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Mid Term Game This is what is homework There are 5 categories and 5 questions per category for a total of 25 questions Category 1 WRITING EQUATIONS AND EXPRESSIONS 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.) 2 0 1 2 3 4 No. of puppi 3 es 6 12 24 48 𝑥 Given the equation f(x) = 2 . 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 Category 2 SOLVING LINEAR AND EXPONENTIAL EQUATIONS 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 Category 3 SYSTEMS OF EQUATIONS AND INEQUALITIES Determine if (-3, 2) is a solution to the following system: x + y = -1 x - 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 - 4 b. y < x + 2 and y < - x + 4 c. y > - x - 2 and y < x + 4 d. 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 Category 4 FUNCTIONS AND RATE OF CHANGE 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 Category 5 TRANSFORMATIONS AND MORE 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 - 10 2. 3. The range of g(x) is less than the range of f(x) 4. x - miles traveled 5. Category 2 1. 2. x = 1 3. 205 people 4. x = 47 47, 49, 51, 53 5. 20,001 Answers Category 3 1. No 2. ( -5, -6) 3. d 4. 4 5. A Category 4 1. {-2, 1, 4} 2. Steepest Slope 3. Zero 4. 1. Vertical Line Test 2. Each x value has a unique y value. 5. (-4,-1) Answers Category 5 1. Vertical Stretch by a factor of 3 Vertical Translation or Shift Down 5 2. 3. 4 4. 5. Multiply the y values by 2