Deer Valley Unified School District



Name ________________________________________Period _______Algebra Study Guide for Semester 1Write a function for the following graphs. 366395-26257253905253175Write a function given the following situations:A baker sells cupcakes at a local festival. He pays $50 to rent a booth, and he charges $2.50 for each cupcake.A cookie jar contains two dozen cookies. Every day, Nikki eats 2 cookies.A linear function, f(x), is graphed below. On the same coordinate plane, graph the given function g(x).gx= fx-12540062230gx= fx-3+-57153302004Functions f and g are graphed below. Using function notation, write an equation describing g(x) in terms of f(x).363220-10160For numbers 9 and 10, use the following to complete each comparison below. xg(x)-47-112-55-1153340032385The y – coordinate of the y-intercept f(x) compared to the y – coordinate of the y – intercept of g(x)f(3) compared to g(3)448056074295Based on the graph on the right, which statement is NOT true?Functions f and g have the same x – intercept The ordered pair (2, 14) is a solution for f(x)The ordered pair (2, 7) is a solution for g(x)The value of f(x) begins to exceed g(x) during the interval between x = 1 and x = 2.For numbers 12 and 13, write an equation in function notation to represent each table. 123451009080706012345507090110130sFor numbers 14 – 16, find the slope of each graph and explain its meaning in the given situation.73660327025-45720330835Weight (in ounces)Puppy’s weightTime (in weeks)2514601270For numbers 17 and 18, determine if the following sequences are arithmetic sequences. If they are, write a rule and find the next 2 terms.5, 9, 13, 17, 21, …1, 2, 4, 8, 16, … For 19 and 20, choose the best answer.The formula an=10-4n describes an arithmetic sequence. What are the first 4 terms in the sequence?6, 2, –2, –66, 2, 0, –210, 6, 2, –214, 18, 22, 26 The formula an=3n-2 describes an arithmetic sequence. What are the first 4 terms in the sequence?1, 5, 8, 11–1, 1, 3, 55, 8, 11, 141, 4, 7, 10Solve for the indicated variable.g=df-10, for dt=13hs-8, for sChoose the best answerWhich of the following is equivalent to the equation 4r+7s=q?r=4q-28sr=q-7s4s=7q+28rs=q+4r7Which of the following is NOT equivalent to the equation a-3b=5c+9?a=3b+5c+9b=13(a-5c-9)a-3b-5c=9c=a-3b+95Use the graph below to answer the following questions:85725445135Which point is NOT part of the solution set for this inequality? (0, 3)(3, 3)(4, 0)(-4, 6)Which inequality is represented by the graph?y>-14x+3y<-14x+3y≤-14x+3y≥-14x+3-38100298450Which points are included in the solution set of this system of inequalities?M onlyM and NM, N, and PM and QWhich system of inequalities is represented by this graph?y≥2x+2 and y<-2x+2y≥2x+2 and y>-2x+2 y>2x+2 and y>-2x+2 y≤2x+2 and y<-2x+2 Solve each system of equations and determine the number of solutions.3x-y=-23x-y=02x+4y=69x-3y=-152x-y=34x-2y=64629150314325Renee’s Pet Store never has more than a combined total of 20 cats and dogs and never more than 8 cats. Given the following graph, answer the following questions:What does the coordinate (6, 10) mean in the given situation?Is (1.5, 12) a solution? Explain. If there are 4 cats, how many dogs are allowed? How do you know?2381251864360A company is manufacturing an action figure that must be at least 11.2 centimeters and at most 11.4 centimeters tall. Write and graph a compound inequality that describes how tall the action figure can be. Atlantic sea turtle eggs that incubate below 23°C or above 33°C rarely hatch. Write an inequality for the temperatures at which the eggs should be incubated.31242052705Solve each compound inequality22≥4m-2 or 5-3m≤-13 -5≤3p-7≤22234951174115The scatter plot below shows data for the number of ice cream cones sold and the number of bee stings treated at a lake resort. Based on the data, is there causation (can you conclude that eating ice cream causes bee stings)? If not, what can you conclude? The scatter plot compares the number of bags of popcorn sold and the number of beverages sold at a movie theater each day over 2 weeks. Which conclusions cannot be drawn from the scatter plot? 45529591440There is a negative correlation between popcorn sales and beverage sales.There is a positive correlation between popcorn sales and beverage sales.There is no correlation between popcorn sales and beverage sales.Buying popcorn causes people to buy beverages. Music festival A and music festival B each had 100 volunteers. The box plots show the ages of the volunteers at each festival.4053205155575Compare the median ages of volunteers at each festival.Which festival has more variability in the ages of its volunteers? Explain your answer.Fill in the following table and find the joint relative frequencies.Smart PhoneNo smart phoneTotalSmart PhoneNo smart phoneTotalBoys151025BoysGirls19625GirlsTotal341650Total ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download