Name: Algebra I Schreiber

Transcription

1 Name: Algebra I Schreiber CHAPTERS 0 REVIEW ASSIGNMENT DUE TUESDAY, APRIL ND Extended Response / Multiple Choice /48 Total /8 Extended Response. Write an example of an irrational number and explain why it is irrational. ( pts.). Solve the following equation: n ( 4n ) n( n ) + = ( pts.). Donna wants to make trail mix made up of almonds, walnuts, and raisins. She wants to mix one part almonds, two parts walnuts, and three parts raisins. Almonds cost $ per pound, walnuts cost $9 per pound, and raisins cost $ per pound. Donna has $ to spend on the trail mix. Determine how many pounds of trail mix she can make. [Only an algebraic solution can receive full credit.] ( pts.) 4. Solve 8m + 0m= for m by factoring. ( pts.)

2 . The formula for the circumference of a circle is C= πr, where r is the radius of the circle. (a) What is the formula solved for r? ( pt.) (b) What is the radius of a circle with a circumference of 7.7 meters? Round your answer to the nearest tenth of a meter. ( pts.). Consider the function y = x +. y (a) What are the coordinates of the turning point? ( pt.) (b) Graph the function on the grid to the right. ( pts.) (c) How was the graph of y = x shifted to produce the x graph of this function? ( pts.) (d) State the range of the function. ( pt.) 7. Find the solutions to the following equation in simplest radical form by using the technique of Completing the Square. ( pts.) x + 4x = 0

3 8. Ryker is given the graph of the function y = x 4. He wants to find the zeros of the function, but is unable to read them exactly from the graph. Find the zeros in simplest radical form. ( pts.) 9. A hotel is offering the two weekend specials described below: Plan nights and 4 meals for $ Plan nights and meals for $.0 For accounting purposes, the hotel will record income for the stay and the meals separately. This means that the cost per night for each special must be the same and the cost per meal for each special must be the same. What is the cost per night and the cost per meal? (a) Write a system of equations to represent the situation. ( pt.) (b) Solve the system. ( pts.)

4 0. Next weekend Marnie wants to attend either carnival A or carnival B. Carnival A charges $ for admission and an additional $.0 per ride. Carnival B charges $.0 for admission and an additional $ per ride. (a) In function notation, write A( x) In function notation, write B( x) ( pts.) to represent the total cost of attending carnival A and going on x rides. to represent the total cost of attending carnival B and going on x rides. (b) Determine the number of rides Marnie can go on such that the total cost of attending each carnival is the same. [Use of the set of axes below is optional.] ( pts.) y x (c) Marnie wants to go on five rides. Determine which carnival would have the lower total cost. Justify your answer. ( pts.)

5 Multiple Choice ( pts. each). What is the length of the missing side?. ().8 () () 8 4. Which of the following functions models exponential decay?. () f ( x ) = i x () y = x () y = i 0.8 x f ( x ) =.8 x. What is the common ratio of the geometric sequence 08,,, 4,?. () () () For which function defined by a polynomial are the zeros of the polynomial 4 and? 4. () y = x 0x 4 () () y x x y x x = = y = x x Which relationship is continuous?. () the number of cows a farmer has owned over the year () the distance a runner ran during training () the number of cookies Rachel baked for a party the number of people attending an assembly. What are the next two terms of the following sequence?., 4, 8,,... (), 4 (), 4 (),4,4 7. Which equation has a graph parallel to the graph of 9x+ y =? 7. () y = x () y = x+ 8 () y = x+ y = x 8. What is the simplified form of (. 0 )( ) written in scientific notation? 8. 0 (). 0 () 8 ()

6 9. What is the simplified form of ( 4p )( p 4)? 9. () 4p + p () 4p 4p () 4p 8 p+8 4p p+ 0. Which ordered pair is not in the solution set of y > x+ and y x? 0. () (,) () ( 4, ) () (, 4 ) ( 4, 4 ). If x = and 4 y =, what is the value of xy?. () () 4 () 4 (. What is the value of 4 )?. () () 7 () 9. What is the factored form of m 7?. ( m ) ( m + ) ( m+ )(m ) ( m )( m+ ) () () () 4. You estimate that a box can hold in. The box is actually 0. in. long, in. wide, and 8 in. tall. To the nearest percent, what is the percent error in your estimation? () % () % () 4% 77%. What is the y-intercept of the line with equation x+ 4y =?. () 0. (). () 4. If the quadratic formula is used to find the roots of the equation the correct roots are x x 9= 0,. () ± 7 () ± 7 () ± 4 4 ± 4 4

7 7. A healthy, adult cheetah can run 0 feet per second. How fast can a cheetah run 7. in miles per hour? () () 7 () What is the equation of the axis of symmetry of y x 4x? = + 8. () x = () x = 0 () x = x = 9. What is an equation of the line that passes through the points ( 4,) and ( ) () y = x 7 () y = x () y = 7x+ y = x+ 7,? Which graph represents all of the solutions of k ( k ) () () > + 4? 0. (). What property is illustrated by the equation ( 8+ ) + 7= ( + 8) + 7?. () Commutative Property of Addition () Distributive Property () Associative Property of Addition Identity Property of Addition. A store is having a clearance sale where merchandise on the sales rack is reduced. by 80% from the original price. If a jacket was originally priced at $7, what is the sale price? () $.0 () $4.0 () $0.80 $7.40. Which equation represents the line that passes through the points (, ) () y + 4= ( x+ 9 ) () y = ( x+ ) () y+ 4= ( x+ ) 9 y+ = ( x ) ) and ( 4, 9?. 4. What is the factored form of x + x? 4. () ( x+ )( x ) () ( x+ )( x ) () ( x )( x+ ) ( x )( x+ )