2 x = You try: 1a) Simplify: 6x 5+ 8x 5. 1 a) Simplify: 5x 4+ 3x+ You try: 2a) Solve: x 6= 2 a) Solve: 4+ x = 10. b) Solve: 3 12.

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1 1 a) Simplif: a) Simplif: b) Simplif: 6 ( + 5) ( 6+ 5) 1b) Simplif: 5 ( ) 65 ( ) A.SSE. a) Solve: + 10 a) Solve: 6 10 b) Solve: 1 b) Solve: 5 A.REI. Page 1 of 19 MCC@WCCUSD (AUSD) 10/1/1

2 a) Solve: 5 + a) Solve: b) Solve: ( 5) b) Solve: + A.REI. Page of 19 MCC@WCCUSD (AUSD) 10/1/1

3 a) Solve: ( ) ` a) Solve: 7+ 1 b) Solve: b) Solve: ( ) 5 17 A.REI. Page of 19 MCC@WCCUSD (AUSD) 10/1/1

4 5 a) Solve: ` 5a) Solve: + 0 b) Solve: ( + 7) ( ) b) Solve: 6n+ 5 7n 10 5n+ c) Solve: c) Solve: 6 ( + 9) A.REI. Page of 19 MCC@WCCUSD (AUSD) 10/1/1

5 6 Determine how man solutions there are to the following equations. a) ( ) 6 ( ) ( ) ( ) Since the equation results in an equivalent equation that is alwas true, there are infinitel man solutions (all real numbers). 6` Determine how man solutions there are to the following equations. 6a) ( 5) ( ) b) Since the equation results in an equivalent equation where 0, there is onl one solution ( 0. ) 6b) m+ ( 10 m) c) + + Since the equation results in an equivalent equation that is never true, there are no solutions. A.REI. Page 5 of 19 MCC@WCCUSD (AUSD) 10/1/1

6 7 Consider the equation a b c a) Solve the equation for. a b c a b + b c + b a c + b a c + b a a c+ b a b) Solve the equation for b. a b c a b a c a b c a b c a 1 1 b c + a 7 Consider the equation + b n c 7a) Solve the equation for. 7b) Solve the equation for. A.CED. A rectangle s length, l, is more than its width, w. a) Write an equation that relates the length and width of the rectangle. l w+ A rectangle s width, w, is 7 less than twice its length, l. a) Write an equation that represents the perimeter in terms of its length. b) Write an equation that represents the perimeter in terms of its width. perimeter l + w + l + w ( ) ( ) w+ + w+ w+ + w w + c) Write an equation that represents the area in terms of its length. l w+ l w+ l w b) Write an equation that represents the perimeter in terms of its width. area lw ( ) l l l l A.REI. Page 6 of 19 MCC@WCCUSD (AUSD) 10/1/1

7 9 Solve and graph: 5> 7+ 5 > > > + 5 > + > > Graph : 5> > > 5+ 5> + 5 > < < 9 Solve and graph: 9a) b) 10 > 5( ) < A.REI. 10 Solve ( 5) () 10 and list 5 possible solutions. ( 5) () ) Solve (+ ) 7 and list 5 possible solutions 5 possible solutions 1,,0,,57,... A.REI. Page 7 of 19 MCC@WCCUSD (AUSD) 10/1/1

8 11 Solve: 5 The distance between 5 and 0 is. 11` 11) Solve ,9 A.CED.1 1 Solve 5 7 and graph the solutions 5 7 and 1` 1a) Solve < + 7< and graph the solutions b) Solve + 15 or ( ) 9 and graph the solutions. 1 6 A.CED.1 Page of 19 MCC@WCCUSD (AUSD) 10/1/1

9 1 a) Solve: < 10 The distance between and 0 is less than a) Solve < and and b) Solve and graph: > 7 The distance between and 0 is greater than b) Solve and graph: + 5. or < or > 5 Graph of solutions: A.CED.1 Page 9 of 19 MCC@WCCUSD (AUSD) 10/1/1

10 1 You have $60 to spend at a count fair. You spend $0 for admission. You want to go on the ferris wheel which costs $. a) Write an inequalit that describes the possible numbers of times ou can go on the ferris wheel. 0 + f 60 1` A blank CD can hold 70 minutes of music. So far ou have burned 5 minutes of music onto the CD. You estimate that each song lasts minutes. 1a) Write an inequalit that describes the possible numbers of additional songs ou can burn onto the CD. b) What is the most amount of times ou can go on the ferris wheel? 0 + f f f 0 f 0 1 f 1 1b) What is the most amount of complete songs ou can add to the CD? The most amount of times that ou can ride the ferris wheel is 1 times. A.CED.1 Page 10 of 19 MCC@WCCUSD (AUSD) 10/1/1

11 15 Write the equation of the line that has a slope of 1 and passes through the point (, ) in point slope form and slope-intercept form. The formula for point slope form is: m ( ) Write the equation of the line that has a slope of and passes through the point (,1 ) in point slope form and slopeintercept form. When we substitute 1 for m, for, and for, we get: 1 ( ) ( )( ( )) + 1( ) When we solve for to put this equation into slope-intercept form, which is m + b, we get: + 1 ( ) A.CED. Page 11 of 19 MCC@WCCUSD (AUSD) 10/1/1

12 16 Find the slope, -intercept, and -intercept of the following equation. 16 Find the slope, -intercept, and - intercept of the following equation. 6 To find the - intercept, let 0. 6 ( 0) the -intercept is,0 located at ( ) To find the - intercept, let 0. 6 ( 0) the -intercept is 0, located at ( ) To find the slope, put the given equation into slope-intercept form The slope of this equation is. F.IF.7 End of Stud Guide Page 1 of 19 MCC@WCCUSD (AUSD) 10/1/1

13 You Tr Solutions: 1 1a) Simplif: a) Solve: i 1 1b) Simplif: 5 ( ) 65 ( ) 1 b) Solve: + - a) Solve: 6 10 a) Solve: 7+ 1 b) Solve: 5 b) Solve: ( ) 5 17 Page 1 of 19 MCC@WCCUSD (AUSD) 10/1/1

14 5 5a) Solve: Determine how man solutions there are to the following equations. 6a) ( 5) ( ) No solutions 6b) m+ ( 10 m) 5b) Solve: 6n+ 5 7n 10 5n+ One solution 5c) Solve: 6 ( + 9) Page 1 of 19 MCC@WCCUSD (AUSD) 10/1/1

15 7 Consider the equation + b n c 7a) Solve the equation for. + b n c + b c ( n ) c c + b cn + b b cn b cn b 1 cn b 1 1 cn + b 7b) Solve the equation for. + b n c + b c ( n ) c c + b cn + b + cn + b cn + b cn + b b cn + b A rectangle s width, w, is 7 less than twice its length, l. a) Write an equation that represents the perimeter as a function of its length. w l 7 perimeter l + w + l + w ( 7) ( 7) l+ l + l+ l l+ l 7+ l+ l7 6l 1 b) Write an equation that represents the perimeter as a function of its width. w l7 w+ 7 l 7+ 7 w+ 7 l w+ 7 l w + 7 l Page 15 of 19 MCC@WCCUSD (AUSD) 10/1/1

16 9 Solve and graph: 9a) ) Solve. (+ ) 7 ( + ) b) 10 > 5( ) ( ) 10 > > > + 10 > + 1 > 1ii7 i > 11 5 possible solutions, 5, 6, 10, 9 11) Solve 7 11 The distance between 7 and 0 is > , Page 16 of 19 MCC@WCCUSD (AUSD) 10/1/1

17 1 Solve and graph the solutions 1a) < + 7< 7< + 7 7< 7 15 < < b) + 15 or ( ) 9 ( ) a) Solve < 7. < 7 + < 7+ < 10 < 5 and < < 5 1b) Solve or 7or >7 + > 7+ > > Graph of solutions: -7-0 Page 17 of 19 MCC@WCCUSD (AUSD) 10/1/1

18 1 A blank CD can hold 70 minutes of music. So far ou have burned 5 minutes of music onto the CD. You estimate that each song lasts minutes. 1a) Write an inequalit that describes the possible numbers of additional songs ou can burn onto the CD. 5 + s 70 1b) What is the most amount of complete songs ou can add to the CD? 15 Write the equation of the line that has a slope of and passes through the point (,1 ) in point slope form and slopeintercept form. The formula for point slope form is: m ( ) 1 1 When we substitute for m, for, and 1 for, we get: 1 ( ) ( )( ( )) 1 ( + ) 5 + s s s 5 s 5 1 s 11 When we solve for to put this equation into slope-intercept form, which is m + b, we get: 1 + ( ) The most amount of complete songs ou can add to the CD is 11 songs. Page 1 of 19 MCC@WCCUSD (AUSD) 10/1/1

19 Page 19 of 19 (AUSD) 10/1/1 16 Find the slope, -intercept, and - intercept of the following equation. To find the - intercept, let 0. ( ) 0 the -intercept is located at ( ),0 To find the - intercept, let 0. ( ) 0 the -intercept is located at ( ), 0 To find the slope, put the given equation into slope-intercept form. 1 + The slope of this equation is 1.