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WorksheetsSemester Review
Total questions: 168
Worksheet time: 28hrs 0mins
two added to three times a number m is the same as 18
2+3m=18
2m+8=3
3m+8=2
2+3-m=8
a number decreased by 5
5+m
m÷5
5×m
m-5
Identify the form of this linear equation
y−y1=m(x−x1)point-slope
slope-intercept
standard
Identify the form of this linear equation
y=mx+bpoint-slope
slope-intercept
standard
Write a linear equation using the points (3, -5) and (6, -6). (type without any spaces)
(a)
Find the slope in simplest form
I have no clue how to do this
1/3
3
Find the slope from the following equation.
4
3/4
I have no clue because I don't pay attention to Ms. Staggs
What is slope?
Find the slope of a line that passes through the points (3, -5) and (6, -6)
-1/3
-3
1/3
3
Using the following graphing, write a linear equation. (Type without spaces)
(a)
Match the following graphs to the description.
Positive Linear Association
Negative Linear Association
No Association
Nonlinear Association
Which of the following could be the equation of the good line of fit through the data?
y=−87x+177
y=87x+177
y=−78x+177
y=78x+177
What is the slope of the line that passes through the points:
(100, 50) and (200, 70)
Write as an equation: a number b increased by 3 is 7
b - 3 = 7
b + 3 = 7
7b = 3
3b = 7
Write as an equation: 9 less than a number r is 15
9 + r = 15
9 - r = 15
15/9 = r
r - 9 = 15
Difference means...
addition
subtraction
multiplication
division
Increased means...
addition
subtraction
multiplication
division
Sum means...
addition
subtraction
multiplication
division
Product means...
addition
subtraction
multiplication
division
Quotient means...
addition
subtraction
multiplication
division
Is means...
addition
less than
at least
equals
Which of these is an equation?
4x - 7
5 - 6t
7x = 49
43b - 9
When solving an equation, the goal is to
get the variable by itself
add all the numbers together
multiply
make a graph
five added to three times a number e is the same as 20
5-3e=20
5+3x=20
5+3e=20
5+3÷e=20
The quotient of 25 and L equals 15 minus 3 times x?
25÷L=15-3d
25÷L=15-3x
25L=15-3x
25÷L=15+3x
5(a + 6)
5a + 6
a + 30
5a + 30
5a - 30
When an equation has parentheses, which operation should we use to simplify and get rid of the parentheses?
Add
Subtract
Multiply
Divide
3x + 8x - 8 = 3
4
3
2
1
Translate the following phrase...
7 more than 5 times a number
(a)
Translate the following phrase...
3 less than 4 times a number
(a)
In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points. What expression represent the points for Team A?
b
b + 80
2(b - 5)
2b - 5
In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points. What expression represent the points for Team C?
b
b + 80
2(b - 5)
2b - 5
In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points. Which equation represents this situation?
2(b - 5) + b + (b + 80) = 983
(2b - 5) + (b + 80) + 983 = b
(2b - 5) = (b + 80) + b
(2b - 5) + b + (b + 80) = 983
In a basketball tournament, Team A scored 5 less than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Let the variable b represent Team B’s total points. The equation representing this scenario is (2b – 5) + b + (b + 80) = 983. Team B scored 227 total points. How many points did Team C score?
(a)
Two companies rent moving trucks. Pack and Go charges a $39.95 flat fee, and $0.45 for every mile driven. U-Drive charges a $59.95 flat fee, and $0.35 for every mile driven. At how many miles is the cost of the truck rentals the same? 39.95 + 0.45x = 59.95 + 0.35x
At how many miles is the cost of the truck rentals the same?
100
150
200
450
What does absolute value mean?
Everything is positive
Everything is negative
Distance away from zero
Solve
∣x+5∣=8x=6
x=3
x=6 or x=2
x=3 or x=-13
Solve
∣x+7∣=9x=2 or x= -16
x=-16
x=16
x=2
Solve
∣x−4∣=5x= -4 or x=4
x=-1 or x = 9
x= 6 or x= -6
x=-4 or x=5
Solve
10x=2x= 12
x=0 or x=12
x= -20 or x=20
x= -8
Solve
∣2x+4∣=8x= 10 or x=-9
x=2 or x= -6
x= -4 or x=6
x= -2
x = 8
x = 10
x = 4
x = 5
5x=108
x=7
x=4
x=2
x=3
Solve for c
-7/2
-2
-1
-13/2
g=ca−b
Solve for a.
a= (a)
P=AF
Solve for F, force.
F= (a)
v=u+10t Make u the subject of the formula
u=v−10t
u=v+10t
u=10tv
u=−10tv
Make w the subject of the formula
s=aw
w=as
w=sa
w=sa
w=s+a
What is the domain of the table?
{-1, 0, 1, 2, 3}
{3, 6, 9, 12, 15}
What is the range of the function?
{-2, -1, 0}
{-5, -3, -1, 3, 5}
What is the range of the function?
{2,3,4,5}
{8,9,10,11}
Find the range for the given domain {-1, 3, 7}
f(x) = 4x-9
{-5, 3, 19}
{2, 3, 4}
{-13, 3, 19}
{-4, 12, 28}
Which input (x) makes this relation NOT a function?
3
4
5
10
Which x-value makes the relation below NOT a function?
3
-2
0
Is the relation below a function?
Not a function
Function
Is the relation below a function?
Not a function
Function
Is the relation below a function?
Function
Not a function
Which input makes this relation NOT a function?
-5
1
0
6
Which input makes this relation NOT a function?
a. -1
b. 1
c. 2
d. 3
Discrete or continuous data?
Discrete
Continuous
Discrete or continuous data?
Discrete
Continuous
Discrete or continuous data?
Discrete
Continuous
what type of graph is this?
Large graph
Happy graph
Continuous graph
Discrete graph
Is the following graph continuous or discrete?
Discrete Graph
Continuous Graph
Is the following graph continuous or discrete?
Discrete Graph
Continuous Graph
Is the following graph continuous or discrete?
Discrete Graph
Continuous Graph
Linear or Nonlinear?
Linear
Non-Linear
Linear or Nonlinear?
Linear
Non-Linear
Does the first table represent a linear or nonlinearn function?
linear
nonlinear
Linear or Nonlinear?
Linear
Nonlinear
5x −65 =y
Linear
Nonlinear
Linear or Nonlinear?
Linear
Non-Linear
y = 6x + 5
Linear
Nonlinear
y=x26
Linear
Nonlinear
What are the coordinates of Point P?
(-3,2)
(2,-3)
What is the y-intercept of the line shown?
(0,-4)
(-4,0)
(0,1)
(1,0)
What is the x-intercept of the line shown?
(0,-4)
(-4,0)
(0,1)
(1,0)
Which graph(s) have a POSITIVE slope?
Which graph(s) have a NEGATIVE slope?
Which graph(s) have an UNDEFINED slope?
Which graph(s) have a slope of ZERO?
Given the table, what are the x and y intercepts?
x-intercept
(0,-12)
y-intercept
(0,-12)
x-intercept
(3,0)
y-intercept
(3,0)
Which is the proper way to set up finding the slope of a line that passes through (1,-6) and (9,-8)?
1−9−6−(−8)
−6−(−8)1−9
9−(−8)1−(−6)
−6−1−8−9
Finish the sentence:
Parallel lines have the same ________________.
What is the slope of a line perpendicular to -10/3
-10/3
10/3
3/10
-3/10
m = 3/4
What is the slope of a line perpendicular to 5?
5
1/5
-1/5
-5
What is the slope of a line perpendicular to a line with slope -6/5 ?
-6/5
-5/6
5/6
-4/3
Line 1: (−1, 2), (2, 3)
Line 2: (0, 0), (3, 1)
These two lines are ______________________
Parallel
Perendicular
Neither
Find the x- and y-intercept, then select the graph for the equation
4x−y=8Find the x- and y-intercept, then select the graph for the equation
2x+3y=18Determine the slope of the line
m=32
m=23
m=−32
Determine the slope of the line that goes through the point: (1,2) and (−1,0)
m=21
m=1
m=−1
m=−21
Use the information from the table to determine the slope
m=−3
m=−93
m=−31
Select the graph for y=2x+3
Graph:
y+1=3(x+1)
Describe how you would translate the ordered pair according to this rule: (x, y)→ (x −7 , y+3)
translates right 3
and down 7
translates right 7 and up 3
translates left 7 and up 3
translates up 3 and down 7
The y-intercept is (a) and the slope is (b)
43
34
−43
−34
Given: y=−31x+5 , the slope is (a) and the y-intercept is (b)
−31
31
13
−13
Given: y=53x , the slope is (a) and the y-intercept is (b)
53
35
−53
−35
Which graph represents the function: y=−21x−2
Which graph represents the function: y=23x+3
Which letter represents the y-intercept in y=mx+b?
y
m
x
b
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3
y + 1 = -3(x - 2)
y + 1 = -3(x + 2)
y - 1 = 3(x - 1)
y + 2 = -3(x + 1)
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
y + 7 = -1/4(x - 4)
y - 4 = -1/4(x + 7)
y + 7 = 4(x - 4)
y - 7 = -1/4(x - 4)
What is the equation in point-slope form of the line that has a slope of -2 and passes through the point (3, 9)?
y - 9 = -2( x - 3)
y + 9 = -2( x - 3)
y + 9 = -2( x + 3)
y - 9 = -2( x + 3)
Gina will spend $250 on music festival tickets. Reserved seat tickets cost $15 and general admission tickets cost $8. How can you represent the situation with a linear equation?
(a)
What is standard form of a line?
y = mx + b
Ax + By = C
y - y1 = m(x - x1)
y = Ax + By
Decide if the inequality will need to be flipped:
−6x+5≥35
Flip!
Do not flip!
Decide if the following inequality will need to be flipped:
x−3<−16
Flip!
Do not flip!
Open dot or closed dot?
g<−14
Open dot
Closed dot
Which way will the arrow on the number line point?
h≥8
Left
Right
Which way will the arrow on the number line point?
−3<f
Left
Right
6t + 4 ≤ -2
Question #1:
You only flip the inequality symbol when...
you feel like it.
you divide or multiply by a negative.
you divide or multiply by a positive.
Question #2
The best first step to solve 2b−5≥17 is...
Subtract 17 from both sides.
Subtract 2b from both sides.
Add 5 to both sides.
Question #4
The final solution to 2b−5≥17 is...
b≥11
b≤11
b≥6
Question #8
Which graph shows the solution set to
−6x≤18 ?
Solve the following Compound Inequality 3x≥9 or 5+x<6
x<1 or x≤3
x<1 or x≥3x<1 or x≥−3
x<1 or x≤−3
Does the following graph match the compound inequality
x<1 or x≥3
True
False
Solve the following Compound Inequality 2x+9>17 or 5x+10<10
x<0 or x<4
x>0 or x>4
x<0 or x>4
x>0 or x<4
Solve the following Compound Inequality −3(2x+1)<−15 or 1−x≥5
x≥2 or x≤−4
x≤−4 or x>2
x≥−4 or x<2
x<−4 or x>2
Solve the following "and" Compound Inequality
−27<7x−13<8
x>−2 and x<3
x<−2 and x<3
x>−2 and x>3
x>2 and x<3
Which compound inequality matches the following "And" Compound Inequality
x>−2 and x<3
−2<x<3
−2>x<3
Solve the following the Compound Inequality −2<2(x−6)≤4
5<x≤8
5>x≥8
x<5 and x≥8
x>5 and x≤8
What type of correlation does this graph have?
positive
negative
none
all of the above
What is the correlation?
Negative correlation
No correlation
Positive correlation
Non-linear Correlation
No Correlation
Positive, Linear Correlation
Negative, Linear Correlation
Graph A
Graph B
Graph C
Graph D
This implies that one variable has a direct affect on the other variable.
Correlation
Causation
Correlation or Causation?
The number of times you come to tutoring and your test scores improving
Correlation
Causation
Correlation or Causation?
The inches of snowfall and the number of heart attacks
Correlation
Causation
What are the coordinates of the outlier?
(1,9)
(9,1)
(2,2)
y=x
A
B
C
D
Average time spent listening to music per day and average time spent watching TV per day. r=−.17
strong positive
strong negative
weak positive
weak negative
Score on science exam and number of words written on the essay question. r=.28
strong positive
strong negative
weak positive
weak negative
Number of steps taken per day and number of kilometers walked per day. r=.92
strong positive
strong negative
weak positive
weak negative
Solve: ∣9+x∣<4
−5>x>−13
−13<x<−5
−13>x>−5
No solution
Solve the Bell-ringer problem: ∣x+8∣−5=2
x=-1
x=-15
x=-1 or x=-15
There is no solution
If you see this symbol, ≥, we will (a) the circle on the graph.
Solve the absolute value inequality.
x≤−4 or x≥−2
−4<x<−2
−2<x<4
x≤−4 or x≥2
Identify the type of function represented by the graph.
piecewise-defined
absolute value
quadratic
linear
Which graph is the graph of 2x + 5y > 10?
Let's think back to Unit 1 and Identifying Parent Functions.
What shape does the Absolute Value graph have?
V shape
U shape
Squiggle (like a chromosome)
eyebrow shape
Which of the following is the parent function for Absolute Value?
y=∣x∣
y=log x
y=x2
y=x
y=a∣x−h∣+k
Remember transformations?
Given y=∣x+7∣−4 , describe the transformation.
Moves right 7 and down 4
Moves right 7 and up 4
Moves left 7 and down 4
Moves left 7 and up 4
y=a∣x−h∣+k
Remember transformations?
Given y=−∣x−7∣+2 , describe the transformation.
Check all that apply.
Flips down
Moves right 7
Moves left 7
Moves up 2
Moves down 2
