercept of the linear function shown?
2y + 4x = 8
(a)
Change the following equation to slope-intercept form.
3y - 3x = 9
Answer y= (a) ( Do not leave any spaces)
What is the slope of the linear function shown?
3y - 3x = 9
(a)
What is the y-intercept of the linear function shown?
3y - 3x = 9
(a)
Find the graph of the following -2y + 5x = 7
Step 1 Solve for y
Step 2 Graph it in the calculator.
Find the graph of the following 7y -2x = -28
Step 1 Solve for y
Step 2 Graph it in the calculator.
Find the graph of the following -y + 8x = 16
Step 1 Solve for y
Step 2 Graph it in the calculator.
Find the graph of the following 6y = 6x + 12
Step 1 Solve for y
Step 2 Graph it in the calculator.
Find the graph of the following 3y - 4x = 15
Step 1 Solve for y
Step 2 Graph it in the calculator.
Find the graph of the following 4y - 3x = 12
Step 1 Solve for y
Step 2 Graph it in the calculator.
Change the linear equation shown into slope-intercept form:
2+y=3x
(Write the whole equation. No spaces.)
(a)
What is the slope of the linear function shown:
2+y=3x
(a)
What is the y-intercept of the linear function shown:
2+y=3x
(a)
Change the linear equation shown into slope-intercept form:
2+3y=3x
y=x−32
y=x+32
y=−x−32
y=−x+32
A linear equation is shown below. What is its slope?
2+3y=3x
(a)
A linear equation is shown below. What is its y-intercept?
2+3y=3x
(a)
Change the linear equation shown into slope-intercept form:
−2x−y=14
(Write the whole equation. No spaces.)
(a)
A linear equation is shown below. What is its slope?
−2x−y=14
(a)
A linear equation is shown below. What is its y-intercept?
−2x−y=14
(a)
Change the linear equation shown into slope-intercept form:
6x=3y−9
(Write the whole equation. No spaces.)
(a)
A linear equation is shown below. What is its slope?
6x=3y−9
(a)
A linear equation is shown below. What is its y-intercept?
6x=3y−9
(a)
Change the linear equation shown into slope-intercept form:
7y+42x=49
(Write the whole equation. No spaces.)
(a)
A linear equation is shown below. What is the slope?:
7y+42x=49
(a)
A linear equation is shown below. What is the y-intercept?:
7y+42x=49
(a)
Solve for x
−2x+7=6
(a)
Solve for a
−6a+7=13
(a)
Solve for a
−7a−2=−10
(a)
Solve for b
−3+32b=6
(a)
Solve for b
−1−75b=1
(a)
Solve for b
−1−75b=0
(a)
Solve for c
19=17−53c
(a)
Solve for c
−5=5+21c
(a)
Solve for c
−5=5−21c
(a)
Is the Mapping Diagram
A Function or Not A Function
Function
Not A Function
Does the following mapping represent a function?
The mapping is a function because one output is paired with exactly one input.
The mapping is not a function because one input is paired with two outputs.
The mapping is a function because one input is paired with exactly one output.
The mapping is not a function because one output is paired with exactly one input.
What is the definition of a function?
Has inputs and outputs
Inputs have different outputs every time
x-values and
y-values
Every input has only one output
Which set of ordered pairs is a function?
{(9,5), (10,5), (9,-5), (10,-5)}
{(3,4), (4,-3), (7,4), (3, 8)}
{(6,-5), (7, -3), (8, -1), (9, 1)}
{(2, -2), (5, 9), (5, -7), (1, 4)}
Given f(x)=2x+1 find f(−2)
(a)
Given g(x)=x−1 find g(−5)
(a)
Given p(t)=3(−t+5)−1 find p(1)
(a)
Given g(n)=−(n−5)−8 find g(−7)
(a)
Given w(a)=−3+(4+a) find w(9)
(a)
Given h(x)=−2+(−4x+1) find h(0)
(a)
Given f(x)=x−5 find f(−2)
(a)
Given g(x)=x+19 find g(−9)
(a)
Given p(t)=2(−t+7)−4 find p(4)
(a)
Given g(n)=−(n−7)−9 find g(−2)
(a)
Given w(a)=−2+(7+a) find w(5)
(a)
Given h(x)=−7+(−9x+12) find h(0)
(a)
What is the slope of the line graphed above?
Positive
Negative
Zero
Undefined
What is the slope of the line graphed above?
undefined
negative
positive
zero
What is the equation of the line graphed above?
y=3
x=3
y=3x
x= -3
What is the equation of the line graphed above?
x= -4
y= -4x
y= -4
y=x
y=4
Does the equation represent a horizontal or vertical line?
Horizontal
Vertical
What is the slope of the line y = 4?
4
-4
zero
undefined
x= -9
Does the equation represent a horizontal or vertical line?
Horizontal
Vertical
2=x
Does the equation represent a horizontal or vertical line? What is the slope?
Horizontal; zero
Horizontal; undefined
Vertical; zero
Vertical; undefined
0=y
Vertical or Horizontal? Slope?
Verical; zero
Horizontal; zero
Vertical; undefined
Horizontal; undefined
What is the equation of the line that passes through the point (-2, 7) and has a slope of zero?
y= -2
y=7
x= -2
x=7
What is the slope of the line that has the equation
y=−20
Undefined
-2
1
What is the slope for this graph?
3
Undefined
Zero
What is the slope for this graph?
4
Undefined
Zero
Vertical line, Undefined slope, x=#
Vertical line, zero slope, x = y
Vertical line, undetermined slope, x + 2 = 0
Victory, Undefined slope, x = y
Horizontal line, zero slope, y=#
Horizontal line, original slope, y=#
Horizon, undefined slope, y=#
Horizontal line, zero slope, y=x
Decide if the given function matches HOY or VUX.
HOY
VUX
NEITHER
Decide if the given function matches HOY or VUX.
HOY
VUX
NEITHER
Which graph represents the function
x = -3?
What is the equation of a horizontal line that goes through (4, 0)?
x= 4
x= 0
y= 0
y= 4
What is the equation and slope of the red graph pictured?
y = -3
Slope: Undefined
x = -3
Slope: Undefined
y = -3
Slope: Zero
x = -3
Slope: Zero
What is the equation and slope of the red graph pictured?
y = 2
Slope: Undefined
x = 2
Slope: Undefined
y = 2
Slope: Zero
x = 2
Slope: Zero
What is the equation of the line that is vertical and goes through point (8, -1)?
x= -1
x=8
y=8
y= -1
What is the equation for the x-axis?
y=0
x=0
y=x
none of these
What is the equation for the y-axis?
x=0
y=0
y=x
none of these
horizontal line
y=4
x=-5
vertical line
y=x
A (a) line has (b) slope and its equation follows the form (c) .
A (a) line has an (b) slope and its equation follows the form (c) .
A linear function is shown on the grid.
What is the equation for the linear function shown?
(Do not use spaces in your answer.)
(a)
Linear Parent Function
y=−113
Horizontal Line
x=13
Vertical Line
y=0
x-axis
x=0
y-axis
What is the linear parent function?
(a) (b) (c)
What is the linear parent function?
(a) (b) (c)
y=x
linear parent function
y=mx+b
Slope-Intercept Form
m
slope
b
y-intercept
zero slope
horizontal line
undefined slope
vertical line
m=1
y=x
m=−1
y=-x
b=1
y=2x+1
Which graph best represents the linear parent function?
The linear parent function is (a) .
Slope-Intercept Form is represented by the equation (b) .
What is the slope of the linear parent function?
1
x
y
0
