Algebra 1, Semester 1 Exam Review

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1 Algebra, Semester Exam Review What is an algebraic expression for the word phrase?. the sum of n and 9 A. n 9 n + 9 D. 9n. the difference of r and A. r + r D. r. the quotient of j and 8 A. 8j j 8 D. j + 8. times the sum of b and f A. + b + f bf (b + f) D. b + f What is the simplified form of each expression?. A D A D Evaluate, for u = 0, x =, = 7, and z = 0. A D To which subsets of the real numbers does the number.68 belong? A. rational numbers natural numbers, whole numbers, integers, rational numbers rational numbers, irrational numbers D. none of the above 9. To which subsets of the real numbers does the number belong?

2 A. whole numbers, natural numbers, and integers onl rational numbers onl whole numbers, integers, and rational numbers onl D. integers, rational numbers, natural numbers, and whole numbers 0. To which subsets of the real numbers does the number A. whole numbers, natural numbers, integers irrational numbers rational numbers D. whole numbers, integers, rational numbers belong? What is the solution of the equation?. ( ) + = A. 7 D = 7( z) A. D x. = 6 A... D. What is the solution of the equation?. A. 0 9 D. 0. A. p = 6 p = p = 7 D. p = What is the solution of each equation? 6. A. 8 infinitel man solutions 8 D. no solution 7. What equation do ou get when ou solve for x?

3 A. D. 8. Lenn runs a 00-meter course in seconds. Gar runs a 0-meter course in. seconds. Bruford runs a 90-meter course in 7. seconds. Which athlete is the fastest? Round each speed to one decimal place. A. Lenn is the fastest. Gar is the fastest. Bruford is the fastest. D. The each travel at the same average speed. 9. A car is driving at a speed of mi/h. What is the speed of the car in feet per minute? A.,960 ft/min 7,600 ft/min,9 ft/min D.,700 ft/min What is the solution of the proportion? 0. A. 9 D. 8. A. D. What inequalit describes the situation?. Let t = the amount Thomas earned. Thomas earned $9 or more. A. t > 9 D. t < 9 What are the solutions of the inequalit? Check the solutions.. x + 6 < A. x < x > x > D. x < + 6 What are the solutions of the inequalit?

4 . (b 8) > A. b > 0 b > 6 b > D. b < 0 What are the solutions of the inequalit?. A. D. 6. A. n 0 n n D. n 8 What are the solutions of the equation? Graph and check the solutions. 7. A. n = n = or n = n = 6 or n = D. no solution What are the solutions of the inequalit? Graph the solution. 8. A. and D. or

5 height A. or D. or What are the variables in each graph? Describe how the variables are related at various points on the graph. 0. The graph shows the height of a hiker above sea level. The hiker walks at a constant speed for the entire trip. What are the variables? Describe how the variables are related at various points on the graph. Elevation of Hiker time A. The variables are height and time. For the first part of the graph, the height is increasing slowl, which means the hiker is climbing a steep incline. Flat parts of the graph show where the elevation does not change, which means the hiker stopped to rest. The steep part at the end of the graph shows that the hiker is descending a gentle slope. The variables are height and time. For the first part of the graph, the height is increasing slowl, which means the hiker is walking up a gentle slope. Flat parts of the graph show where the elevation does not change, which means the trail is flat here. The steep part at the end of the graph shows that the hiker is descending a steep incline.

6 elevation elevation distance The variables are height and time. For the first part of the graph, the height is increasing slowl, which means the hiker is climbing a steep incline. Flat parts of the graph show where the elevation does not change, which means the trail is flat here. The steep part at the end of the graph shows that the hiker is descending a steep incline. D. All of the above.. Lena makes home deliveries of groceries for a supermarket. Her onl stops after she leaves the supermarket are at traffic lights and the homes where she makes the deliveries. The graph shows her distance from the store on her first trip for the da. What are the variables? Describe how the variables are related at various points on the graph. Lena's Deliveries time. A hiker climbs up a steep bank and then rests for a minute. He then walks up a small hill and finall across a flat plateau. What sketch of a graph could represent the elevation of the hiker? A. time x time x

7 elevation D. An of the graphs could represent the situation, depending on the hiker s speed. time x. The ordered pairs (, ), (, ), (, 9), (, 6), and (, ) represent a function. What is a rule that represents this function? A. D. Write a function for the situation. Is the graph continuous or discrete?. A produce stand sells roasted peanuts for $.90 per pound. What is the cost, C, of p pounds of peanuts? A. C =.90p; continuous C =.90 + p; continuous C =.90p; discrete D. C =.90 + p; discrete What is the graph of each function rule?. A. x x

8 D. x x 6. Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $.9. A. D. 7. A snail travels at a rate of. feet per minute. Write a rule to describe the function. How far will the snail travel in minutes? A. ;.7 ft ;. ft ; 7. ft D. ;.7 ft 8. Identif the mapping diagram that represents the relation and determine whether the relation is a function. A. The relation is not a function. The relation is a function.

9 D. The relation is a function. The relation is not a function. 9. Identif the mapping diagram that represents the relation and determine whether the relation is a function. A. The relation is a function. D. The relation is not a function The relation is a function. The relation is not a function. 0. The function represents the number of jumping jacks j(x) ou can do in x minutes. How man jumping jacks can ou do in minutes? A. 9 jumping jacks jumping jacks 7 jumping jacks D. jumping jacks. The function represents the number of light bulbs b(n) that are needed for n chandeliers. How man light bulbs are needed for chandeliers? A. 90 light bulbs 96 light bulbs light bulbs D. 80 light bulbs

10 . You have 8 cups of flour. It takes cup of flour to make cookies. The function c(f) = f represents the number of cookies, c, that can be made with f cups of flour. What domain and range are reasonable for the function? What is the graph of the function? A. The domain is. The range is. c(f) The domain is. The range is. c(f) f The domain is. The range is. c(f) f D. The domain is. The range is. c(f) f f The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.. The table shows the number of miles driven over time. Time (hours) Distance (miles)

11 A ; Your car travels miles ever hour. 0; Your car travels 0 miles. ; Your car travels miles ever hour. D. 0; Your car travels for 0 hours. Find the slope of the line.. x A. D. What is the slope of the line that passes through the pair of points?. (, 7), (0, ) A. D. 6. (., 6.), (.,.) A. D. What is the slope of the line?

12 7. x A. undefined 0 8. x A. 0 undefined What are the slope and -intercept of the graph of the given equation? 9. = x + A. The slope is and the -intercept is. The slope is and the -intercept is. The slope is and the -intercept is. D. The slope is and the -intercept is. 0. =.9x +. A. The slope is.9 and the -intercept is.. The slope is. and the -intercept is.9. The slope is.9 and the -intercept is.. D. The slope is. and the -intercept is.9.

13 Write an equation of a line with the given slope and -intercept.. m =, b = A. = x + = x = x + D. = x +. m =., b = 6.8 A. =.x 6.8 = 6.8x. =.x D. =.x Write the slope-intercept form of the equation for the line.. x A. = 8 x 8 = x = 8 x D. 8 = x What equation in slope intercept form represents the line that passes through the two points?. (, ), (9, ) A. = 7 x 7 7 = x 7 7 = x 7 D. = 7 x 7

14 Graph the equation.. = x A x x 0 D x x 0 Write an equation in point-slope form for the line through the given point with the given slope. 6. (8, ); m = 6 A. D. 7. (, 0); m = 0.8 A. 0 = 0.8(x + ) = 0.8(x + 0) 0 = 0.8(x ) D. + 0 = 0.8(x ) Graph the equation. 8. = (x + )

15 A x x D x x 0 What is an equation of the line? 9. x A. + = (x + ) + = (x ) = (x ) D. + = (x + )

16 60. The table shows the height of a plant as it grows. What equation in point-slope form gives the plant s height at an time? Let stand for the height of the plant in cm and let x stand for the time in months. Time (months) Plant Height (cm) 7 9 A. = (x ) = (x ) = (x ) D. The relationship cannot be modeled. 6. The table shows the height above the ground of a helicopter taking off from the top of a building. What equation in point-slope form gives the helicopter s height at an time? Let stand for the height of the helicopter in m and let x stand for the time in seconds. Time (s) Height (m) A. = 8(x ) = (x ) = (x ) D. The relationship cannot be modeled. Find the x- and -intercept of the line. 6. x + = A. x-intercept is ; -intercept is x-intercept is ; -intercept is x-intercept is ; -intercept is D. x-intercept is ; -intercept is 6..9x +. = 0.9 A. x-intercept is 6.; -intercept is 8.6 x-intercept is.9; -intercept is. x-intercept is 8.6; -intercept is 6. D. x-intercept is.; -intercept is.9

17 What is the graph of the equation? 6. = A. x x D. x x 6. x =

18 A. x x D. x x 66. Write = x + in standard form using integers. 6 A. x 6 = 0 x + 6 = 0 6x = 0 D. x + 6 = 67. A paint store sells exterior paint for $.7 a gallon and paint rollers for $6.00 each. Write an equation in standard form for the number of gallons p of paint and rollers r that a customer could bu with $90. A = p.7r + 6p = 90.7p + 6r = 90 D..7p = 6r The video store rents DVDs for $.7 each and video games for $.00 each. Write an equation in standard form for the number of DVDs d and video games g that a customer could rent with $8. A..7g + d = 8.7d = g = d D..7d + g = 8 Write an equation for the line that is parallel to the given line and passes through the given point.

19 69. = x + 8; (, 6) A. = x 78 = x 6 = x + 6 D. = x + 6 Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. 70. = 6 x x = A. parallel perpendicular neither 7. = x + 0x + = A. parallel perpendicular neither Write the equation of a line that is perpendicular to the given line and that passes through the given point. 7. = 7 8 x ; (, ) A. 8 = 7 x 8 = 7 x = 7 x D. 8 = 7 x 8 7 What tpe of relationship does the scatter plot show?

20 x A. positive correlation negative correlation no correlation x A. positive correlation negative correlation no correlation 7. The scatter plot shows the number of mistakes a piano student makes during a recital versus the amount of time the student practiced for the recital. How man mistakes do ou expect the student to make at the recital after 6 hours of practicing?

21 mistakes x practice time (hr) A. mistakes 6 mistakes 7 mistakes D. mistakes Use a graphing calculator to find the equation of the line of best fit for the data. Find the value of the correlation coefficient r. Predict the missing value in the table. 76. John s Best Discus Throws Year Distance (meters) ? A. = 0.6x 86., r = 0.99; 7.67 =.086x , r = 0.99; 7.09 = 0.6x + 86., r = 0.99; 7.09 D. = 0.6x + 86., r = 0.99; Hours Studing Exam Mark (%) ? A. = 6.86x +.96, r = 0.99; about 9% = x + 6, r = 0.9; about 9% =.96x , r = 0.99; about 89% D. =.96x , r = 0.99; about 99% In the following situations, is there likel to be a correlation? If so does the correlation reflect a causal relationship? Explain. 78. the average dail winter temperature and our heating bill A. There is a positive correlation. The higher the average dail winter temperature the

22 higher our heating bill. There is a negative correlation and a causal correlation. The higher the average dail winter temperature the lower our heating bill. There is no correlation. 79. Below are the graphs of and. How are the graphs related? x x 0 A. The graphs have the same shape. The -intercept of is 0 and the x-intercept of the second graph is 9. The graphs have the same -intercept. The second graph is steeper than. The two graphs are the same. D. The graphs have the same shape. The -intercept of is 0 and the -intercept of the second graph is 9. Write an equation for each translation of. 80. units down A. = x + = x = x D. = x 8. Graph each equation b translating = x.

23 A x x D x x 0 Write an equation for each translation of units right A. = x 6. = x + 6. = x 6. D. = x = x + = x What is the solution of the sstem? Use a graph.

24 A. (0.7,.) O x O x ( 0.,.7) D. ( 0.7,.) O x O ( 0.7, 0.) x 8. = x + = x A. x x (.,.) (0.67,.)

25 D. (, ) x (, ) x 8. Tom has a collection of 0 CDs and Nita has a collection of 8 CDs. Tom is adding CD a month to his collection while Nita is adding CDs a month to her collection. Find the number of months after which the will have the same number of CDs. A. month months months D. months 86. Kendra owns a restaurant. She charges $.00 for eggs and one piece of toast, and $.80 for one egg and one piece of toast. How much does Kendra charge for an egg? A piece of toast? A. $.0 per egg; $.60 for toast $.60 per egg; $.60 for toast $.60 per egg; $.0 for toast D. $.0 per egg; $.0 for toast What is the solution of the sstem? Use a graph. 87. = x + = x A. x x no solutions infinitel man solutions

26 D. (0, ) x x (0, ) (0, ) (0, ) What is the solution of the sstem? Use substitution. 88. = x + 6 = x A. (6, ) (, ) (, ) D. (, ) 89. x + = 7 = x + A. (6, ) (6, 7) D. (, ) 90. x = = x 7 z = x + A. x =, =, z = 7 x = 7, =, z = x =, = 7, z = D. x =, =, z = 7 9. A corner store sells two kinds of baked goods: cakes and pies. A cake costs $ and a pie costs $7. In one da, the store sold baked goods for a total of $9. How man cakes did the sell? A. 7 cakes 8 cakes cakes D. cakes What is the solution of the sstem? Use elimination. 9. x = x + = A. (, ) (, ) (, ) D. (0, )

27 9. x + = x = A. (,.) (, ) (, ) D. (, ) 9. x = 9 x + = 9 A. (, 9) ( 7, 9) (, ) D. ( 9, 9) 9. Sharon has some one-dollar bills and some five-dollar bills. She has bills. The value of the bills is $0. Solve a sstem of equations using elimination to find how man of each kind of bill she has. A. five-dollar bills, 0 one-dollar bills five-dollar bills, one-dollar bills five-dollar bills, one-dollar bills D. five-dollar bills, 9 one-dollar bills What is the solution of the sstem? Use elimination. 96. x + 8 = 9 7x = 7 A. ( 7, 9) (, ) D. ( 9, ) 97. x + = x + 8 = 0 A. (, ) (, ) (, ) D. (, ) What is the solution of the sstem? Use elimination. 98. x + 7 = 8x + 6 = 6 A. (8, ) (, ) (7, 0) D. (, ) 99. How man solutions does the sstem have? A. one solution infinitel man solutions two solutions D. no solution Graph the inequalit.

28 00. A. O x O x D. O x O x 0. A. O x O x

29 D. O x O x What is the graph of the inequalit in the coordinate plane? 0. A. x x D. x x

30 Computer Computer Computer Computer 0. An electronics store makes a profit of $7 for ever television sold and $90 for ever computer sold. The manager s target is to make at least $60 a da on sales from televisions and computers. Write a linear inequalit and graph the solutions. What are three possible solutions to the problem? A. p p 0 s Television 0 s Television (, ), (, ), and (, ) are three possible solutions. (, ), (, ), and (, 0) are three possible solutions. D. p p 0 s Television 0 s Television (, 0), (, ), and (, ) are three possible solutions. (, 0), (, ), and (, ) are three possible solutions. Which inequalit represents the graph?

31 0. O x A. D. 0. O x A. D. What is the graph of the sstem? 06.

32 A. O x O x D. O x O x What sstem of inequalities is represented b the graph? O x 0 A. D.

34 Algebra, Semester Exam Review Answer Section. ANS: B REF: - Variables and Expressions. ANS: C REF: - Variables and Expressions. ANS: A REF: - Variables and Expressions. ANS: C REF: - Variables and Expressions. ANS: D REF: - Order of Operations and Evaluating Expressions 6. ANS: C REF: - Order of Operations and Evaluating Expressions 7. ANS: B REF: - Order of Operations and Evaluating Expressions 8. ANS: A REF: - Real Numbers and the Number Line 9. ANS: D REF: - Real Numbers and the Number Line 0. ANS: B REF: - Real Numbers and the Number Line. ANS: D REF: - Solving Multi-Step Equations. ANS: A REF: - Solving Multi-Step Equations. ANS: A REF: - Solving Multi-Step Equations. ANS: A REF: - Solving Equations With Variables on Both Sides. ANS: A REF: - Solving Equations With Variables on Both Sides 6. ANS: C REF: - Solving Equations With Variables on Both Sides 7. ANS: D REF: - Literal Equations and Formulas 8. ANS: D REF: -6 Ratios, Rates, and Conversions 9. ANS: A REF: -6 Ratios, Rates, and Conversions 0. ANS: C REF: -7 Solving Proportions. ANS: C REF: -7 Solving Proportions. ANS: B REF: - Inequalities and Their Graphs. ANS: A REF: - Solving Multi-Step Inequalities. ANS: C REF: - Solving Multi-Step Inequalities. ANS: C REF: - Solving Multi-Step Inequalities 6. ANS: C REF: - Solving Multi-Step Inequalities 7. ANS: B REF: -7 Absolute Value Equations and Inequalities 8. ANS: D REF: -7 Absolute Value Equations and Inequalities 9. ANS: A REF: -7 Absolute Value Equations and Inequalities 0. ANS: B REF: - Using Graphs to Relate Two Quantities. ANS: The variables are distance and time. The distance from the store increases as she drives, and it stas constant each time she stops for a traffic light or to stop at a customer s house. After her third stop, she starts heading back to the store. The distance from the store decreases as she drives, and it stas constant for one more stop. Finall, she makes it back to the store and the distance is zero again. REF: - Using Graphs to Relate Two Quantities. ANS: A REF: - Using Graphs to Relate Two Quantities. ANS: A REF: - Patterns and Nonlinear Functions. ANS: A REF: - Graphing a Function Rule. ANS: D REF: - Graphing a Function Rule 6. ANS: D REF: - Writing a Function Rule 7. ANS: D REF: - Writing a Function Rule 8. ANS: B REF: -6 Formalizing Relations and Functions

35 9. ANS: D REF: -6 Formalizing Relations and Functions 0. ANS: A REF: -6 Formalizing Relations and Functions. ANS: A REF: -6 Formalizing Relations and Functions. ANS: B REF: -6 Formalizing Relations and Functions. ANS: A REF: - Rate of Change and Slope. ANS: B REF: - Rate of Change and Slope. ANS: B REF: - Rate of Change and Slope 6. ANS: A REF: - Rate of Change and Slope 7. ANS: B REF: - Rate of Change and Slope 8. ANS: B REF: - Rate of Change and Slope 9. ANS: D REF: - Slope-Intercept Form 0. ANS: A REF: - Slope-Intercept Form. ANS: D REF: - Slope-Intercept Form. ANS: D REF: - Slope-Intercept Form. ANS: C REF: - Slope-Intercept Form. ANS: D REF: - Slope-Intercept Form. ANS: D REF: - Slope-Intercept Form 6. ANS: B REF: - Point-Slope Form 7. ANS: D REF: - Point-Slope Form 8. ANS: B REF: - Point-Slope Form 9. ANS: A REF: - Point-Slope Form 60. ANS: B REF: - Point-Slope Form 6. ANS: A REF: - Point-Slope Form 6. ANS: A REF: - Standard Form 6. ANS: B REF: - Standard Form 6. ANS: D REF: - Standard Form 6. ANS: D REF: - Standard Form 66. ANS: C REF: - Standard Form 67. ANS: B REF: - Standard Form 68. ANS: D REF: - Standard Form 69. ANS: B REF: -6 Parallel and Perpendicular Lines 70. ANS: B REF: -6 Parallel and Perpendicular Lines 7. ANS: C REF: -6 Parallel and Perpendicular Lines 7. ANS: B REF: -6 Parallel and Perpendicular Lines 7. ANS: A REF: -7 Scatter Plots and Trend Lines 7. ANS: C REF: -7 Scatter Plots and Trend Lines 7. ANS: A REF: -7 Scatter Plots and Trend Lines 76. ANS: A REF: -7 Scatter Plots and Trend Lines 77. ANS: C REF: -7 Scatter Plots and Trend Lines 78. ANS: B REF: -7 Scatter Plots and Trend Lines 79. ANS: D REF: -8 Graphing Absolute Value Functions 80. ANS: B REF: -8 Graphing Absolute Value Functions 8. ANS: D REF: -8 Graphing Absolute Value Functions 8. ANS: A REF: -8 Graphing Absolute Value Functions 8. ANS: A REF: 6- Solving Sstems B Graphing 8. ANS: D REF: 6- Solving Sstems B Graphing 8. ANS: B REF: 6- Solving Sstems B Graphing

36 86. ANS: A REF: 6- Solving Sstems B Graphing 87. ANS: A REF: 6- Solving Sstems B Graphing 88. ANS: A REF: 6- Solving Sstems Using Substitution 89. ANS: D REF: 6- Solving Sstems Using Substitution 90. ANS: D REF: 6- Solving Sstems Using Substitution 9. ANS: A REF: 6- Solving Sstems Using Substitution 9. ANS: C REF: 6- Solving Sstems Using Elimination 9. ANS: C REF: 6- Solving Sstems Using Elimination 9. ANS: D REF: 6- Solving Sstems Using Elimination 9. ANS: A REF: 6- Solving Sstems Using Elimination 96. ANS: D REF: 6- Solving Sstems Using Elimination 97. ANS: C REF: 6- Solving Sstems Using Elimination 98. ANS: D REF: 6- Solving Sstems Using Elimination 99. ANS: C REF: 6- Solving Sstems Using Elimination 00. ANS: B REF: 6- Linear Inequalities 0. ANS: D REF: 6- Linear Inequalities 0. ANS: C REF: 6- Linear Inequalities 0. ANS: A REF: 6- Linear Inequalities 0. ANS: C REF: 6- Linear Inequalities 0. ANS: C REF: 6- Linear Inequalities 06. ANS: A REF: 6-6 Sstems of Linear Inequalities 07. ANS: C REF: 6-6 Sstems of Linear Inequalities

Algebra 1 Semester 1 Review

Class: Date: Algebra 1 Semester 1 Review 2013-2014 1. 7 4 2. What is the simplified form of each expression? 343 16,384 16,807 2,401 Ê ËÁ 4 7 ˆ 3 343 64 64 343 21952 407 What is the simplified form of