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Worksheets12/11/23 Final Exam Review #3 ANW
Total questions: 76
Worksheet time: 3hrs 57mins
Given y = 2x + 1, find the value of y when x = 5
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Given f(x) = x2 + 3x + 1, find f(-4).
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f(x) is the same thing as ______.
y
x
input
an equation
f(2)=?
-2
-6
-38
58
f(x)=−6
-2
-6
2
4
f(1.5)=?
0
2
6
-1
What is the domain?
the set of all x-values
the set of all y-values
a special type of function
a function with more than 1 output for every input
Same as an output
7x+8=29
The first step to solve this equation is to (a) . The next step is to (b) . The answer is (c) .
subtract 8
divide 7
x=3
add 8
multiply 7
subtract 7
x=2
x=5.2
x=7
divide 8
y=2x−10
Identify the following about the equation above.
slope (m): (a)
y-intercept: (b)
2
-10
10
2x
y
y=32x−3
Identify the following about the equation above.
slope (m): (a)
y-intercept: (b)
2/3
-3
2x
2/3x
y
3
What is the x-intercept of the line graphed below?
(-3, 0)
(0, 4)
(0, -3)
(4, 0)
Find the y-intercept (b) of the line.
(a)
What is the domain of the graph?
numbers between and including 1 and 4
numbers between and including 1 and 5
All positive numbers
All positive numbers greater than 1
What is the range of the graph?
numbers between and including 1 and 4
numbers between and including 1 and 5
All positive numbers
All positive numbers greater than 1
Which mapping diagram is not a function?
Is this graph a function or not a function?
Function
Not a Function
HINT: for a graph to be a function, coordinates can not share x values meaning you can not have 2 points on top of each other. use the vertical line test.
Domain represents the X-VALUES of the graph.
OPEN DOT means it DOES NOT have an equal sign under the inequality.
CLOSED DOT means it DOES have an equal sign under the inequality.
A
B
C
D
What value of n makes the equation 4(0.5n - 3) = n - 0.25(12 - 8n) true?
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The graph models a linear function. The rate of change of the graph is (a) dollars per hour.
50
100
0
1/50
What is the solution to 15x+8=3(5x−4)−10x ?
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Which value of b makes the equation 3−2(b−1)=4b−25 true ?
5
8
−3
−6
The table shows a linear relationship between x and y. What is the rate of change of y with respect to x?
rate of change = slope = m
Choose two points, then use formula to find "rate of change" or slope.
43
−6
8
−34
What is the rate of change?
$39 per game
$78 per game
$41 per game
$124 per game
Given:
y=mx+b
Match the variable in the linear equation with the correct meaning:
y
y-coordinate
m
slope
x
x-coordinate
b
y-intercept
y=-3x-2
slope -3 y int -2
y=-1/3x+2
slope -1/3 y int 2
y=-2x-3
slope -2 y int -3
y=2x+3
slope -2 y int +3
-3 − 6(4x + 6) > -111
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What is the correct first step?
divide by 10
multiply by 10
make it two inequalities with an "or"
make it two inequalities with and "and
Which graph is linear?
Graph A
Graph B
Graph C
Graph D
Identify the INDEPENDENT VARIABLE
Years of Education
Average Salary
Identify the DEPENDENT VARIABLE
Yards of Fabric
Shirts Made
My first step is to use the slope formula m= x2−x1y2 −y1 to find the rate of cost per policy
How would I set that up?
920−7605−3 dollarpolicy
760−3920−5 dollarpolicy
5−3920−760 policydollar
None of these
Solve the equation
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Solve the equation
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Look at the expression: 2x + 1.
What operation is being done to x FIRST?
(Follow GEMDAS-read from left to right)
Times 2
Add 1
Look at the expression:
-5 + x/2 - 1.
What operation is being done to x FIRST?
(Follow PEMDAS)
-5
-1
/2
+5
2x + 1 = 6
When solving, first UNDO add/sub. What would the first step be in solving this equation?
Divide by 2
Subtract 1
Subtract 6
Times 2
Look at the work. What was done incorrectly?
Don't divide by 2 first
Don't add 7 to both sides
It's correct!
They should have subtracted 7
-5h + 2 ≥ -8
h≤2
h>4
h≤3
h≥2
Solve the following inequality:
n≥−2
n≤−2
n≥−7
n≥8
Do I need to flip my sign?
2x -3y ≥ 12
Yes
No
How can I tell if the graph of an inequality will have a solid line?
It has just an equal sign.
The symbol is greater than.
The symbol has "or equal to."
You just guess.
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
Which of the following are basic rules used for solving algebraic equations? (SELECT ALL THAT APPLY)
Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign
Negative signs can be ignored
Always start on the left side, regardless of where the variable is
Always do the opposite operation
Which of the following equations require you to use the Distributive Property first? Select all that apply.
6x - 8 = 7(x + 2)
7n - 5 = 3
2(a - 9) = 9a + 1
4 - 9y+ 8 +2y
What is the first step to solving this equation?
20 − 3(y − 6) +10 = 54
Subtract 3 from 20.
Subtract 10 from 20.
Add 10 to both sides of the equation.
Multiply -3 by y and then by -6.
What is the first step to solving this equation?
43(2x −8) = 9
Multiply both sides by 34
Subtract 43 from both sides of the equation.
Multiply 2x and 8 by 34
Multiply both sides by 43
Solve the following inequality:
−8(−4n−3)≥280
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Solve
11−95 + 1 + 3
3
6
7
8
Match the following
product
multiplication
sum
addition
difference
subtraction
quotient
division
(10, 1) and (5, 2)
Match the slope and y-intercept to the linear function.
y=8x+7
m=8
b=7
x=-5
m=undefined
b=not available
y=32x
m=2/3
b=0
y=−32
m=0
b=-2/3
Which graph shows a line with a negative slope ?
Graph A
Graph B
Graph C
Graph D
What is the y-intercept of the linear graph shown below?
-3
-6
-1/2
-2
Which graph has a line with an x-intercept of -4 and a y-intercept of 2?
Graph D
Graph C
Graph B
Graph A
A line is graphed on a coordinate grid.
Which statement about the line is true?
The slope is undefined.
The slope is 0.
The slope is -4.
The slope is 6.
The slope of the line is _____.
Undefined
0
-6
9
What is the equation of a line that passes through the point (-2,7) and has a slope of zero?
x = 7
y = -2
y = 7
x = -2
Another name for a positive slope is which term?
Vertical
Horizontal
Downhill
Uphill
What type of slope is Mario running in the picture?
Positive
Negative
Undefined
Zero
What is the slope of the Jeep in the picture?
Positive
Negative
Zero
Undefined
Given: y=53x , find the slope and y-intercept.
Slope: 53
y-intercept: 0
Slope: 1
y-intercept: 1
y-intercept: 53
Given: y=−5x+3 , find the slope and y-intercept.
Slope: −5
y-intercept: 3
Slope: 5
y-intercept: −3
Slope: −51
Match the following slopes to the graphs:
Positive
Negative
Zero
Undefined
Match the Graph with its slope.
Negative
Positive
Zero
Undefined
