26 Questions EOC Review #1 EOC REVIEW
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1 Name Period 6 Questions EOC Review # EOC REVIEW Solve each: Give the BEST Answer. You may use a graphing calculator.. Which quadrant contains the verte of the following: f ( ) 8 st nd rd d. 4th. What type of equation is described by the data below? f() Linear Quadratic Eponential d. None of these.. The equation y 5( ) passes through which of the following points? (-, ) (,-) (-, -) d. (-, ) 4. Solve the following equation for : a y b a b y a b y y a b d. y a b 5. What is the 00 th term in the following sequence: 5, 6, 49, ,404 0,609 0,86 d.,05 6. To download music from the web, an internet site offers a monthly membership and charges $0.59 a song. If the monthly membership is $5, which equation represents the cost (c) of buying songs in one year with the club? c= c= c= d. c= Which parabola below would have the narrowest graph? y y 45 7 d. y 7 7 y 7 45
2 Name Period 6 Questions EOC Review # EOC REVIEW 8. Multiply: ( a 5b)(a b) 5a ab 4b 5a 7ab 5b 6a 7ab 5b d. 6a 7ab 5b 9. What is equation for a horizontal line which passes through (-, -)? =- +=0 y=- d. y+=0 0. Which equation below has a graph with a slope of -½? -y= -+y= -y-= d. +y=. How many solutions are there to the equation: d. Infinite. What is the equation for a line passing through (-, 5) perpendicular to y 8? y y ( 5) y 5 ( ) d. y 5 ( ) 5 ( ). If the equation y 7 were graphed, which of the four quadrants would be shaded completely? st rd 4th d. None. 4. What is the range for the function f ( ) 4? hint: find the verte. { 4} y { y 4} { y 4} d. {all real numbers}
3 Name Period 6 Questions EOC Review # EOC REVIEW 5. Factor Completely: 4 ( ) ( )( ) ( )( ) d. ( )( ) 6. Which formula could be used to find the nth term of the sequence below? 60, 80, 40, 0, 0, 60 a n n 0 a n n a n d. a n n n 7. Write an equation based on the table below showing the amount earned a mowing lawns based on the number of hours worked h, including an initial fee. hours worked h earned amt. a $4.75 $5.75 $7.5 $9.75 $ h 5. 5 a a 9.75h 5 a 9.5h 5. 5 d. a 9h In problem number 7 above, how much could you earn mowing lawns for 6 hours and 5 minutes? $64.96 $65.45 $65.94 d. $ Which equation below does NOT represent a function? y= =y y= d. y= 0. The height of a flare fired from a gun can be described by: h 6t 60t where t is the time in seconds and h is the height in feet. How long will it take for the flare to reach 6 feet?.75 seconds second.5 seconds d. seconds. Solve for : 0 {, } {, } {, } d. no solutions
4 6 Questions EOC Review # Name Period EOC REVIEW. A photograph is two inches taller than it is wide. The frame around the photo is three inches wide. Which epression below represents the area of the frame based on the width of the photo? w 6w+4 w+48 d. w +w. Which equation below is parallel to y 9 and shifted up 5 units? y y 4 y 4 d. y 4. A basketball is dropped from a height of 0 feet. Each time it lands it bounces ¾ of the height it reached the last time. How high does the ball reach after the 5 th bounce? 50.6 ft 8.0 ft 8.5 ft d..4ft 5. If y varies directly as, and when y=6, =5, solve for y when = d Solve the following system of equations: y 7 y (-, 5) (5, -) (-4, 9) d. (5, -4)
5 6 Questions EOC Review # Solve each: Give the BEST Answer. You may use a graphing calculator Divide the following: 5 Name Period EOC REVIEW d. 6. The height of a baseball struck at 45 meters per second can be described by h 9.t 45t. How high will the ball be after seconds? 7.8 meters 5.6 meters 5.9 meters d. 6.4 meters. Write an equation based on the table below showing the cost c of a cab ride based on the number of miles driven m. cost c Miles m c. 5m c m. 0 c.05. 5m d. c.05m In problem number above, which value represents the dependent variable? Miles driven Cost of cab ride y-intercept d. $.5 5. A car drives up a mountain for 4 miles, and gains,700 feet in altitude. What is the approimate slope of the road? ( mile=5,80 feet) d A particular species of shark weighs pounds at birth, and gains pounds per week until it is years old. Which of the following equations could be used to find the weight y of a young shark who is weeks old? y=+ y= y=+ d. y=-
6 6 Questions EOC Review # 7. Where does the graph of y 5 cross the y-ais? EOC REVIEW 5 0 d A bakery can make 0 batches of chocolate chip cookies in 480 minutes, and 40 batches in 600 minutes. After the initial time required for preparation, how long does it take to bake each batch of cookies? 6 minutes 5 minutes minutes d. 0 minutes 9. What is equation for a line with a slope of zero which passes through (-, )? = =- y=- d. y= 0. Which equation below has a graph with an undefined slope? Name Period =y y=0-5=0 d. y-=0. A player scored 7 points, making 6 shots from the field. How many of these shots were three-pointers? 0 5 d. 8. Mark earns $0,000 per year, and an additional amount equal to %of his total sales. Which equation below could be used to graph Mark s salary (y) based on his sales ()?. 0y 0, 000 y 0, 000 y. 0 0, 000 d. y 0, 000. Which equation below represents a line which passes through the points (-, ) and (, 5)? y 4 y y 4 d. y What is the range for the function ( ) 5 { y 55} f for the domain D { 5} R R { y 45} R { y 55} d. R { y 45}
7 6 Questions EOC Review # EOC REVIEW 5. Which of the following is a factor of: 6 7 Name Period 7 d Which formula could be used to find the nth term of the sequence below? 7, 4, 8, 56,, a n 7n a n 7n a 7 n n d. a 7( ) n n 7. A unit cube has edges that are unit long, so that the surface area of a unit cube is 6u. Which formula below could be used to find the surface area A of a stack of unit cubes that is n cubes tall?...n (all answers in units ) A 6n A 4n A 4n n d. A 4( n ) For a and b 8 find a b d Which equation below does NOT represent a function? y y y d. 0. The height of a flare fired from a gun can be described by: h 6t 60t where t is the time in seconds and h is the height in feet. How long will it take for the flare to reach its peak height? seconds 5 second 8 7 seconds d. 8 seconds 4
8 6 Questions EOC Review # EOC REVIEW. Solve for : 0 Name Period {, } {, } {, } d. no solutions. A dining room is five feet longer than it is wide. You purchased a rug that fits in the room, leaving feet of bare floor around all four sides of the rug. Which epression below represents the area of the rug based on the width of the room? w(w-4) (w-4)(w+) (w+4)(w-) d. (w+5)(w+). Which equation below is parallel to y 0 but is shifted three units to the right? y 6 y 0 y 6 d. y 0 4. What is the distance between the following points on the coordinate plane? (-, 5) (6, -) 5 units 4 units 4 5 units d. 0 units 5. Find the midpoint of segment AB for A = (9,) and B = (-, -7) (4, -4.5) (4, -.5) (5, -4.5) d. (5, -.5) 6. The center of a circle drawn on the coordinate plane is at (4, -9). If one end of a diameter AB is at A(-, 7), what are the coordinates of B? (, ) (-0, -5) (,-5) d. (-0, )
9 6 Questions EOC Review # EOC REVIEW. Simplify: 4 y y Name Period y 4 y y 4 y d.. The height of a rocket launched at 0 meters per second can be described by h 9.t 0t. How high will the rocket be after.5 seconds?.4 meters 5.6 meters. meters d. 4.5 meters. Write an equation based on the table below showing the cost c of a stereo rental based on the days d it is rented: cost c $ $4 $58 $8 $0 days d c d c 0d c d 0 d. c 4d 8 4. In problem number above, which value represents the dependent variable? Days Rented Slope Cost of Rental d. Cost Per Day 5. A ski slope drops,400 feet. From start to finish, the skier travels about miles horizontally. Approimately what is the average slope of the mountain? ( mile=5,80 feet) 5 7 d A youth group sells cookies for $8 a bo. If they spent $000 buying the cookies, which equation below shows the profit (p) made by the group after selling (b) boes? p=8b-000 p=8b+000 p=000b+8 d. p=8b
10 6 Questions EOC Review # 7. Where does the graph of y 5 5 cross the -ais? Name Period EOC REVIEW 0 d. 8. Multiply: ( y) y 4y 4y y d. 4y 4y For a and b 9 5 find a b d Which equation below has a graph with a slope of ¾? - 4y= y - 4 = y = 4 + d. both a and c. A store has a total of 0 three-wheelers and four wheelers (off-road vehicles). If they have a total of 65 wheels on all the vehicles, how many three-wheelers do they have? d. 0. What is the equation for a line passing through (-, -) and (, )? y y y d. y. Which of the following is a solution to the system of inequalities below: y 7 and y (0, -0) (-0, -0) (0, 0) d. (-0, 0)
11 6 Questions EOC Review # EOC REVIEW 4. What is the 9 th term in the following sequence: 5,, 7,,. Name Period d Solve for : 5 50 { 0} { 5} { 0, 5} d. { 0, 5} 6. The number of bacteria present in an eperiment can be approimated by n 5.6t 000t, where t is the time in minutes. How many bacteria will there be in one-half hour? ,040 0,68 d. 58,4 7. Write an equation based on the table below showing the amount earned a babysitting based on the number of hours worked h, including an initial fee. hours worked h earned amt. a $ $ $4 $5 $6 5.5h 4. 5 a a 6h a 6h 5 d. a 5h 6 8. In problem number 7 above, what does the y-intercept represent? Hours worked Total Earnings Initial fee d. Hourly wages 9. The steepest section of the Tour De France climbs 00 meters over the course of kilometers. What is the average slope of the course in this section? (km = 000m) 0 0 d What are the coordinates of the verte of the following: y 8 (-, 7) (, 8) (, -7) d. (-, -8)
12 6 Questions EOC Review #. Solve for : 9 0 Name Period EOC REVIEW { } { 0.4} {,.5} d. {, 0.4}. What is the range for the function ( ) 9 { 9} f for the domain { }. (hint: pick several values) y { y 5} { y 5} d. { 5 y 9}. What would happen to the equation 9 y if it were changed to 7 y? The line would shift up two units and the slope would be parallel to the original. The line would shift down two units and the slope would be parallel to the original. The line would shift up two units and the slope would be perpendicular to the original. d. The line would shift down two units and the slope would be perpendicular to the original. 4. About how many years will it take $400 invested at 6% annual compound interest to double in value? t A p( r) 0 years years 5 years d. 0 years 5. Solve the following system of equations: y y (-, -6) (6, -) (, 6) d. (-, 6) 6. Which formula below could be used to determine the n th term in the following sequence:,, 6, 0, 5, a n n( n ) n( n ) a n n( n ) a n d. a n( n ) n
13 6 Questions EOC Review #4 EOC REVIEW 7 4. Simplify: a b ( a b ) Name Period a b a b a b d. a b. What is the slope of a line passing through the points (5,-) and (,-5)? - 7 d. 7. If the equation 6 y 8 is shifted up 5 units, what is the new y-intercept of the graph? - - d Solve the following inequality: d What is the 00 th term in the following sequence: -, -, 7, 6, 5, 0, d A band class is selling tickets to their concert. If they spent $00 preparing the production, and tickets are sold for $6, which equation below shows the profit (p) made by the group after selling (t) tickets? p=6t+00 p=6t-00 p=600t+00 d. p=600t Which equation graphed below would result in an upside-down parabola? 8. Multiply: y 45 ( y)( y) y 5 y d. y ( ) y y y y y y y d. y y y
14 Name Period 6 Questions EOC Review #4 EOC REVIEW 9. What is equation for a vertical line which passes through (-, -)? =- +=0 y=- d. y+5=0 0. Which equation below has a graph with a slope of ½? -y= y-= y=+ d. y+=. Which equation below represents the data given in the table? f() f ( ) ( ) 7 f f ( ) 7 d. f ( ) 9. What is the equation for a line passing through (, 4) parallel to y? y y 4 ( ) y 4 ( ) d. y 4 ( ) ( 4). If the equation y were graphed, which of the four quadrants would be shaded completely? st nd rd d. 4th 4. What is the range for the function f ( )? { y } { y } { y } d. {all real numbers}
15 Name Period 6 Questions EOC Review #4 EOC REVIEW 5. Which equation below could be used to find the roots of: y 0 0 ( )( ) 0 ( 0) 0 ( )( ) d. 0 ( )( ) 6. In the sequence below, the 5 th term is 8,886,080. What is the 6 th term? 5, -0, 0, -40, 80, 5,89,0-5,89,0 67,77,60 d. -67,77,60 7. Write an equation based on the table below showing the amount earned a babysitting based on the number of hours worked h, including an initial fee. hours worked h earned amt. a $ $ $45 $57 $69 5.5h 4. 5 a a 6h a 7h d. a 5h 6 8. In problem number 7 above, what does the slope represent? Hours worked Total Earnings Initial fee d. Hourly wages 9. Which set of points below does NOT represent a function? (-, ) (-, 4) (-4, 5) (-5, 6) (-, -) (-, -) (-4, -4) (-5, -5) (-, ) (-, ) (-, 4) (-, 5) d. (-, -) (-, -) (-5, -4) (-4, -5) 0. The height of a flare fired from a gun can be described by: h 6t 40t where t is the time in seconds and h is the height in feet. How long will it take for the flare to reach 900 feet? 4 seconds 5 seconds 6 seconds d. 7 seconds
16 Name Period 6 Questions EOC Review #4 EOC REVIEW. Solve for : 0 {.7, } {.5, } {.7, } d. no solutions. A rectangle is three inches longer than twice its width. Its perimeter is 6 inches. How long is the rectangle? 5 inches 8 inches inches d. 5 inches. What would be the new equation for y 9 if it were shifted up 5 units? y 4 y 4 y y d. 4. About how many years will it take $9,000 invested at 4% annual compound interest to double in value? t A p( r).5 years 5. years 7. years d. 9.0 years 5. Solve the following system of equations: y 9 y (-, -6) (6, -) (, 6) d. (-, 6) For a and b find b a d. 8 9
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