ALGEBRA CP FINAL EXAM REVIEW Alg CP Sem Eam Review 0 () Page of 8
Chapter 8: Eponents. Write in rational eponent notation. 7. Write in radical notation. Simplif the epression.. 00.. 6 6. 7 7. 6 6 8. 8 8 6 Simplif. 0. ( z). 6 9. a a 6. a b a. c ab.. p 6p p 6. 6m m 7. 7 8 Alg CP Sem Eam Review 0 () Page of 8
Alg CP Sem Eam Review 0 () Page of 8 8. 9. 0.. 0 0 b a b a. 6 6 z z. 0. 0 z z. 8 7 9 0 6. 0 7. 7 7 c b a b a 8. Identif each picture as growth or deca. Then identif the graph of eponential growth
Write a rule for the following functions. 9. 0. Circle whether the function represents eponential growth and deca. Graph the function. Identif its domain and range.. Growth/Deca. 6 Growth/Deca - - 0 - - 0 D: D: R: R: Alg CP Sem Eam Review 0 () Page of 8
Chapter 9: Factoring Use this polnomial to answer #:. (a) Is the polnomial in order? If not, put it in order. (b) What is the leading coefficient of the polnomial? (c) What is the degree of the polnomial? Simplif.. ( h h ) (h 8h ). (9 b b) ( b b ) b. 7 (. 6 9) ( ) 6. z (z z z 6) 7. 0pq(pq p q ) 8. ( ) 9. a 6 0.. 7.... k 9 k 6. ( 9)( ) Alg CP Sem Eam Review 0 () Page of 8
Factor completel. 7. 8a b 0 ab 8. 0 00 9. 6 0. 00. 6. 9 0. 6 8. 8. 6a 0a 6. a a 7 7. h h 8. 9 9 9. n n n 0 Solve the equation b factoring. 0. ( )( ) 0. 0 0.. a a. m m m. s ( s ) 7 Alg CP Sem Eam Review 0 () Page 6 of 8
6. Find the zeros of the function: f ( ) 8 7. Find a polnomial that represents the PERIMETER of the figure. 8. Find a polnomial that represents the AREA of the figure. - 7 + Alg CP Sem Eam Review 0 () Page 7 of 8
Chapter 0: Quadratics Graph and compare to the parent function:.. 8. Fill in the following missing information and graph!.. 6 8 Opens: Ais of Smmetr: Verte: (, ) Ma or Min Value: Y-Intercept: Opens: Ais of Smmetr: Verte: (, ) Ma or Min Value: Y-Intercept: Solution(s): Solution(s): Alg CP Sem Eam Review 0 () Page 8 of 8
Solve the following equations using square roots. Leave our answers in radical form when necessar! 6. 6 7. 7 8. 6 8 8 Given the following equations, find the solutions/roots/zeros b completing the square. 9. 0. c c. 8 9 Convert the quadratic to verte form: = a( h) + k. Identif the verte and ais of smmetr.. 8. 6. Ais of Smmetr: Ais of Smmetr: Ais of Smmetr: Verte: (, ) Verte: (, ) Verte: (, ) Given the following equations: a) Find the value of the Discriminant; b) Tell whether the equation has two real solutions, one real solution, or no real solutions.. 6 0 6. 7. 0 A) A) A) B) B) B) Alg CP Sem Eam Review 0 () Page 9 of 8
Solve the following equations b using the quadratic formula. 8. 0 9. 0. 6 0 0 Tell if the each table is linear, eponential or quadratic.. - - - 0.. 6. 0. - - 0 8 6. Give an eample of a graph of a parabola which has: a) No real roots b) One real root c) Two real roots Solve the quadratic using an method.. 0. 0 6. 9 6 0 7. The length of Rachel s rectangular garden is 6 ards more than its width. The area of the garden is 9 square ards. What are the dimensions of the garden? (Hint: Use the quadratic formula.) Alg CP Sem Eam Review 0 () Page 0 of 8
Tell whether the table represents a linear, eponential, or quadratic function. 8. 9. 0 - - 0 - - 80 0 0 0 Tell whether the graph represents a linear, eponential, or quadratic function. 0... Alg CP Sem Eam Review 0 () Page of 8
Chapter : Radicals For problems #-, complete the tables, then graph... - 0 0 Compare to = : Compare to = : Simplif the following.. 00.. 6 9a 6. 6 7. 7c 8. r s t 9. 0 z 0. 8. 7 0 6.. 9. 7 00 Alg CP Sem Eam Review 0 () Page of 8
Simplif the epression b rationalizing the denominator.. 6. 7. 8 8 8. n 9. 0. 9 7 Simplif the following epressions... 8. 6 0. 7 7. ( 6) 6. ( )( ) Solve the equation. Check for etraneous solutions. 7. 6 8. 8 9. 0. 6 Alg CP Sem Eam Review 0 () Page of 8
Find the unknown lengths using the Pthagorean Theorem.. a =, b = 8. b = 7, c =.. Tell whether the triangle with the given side lengths is a right triangle:,, Find the distance between the two points.. (-, ) and (, ) 6. (8, -7) and (, -) Find the midpoint of the line segment with the given endpoints. 7. (, ) and (, ) 8. (-9, -) and (7, -) Alg CP Sem Eam Review 0 () Page of 8
Chapter : Rational Functions Match the inverse variation equation with its graph.. 0. 0. Tell whether the equation represents direct variation, inverse variation, or neither. 8. = -7. = 6. 7. = 0 For #-, write an equation that relates and FIRST, then solve. 8. If varies inversel as and 9. If varies inversel as and = 9 when =, find when = 9. = 0 when =, find when =. State the ecluded values and simplif the epression. 9 8 m 6 0... 7 m 6m 8. m m 9 EV: EV: EV: EV: Alg CP Sem Eam Review 0 () Page of 8
Find the product, then simplif. 8.. 8 7 6 6. 6 Find the quotient, then simplif. 0 7. 8. 7 8 8 9. 6 7 0 0. What value of when substituted in. What value of when substituted in 9 will make this fraction undefined? will make this fraction undefined? Alg CP Sem Eam Review 0 () Page 6 of 8
Polnomials Use the polnomial to fill in the missing information.. f ( ). f ( ) Standard Form: Standard Form: Degree: Degree: Tpe: Tpe: Leading Coefficient: Leading Coefficient: Number of zeros: Number of zeros: Y-intercept: Y-intercept: Ma Number of turning points: Ma Number of turning points: As As, f ( ) As, f ( ), f ( ) As, f ( ). f ( ). f ( ) Standard Form: Standard Form: Degree: Degree: Tpe: Tpe: Leading Coefficient: Leading Coefficient: Number of zeros: Number of zeros: Y-intercept: Y-intercept: Ma Number of turning points: Ma Number of turning points: As As, f ( ) As, f ( ), f ( ) As, f ( ) Evaluate the function for = -.. f ( ) 6. f ( ) Alg CP Sem Eam Review 0 () Page 7 of 8
Graph the polnomial function. Fill in the missing information. 7. f ( ) 8. f ( ) - - - - - - 0 0 Total Number of Zeros: Real Zeros (eact): Total Number of Zeros: Real Zeros (eact): Find the real zeros of the following functions b factoring. 9. f ( ) 6 0. f ( ) Alg CP Sem Eam Review 0 () Page 8 of 8