Algebra 1 CP Semester Exam Review
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1 Name: Hr: Algebra CP Semester Eam Review GET ORGANIZED. Successful studing begins with being organized. Bring this packet with ou to class ever da. DO NOT FALL BEHIND. Do the problems that are assigned ever night and come to class prepared to ask about the things ou could not do. GET SERIOUS. The grade ou earn on this eam is worth 0% of our semester grade. MAKE NOTES AS YOU WORK. As ou do these problems, ou will come across formulas, definitions, problems, and graphs that ou will want to put on our notecard. NOTECARD: Your notecard must be in our own writing. You ma put on it anthing ou think will help ou on the eam. You ma use the front and back. You will turn it in with our eam. There is nothing on the eam that ou have not studied this ear. You will turn in our review packet before ou take our midterm. Each chapter in this packet will be worth homework points each. Midterm Review Assignments Due Date Assignment Frida /0 Chapters and ODDS Monda/ Tuesda / Wednesda / Thursda /6 Frida /7 Chapter ODDS Chapter ALL Chapter ALL Chapter 6 ODDS Chapter 7 ODDS rd hour eam: FRIDAY, Januar 8:00am th hour eam: Wednesda, Januar 9:am
2 Chapters & Evaluate the power..... when =. when = 6. m 8 when m = Write algebraic epressions and algebraic equations. Use as the variable. 7. the quotient of the cube of a number and 8. 0 less a number 9. 0 less than a number 0. a number increased b. a equals the cube of the difference of and. s is more than the product of a and b. Use the order of operations to evaluate the following [7( )+] ( + ) Evaluate each epression. 6. w + t (n + v ) if w =, v =, n = 6, and t = 8 7. ab 8b if a and b Match the verbal sentence with its equation or inequalit. 8. The difference of and a number n is equal to. A. n 9. The difference of a number n and is no more than. B. n 0. The difference of and a number n is at least. C. n =. The difference of a number n and is at most. D. n Use the formula D=rt to solve the following word problems.. And drove 0 miles at 0 mph. How man hours did he drive?. Katie drove 6 mph for ½ hrs. How far did she drive?. The collection of all output values is called the of a function.. The collection of all input values is called the of a function.
3 Identif the domain and range of the function. Input Output Domain: 7 6 Range: Domain: Range: 7 What is a relation? What is a function? Determine if each of the relations is a function. Write YES or NO and eplain our reasoning. 8. { ( -, ), ( -, ), ( 0, ) } 9. YES NO YES NO Graph the function using a table given the domain. 0. = + Domain: 0,,,. = Domain: 0 Domain Range Domain Range Write a rule for the function represented b the graph... Write a rule for the function represented b the table...
4 Graph the following numbers on the number line and then order the numbers from least to greatest. 6.,,, 0, 7., 0,,,, 0 Replace each with,, or to make a sentence true Evaluate the epression when = Find the sum or difference ( 9) (.6) (.) ( 6) 0. 7 (- ). - - Find the product or quotient r s Write an algebraic epression for the following inequalities. 60. a is at most 6. a is less than or equal to 6 6. a is at least Approimate the square root to the nearest integer Evaluate the epression for the given value of. 66. when when
5 Use the distributive propert to write an equivalent epression. 68. ( + ) 69. ( + )6 70. ( ) Simplif the epression ( ) ( + ) + 7 CHAPTER & ANSWERS D:,6,9, R:8,,, es no graphs C A r + s D a B a hr a mi a =. Range 8.< s = +ab. domain 9.> D:,,,7 0. < R: 8,7,6,
6 Chapter Solve the following equations a. m. c.. 8 d.. 8 a 6..a. 8 w c m 8m m d. m 9m. 9a ( a 6) 66. 7( ) 7. 6(r ) 7(r 6) 8..n.( n ) 6. ( 8) 7 9. (6w ) w t t. 8( ) b b b. 6p ( p ). 0d 6 d d
7 . How can ou tell if an equation has no solution, one solution or infinitel man solutions? 6. 8m 8m t t 6 t Write an equation for each problem, then solve. 9. The output of a function is more than times the input. Find the input when the output is A fitness center offers oga classes for $0 per class and sells oga mats for $9.9. A person paid a total of $9.9 to the fitness center for oga classes and the mat. Find the number of oga classes the person took. Identif a variable: Write an equation: Solve the equation:. It takes 70 inches of ribbon to make a bow and wrap the ribbon around the bo. The bow takes inches of ribbon. The width of the bo is inches. What is the height of the bo? Solve each proportion for the given variable.. a w Solve each percent problem. What is 6% of 9? 6. is 90% of what number? 7. 70% of what number is 6? 8. is % of what number?
8 Write an equation, and then solve it. 9. A map has a scale of in: 8 ft. Use the given map distance to find the actual distance:. in. 0. Matt bought a new Son walkman. The walkman normall costs $7.9 but was advertised for 0% off. What was the final cost of the walkman?. Your famil s dinner bill was $6.70. If our dad leaves a % tip, how much will he leave for the waiter? Solve for.. a + b = c. + b = c CHAPTER ANSWERS. a = 7. = -. =. in.. $9.86. m = -. =. b = -.. X =. c =.. d =. p = -.. X = a(c b). d = -6. m = -6. d = a =. a =. True infinite..7 False no sol. 6. a = - 6. = 6 6. Infinite c = 7. r = No solution w = n = 8. No solution m = - 9. w = - 9. = ft. 0. m = 0. t = 8 0. classes 0. $.6
9 Chapter Give the coordinates of the points labeled A, B, C, and D.. A =. A = B = B = C = C = D = D = Graph the function with the given domain. Then identif the range of the function.. = + ; domain: -, -, 0,,. ; domain: -, -, 0,, Range: Range: Decide which of the two points lies on the graph of the line.. 0 a. (, ) 6. 9 a. (, ) b. (, 8) b. (. ) Graph the following equations
10 Graph the function with the given domain. Then identif the range. 0. = ; D: 0. = - + ; D: 0 Range: Range: Find the -intercept and the -intercept of the graph of the equation Graph the equation using an method Plot the points and draw a line through them. Without calculating, tell whether the slope of the line is positive, negative, zero, or undefined. 7. (-, ) and (7, -) 8. (-, -) and (-, -) 9. (-7, ) and (-7, -8)
11 Find the slope of the line that passes through the points. 0. m =. m = Use the slope formula to find the slope of the line that passes through the given points.. (, ) and (-, 0). (, 0) and (8, 0). (-6, -6) and (-, -). The graph shows the cost (in dollars) to mail a letter that weighs one ounce during certain ears. a. Determine the time interval during which the cost to mail a one-ounce letter showed the greatest rate of change. b. Determine the time interval during which the cost to mail a one-ounce letter showed the least rate of change. Identif the slope and -intercept of the line with the given equation m= b= m= b= m= b= Match the equation with the graph. Put the letter of the graph on the line net to its equation. a. b. c
12 Tell whether the equation represents direct variation. If so, identif the constant of variation Given that varies directl with, use the specified values to write a direct variation equation that relates and.. =, = 6. =, = = -8, = 6 CHAPTER ANSWERS. A(-, ) B(, -) C(, ) D(0, ). A(, 0) B(-, -) C(-, ) D(, ). R:,,,, 6. R: -, 0,,,. neither 6. b. (, ) 7. = + 8. see graph 9. = + 0. R:. R:. -int: (-, 0), -int: (0, ). -int: (, 0), -int: (0, ). see graph. see graph 6. see graph 7. negative 8. positive 9. undefined 0. m =. m = 0. m =. m = 0. m = a b m =, b = 7. m =, b = 8. m = und, b = none 9. A 0. B. C. es, k = 8. no. no. 6. = = -8
13 Chapter. What is Slope-Intercept form?. What is standard form? Write the equation of each line described in slope-intercept form.. m = b = 0. slope = - through (, 6). through (, 0 ) and ( -, - ) Write the equation for each line in slope-intercept form Equation 7. Equation slope -int (, ) slope -int (, ) Write the standard form for the given equation Write the equation in slope-intercept form m = and b. m = through (0, ) -. m = through (-6, ). m = through (, ). (6, ) and (, -0). (, ) and (, 8)
14 Find the slope of each line and circle if each set of points is parallel, perpendicular, or neither. a) 6 a) a ) 8 6, b) b) b) 6 6. ma= 7. ma= 8. ma= mb= mb= mb= parallel perpendicular parallel perpendicular parallel perpendicular neither neither neither Write the equation of each line described in slope-intercept form. 9. Parallel to through (, ) 0. Perpendicular to through ( 6,) Write an equation in the given form of the line shown... Point-slope form: Slope-intercept form: Standard form: Point-slope form: Slope-intercept form: Standard form:. Write an equation for the function with values f and f 6. Write an equation for the function with values f and f
15 # of Golf Facilities (in thousands) Identif a point on the line and the slope of the line, then graph the equation below.. ( ) 6. ( ) m: m : point: point: 7. Describe the nature of the correlation of the data points. (a) (b) (c) (d) 8. The table shows the number of golf facilities in the Unites States during the period Year Golf Facilities (in thousands) a) Make a scatter plot of the data where is the number of ears since 997 and is the number of golf facilities (in thousands) b) Write an equation that models the number of golf facilities (in thousands) as a function of the number of ears since 997. c) Use the equation from part (b) to predict the number of golf facilities in 00. # of Years Since 997 d) Predict the ear in which the number of golf facilities reached 6, 000.
16 CHAPTER ANSWERS. = m + b. = - 0. = - + 7a. none. A + B = C. = +. = - ( + ) 7 b. negative. = = - + = 0 7c. zero = -. = - +. = 7 8. = -( + ) 7d. positive = =. = + + = -7 8a. see graph 6. = - 6. ma = -, mb =. = 8b. = m = -, -int (0, ) perpendicular 7. = + 7. ma =, mb =. = - 8c. m =, -int: (0, ) neither 8. = - 8. ma =, mb =. m = - 8d. 00 Parallel pt: (-, -) 9. + = 0. = = m = pt: (, )
17 CHAPTER 6 Write the inequalit shown b the graph.... Solve and graph each inequalit.. (8 p) <. ( n) < > + 8. ( + ) > (m ) 6(m ) 0. 7( p + ) < p + + p. ( ) > 8 + Solve and graph each Compound Inequalit.. < +. 7 < 8 <
18 . < 0. 0 ( ) < 8 6. ( + ) < 6 or < 8 or + < Solve each absolute value = 9. = 9 0. = 8. + =. 6 0 =. 6 + = Solve and graph each absolute value inequalit. Remember AND/OR.. < > < 8. 0 < >
19 Solve and graph each inequalit < 6 Tell whether the ordered pair is a solution of the sstem of inequalities.. (, 0). (, )., < 6., < CHAPTER 6 ANSWERS.. - <. = or = -. No. > -. < < < < 6.. See graph. <. >. > or < See graph. p > n 6. < - or 7. 6 > > < 7. < or > 8. > > 6 7. < - 8. = or = - 9. > 0 or < - 8. no sol. 9. = - or = all reals 0. = or = no sol.. = 0 or = -6. < 6. no sol.. No sol.-. es
20 Chapter 7 Tell whether the ordered pair is a solution of the equation.. (, ). (-, ). (-, -) + = 6 = = - + = + = - + = - Solve the linear sstems b graphing.. =. + = = - = = -8 + = = = 9. + = - + = 8 = - + = -9 Solve the linear sstems b substitution
21 Solve the following sstems b using elimination
22 Solve the following -variable sstems.. 9 z z z. z z z Graph the sstem of linear inequalities Solve the stor problems using an method that ou want. 7. You are selling tickets to a high school pla. Student tickets costs $ and general admission tickets cost $8. You sell 6 tickets and collect $797. How man of each tpe of ticket did ou sell? 8. A hotel rents a double-occupanc room for $0 more than a single-occupanc room. One night, the hotel took in $ after renting double-occupanc rooms and 6 single-occupanc rooms. Write and solve a linear sstem to find the cost of renting a double-occupanc room and the cost of renting a single-occupanc room.
23 9. A drummer is stocking up on drum sticks and brushes. The wood sticks that he bus are $0.0 a pair and the brushes are $ a pair. He ends up spending $90 on sticks and on brushes and bus two times as man pairs of sticks as brushes. How man sticks and how man brushes did he bu? CHAPTER 7 ANSWERS. No. (-, ). (8, 8). Yes. (, ). (, 6, -). Yes. (6, -). (-, 0, ). (, ). (, -). (-, ). (-, -) - 6 see graphs 6. (, -) 6. (, ) 7. 7 student tickets and 9 general admission tickets 7. (-, 0) 7. (-, ) 8. = $88.66, = $ (-, ) 8. (0, ) 9. =, = 9. (-, 6) 9. (, -) 0. (.7, ) 0. (, -)
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