A.7A Mini-Assessment

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1 LGER I (.) Linear Functions. The formulates equations and inequalities based on linear functions, uses a variet of methods to solve them, and analzes the solutions in terms of the situation. The student is epected to () analze situations involving linear functions and formulate linear equations or inequalities to solve problems.. Mini-ssessment. Last week Lenn earned more than $00 mowing lawns and washing cars. He mowed lawns for $ each and he washed cars for $0 each. The inequalit 0 00 describes the mone he earned. Which ordered pair represents a reasonable number of lawns mowed and cars washed b Lenn last week? (, ) (, ) (, ) (, ). large vat containing 00 gallons of water has an input and a drain valve. The input valve allows 0 gallons a minute to fill the vat while the drain valve allows. gallons of water a minute to drain from the vat. If the input valve was open for minutes and then someone opened the drain valve, which equation will represent the amount of water, W, in the vat at t minutes, t >? W 00 0 t.( t ) W 00 0 t.( t ) W 00 0( t.t ) W 00 0t.( t ) Mrs. Martin rented a car on Tuesda at the rate of $ per da plus $0. per mile driven. Her bill for Tuesda was $ for rental and mileage charges. Mrs. Martin rented a car on Wednesda of the net week at the same rate and drove eactl. times as man miles as she drove on Tuesda the previous week. What was the amount of her bill Wednesda for rental and mileage charges? Record our answer on the grid below. e sure to use the correct place value Which inequalit best describes the graph below? TEKSING TOWR STR 0 Page

2 LGER I (.) Linear Functions. The formulates equations and inequalities based on linear functions, uses a variet of methods to solve them, and analzes the solutions in terms of the situation. The student is epected to () analze situations involving linear functions and formulate linear equations or inequalities to solve problems.. Which graph best represents the solution for the inequalit? TEKSING TOWR STR 0 Page

3 LGER I (.) Linear Functions. The formulates equations and inequalities based on linear functions, uses a variet of methods to solve them, and analzes the solutions in terms of the situation. The student is epected to ( () investigate methods for solving linear equations and inequalities using concrete models, graphs, and the properties of equalit, select a method, and solve the equations and inequalities.. Mini-ssessment. What is the value of, if (, ) is a solution to the equation?. Pedro sells cotton cand at the local fair. He must pa a booth fee of $ per da and the cotton cand cost him $0.0 each to prepare. If he sells the cotton cand for $ each, how man must he sell before he makes a profit? 0 0. t the local pet shop, the number of puppies sold, p, is at least three times the number of kittens sold, k. The graph below shows the relationship between the number of puppies sold and the number of kittens sold. p 0. Given that (, ) is a solution to the inequalit, which of the following is a possible value of? 0 Which of the following is true about this relationship? k. Susan bought new towels for her home. Large towels cost $ and small towels cost $ each, including ta. If she bus at least two large towels and spends no more than $, which of the following best describes the possible number of smaller towels, t, she could bu? The pet shop sold kittens and pupp. The pet shop sold kittens and puppies. The pet shop sold kitten and puppies. The pet shop sold kittens and puppies. 0 t 0 t 0 t 0 t TEKSING TOWR STR 0 Page

4 LGER I (.) Linear Functions. The formulates equations and inequalities based on linear functions, uses a variet of methods to solve them, and analzes the solutions in terms of the situation. The student is epected to: () interpret and determine the reasonableness of solutions to linear equations and inequalities.. Mini-ssessment. The Free Wheelers Jogging lub went on a Saturda morning jogging trip. The graph shows the relationship between time and distance traveled b the club members. Miles Jogged 0 :00 :0 :00 :0 0:00 0:0 The average rate of speed in miles per hour, r, can be found b the ratio r d t where d is the number of miles traveled and t is the number of hours. What was the average rate of speed from.m. to 0.M.? mph. mph mph mph. plumber charges a service charge of $0 plus $ per one-half hour of work. The cost to hire the plumber is given b the function f( ) 0 in which f( ) represents the cost and represents the number of one-half hours the plumber works. If the Jackson famil has $00 to spend on the water leak repair, what is the maimum number of hours the plumber can work to repair the leak?.. Jerem bought notebooks at $.0 and folders at $0. each. He spent less than $ on the school suppl purchases. The inequalit. 0. describes the cost of his purchase. Which ordered pair represents a reasonable number of notebooks and folders that Jerem purchased? (, ) (, ) (, ) (, ) TEKSING TOWR STR 0 Page

5 LGER I (.) Linear Functions. The formulates equations and inequalities based on linear functions, uses a variet of methods to solve them, and analzes the solutions in terms of the situation. The student is epected to: () interpret and determine the reasonableness of solutions to linear equations and inequalities.. Last week Lenn earned more than $00 mowing lawns and washing cars. He mowed lawns for $ each and he washed cars for $0 each. The inequalit 0 00 describes the mone he earned The length of the perimeter of the backard of a new home is represented b the inequalit w 00 P w 0, where w represents the width in feet of the lot where the new house is located. Which of the following is a reasonable perimeter of the backard if the lot is 0 feet wide? 00 feet 0 feet 0 feet 0 feet Which ordered pair represents a reasonable number of lawns mowed and cars washed b Lenn last week? (, ) (, ) (, ) (, ) TEKSING TOWR STR 0 Page

6 LGER I (.) Linear Functions. The student formulates sstems of linear equations from problem situations, uses a variet of methods to solve them, and analzes the solutions in terms of the situation. The student is epected to () analze situations and formulate sstems of linear equations in two unknowns to solve problems.. Mini-ssessment. The perimeter of a rectangular garden is feet. The length of the garden is feet more than three times the width. Which sstem of equations will determine the length, l, and the width, w, of the garden?. One angle of a parallelogram is 0 degrees more than three times another angle of the parallelogram. Which sstem of equations can be used to find the measures of the angles of the parallelogram, and? l w w l l w l w l w l w l w l w Toda Keith sold twice as man hotdogs at the Rangers game as he sold last Saturda. In the das he sold a total of hotdogs. Which sstem of equations will determine s, the number of hotdogs Keith sold last Saturda, and t, the number of hotdogs he sold toda? ts. The junior class at Summerfield High sold a total of tickets to their spring festival. The adult tickets sold for $.0 and the student tickets sold for $.0. The collected $.0 on the ticket sales. Which sstem of equations can be used to find how man adult tickets, a, and student tickets, s, the class sold? s t s t t s a s a s.0 a s.s. a.0.s. a.0 a s.0.s. a.0 a s TEKSING TOWR STR 0 Page

7 LGER I (.) Linear Functions. The student formulates sstems of linear equations from problem situations, uses a variet of methods to solve them, and analzes the solutions in terms of the situation. The student is epected to () analze situations and formulate sstems of linear equations in two unknowns to solve problems.. Two angles are supplementar. The measure of one of the angles is 0 degrees more than times the other angle s measure. Which sstem of equations can be used to find the measure of the two angles if t is the measure of the larger angle and s is the measure of the smaller angle? t 0 s 0 0 t 0 s 0 t ( s 0) s t 0 t s 0 TEKSING TOWR STR 0 Page

8 LGER I (.) Linear Functions. The student formulates sstems of linear equations from problem situations, uses a variet of methods to solve them, and analzes the solutions in terms of the situation. The student is epected to () solve sstems of linear equations using concrete models, graphs, tables, and algebraic methods.. Mini-ssessment. What is the -coordinate of the solution of the following sstem?. The graph shows two lines. Which best represents the point of intersection of these two lines? (, ) (, ) (, ) (., ) local movie theater charges $.0 for each adult ticket and $.0 for each child ticket to attend a matinee movie. If the theater sold a total of 00 tickets for a total of $, how man children tickets were sold? Record our answer on the grid below. e sure to use the correct place value.. rectangle s length, l, is times the width, w. If the perimeter of the rectangle is units, what are the rectangle s dimensions? units and units units and units units and units units and units TEKSING TOWR STR 0 Page

9 LGER I (.) Linear Functions. The student formulates sstems of linear equations from problem situations, uses a variet of methods to solve them, and analzes the solutions in terms of the situation. The student is epected to () solve sstems of linear equations using concrete models, graphs, tables, and algebraic methods.. The sum of two numbers is. Twice the larger number decreased b three times the smaller number is. Write a sstem of equations and solve the sstem b graphing to find the value of the two numbers. What is the solution? Show our work Larger number: Smaller number: 0 Larger number: 0 Smaller number: Larger number: Smaller number: - Larger number: Smaller number: TEKSING TOWR STR 0 Page

10 LGER I (.) Linear Functions. The student formulates sstems of linear equations from problem situations, uses a variet of methods to solve them, and analzes the solutions in terms of the situation. The student is epected () interpret and determine the reasonableness of solutions to sstems of linear equations.. Mini-ssessment. t a farmers' market cucumbers cost $.0 per pound and carrots cost $.0 per pound. Mrs. Lamb bought two pounds more cucumbers than carrots and spent $.0. How man pounds of each did she bu? pounds of cucumbers and pounds of carrots pounds of cucumbers and pounds of carrots pounds of cucumbers and pounds of carrots pounds of cucumbers and pounds of carrots. Kace and arla went shopping and spent $ altogether. Kace spent $ more than arla spent. How much did Kace spend? $0 $0 $00 $0. local movie theater charges $.0 for each adult ticket and $.0 for each child ticket to attend a matinee movie. If the theater sold a total of tickets for a total of $.0, how man child tickets were sold? Record ou answer on the grid below. e sure to use the correct place value.. The equations of two lines are and. Which of the following describes their point of intersection? (, ) (, ) (0, ) No Intersection Tickets to a circus cost $.00 for general admission and $.00 with a student I. On opening night, 0 tickets were sold for a total of $,0. How man general admission tickets were sold? TEKSING TOWR STR 0 Page

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