mid term game this is what is homework there are 5 categories and 5 questions per category for a...
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Mid Term Game
This is what is homeworkThere are 5 categories and 5 questions per category for a total of 25 questions
WRITING EQUATIONS AND EXPRESSIONS
Category 1
Write and expression that represents " 10 less than
3 times a number"
1
Write an equation that represents the data in the table below.
time (yrs.) 0 1 2 3 4
No. of puppies
3 6 12 24 48
2
Given the equation f(x) = . What can we say about the range of
g(x) = f(x) +5?
3
You decide to take the train to a concert out of town. You find out that it costs $10 for a ticket and
$0.50 a mile. You write the equation y = .50x + 10. What is the
independent variable?
4
• Write an equation of the line shown in the graph.
5
SOLVING LINEAR AND EXPONENTIAL EQUATIONS
Category 2
Solve the formula for C.
1
Solve 8( x + 4) - 10 = 30
2
The formula for the growth rate of the human population is
If you begin with 100 people, approximately how many people will you expect to have after 24 hours?
3
Find four consecutive odd integers whose sum is 200.
4
Your grandparents invest $14,000 in equipment to produce a new
app. Each app. costs $0.30 to produce and is sold for $1.00.
What is the minimum amount of apps must they sell for your
grandparents to make a profit?
5
SYSTEMS OF EQUATIONS AND INEQUALITIES
Category 3
Determine if (-3, 2) is a solution to the following
system:x + y = -1x - y = -7
1
solve the following system by substitution, elimination or graphing
2
Which pair of inequalities is shown in the graph?
a. y > - x + 2 and y > x - 4b. y < x + 2 and y < - x + 4c. y > - x - 2 and y < x + 4d. y < x - 2 and y < - x - 4
3
You go to the fair and buy a one pound bag cotton candy for $3 and a four
pound bag of cotton candy for $6. If 6 bags are purchased for a total cost of $30, how many four pound bags were
purchased?
4
Which region would be shaded to show the solution of the following linear system?
5
FUNCTIONS AND RATE OF CHANGE Category 4
Find the range of f(x) = 3x + 4 when the domain is {-2, -1, 0 }
1
When looking at a graph, how is the greatest rate of change
represented?
2
Find the slope of the line that passes through the points (2, 7) and (4, 7)
3
How do we determine if a graph is a function?1.2.
4
On which interval is the graphed portion of the function decreasing?
5
TRANSFORMATIONS AND MORE Category 5
Identify the transformations that are applied to the parent function
1
What is the recursive rule for the following sequence 2, -4, -10, -16, . . .
2
What is the value of h given :
3
Find the 60th term of the sequence 3, 11, 19, 27, . . .
4
Given g(x) = 2 ( x -1 ) - 6 is a transformation of the parent function f(x), explain how the "a" value affects the table/graph
5
Answers
Category 1 1. 3x - 102.3. The range of g(x) is less than the range of f(x)4. x - miles traveled 5.
Category 2 1. 2. x = 13. 205 people4. x = 47
47, 49, 51, 535. 20,001
Answers
Category 4 1. {-2, 1, 4}2. Steepest Slope 3. Zero4. 1. Vertical Line Test
2. Each x value has a unique y value. 5. (-4,-1)
Category 3 1. No2. ( -5, -6)3. d4. 45. A
Answers
Category 5 1. Vertical Stretch by a factor of 3Vertical Translation or Shift Down 5
2.3. 44. 5. Multiply the y values by 2