# Algebra Semester 1 Final Exam Review Name: Hour: Date:

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1 Algebra Semester Final Exam Review Name: Hour: Date: CHAPTER Learning Target: I can appl the order of operations to evaluate expressions. Simplif the following expressions (combine like terms). x + x + 6 8x + 9x + 0x 6x x 6 8x + 9x + 0 6x x Evaluate the expression below. Use the variable value when provided.. + 6/. ( ). ( ) (0 0) ( ) 6. x 7 when x = and = - 7. x + z when x = 0, = and z = [c ( ) ] when c = 9. 0 [( + 6/ ) ] Learning Target: I can translate verbal phrases into expressions AND translate verbal sentences into equations and inequalities. Write an expression, equation, or inequalit for each statement below. 9. The quotient of and a number 0. times the quantit of a number t minus. The difference of and the product of and a number x is less than 0.. The product of and the quantit of times a number plus 7 is no less than. The quotient of the square of a number c and 8 is times the quantit of and a number r is at least.

2 Write an expression or equation for the following situations.. The amount of mone ou earn if ou make 0 dollars per hour and work h number of hours. 6. The number of CD racks ou will need to purchase if each rack holds CDs and ou have c number of cds. 7. The amount ou will spend on t number of movie tickets if there is a \$6 convenience fee and each ticket costs \$8. Learning Target: I can use a problem solving method to solve word problems. You ma use an strateg to solve the following word problems. This about what ou know, what ou want to find out, and make a plan to solve the problem! 8. You are responsible for buing the pies for our famil s winter father. Each pie contains six pieces of pie and costs \$.0 per pie. You need to bu enough pies so that each person would be able to have two pieces of pie (our famil LOVES pie). There will be people at our famil gathering. How man pies will ou need to purchase to feed our entire famil dessert? What is the total cost of the pie? 9. The Mukwonago Football Team has raised \$ to help cover the cost of equipment for the upcoming football season. It will cost each of the plaers \$6 to pla football this ear. How much mone will each plaer need to pa in order to cover the remaining cost? 0. Ms. Wardecke s grandfather recentl decided to replant his rectangular field with oats. His field has a base 900 feet and a height of 70 feet. One bag of oats covers 0ft and costs \$0.0. How man bags of oats will her grandfather need to purchase? What will the cost of the oats be?

3 x - CHAPTER Learning Target: I can add, subtract, multiple, and divide real numbers. I can appl the distributive propert on real numbers. I can evaluate square roots. Find the simplified area and perimeter of the following rectangles... + x 6x Simplif the following expressions. 7 ( ). 8 ( 9) Simplif the following completel. Combine like terms whenever possible (x ) 0. x( x). ( + ) ( ). x 0. ( 6). x + ( x) Evaluate the following given the value for x.. x when x = 8. x when x = 6 and = 9 6. x 6 when x = 6 7. The base of a rectangle is x m and the height of the same rectangle is 8m. The area of the rectangle is m. What is the value for x? What is the base of the rectangle?

4 CHAPTER Learning Target: I can solve multiple step equations and solve equations with variables on both sides. 8. ( x) = ( x + 7) 9. n 0 = 7( n) 0. 8x + (x + ) = (6x + ). 8n + ( + n) = (6n + ). ( 6x + ) = (x ). ( 8x + ) = x 6. You recentl decided to being taking Karate lessons. When ou went to Karate America, ou learned that it would cost \$ per lesson and would require a onetime registration fee of \$8 (to cover our uniform). You recentl received a bill for \$. How man classes ou have taken?. The securit deposit (what ou pa before ou move into an apartment) for an apartment is \$80. After the initial securit deposit, rent is \$00 per month. If ou have lived in this apartment for months, how much have ou spent on housing during this time? 6. Ms. Wardecke s sister recentl adopted an English Bulldog. This pupp has grown at a stead rate and gained about pound a month since it was born. The pupp is currentl 9 months old and weighs pounds. How much did the pupp weight when it was born?

5 Learning Target: I can solve problems involving ratios and percents b using cross product. Solve the following problems involving ratios to find the value of the variable. 7. = x = 0 x 9. 0 x+ = 0. 8 = 6 x+ x+8. a+6 = a 0 0. t 0 = 7 0 Use our knowledge of proportions and percents to set up a ratio and solve the following.. What is 0% of 87?. 8 is what percent of 7?. 60 is what percent of 0? 6. 6 is % of what number? 7. What is % of 80? 8. is 0% of what number? 9. A surve asked 0 students to name their favorite pasta dish (see table below). Answer the following questions. a) What percent of students chose Fettuccine Alfredo? b) What percent of students chose Baked Ziti? Tpe of Pasta Students Spaghetti 8 Lasagna 0 Macaroni and cheese Fettuccine Alfredo Baked Ziti 6 Pasta primavera Other c) What percent of students chose Spaghetti or Lasagna?

6 CHAPTER Learning Target: I can graph linear equations using a table, intercepts, and slope-intercept form. Make a table of values and graph the following equations x = 6. = x x x Find the x-intercept and -intercept for each linear equation below. Then graph the line. 6. x = 6. x + = 0 x x x-intercept: -intercept: x-intercept: -intercept: Graphing the following equations b using slope intercept form. You ma need to rewrite some of the equations before ou begin graphing. 6. = x 6. x = 6 x x

7 66. x = = x x 68. x = 69. x = x x Learning Target: I can identif the domain and range of an function. For the following graphs, identif the domain and range Domain: Domain Domain: Range: Range: Range: Domain: Domain Domain: Range: Range: Range:

8 Domain: Domain Domain: Range: Range: Range: Learning Target: I can identif the domain and range of an function. Rewrite the following linear equations into FUNCTION form. 79. x = 80. x + 8 = 8. x = Learning Target: I can determine the slope of the line. Determine the slope of the line going through the two points. Then classif the slope as positive, negative, zero, or undefined. Reduce our fraction when necessar. 8. (-, ) and (, ) 8. (, 9) and (-, 8) 8. (-6, -0) and (-, -) Classification: Classification: Classification: 8. (, ) and (, 8) 86. (, ) and (6, 6) 87. (-0, -6) and (-, 9) Classification: Classification: Classification:

9 CHAPTER Learning Target: I can write the equation of a line in point-slope, slope-intercept, and standard form. For the following, write the equation of a line in point-slope, slope-intercept, and standard form. 88. The line going through the point (-, -8) with a slope of. 89. The line going through the points (0, -) and (, -6) 90. The line going through the points (, -) and (-, ) Point- Slope Form: Slope- Intercept Form: Standard Form: Point- Slope Form: Slope- Intercept Form: Standard Form: Point- Slope Form: Slope- Intercept Form: Standard Form: 9. The line going through the points (-, 8) and (, -7) Point- Slope Form: Slope- Intercept Form: Standard Form: Learning Target: I can write the equation for a linear equation given a graph. For the following graphs, write the equation of the line in slope intercept form

10 9. A gm charges \$6 per month after an initial membership fee. A member has paid a total of \$0 after 6 months. a) Find the cost of the initial membership fee. b) Find the total cost of a membership after 6 months. 96. Your sports team is having a fundraiser selling t-shirts and sweatshirts. T-shirts sell for \$8 each and sweatshirts sell for \$0 each. You sell a total of \$76 worth of apparel. a) Write an equation in standard form to model this situation. b) If ou sold 9 sweatshirts, how man t-shirts did sell? Learning Target: I can write the equations for parallel and perpendicular lines and can determine when two points are parallel, perpendicular, or have neither relationship. Write the equation for the line in SLOPE INTERCEPT FORM given the description below. 97. Line that goes through the point (-, ) and is parallel to = x. 98. Line that goes through the point (-6, -) and is parallel to x = Line that goes through the point (, -) and is perpendicular to = x Line that goes through the point (6, -) and is perpendicular to x =

11 For the following, determine which lines (if an) are parallel to each other and which lines (if an) are perpendicular to each other. Write our answer on the lines provided below. 0. Line a : x + 6 = Line b: = x 7 Line c:.x +. = 6 0. Line a : x = Line b: 0x + 6 = Line c: x + = 8 Learning Target: I can describe the correlation of a set of data and draw a line of best fit when appropriate. 0. Use the table below to answer the following questions. Pacing a) Make a scatter plot of the data Big cat Lion Jaguar Leopard Tiger 8 Home range size (sq. km) Pacing (% of time) b) Describe the correlation 6 c) If appropriate, draw a line of best fit. d) Write the equation for our line of best fit H. range

12 CHAPTER 6 Learning Target: I can solve and graph the solution to inequalities on a number line. 0. Write the inequalit represented b each graph below. Include the word or when appropriate. a) b) c) d) Solve the following inequalities, if possible, and graph them on the number line provided. 0. 6w < x 07. > n n (8n 6) > (6n ) 0. < 6z 0 0. x 7 > 7 or x + > 8. ( + ) < 6(6 + )

13 . Ms. Wardecke s loves to bu new shoes. She has shoe racks in her closet, and each rack holds 0 pairs of shoes. She alread owns 8 pairs of shoes. a) Write an inequalit that describes the possible numbers of additional shoes Ms. Wardecke can purchase assuming she wants all her shoes to fit on the shoe rack. b) How man possible pairs of shoes can Ms. Wardecke purchase before she will run out of room?. For our birthda ou mother gave ou \$00 to take a group of friends to the movies. You spent \$78 dollars on movie tickets and want to use the remaining mone to purchase large buckets of popcorn for everone to share. A large popcorn at the theater costs \$6 per bucket. a) Write an inequalit that describes the possible numbers of buckets of popcorn ou can purchase? b) How man possible buckets of popcorn can ou purchase? Learning Target: I can solve equations involving absolute values. Solve the following equations, if possible, involving absolute values. Be careful, think about how man solutions ou should have.. x 7 = 6. x 6 = 0 7. x + = x = 6 9. m = 6 0. x =

14 Learning Target: I can solve inequalities involving absolute values. Solve the following inequalities involving absolute values. Be careful, pa close attention to how the inequalit affects our final solution. Then graph our solution on the number line provided.. x 7. x + > 9. m 6. x + + < 6 Learning Target: I can graph linear inequalities. Graph the following linear inequalities. Be sure to use the appropriate line tpe and shading.. < x 6. x 6 x x 7. x > 8. x + x x

15 CHAPTER 7 Learning Target: I can solve sstems of equations using graphing. Solve the following sstems of equations using graphing. 9. = x 0. x = 9 = x + x + = x x Learning Target: I can solve sstems of equations using substitution. Solve the following sstems of equations using substitution.. x + =. x + = x 8 = x + = Learning Target: I can solve sstems of equations using elimination Solve the following sstems of equations using elimination.. x =. x + = x + 8 = x + 6 = 6

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