MATD 0370 ELEMENTARY ALGEBRA Review for Test 4

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1 MATD 070 ELEMENTARY ALGEBRA Review for Test Test covers all cumulative material, including new sections , 6.6, 6.7, and Bring a non-graphing calculator and something to write with and erase with. Be prepared to show our work on all test problems in order to receive full or partial credit.. Simplif. + 0 a a a a + 8. For what value(s) of is the rational epression undefined? + 6. Solve the sstem of equations b graphing. You must use this metho Solve the sstem of equations b the substitution metho You must use this metho Solve the sstem of equations b the elimination metho You must use this metho Simplif, and epress without negative eponents. 0 ( ) 0 7. Multipl and simplif. ( ) a b + + i ab a + a a+ i 7b Page of

2 8. Divide and simplif Add or subtract, as indicated, and simplif our answer Solve Mrs. Munoz wants to create 0 oz of ascorbic acid (vitamin C) solution of strength 9%. She has on hand some ascorbic acid solution of strengths 8% and %. How much of each should she use?. April goes to the grocer store to create some pilaf, which is a miture of from lentils and rice. Lentils cost $.8 per pound and rice costs $0.7 per poun How man pounds of each should she mi to end up with 6 pounds of pilaf that is worth $.9 per pound?. There were 00 tickets sold for a volleball game. Tickets for students were $ each and for adults were $ each. The total amount collected was $0. How man of each tpe of ticket were sold?. The sum of two numbers is 6, and the difference between them is. Find the two numbers.. A surve result indicated that out of ever people eat breakfast. If 7 of the people surveed indicated that the eat breakfast, how man people were surveed? 6. If a si foot tall man casts a shadow of length 8 feet at dusk, then what length shadow does a 9 foot tall sign cast, also at dusk? 7. For the line given b the equation 6 Find the - and -intercepts Find the slope of the line 8. Find an equation of the line with slope, passing through the point (, ). Page of

3 9. Due to inflation, prices have increased % since 99. A backpack costs $6 now. What would the cost of this backpack have been in 99? 0. Factor completel. If the polnomial cannot be factored, state that it is prime.. Solve. 9b ( ). Solve for z : z ( + ) 0. Set up an equation and solve it to find the value of in the right triangle below. +. The triangles below are similar. Find the length of the sides marked and If a car can travel 7 miles on 6 gallons of gasoline, how much gasoline will it need to travel 60 miles? 6. Two angles are called complementar if their sum is 90 degrees. The difference between two complementar angles is degrees. Find the measure of each angle. 7. Sales ta in Austin is 8.%. The price including ta of a new television is $.6. What is the pre-ta price? Round our answer to the nearest cent. 8. To determine the number of foes in an area, foes are caught, tagged, and release Later 6 foes are caught, and of these have tags. Estimate the area's fo population. 9. A sample of 0 light bulbs contained 7 defective bulbs. How man defective bulbs would ou epect in a batch of 700 light bulbs? Page of

4 Answers. a + ( a ) Inconsistent (no solution) or Solution: (,0) Solution: (, ). (, ) Inconsistent (no solution parallel lines). Dependent (infinite number of solutions ever point on the line is a solution) (,) a 6 7b ( + ) ( )( ) a 9b 8. ( + ) ( + ) Page of

5 9. 0. ( ) + or ( + )( ) 0 or or. Equations: + 0 or 7 ( ) Answer:. oz of 8% solution 7. oz of % solution. Equations: + r 6. pounds of lentils.6 pounds of rice ( ) r Equations: s + a 00 s + a 0 70 student tickets and 0 adult tickets. Let & be the two numbers. + 6 Equations: The two numbers are 7 & feet int ( 6,0 ) -int ( 0, ) slope 9. $0.00 CAUTION: $9.0 ma seem close, but it is incorrect! 0... ( b+ 8)( b 8) ( + )( ) ( + )( )( + ) prime (SUM of squares) or or z. Equation: Solution: ( ) [ not possible]. 8. and.. 60 gallons 6. Let & be the measures of the two angles in degrees Equations: The angles measure 7 and $89.99 CAUTION: $87. ma seem close, but it is incorrect! 8. foes 9. 6 light bulbs. people were survee Page of

STA Summer Review for Students Entering Algebra 3

Alg Summer Review STA Summer Review for Students Entering Algebra This packet will be collected and graded the first week of school. There will also be a test over this material the first week of school.