ALGEBRA 1 CP FINAL EXAM REVIEW

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1 ALGEBRA CP FINAL EXAM REVIEW Alg CP Sem Eam Review 0 () Page of 8

2 Chapter 8: Eponents. Write in rational eponent notation. 7. Write in radical notation. Simplif the epression Simplif. 0. ( z) a a 6. a b a. c ab.. p 6p p 6. 6m m Alg CP Sem Eam Review 0 () Page of 8

3 Alg CP Sem Eam Review 0 () Page of b a b a. 6 6 z z z z c b a b a 8. Identif each picture as growth or deca. Then identif the graph of eponential growth

4 Write a rule for the following functions Circle whether the function represents eponential growth and deca. Graph the function. Identif its domain and range.. Growth/Deca. 6 Growth/Deca D: D: R: R: Alg CP Sem Eam Review 0 () Page of 8

5 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 k 9 k 6. ( 9)( ) Alg CP Sem Eam Review 0 () Page of 8

6 Factor completel. 7. 8a b 0 ab a 0a 6. a a 7 7. h h n n n 0 Solve the equation b factoring. 0. ( )( ) a a. m m m. s ( s ) 7 Alg CP Sem Eam Review 0 () Page 6 of 8

7 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 Alg CP Sem Eam Review 0 () Page 7 of 8

8 Chapter 0: Quadratics Graph and compare to the parent function:.. 8. Fill in the following missing information and graph! 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

9 Solve the following equations using square roots. Leave our answers in radical form when necessar! Given the following equations, find the solutions/roots/zeros b completing the square c c. 8 9 Convert the quadratic to verte form: = a( h) + k. Identif the verte and ais of smmetr 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 A) A) A) B) B) B) Alg CP Sem Eam Review 0 () Page 9 of 8

10 Solve the following equations b using the quadratic formula Tell if the each table is linear, eponential or quadratic 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 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

11 Tell whether the table represents a linear, eponential, or quadratic function Tell whether the graph represents a linear, eponential, or quadratic function Alg CP Sem Eam Review 0 () Page of 8

12 Chapter : Radicals For problems #-, complete the tables, then graph Compare to = : Compare to = : Simplif the following a c 8. r s t 9. 0 z Alg CP Sem Eam Review 0 () Page of 8

13 Simplif the epression b rationalizing the denominator n Simplif the following epressions ( 6) 6. ( )( ) Solve the equation. Check for etraneous solutions Alg CP Sem Eam Review 0 () Page of 8

14 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

15 Chapter : Rational Functions Match the inverse variation equation with its graph Tell whether the equation represents direct variation, inverse variation, or neither. 8. = -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 m 6m 8. m m 9 EV: EV: EV: EV: Alg CP Sem Eam Review 0 () Page of 8

16 Find the product, then simplif Find the quotient, then simplif 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

17 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

18 Graph the polnomial function. Fill in the missing information. 7. f ( ) 8. f ( ) 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

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