SHOW ALL OF YOUR WORK.

Algebra Semester Practice Final 0 3 6.) r 5r 9 9r 9 0r 8 0r 8 9r Name SHOW ALL OF YOUR WORK..) 3c d 8 8 9c d 9c d 8 6 6c d 6c d 3.) 5 9 5 5 0 0 35.) 5 6 6 5.) 6.) 3 z 3 3 5 0 36 z z 3 5 5 z 3 5 9 z 3.) 6 8 5 9 5 3 3 5 3 3 3 5 5 8.) n 5n 6 9 5n 3n 6n 3 3n 6 6n 6 9.) 3 9 3 3 3 3 6 6 6

0.) Ameer recentl bought a new cellphone for $50.The phone depreciates ever month at a rate of 30%. Which equation represents the value of Ameer s cellphone after t months? t t t t 0.05.9 50.30 500.0.03.) Adam invests $50 in a savings account in order to save mone to attend college. What will his balance be after 8 ears if the account earns 3.5% interest compounded semiannuall? $8. $39.0 $39.98 $33.50.) In 998, a gallon of gas cost $0.95. If the rate of inflation was 8% ever ear, how much does a gallon of gas cost in 00? $0.5 $.5 $3.80 $5.6 3.) Which graph represents the eponential equation? 3.) A set of data is collected to keep track of the mg of a medicine left in the adult s sstem. The potenc of the medicine mg () that is left in an adult s sstem after a number of hours () hours is represented b the equation 00(0.56). What is the potenc of the medicine after hours? 9.83 mg 3.5 mg mg 9.98 mg 5.) Categorize the following polnomial b degree and number of terms: 5w w Quadratic binomial Cubic binomial Quadratic trinomial Cubic trinomial 6.) Find the difference: 3 53 5 0 5 0 3 3 0.) Find the perimeter of the triangle below. 8 3 8 3

8.) Which of the following is equivalent to 5 9 0 6 5 30 9 5 30 9 9.) Find the product: m m m 5 3 3 5 3? 3 m 9m 3m 0 m m m 0 m m 5m m m 3 0.) Factor: m m m m 6 mm 6 mm 6 3.) Factor: 6 5 3 6 5 3 5 3 3 5 6 3 5.) Complete the factorization: n n n n 6 n 6 n cannot be factored 3.) Factor: 5 6 56 5 6 5 3 53.) Factor: 5a 36 (5a6)(5a 6) (5a 6) (5a36)(5 a 36) (5a)(5a 9) 5.) Factor: 6a 8b (a9 b ) (6a 8 b)(6 a 8 b ) (a 9 b)(a 9 b ) (a 3 b)(8a b )

6.) Which graph represents the following function? f ( ) 6 8.) What is the intercept of the function? f ( ) 3 5 0,,0 0,,0 f ( ). 8.) Identif the graph that represents the function - A) B) C) D) 9.) What is the equation for the ais of smmetr of the function? f 30.) Which of the following graphs represents a quadratic equation with: one real solution? two real solutions? (list all the appl) no real solution? ( )

For # 3 33: Solve the following quadratic equations b using an appropriate method from the list below. Factoring Inverse Operations Quadratic Formula: b b a a c 3.) Identif the solutions of the following equation: n 6, n 6, 3 n 3, n 8, 3 n 5n 6 0 3.) Solve the quadratic equation: 3 5 6,, 3., 5..59,.59 33.) How man solutions does the quadratic equation have? w One solution Two solutions Three solutions No real solution 3 5 3.) An object is thrown and its vertical motion is represented b the equation h 6t t 50, where t represents the time (in seconds) after it is thrown and h represents the height of the object. What will the height of the object be seconds after it is thrown? feet 6 feet 8 feet Not enough information provided. 35.) Mariela threw her book out the window because she was frustrated. The motion of the book is represented b the function: h t 36, where t represents the time (in seconds) after it is thrown and h represents the height of the book from the ground. How man seconds after the book is thrown will the book hit the ground? second.5 seconds seconds 3 seconds

36.) The value of a 96 Ford Mustang Shelb GT500 ears after its purchase can be modeled b the equation: 5. 359.99 80.8, where represents the value of the car and represents the ears since 96. In what ear does the car reach its minimum value? 98 96 956 99 3.) An object is thrown and its distance above ground is measured after it is thrown. The data is collected is shown in the table below. Sketch a scatterplot for the data and determine which tpe of regression would be necessar to find the function of best fit (if an). Height of Ball Linear Quadratic Eponential None Time (seconds) Height (meters) 0 0.3.3.9 3. 5. 6 0.9 Height (meters) 38.) Identif the domain and range of the quadratic function. D : all real numbers R : D : all real numbers R : D : R : all real numbers D : all real numbers R : all real numbers.5 0.5 0 0 3 5 6 Time (seconds) 39.) Which of the following relations are functions. Select all that appl. Graph A Graph B Graph C Graph D

For #0, use the following functions to perform the indication operations. 0.) Find the value for f ( ) g( ). f g ( ) 5 and ( ) 3.) Find the value of g( ) f ( ). 3 3 3 3 3 35 3 5 3 35 3 3 9 3 35 3 35.) Find the value of f ( 3) 6 6 8 3.) Use the function below to evaluate f ( ). 3 0.) Which of the following represents the equation: f A) B) C) D) 5.) Which of the following represents the function: f ( ) 3

6.) Given the quadratic equation, f function. The verte is shifted one unit right and three units up. The verte is shifted one unit left and three units down. The verte is shifted three units right and one unit up. The verte is shifted three units left and one unit up. 3, describe the graph when compared to the parent.) Identif the equation that represents the following graph: f f f f 8.) Identif the equation that represents the following graph: : Domain: Domain: : Domain: : Domain: : 9.) Identif the equation that represents the following graph: f f f f 50.) Identif the graph of the following piece-wise function: 6 3 f( ) Tr it on our own first!

Answers.) B.) A 3.) D.) D 5.) C 6.) B.) D 8.) A 9.) B 0.) C.) C.) D 3.) B.) A 5.) C 6.) D.) B 8.) D 9.) A 0.) C.) C.) B 3.) D.) A 5.) C 6.) B.) C 8.) A 9.) B 30.) D ; BC ; A 3.) C 3.) D 33.) D 3.) A 35.) D 36.) A 3.) B 38.) A 39.) AD 0.) A.) B.) C 3.) A.) B 5.) C 6.) C.) A 8.) B 9.) D 50.) C Use this practice final to prepare for the eam! You will need to know how to complete each problem. Answers.) B.) A 3.) D.) D 5.) C 6.) B.) D 8.) A 9.) B 0.) C.) C.) D 3.) B.) A 5.) C 6.) D.) B 8.) D 9.) A 0.) C.) C.) B 3.) D.) A 5.) C 6.) B.) C 8.) A 9.) B 30.) D ; BC ; A 3.) C 3.) D 33.) D 3.) A 35.) D 36.) A 3.) B 38.) A 39.) AD 0.) A.) B.) C 3.) A.) B 5.) C 6.) C.) A 8.) B 9.) D 50.) C Use this practice final to prepare for the eam! You will need to know how to complete each problem. Answers.) B.) A 3.) D.) D 5.) C 6.) B.) D 8.) A 9.) B 0.) C.) C.) D 3.) B.) A 5.) C 6.) D.) B 8.) D 9.) A 0.) C.) C.) B 3.) D.) A 5.) C 6.) B.) C 8.) A 9.) B 30.) D ; BC ; A 3.) C 3.) D 33.) D 3.) A 35.) D 36.) A 3.) B 38.) A 39.) AD 0.) A.) B.) C 3.) A.) B 5.) C 6.) C.) A 8.) B 9.) D 50.) C Use this practice final to prepare for the eam! You will need to know how to complete each problem.