Worksheets20231024 Mixed Review
Total questions: 194
Worksheet time: 10hrs 42mins
What is the slope of a horizontal line?
infinity
undefined
0
1
What is the slope of a vertical line?
undefined
0
1
infinity
Which of these is the equation of a horizontal line with a slope of 0?
x = 1
y = x
y = -3
y = 2x-7
Which of these is the equation of a vertical line with an undefined slope?
y = 3x + 5
y = x
y = 2
x = -7
Which type of line has a slope of 0?
Negative slope line
Vertical line
Horizontal line
Positive slope line
Which type of line has an undefined slope?
Curved line
Diagonal line
Vertical line
Horizontal line
What is the equation of a horizontal line passing through the point (3, -2)?
y = 3
y = 2
y = -2
y = -3
What is the equation of a vertical line passing through the point (-5, 2)?
y = 2
x = 2
x = -5
y = -5
Graph the equation y = 4.
Graph the equation x = -3.
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 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 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.)
Organize these options into the right categories
0 - slope
y=#
undefined slope
x=#
x=−19
y=−31
t
the x-axis
the y-axis
x=0
Which expression is equivalent to
a5b−5c−5a2b7c−1
a3b12c4
a3c4b12
b12a3c4
b12c4a3
Which expression is equivalent to
(x2y)3⋅xy2
x7y5
x5y7
x3y8
x8y3
Which expression is equivalent to 4m2−3+5m−(2m2−5m−1) ?
2m2−4
2m2+10m−4
2m2+10m−2
2m2−2
Which expression is equivalent to (x7x−4)5 ?
x15
x55
x8
x16
Which expression is equivalent to (mn4)2m3n−5 ?
m5n3
m4n3
m4n13
m5n13
Which expression is equivalent to xy5z−2x4y8z−12 ?
z10x3y3
z14x5y13
z10x5y13
y13x3z14
Which expression is equivalent to 45 ?
53
315
52
35
Given g(x) = 3(1−x)+8
What is g(−2) ?
(a)
Evaluate f(4)
If f(x)=x2−8x ?
-24
16
-16
24
What is the solution to the equation 3x−4=8−2(x+5)
(a)
Which value of x makes the equation true
5x−8=3x−2
x=6
x=12
x=3
x=9
Which expression is equivalent to
5r2−7r+1−(8r2−4r−1)
−3r2−3r
−3r2−11r+2
−3r2−11r
−3r2−3r+2
Which expression i equivalent to
(a8a−10)−2
a−8
a4
a20
a−12
Which expression is equivalent to
(x3y)4⋅x6y8
x13y32
x9y16
x18y12
x4y6
Which expression is equivalent to
(x−4)(x+5)
x2−x−20
x2+x−9
x2−x−9
x2+x−20
Which expression is equivalent to
a6b−8c−3a4b8c−12
a2c9b16
a2c91
a10c15b16
a10c151
Which expression is equivalent to
76
614
126
219
317
Given f(x)=x2−5x+8 what is f(1)
(a)
Evaluate g(−3) if g(x)=4(1−x)2−8
76
56
64
46
What is the solution for the equation 9x−4=2+4(x−1)
(a)
Which value of p makes the equation 4p−5=5−7(p+3) true?
p=1
p=2
p=−1
p=−2
What is the solution 1.25(2x−6)=2.5
2
4
-2
-4
What value of n makes the equation −4(1−n)=2(n+4) true?
-6
6
4
-2
What value of x makes the equation true?
x−10=7
−70
−107
3
17
What value of n makes the equation true?
5n+4=−31
−6
−5
−10
−7
What value of v makes the equation true?
−2v−v=6
−7
−2
All Real Numbers
7
Solve for a.
2a−3=5a+15
−6
−15
15
6
Solve for r.
6(r−5)=−24+3r
−12
12
−7
2
What kind of circle would you use to graph the symbol <
open
closed
What kind of circle would you use to graph the symbol >
open
closed
What kind of circle would you use to graph the symbol ≤
open
closed
What kind of circle would you use to graph the symbol ≥
open
closed
Solve for x:
2x+3=x−1
(a)
Solve for x:
2x+3=x−1
(a)
Solve for b:
3−5b=6b+7
(a)
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: 5x + 15 = 10x - 40
(a)
Solve: -2x + 18 = 2x + 40
(a)
Solve: 4x - 3 = 6x - 19
(a)
Solve: 12x + 1 = 6x - 47
(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)
The set of all y-values for a relation is called the (a) ?
The set of all x-values for a relation is called (a) ?
Find the DOMAIN (a)
What is the DOMAIN? (a)
What is the range? (a)
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range. (a)
What is the domain of this relation? (a)
What is the range of the following relation:(9, -2) (4, 3) ( 8, 10) ( -4, 8) (a)
Which is the best example of a set? (a)
Which word means, "a list or group."
set
coordinate
axis
all of these
In math class the word value means...
number
price
money
sale
A linear function is shown on the grid.
What is the domain of the function?
2≤x<8
8≤x<2
2≥x>8
−2<x<8
The graph of a linear function is shown on the grid.
What is the domain of the function?
2≤x≤3
2≤y≤3
2<x<3
2<y<3
The graph of a linear function is shown on the grid.
What is the range of the function?
−7≤x≤−4
−7≤y≤−4
−7<x<−4
−7<y<−4
The graph of a linear function is shown on the grid.
What is the domain of the function?
−3<x≤6
6≤x<3
−3≤x<6
6<x≤3
The graph of a linear function is shown on the grid.
What is the range of the function?
−8<y≤−5
−5≤y<−8
−8≤y<−5
−5<y≤−8
A quadratic function is plotted on the grid.
What is the domain of the function?
−3≤x<2
−3≤x>2
−3≥x>2
−3≥x<2
A quadratic function is plotted on the grid.
What is the range of the function?
0≤y≤9
0>y>9
0≥y≥9
0<y<9
What is the DOMAIN of this graph?
x < -3
x ≤ -3
x > -3
x ≥ -3
What is the Range?
All real numbers greater than or equal to 6.
All real numbers less than or equal to 6.
All real numbers grater than or equal to -10 and less than or equal to 6.
All real numbers greater than or equal to -10 and less than or equal to 6.
What is the Domain?
y ≥ 6
All real numbers.
-10 ≤ y ≤ 6
-10 ≤ x ≤ 6
What is the RANGE of this graph?
y < -3
y ≤ -3
y > 1
y ≥ 1
The domain for this graph is (a)
The range for this graph is (a)
The domain and range for this graph are both
(a)
The domain and range for this graph are (a)
The domain and range for this graph are both
(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 difference between an expression and an equation?
(Answer with a complete sentence.)
2x+1=−19
equation
2x+1
expression
2x
term
1
constant
y
output
m
slope
x
input
b
y-intercept
What is the slope?
y=−x
(a)
What is the y-intercept?
y=x
(a)
What is the y-intercept?
y=−2
(a)
What is the y-intercept?
y=−25x−31
−31
−25
25
31
What is the y-intercept?
y=53x−1
(a)
What is the y-intercept?
y=x+3
(a)
What is the y-intercept?
y=2x−5
(a)
What is the y-intercept?
y=−x
(a)
What is the slope?
y=x
(a)
What is the slope?
y=−2
(a)
What is the slope?
y=−25x−31
(a)
What is the slope?
y=53x−1
(a)
What is the slope?
y=x+3
(a)
What is the slope?
y=2x−5
(a)
Which letter represents the output?
m
b
y
x
Which letter represents the input?
m
b
y
x
Which letter represents the y-intercept?
m
b
y
x
Which letter represents the slope?
m
b
y
x
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
Which of the following graphs has a negative slope?
Which of the following graphs has a positive slope?
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 type of slope does the function display?
The function has a positive slope.
The function has a negative slope.
A linear function is represented on the graph shown. What type of slope does the function display?
The function has a positive slope.
The function has a negative slope.
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 type of slope does the function display?
The function has a positive slope.
The function has a negative slope.
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 type of slope does the function display?
The function has a positive slope.
The function has a negative slope.
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 type of slope does the function display?
The function has a positive slope.
The function has a negative slope.
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 type of slope does the function display?
The function has a positive slope.
The function has a negative slope.
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 type of slope does the function display?
The function has a positive slope.
The function has a negative slope.
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 type of slope does the function display?
The function has a positive slope.
The function has a negative slope.
Match the type of slope to each graphs.
The slope is undefined.
The slope is zero.
The slope is negative.
The slope is positive.
