Algebra 1 Fall Final Review

Transcription

1 1.) (A.5A) Solve: 3(2x 1) + 12 = 4x ) (A.2.) Write the equation of the line below: Y= 2.) (A.5A) Aaron and Kim are bowling. Kim s score Is twice the difference of Aaron s score and 5. The sum of their scores is 320. What is Aaron s bowling score? 3.) (A.2A) Find the Domain and Range of the function. 6.) (A.3A) Determine the slope of the line represented by the table below ) (A.3B) The table represents the height of Lake Ray Roberts over a 6 year period. What is the rate of change of the lake as represented by the table? Domain: Range: ) (A.2C) Laura is going to the fair. It costs $8 to park her car and $3 to ride each ride. Write an equation in y = mx + b form that relates x, the number of rides to y, the total cost. 8.) (A.2C) Which is most likely the equation of the line graphed? Equation: If she has $20 what is the maximum number of rides she can ride? A. y = x B. y = x C. y = x 1 D. y = x + 1

2 9.) (A.3C) Graph the equation: 3x 2y = 6 12.) (A.2C) A bucket holds 64 oz. of water. There is a hole in the bucket that causes it to lose 3 oz. every hour. Which equation fits the situation? A. y = 3x 64 B. y = 3x + 64 C. 3x + y = 64 D. 3x y = ) (A.2C) Which equation represents the relationship between the corresponding values of x and y in the table shown below? 10.) (A.3C) Rangers tickets are $20 for adults and $8 for children under 10. The graph below shows the possible numbers of tickets sold for a particular game A. y = 2x + 5 B. y = 2x + 5 C. y = 1 2 x 5 D. y = 1 2 x + 5 Interpret the meaning of the x-intercept: 14.) (A.2C) Which equation best describes the graph? Interpret the meaning of the y intercept: 11.) (A.2G) A. y = 3x + 4 B. y = 3x + 4 C. y = 4x + 3 D. y = 4x + 3 Graph y = 5 Is the slope zero or undefined? Graph x = -7 Is the slope zero or undefined?

3 15.) (A.2F) Write the equation of a line passing through (-8, 3) and perpendicular to 2x + 5y = ) (A2.I) Edgar has nine coins in his pocket. All of the coins are nickels or dimes and are worth a total of $0.55. Write and solve the system using any method: 16.) (A.2F) Write an equation parallel to x 4y = 8 How do you know these equations are parallel? 20.) (A2.I) Solve the following system using any method if possible: 17.) ( A.2H) At a park, it costs $9.25 an hour to rent a bicycle. It costs $5.75 an hour to rent a scooter. Aaron has a coupon for $7 off the total rental of the bicycle. He wants to know after how many hours it will cost more to rent the bicycle than the scooter. Which inequality represents this situation? 3x y = 5 4x 2y = 4 A. 9.25x 7 < 5.75x B. 5.75x 7 > 9.25x C. 9.25x 7 > 5.75x D. 9.25x 5.75x < 7 21.) (A2.I) Solve the following system using any method if possible: 3x + y = 1 6x +2y = ) (A.2H) Write the inequality that can be represented by the graph below: 22.) (A2.I) Graph the following system of inequalities and name a point than IS and IS NOT in the solution set: Y 3x 5 Y -2x + 4 Y Point that IS: Point that IS NOT:

4 23.) (A.4A) Sketch a scatter plot that resembles a correlation coefficient of ) (A.4C) Perform a linear regression of the following data table: Days Absent (x) Grade (percent) (y) ) (A.4A) The more mozzarella cheese the US consumes, the more engineer degrees are earned in the US. The correlation coefficient for this relationship is.87! Does this mean mozzarella cheese consumption causes more degrees to be earned? Equation: According to regression equation, what might we expect the grade of a student who was absent 10 days to be? 25.) Use the intersection and table function on your graphing calculator to solve the following system: Y = x ) ( A.5C) Gigi has 25 more stickers than Lulu. Together, they have 138 stickers. How many stickers does Gigi have? Y = x 5 What is the solution? 26.) (A.3A) Write the equation in slope intercept form of the line passing through the following points: (4, 3.5) and (1, -2.5) 30.) (A.3E) 27.) (A.3C) What is the zero of the function written above? (x intercept) What transformations could happen to the positive sloped line to be equal to the negative sloped line? Slope: Y-Intercept:

5 quations Algebra 1 Fall Final Review