MAT09X FINAL EXAM REVIEW NAME MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question. Perform the indicated operations ) ( ) ) 6 86 Evaluate the epression, given the variables a, b, and c. ) b ac, a, b, c ) 6 0 Perform the operations, removing the parentheses, and collecting like terms. ) (r 6) (r ) ) r + 6r + 0 6r + 6r + Solve the equation. ) 8 (6 ) ) ) 0 0 6 8 ) Write an equation to represent the problem. Use the equation to solve the problem. 6) Jon works for a vacuum cleaner sales business. He receives $8 per week in salary plus a commission of 8% of his weekly sales. How much will Jon earn in a week when his sales total $6? $.00 $8.08 $9.6 $8.80 6) Solve the inequality. Draw a graph of the solution set. ) 8(9 ) ( ) ) Solve the inequality. 8) (a ) a a a a 8)
Solve the problem. 9) Jon has 006 points in his math class. He must have 6% of the 00 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class? 8 points 06 points 9 points 6 points 9) Solve the equation for the indicated variable. 0) y 0 Solve for y. 0) y y y y Solve the formula for the indicated variable. ) A P PRT Solve for T. ) PR P A A P A T T T T A P PR PR R Give the ordered pairs for the points labeled on the graph. ) ) C (, -); D (-, ) C (, ); D (, ) C (-, ); D (, -) C (, ); D (, ) Determine whether the ordered pair satisfies the equation. ) y 0 ; (, ) ) Yes No Determine whether this set of ordered pairs represents a function. ) {(-6, ), (-, -), (-, ), (-, -)} ) Function Not a function
Determine whether this table of values represents a function. ) Input Output - -8-9 -0 - Not a Function Function ) Determine whether the graphed relation is a function. 6) 6) Not a Function Function Evaluate the function for the given input value. ) Given f ( ) 6, evaluate f ( 6). ) 0 00 6 0 Solve the function for the input, given an output value. 8) Solve the function f ( ) ( 8), given f( ). 8) 88 86 8 88 Solve the problem. 9) The function C( d) 9d 0 describes the total cost of renting a truck, Where C is the total cost and d is the number of days the truck is rented. How many days can the truck be rented for $6? 0 days 9 days days days 0) Suppose the sales of a particular brand of appliance satisfy the relationship S( ) 0 800, where S() represents the number of sales in year, with = 0 corresponding to 98. Find the number of sales in 999. 60 90 0 60 9) 0)
Find the - and y-intercepts for the equation. Then graph the equation. ) y ) (0, ), (-, 0) (0, ), (-, 0) (0, ), (, 0) (0, ), (, 0) ) y ) (0, -), (, 0) (0, ), (-, 0) (0, ), (-, 0) (0, -), (-, 0) Decide whether the slope is positive, negative, zero, or undefined. ) ) Zero Positive Undefined Negative Find the coordinates for the y-intercept for the given equation. ) y (, 0) (-, 0) (0, -) 0, ) ) ) (-, 0) (0, 0) (0, -) None Find the slope of the line. 6) y 6) - 0 ) ) 0 undefined - 8) y 8)
Write the equation of the line with the given slope and y-intercept. 9) Slope = ; y-intercept = (0, -). 9) y y y y Solve the problem. 0) The numbers of new homes built in a certain city in recent years are given in the table. The set of data can be approimated with a linear function. Year = Number of years y = Number of new homes since 000 (in thousands) 000 0. 00.6 00.9 Identify the y-intercept from the table. (,.6) (.6, ) (., 0) (0,.) ) The numbers of new homes built in a certain city in recent years are given in the table. The set of data can be approimated with a linear function. Year = Number of years y = Number of new homes since 000 (in thousands) 000 0.9 00. 00. 0) ) Use the slope and the y-intercept from the table to write the equation of the line in slopeintercept form.. y 0..9 y..9 y.9 0. y 0..9 Find the equation of the line with the given characteristics. ) Slope = 8 ; passing through (, ). ) 9 y y y y 8 8 8 8 ) Slope = 0; passing through (, -). ) y y Write the slope-intercept form of the equation for the line passing through the given pair of points. ) (6, ) and (-9, -) ) y y y y Solve. ) ( ) ( ) )
Write the slope-intercept form of the equation for the line passing through the given pair of points. 6) y-intercept 0 and -intercept 6) y 0 y 0 y 0 y 0 ) The table lists the average annual cost (in dollars) of tuition and fees at a certain -year college for selected years, where year represents 99, year represents 99, and so on. Use the ordered pairs (, 8) and (9, 0) to find the equation of a line that approimates the data. (If necessary, round the slope to the nearest hundredth and the y-intercept to the nearest whole number.) ) Year Cost (in dollars) 06 8 6 6 9 0 y.8 08 y.8 9 y.8 9 y.8 Determine whether the ordered pair is a solution to the system. 8) y 9 ; (-6, -) y Yes No Solve the system. 9) y 6 y (, ) (, -) (-, ) (-, -) Write a system of equations. 0) Mark the electrician charges $0 for a house call, and then $ per hour for labor. Sara the electrician charges $00 for a house call, and then $0 per hour for labor. Write a cost equation for each electrician, where y is the total cost of the electirical work, and is the number of hours of labor. Mark: y 0 Mark: y 0 00 Sara: y 0 00 Sara: y 0 Mark: y 0 Sara: y 00 0 Solve the system. ) 6y Mark: y 00 0 Sara: y 0 y 0 (-6, ) (6, -) (6, ) (, 6) 8) 9) 0) ) 6
Choose the ordered pair which is a solution of the inequality. ) y 8 ) (, ) (0, 0) (, ) (, 0) Perform the operations. Reduce the fraction to lowest terms. Write improper fractions as mied numbers. ) 9 8 ) 6 8 8 8 0 ) 8 0 6 0 6 6 9 0 0 ) Simplify the epressions using Properties of Eponents. Assume variables represent nonzero quantities. ) ( ) ) 8 8 6 6) ( y ) 6) 8 6 6 y 9 y 8 6 6 y 9 6 y ) n 6n n 6n 6 n 6 ) 8) 6 m p 9 mp p m m p m p mp 8) Simplify the epressions using Properties of Eponents. Write all answers with positive eponents. Assume variables represent nonzero quantities. 9) 9) y z y z yz yz yz 9
6 0) ( y ) 0) 6 y 6 8 8 y y y Evaluate the function. ) Given h( ) ( ), find h (). ) 6 8 08 Multiply. ) ( y )( y ) ) 6 8 y 8 6 y 6 8 8 y 8 6 8 y ) ( 6)( 8) ) 8 8 8 ) (a ) ) a a a a a a Divide. Assume the variables represent nonzero quantities. ) 6 6 6 6 6 ) Problems 6 and refer to the table shown below The amount of waste in a landfill over a year period (in tons) is shown in the table below. Years t 6 9 Amount of Waste (in tons) W(t). 0.. 6) Determine W(). Include units. 6) 6 years 6 tons. years. tons ) For what value of t is W(t) =? Include units in your answer. ) 6 years 6 tons. years. tons 8
Problems 8 60 refer to the graph of f() shown below 8) Determine the domain of f(). 8) -0 0-6 - 8 0 9) Determine the range of f(). 9) 0 f() - f() 6 - f() 8 0 f() 8 60) Determine f(). 60) - 0 9
0 0-0 - 0-0 - 0 - - -0-0 0 0-0 - 0-0 - 0 - - -0-0 0