Name: Period: QVMS GTA FALL FINAL EXAM REVIEW PRE-AP ALGEBRA 1

Transcription

1 Name: Period: QVMS GTA FALL FINAL EXAM REVIEW PRE-AP ALGEBRA ) When simplifing an epression, ou perform operations inside grouping smbols first. a. alwas b. sometimes c. never ) The opposite of a negative number is negative. a. alwas b. sometimes c. never ) Write an algebraic epression for the phrase times the sum of b and a #-9 Simplif the epression ) ) (7 c)( ) ) 7) 9 (8 ) 8) 8 ( ) ( ) 9) ( c ) ( c ) ( c ) #0- Evaluate the epression using the values given 0) ( z),, z ), ) ( p m) 7 m, p ) n n m m, n ) b b ab a, b ) ( m p) m 9 m, p #- Solve the equation for the given variable ) 7 7) 7d + d + d = d 8) = 9 9) n (n 8) 0) 8( ) 8 ) ) ( )

2 ) 8 ) p 0 ) 8 8 ) The perimeter of the rectangle is 8 cm. Find the value of. 7 cm m ( + ) cm 7) Find the percent of change in altitude if a weather balloon moves from ft to ft. Describe the percent of change as an increase or decrease. Round to the nearest tenth if necessar. 8) The circulation of a newsletter decreased from 70 to 0. Find the percent of decrease in circulation to the nearest percent. 9) A pair of shoes costs $.99 and the state sales ta is %. Use the formula C = p + rp to find the total cost of the shoes, where C is the total cost, p is the price, and r is the sales ta rate. 0) Identif the graph if is negative. a. c. b. 0 0 #-9 Solve and graph the inequalit d. 0 0 ) ) 0 ) 8 ) ) ) w < 8 7) < 8) h + (h ) > 0 9) 0 0) Your class hopes to collect at least 00 cans of food for the annual food drive. There were 7 cans donated the first week and more the second week. a. Write an inequalit that describes this situation. Let c represent the number of cans of food that must be collected b the end of the third week for our class to meet or surpass our goal. b. How man cans are needed to meet or surpass our goal?

3 ) Tell if each mapping is a function and write the ordered pairs for the mapping. a. b. ) Which of the following relations is NOT a function? A) {(, ), (, ), (7, 9)} B) {(, ), (, )} C) {(, ), (, ), (, )} D) {(, ), (, )} ) What is the domain of the relation graphed below? ) What is the range of the relation graphed below?

4 ) What is the domain and range of the graph below? ) What is the domain and range of the graph below? ) What is the domain and range of the graph below? ) Find the range of for the domain {,,, } 9) Find the domain of for the range {, 8,, 8}

5 0) The number of students attending a universit decrease as the tuition at that universit increases. Identif the independent and dependent quantit in the situation. ) A camera manufacturer spends $,00 each da for overhead epenses plus $9 per camera for labor and materials. The cameras sell for $ each. a. How man cameras must the compan sell in one da to equal its dail costs? b. If the manufacturer can increase production b 0 cameras per da, what would their dail profit be? ) A car travels at a rate of 0 mph. a. Write a rule to describe the function. b. How far will the car travel in and a half hours? ) A van travels 0 miles on 0 gallons of gas. Write and solve a function to find how man gallons the van needs to travel 0 miles. ) A package deliver compan has determined that the can meet their schedules if the have drivers for ever 0 square miles of area the cover. If the want to offer service to a count of 7 square miles, how man drivers must the have? ) What equation models the data in the table if d = number of das and c = cost? Das Cost 8 0 ) Write a function rule for the table. Das Cost to Rent a Truck ) Write a function rule for the table. f() 0 8) Write a function rule for the table. f() 8 0 9) Find the unit rate for number of parts manufactured per hour if 007 parts are made in hours. Round to the nearest integer. 0) A map has a scale of cm : 7 km. Two cities are.8 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?

6 ) The rate of change is constant in each table. Find the rate of change. Eplain what the rate of change means for the situation. Time (hours) Distance (miles) ) Which graph is the most appropriate to describe a quantit decreasing at a stead rate? a. c. b. d. ) Find the constant of variation for the direct variation. ) Find the constant of variation for the direct variation. f() ) Write an equation of the direct variation that includes the point (, ). ) Find the slope of the line. 7) Find the slope of the line containing the points (, 7) and (, 0)

7 #8-7 Graph the equation 8) 9) 70) 7) 7 ( ) 7) 0 0 7) 7) 7) Find the slope and -intercept of the line + = 7) Write an equation of a line with the given slope and -intercept. m =, b = 77) Write the slope-intercept form of the equation for the line. 78) Find the - and -intercept of the line. 9 + = 79) 7 Write ( ) in standard form. 80) 9 Write in standard form. 8) Write an equation in point-slope form for the line through the given point with the given slope. (7, 8); m =

8 8) A line passes through ( 9, ) and (, 9). a. Write an equation for the line in point-slope form. b. Convert to slope-intercept form. c. Convert to standard form. 8) A line passes through (, ) and (, 7). a. Write an equation for the line in point-slope form. b. Convert to slope-intercept form. c. Convert to standard form. 8) What is the slope-intercept form of the equation ) Write the equation so that is a function of. 0 8) Tell whether the lines 7 and 7 = 8 are parallel, perpendicular, or neither. 7 87) Tell whether the lines = + and + = are parallel, perpendicular, or neither. 88) Tell whether the lines and 8 = are parallel, perpendicular, or neither. 89) Write an equation for the line that is parallel to the given line and that passes through the given point. = 9; ( 8, 8) 90) Write an equation for the line that is parallel to the given line and that passes through the given point. 7 0 ; (, ) 9) Write the equation of a line that is perpendicular to the given line and that passes through the given point. + = ; ( 9, ) 9) Write the equation of a line that is perpendicular to the given line and that passes through the given point. 9) Given ; (, ) f ( ), find f ( 9) 9) Given f ( ), find when f( ) 0 #9-99 Find f ( ) for the given function. 9) f ( ) 9) f ( ) 97) f ( ) 98) f( ) 99) f( )

9 Score Score Score Score 00) Which graph shows the best trend line for the following data. a. 0 Violin Competition c. 0 Violin Competition b. 0 Practice (weeks) Violin Competition d. 0 Practice (weeks) Violin Competition Practice (weeks) Practice (weeks)