Math 115 Spring Break Homework Package Name. . List all

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1 Math Spring Break Homework Package Name Show all work neatl and sstematicall for full credit. Total points: 00 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. ) A rectangular carpet has a perimeter of 90 inches. The length of the carpet is 9 inches more than the width. What are the dimensions of the carpet? inches b 7 inches. inches b 9 inches inches b inches inches b 9 inches ) In a basketball game, Will scored 7 points, consisting onl of three-point shots and two-point shots. He made a total of shots. How man shots of each tpe did he make? Two-point shots: 0; three-point shots: Two-point shots: ; three-point shots: Two-point shots: ; three-point shots: Two-point shots: ; three-point shots: (a) (b), 0, 0, (c), -, 0, (d), -, 0, 0, (f), 7, -, 0, 0, (a), (b), 0, 0, (c), -, 0, 0, (d), -, 0, 0, (f), 7, -, 0, 0, ) Use the set, 7, -, 0, 0 -,, 0 of the elements that are: (a) natural numbers numbers (c) integers numbers (e) irrational numbers (a) (b), (c), -, 0 (d) 0 (f), 7, -, 0, 0 -,, 0 (a), (b), 0, 0, (c), -, 0, 0, (d), -, (f), 7, -, 0, 0 -,, 0 (b) whole (d) rational. List all (f) real numbers ) The sum of three consecutive integers is. Find the integers. 7, 7, 7 7, 7, 7 7, 7, 7 7, 7, 7 ) Two angles are supplementar. One angle is less than three times the other. Find the measures of the angles.,, 7, 0, ) After a % price reduction, a boat sold for $,70. What was the boat's price before the reduction? (Round to the nearest cent, if necessar.) $,77.0 $7.0 $,000 $7,07.9 Solve the sstem of equations b graphing, substitution, or elimination. 7) = = -. (,-) (-0., 0.) (-, ) no solution

2 Solve the problem. ) The owner of NutsU Snack Shack mies cashews worth $.00 a pound with peanuts worth $.0 a pound to get a half-pound mied nut bag worth $.70. How much of each kind of nut is included in the mied bag? Round our answers to two decimals. 0. lb of cashews and 0. lb of peanuts 0.0 lb of cashews and 0.90 lb of peanuts 0. lb of cashews and 0. lb of peanuts 0.07 lb of cashews and 0.9 lb of peanuts Write the equation of the line that satisfies the given conditions. Write the equation in slope-intercept form, if possible. 9) contains (, -) and (, -) = - = - - = - + = - Solve the inequalit and epress the solution in set-builder notation and interval notation. Graph the solution set on a real number line. ) - > ( + ) { }; (-, ] 7 { < }; (-, ) 7 { }; [, ) 7 { > }; (, ) 7 0) contains (, -) with undefined slope = = - = - = ) slope = and -intercept is = + = -- = -- = + ) slope = and contains (-, ) = + = - = + = - ) contains (, ) and perpendicular to + 7 = - = 7 + = = 7 - = ) horizontal line through (, ) = = = = 7) -( - ) - + { > -}; (-, ) { -}; (-, -] { < -}; (-, -) { -}; [-, ) Perform the indicated operation. Write in lowest terms. ) ) contains (0, 7) and parallel to = - - = + 7 = -- 7 = + 7 = )

3 0) ) Equation of a line: + = 0 (a) Solve for. (b) Find when = 9. (a) = (b) = ) 0 - (-9) + + (-) Solve the sstem of equations using substitution. ) - = -7 + = -7 (-, ) (-, ) (-, ) (-, ) ) = - = - (, ) (-, ) (, -) (, ) Provide an appropriate response. ) Find the slope of the line that contains the points (, ) and (9, ). - undefined 0 ) Given the equation 9 - =, determine (a) the slope (b) the -intercept (a) m = 9 (a) m = 9 (a) = - + (b) = - (a) = - + (b) = - (a) = + (b) = 7) Determine whether the lines are parallel, perpendicular, or neither. L: - = - 0 L: = + perpendicular parallel neither ) Volume of a rectangular solid: V = lwh (a) Solve for w. (b) Find w when V = 7. ft, l =. ft, and h =. ft. (a) w = V lh (b) w = 0. ft (b) b = (a) m = - 9 (b) b = 9 (b) b = -9 (a) m = 9 (b) b = (a) w = lh V (b) w = ft (a) w = lh V (b) w = 0. ft (a) w = V lh (b) w = ft 9). is % of a number. Find the number

4 0) Given the linear equation = - +, find (a) the slope of a line perpendicular to the given line. (b) the slope of a line parallel to the given line. 7) (7 - ) = - - (a) (b) - (a) - (a) (b)- (a) - Evaluate the epression. ) - () (-) -7 (b) (b) Solve the equation. Check our solution. ) (7 + ) = - ) - ( + ) = -( + ) {-} {-} all real numbers 9) Evaluate (- ) for = - and = , -7,7 0) - [ - ( - )] + ( - ) 7-9 ) + (-) + ( - ) 0 ) - = 0 - Simplif the algebraic epression. ) 9( + 0) - (7 - ) ) +.9 = -. {-.} {-.} {-.} {-.9} ) ( - ) = ( + ) {} {9} {-9} {} ) - 7 d = Solve the sstem of equations b graphing. ) + = - =

5 (-, -) infinitel man solutions (, ) 0 ) = - + = (-, ) (-, )

6 (, -) 0 ) - = - - = - no solution, -0 0 infinitel man solutions, Graph the linear equation. -0 7) = - - (, ) (-, -) Solve the sstem of equations using elimination. ) - = - + = 0 (,-) infinitel man solutions no solution (-, )

7 ) - + = Solve the sstem of equations b graphing, substitution, or elimination. 9) + = -( - ) + = ( + ) (, ) (0, 0) infinitel man solutions (, ) 0) - = = -, no solution -, -,

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