incoming algebra summer supplement

13
A V Multiply. Fraction Multiplication May Cross-Reduce Name: Date: Copyright ©2012 WorksheetWorks.com ( 1 ) 4 5 Ç 1 2 Ö ( 2 ) 1 3 Ç 6 7 Ö ( 3 ) 1 2 Ç 11 14 Ö ( 4 ) 1 5 Ç 3 4 Ö ( 5 ) 5 8 Ç 1 2 Ö ( 6 ) 1 4 Ç 3 4 Ö ( 7 ) 3 4 Ç 1 2 Ö ( 8 ) 5 7 Ç 2 5 Ö ( 9 ) 4 5 Ç 5 6 Ö (10) 1 2 Ç 5 14 Ö (11) 1 10 Ç 1 2 Ö (12) 2 3 Ç 9 10 Ö (13) 3 5 Ç 1 8 Ö (14) 1 2 Ç 1 8 Ö (15) 1 2 Ç 7 9 Ö (16) 1 4 Ç 1 3 Ö (17) 5 12 Ç 2 3 Ö (18) 8 9 Ç 1 2 Ö (19) 1 2 Ç 5 7 Ö (20) 1 2 Ç 2 3 Ö (21) 5 12 Ç 1 2 Ö (22) 1 4 Ç 9 10 Ö (23) 3 4 Ç 5 6 Ö (24) 1 2 Ç 1 5 Ö (25) 11 14 Ç 1 2 Ö (26) 3 4 Ç 3 8 Ö (27) 1 2 Ç 13 14 Ö (28) 1 2 Ç 1 9 Ö (29) 2 11 Ç 1 2 Ö (30) 7 10 Ç 1 2 Ö (31) 2 3 Ç 9 13 Ö (32) 5 6 Ç 1 2 Ö (33) 12 13 Ç 1 3 Ö (34) 1 4 Ç 1 6 Ö (35) 1 2 Ç 5 6 Ö (36) 1 2 Ç 1 7 Ö (37) 1 6 Ç 2 3 Ö (38) 7 15 Ç 1 2 Ö (39) 2 9 Ç 1 2 Ö (40) 7 9 Ç 3 4 Ö (41) 10 11 Ç 2 3 Ö (42) 2 5 Ç 1 4 Ö (43) 9 13 Ç 2 3 Ö (44) 3 4 Ç 3 5 Ö

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Page 1: Incoming Algebra Summer Supplement

AV Multiply.

Fraction MultiplicationMay Cross-Reduce

Name: Date:

Copyright ©2012 WorksheetWorks.com

( 1 ) 45 Ç

12 Ö ( 2 ) 1

3 Ç67 Ö ( 3 ) 1

2 Ç1114 Ö ( 4 ) 1

5 Ç34 Ö

( 5 ) 58 Ç

12 Ö ( 6 ) 1

4 Ç34 Ö ( 7 ) 3

4 Ç12 Ö ( 8 ) 5

7 Ç25 Ö

( 9 ) 45 Ç

56 Ö (10) 1

2 Ç514 Ö (11) 1

10 Ç12 Ö (12) 2

3 Ç910 Ö

(13) 35 Ç

18 Ö (14) 1

2 Ç18 Ö (15) 1

2 Ç79 Ö (16) 1

4 Ç13 Ö

(17) 512 Ç

23 Ö (18) 8

9 Ç12 Ö (19) 1

2 Ç57 Ö (20) 1

2 Ç23 Ö

(21) 512 Ç

12 Ö (22) 1

4 Ç910 Ö (23) 3

4 Ç56 Ö (24) 1

2 Ç15 Ö

(25) 1114 Ç

12 Ö (26) 3

4 Ç38 Ö (27) 1

2 Ç1314 Ö (28) 1

2 Ç19 Ö

(29) 211 Ç

12 Ö (30) 7

10 Ç12 Ö (31) 2

3 Ç913 Ö (32) 5

6 Ç12 Ö

(33) 1213 Ç

13 Ö (34) 1

4 Ç16 Ö (35) 1

2 Ç56 Ö (36) 1

2 Ç17 Ö

(37) 16 Ç

23 Ö (38) 7

15 Ç12 Ö (39) 2

9 Ç12 Ö (40) 7

9 Ç34 Ö

(41) 1011 Ç

23 Ö (42) 2

5 Ç14 Ö (43) 9

13 Ç23 Ö (44) 3

4 Ç35 Ö

Page 2: Incoming Algebra Summer Supplement

AV Multiply.

Fraction MultiplicationMultiplication With Wholes - May Cross-Reduce

Name: Date:

Copyright ©2012 WorksheetWorks.com

( 1 ) 5Ç 12 Ö ( 2 ) 4Ç 1

5 Ö

( 3 ) 35 Ç7Ö ( 4 ) 2Ç 1

2 Ö

( 5 ) 8Ç 34 Ö ( 6 ) 3Ç 1

3 Ö

( 7 ) 7Ç 713 Ö ( 8 ) 1

2 Ç8Ö

( 9 ) 45 Ç8Ö (10) 8Ç 1

6 Ö

(11) 6Ç 13 Ö (12) 8Ç 1

2 Ö

(13) 7Ç 38 Ö (14) 1

4 Ç6Ö

(15) 6Ç 12 Ö (16) 5Ç 3

4 Ö

(17) 29 Ç4Ö (18) 8Ç 6

13 Ö

(19) 12 Ç5Ö (20) 7

8 Ç2Ö

Page 3: Incoming Algebra Summer Supplement

V Simplify the addition expressions.

Addition with NegativesName: Date:

Copyright ©2014 WorksheetWorks.com

( 1 ) (T4)Ñ5Ö ( 2 ) (T16)Ñ(T6)Ö ( 3 ) (T7)Ñ14Ö

( 4 ) (T3)Ñ9Ö ( 5 ) (T4)Ñ8Ö ( 6 ) 15Ñ(T9)Ö

( 7 ) (T6)Ñ(T9)Ö ( 8 ) 12Ñ3Ö ( 9 ) 14Ñ(T9)Ö

(10) 3Ñ12Ö (11) (T11)Ñ3Ö (12) (T11)Ñ(T17)Ö

(13) (T10)Ñ(T5)Ö (14) 17Ñ(T11)Ö (15) (T6)Ñ(T14)Ö

(16) (T10)Ñ9Ö (17) 4Ñ7Ö (18) (T7)Ñ(T4)Ö

(19) 5Ñ3Ö (20) 18Ñ(T16)Ö (21) 6Ñ(T3)Ö

(22) (T14)Ñ1Ö (23) 18Ñ4Ö (24) (T6)Ñ(T4)Ö

(25) 8Ñ(T1)Ö (26) 12Ñ(T7)Ö (27) 11Ñ(T8)Ö

(28) (T1)Ñ2Ö (29) 10Ñ6Ö (30) (T1)Ñ(T2)Ö

(31) 7Ñ(T12)Ö (32) 1Ñ(T3)Ö (33) 6Ñ(T5)Ö

(34) (T18)Ñ(T16)Ö (35) (T1)Ñ(T17)Ö (36) 5Ñ(T7)Ö

(37) 7Ñ(T18)Ö (38) (T1)Ñ2Ö (39) 4Ñ(T11)Ö

(40) (T1)Ñ(T2)Ö (41) 5Ñ6Ö (42) 1Ñ7Ö

(43) 8Ñ(T7)Ö (44) 10Ñ(T11)Ö (45) (T16)Ñ(T13)Ö

Page 4: Incoming Algebra Summer Supplement

V Simplify the addition expressions.

Addition with NegativesName: Date:

Copyright ©2014 WorksheetWorks.com

( 1 ) (T3)Ñ(T12)Ö ( 2 ) 1Ñ2Ö ( 3 ) 1Ñ2Ö

( 4 ) (T6)Ñ1Ö ( 5 ) (T1)Ñ14Ö ( 6 ) 5Ñ1Ö

( 7 ) (T17)Ñ11Ö ( 8 ) 3Ñ6Ö ( 9 ) (T15)Ñ13Ö

(10) (T3)Ñ(T2)Ö (11) 4Ñ3Ö (12) 8Ñ(T5)Ö

(13) 11Ñ5Ö (14) (T2)Ñ(T5)Ö (15) 3Ñ2Ö

(16) 7Ñ11Ö (17) 6Ñ11Ö (18) (T10)Ñ8Ö

(19) (T11)Ñ7Ö (20) (T3)Ñ2Ö (21) (T5)Ñ(T11)Ö

(22) (T3)Ñ6Ö (23) (T8)Ñ9Ö (24) 5Ñ(T4)Ö

(25) (T2)Ñ(T12)Ö (26) (T2)Ñ1Ö (27) 16Ñ(T13)Ö

(28) (T14)Ñ(T13)Ö (29) 10Ñ13Ö (30) 1Ñ(T3)Ö

(31) 9Ñ4Ö (32) 5Ñ(T16)Ö (33) 8Ñ6Ö

(34) 3Ñ4Ö (35) (T1)Ñ(T6)Ö (36) (T3)Ñ1Ö

(37) 1Ñ(T2)Ö (38) (T17)Ñ(T4)Ö (39) 2Ñ(T7)Ö

(40) (T6)Ñ(T4)Ö (41) (T1)Ñ3Ö (42) (T15)Ñ2Ö

(43) 2Ñ(T7)Ö (44) (T1)Ñ(T5)Ö (45) 13Ñ5Ö

Page 5: Incoming Algebra Summer Supplement

V Simplify the subtraction expressions.

Subtraction with NegativesName: Date:

Copyright ©2014 WorksheetWorks.com

( 1 ) 11É10Ö ( 2 ) (T18)É(T8)Ö ( 3 ) (T7)É4Ö

( 4 ) (T18)É(T14)Ö ( 5 ) 9É4Ö ( 6 ) 15É(T11)Ö

( 7 ) 12É2Ö ( 8 ) 17É5Ö ( 9 ) (T15)É(T7)Ö

(10) 9É1Ö (11) (T3)É(T2)Ö (12) (T11)É(T5)Ö

(13) 17É(T9)Ö (14) 2É(T1)Ö (15) 14É(T7)Ö

(16) 4É3Ö (17) (T14)É(T7)Ö (18) (T14)É(T7)Ö

(19) (T12)É(T11)Ö (20) (T4)É2Ö (21) (T17)É3Ö

(22) 13É(T2)Ö (23) 18É14Ö (24) 17É(T10)Ö

(25) (T7)É(T6)Ö (26) 10É(T2)Ö (27) (T14)É3Ö

(28) 8É2Ö (29) (T15)É(T7)Ö (30) (T11)É2Ö

(31) (T9)É3Ö (32) (T14)É(T1)Ö (33) 15É(T1)Ö

(34) (T13)É(T8)Ö (35) 10É(T1)Ö (36) (T16)É(T7)Ö

(37) 14É4Ö (38) 9É7Ö (39) (T12)É6Ö

(40) 11É9Ö (41) (T8)É7Ö (42) (T7)É(T6)Ö

(43) 3É2Ö (44) (T8)É(T2)Ö (45) 4É(T2)Ö

Page 6: Incoming Algebra Summer Supplement

V Simplify the subtraction expressions.

Subtraction with NegativesName: Date:

Copyright ©2014 WorksheetWorks.com

( 1 ) (T13)É(T12)Ö ( 2 ) (T7)É1Ö ( 3 ) (T13)É(T8)Ö

( 4 ) (T5)É1Ö ( 5 ) (T14)É9Ö ( 6 ) (T5)É3Ö

( 7 ) (T7)É(T3)Ö ( 8 ) (T2)É1Ö ( 9 ) (T2)É(T1)Ö

(10) 12É2Ö (11) 18É(T16)Ö (12) (T11)É(T1)Ö

(13) 18É12Ö (14) 17É8Ö (15) 3É1Ö

(16) 2É1Ö (17) (T15)É(T10)Ö (18) 7É(T6)Ö

(19) (T18)É(T9)Ö (20) (T18)É12Ö (21) 14É6Ö

(22) (T7)É3Ö (23) 10É8Ö (24) (T2)É1Ö

(25) (T7)É1Ö (26) (T11)É7Ö (27) (T8)É1Ö

(28) (T11)É1Ö (29) 11É(T3)Ö (30) 17É(T7)Ö

(31) 2É1Ö (32) 18É1Ö (33) (T11)É6Ö

(34) (T9)É5Ö (35) (T8)É(T6)Ö (36) (T7)É4Ö

(37) (T17)É(T9)Ö (38) (T7)É2Ö (39) 9É2Ö

(40) 18É(T2)Ö (41) 4É(T3)Ö (42) (T4)É(T1)Ö

(43) 17É(T3)Ö (44) (T6)É1Ö (45) 16É10Ö

Page 7: Incoming Algebra Summer Supplement

AMultiples

Name: Date:

Copyright ©2012 WorksheetWorks.com

Circle the numbers which are multiples of 2.

10 6 11 7 14 4 12 5 8 13

Circle the numbers which are multiples of 3.

10 9 6 19 15 18 16 21 13 12

Circle the numbers which are multiples of 4.

20 16 28 17 8 26 21 11 12 24

Circle the numbers which are multiples of 5.

21 27 10 16 15 25 11 31 20 30

Circle the numbers which are multiples of 7.

28 44 14 21 35 42 49 56 16 63

Circle the numbers which are multiples of 8.

56 28 24 35 19 53 40 16 48 32

Page 8: Incoming Algebra Summer Supplement

AV Divide.

Fraction DivisionMay Cross-Reduce

Name: Date:

Copyright ©2012 WorksheetWorks.com

( 1 ) 14 Å

57 Ö ( 2 ) 4

7 Å23 Ö

( 3 ) 12 Å

19 Ö ( 4 ) 3

4 Å29 Ö

( 5 ) 713 Å

23 Ö ( 6 ) 1

2 Å34 Ö

( 7 ) 13 Å

113 Ö ( 8 ) 1

2 Å213 Ö

( 9 ) 12 Å

58 Ö (10) 1

12 Å13 Ö

(11) 112 Å

12 Ö (12) 4

5 Å12 Ö

(13) 12 Å

56 Ö (14) 4

5 Å37 Ö

(15) 38 Å

12 Ö (16) 2

9 Å13 Ö

(17) 15 Å

34 Ö (18) 4

7 Å45 Ö

(19) 23 Å

14 Ö (20) 2

11 Å12 Ö

Page 9: Incoming Algebra Summer Supplement

AV Divide.

Fraction DivisionDividing Fractions by Wholes and Wholes by Fractions

Name: Date:

Copyright ©2012 WorksheetWorks.com

( 1 ) 35 Å8Ö

( 2 ) 3Å 16 Ö

( 3 ) 2Å 34 Ö

( 4 ) 23 Å2Ö

( 5 ) 12 Å2Ö

( 6 ) 6Å 34 Ö

( 7 ) 6Å 1213 Ö

( 8 ) 3Å 12 Ö

( 9 ) 5Å 27 Ö

(10) 1013 Å7Ö

Page 10: Incoming Algebra Summer Supplement

AV Simplify the multiplication expressions.

Multiplication with NegativesName: Date:

Copyright ©2012 WorksheetWorks.com

( 1 ) 3Ç(T7)Ö ( 2 ) (T3)Ç8Ö ( 3 ) (T8)Ç9Ö

( 4 ) (T3)Ç(T8)Ö ( 5 ) (T8)Ç2Ö ( 6 ) 8Ç3Ö

( 7 ) (T5)Ç3Ö ( 8 ) (T9)Ç4Ö ( 9 ) (T3)Ç(T2)Ö

(10) (T8)Ç2Ö (11) (T6)Ç5Ö (12) 5Ç(T3)Ö

(13) (T5)Ç(T5)Ö (14) 7Ç4Ö (15) 9Ç4Ö

(16) (T3)Ç(T8)Ö (17) (T3)Ç(T6)Ö (18) 3Ç3Ö

(19) (T8)Ç2Ö (20) 4Ç(T5)Ö (21) (T6)Ç(T5)Ö

(22) 7Ç(T2)Ö (23) 2Ç(T7)Ö (24) (T2)Ç(T5)Ö

(25) 2Ç5Ö (26) 8Ç(T2)Ö (27) 7Ç4Ö

(28) 7Ç3Ö (29) 3Ç8Ö (30) 8Ç(T8)Ö

(31) 4Ç7Ö (32) 4Ç6Ö (33) 2Ç9Ö

(34) 6Ç3Ö (35) 9Ç(T4)Ö (36) (T6)Ç3Ö

(37) (T4)Ç4Ö (38) 5Ç(T3)Ö (39) (T9)Ç(T7)Ö

Page 11: Incoming Algebra Summer Supplement

AV Simplify the division expressions.

Division with NegativesName: Date:

Copyright ©2012 WorksheetWorks.com

( 1 ) (T20)Å(T5)Ö ( 2 ) (T8)Å4Ö ( 3 ) (T12)Å3Ö

( 4 ) (T20)Å(T5)Ö ( 5 ) (T12)Å3Ö ( 6 ) 4Å(T2)Ö

( 7 ) (T10)Å2Ö ( 8 ) (T6)Å(T3)Ö ( 9 ) (T8)Å2Ö

(10) (T12)Å4Ö (11) 6Å(T3)Ö (12) 10Å2Ö

(13) 12Å(T3)Ö (14) 10Å2Ö (15) 9Å(T3)Ö

(16) (T6)Å2Ö (17) 12Å(T4)Ö (18) (T20)Å(T4)Ö

(19) (T8)Å4Ö (20) (T10)Å(T5)Ö (21) 15Å(T5)Ö

(22) (T16)Å(T4)Ö (23) (T16)Å(T4)Ö (24) 6Å(T3)Ö

(25) 8Å(T2)Ö (26) (T6)Å(T3)Ö (27) (T10)Å(T2)Ö

(28) 15Å3Ö (29) (T15)Å3Ö (30) 20Å4Ö

(31) (T4)Å2Ö (32) (T25)Å5Ö (33) (T10)Å5Ö

(34) (T16)Å4Ö (35) 20Å5Ö (36) (T25)Å(T5)Ö

(37) (T6)Å(T3)Ö (38) 20Å5Ö (39) 20Å(T5)Ö

Page 12: Incoming Algebra Summer Supplement

AV Simplify the multiplication expressions.

Multiplication with NegativesName: Date:

Copyright ©2012 WorksheetWorks.com

( 1 ) 6Ç2Ö ( 2 ) (T5)Ç3Ö ( 3 ) (T7)Ç(T8)Ö

( 4 ) 9Ç(T5)Ö ( 5 ) 6Ç(T8)Ö ( 6 ) (T3)Ç9Ö

( 7 ) 2Ç8Ö ( 8 ) 8Ç3Ö ( 9 ) 5Ç(T4)Ö

(10) (T6)Ç6Ö (11) 3Ç(T9)Ö (12) 8Ç(T2)Ö

(13) (T7)Ç(T2)Ö (14) 5Ç(T7)Ö (15) 6Ç8Ö

(16) 4Ç2Ö (17) (T8)Ç(T2)Ö (18) (T6)Ç(T4)Ö

(19) (T8)Ç9Ö (20) (T6)Ç3Ö (21) (T7)Ç2Ö

(22) (T6)Ç2Ö (23) 3Ç8Ö (24) 4Ç(T7)Ö

(25) 5Ç(T6)Ö (26) (T8)Ç(T3)Ö (27) (T2)Ç4Ö

(28) (T2)Ç6Ö (29) 6Ç(T5)Ö (30) (T5)Ç6Ö

(31) 7Ç9Ö (32) 9Ç4Ö (33) 6Ç(T5)Ö

(34) (T3)Ç(T5)Ö (35) 2Ç4Ö (36) 6Ç2Ö

(37) 2Ç8Ö (38) (T5)Ç9Ö (39) 6Ç(T5)Ö

Page 13: Incoming Algebra Summer Supplement

AV Simplify the division expressions.

Division with NegativesName: Date:

Copyright ©2012 WorksheetWorks.com

( 1 ) (T8)Å2Ö ( 2 ) 27Å3Ö ( 3 ) (T63)Å(T7)Ö

( 4 ) 45Å(T5)Ö ( 5 ) (T32)Å8Ö ( 6 ) (T56)Å8Ö

( 7 ) (T24)Å(T8)Ö ( 8 ) 20Å5Ö ( 9 ) 72Å9Ö

(10) (T32)Å8Ö (11) 36Å6Ö (12) (T14)Å(T2)Ö

(13) 35Å5Ö (14) 20Å(T5)Ö (15) 18Å(T6)Ö

(16) 64Å(T8)Ö (17) 24Å(T6)Ö (18) 10Å2Ö

(19) (T42)Å(T6)Ö (20) 25Å(T5)Ö (21) (T8)Å(T2)Ö

(22) 12Å2Ö (23) (T72)Å(T9)Ö (24) (T45)Å(T5)Ö

(25) (T63)Å(T9)Ö (26) 24Å6Ö (27) 14Å(T2)Ö

(28) 21Å7Ö (29) (T4)Å2Ö (30) (T24)Å3Ö

(31) (T20)Å(T5)Ö (32) 18Å(T3)Ö (33) 8Å(T4)Ö

(34) (T20)Å4Ö (35) 15Å5Ö (36) (T6)Å(T3)Ö

(37) 56Å(T8)Ö (38) (T27)Å(T3)Ö (39) (T56)Å8Ö