M7 Properties
Simplify labeling each step with the property/properties or operation used.

M7 Properties Police

page 2

M7 Inverse Operations

 Write the inverse fact for each fact.

 

Fact

Inverse Fact

1

 

32 + 26 = 58

 

2

 

16 X 8 = 128

 

3

 

103 – 41 = 62

 

4

 

182  ÷ 14 = 13

 

5

 

21 (13) = 273

 

6

 

87 + 59 = 146

 

7

 

217 -149 = 68

 

8

 

352  ÷ 16 = 22

 

9

 

305 – 249 = 56

 

10

 

23 ∙ 31 = 713

 

11

 

361 + 288 = 649

 

12

 

792  ÷ 33 = 24

 


M7 Distributive Property
Rewrite then solve using the distributive property.

1) 7 (2 + 4)                                                      2) 4 (7 + 4)

3) 8 (5 – 3)                                                      4) 5 (6 – 3)

5) 12 (4 + 1)                                                    6) 15 (1 + 2)

Rewrite using the distributive property.

7) (8 X 9) + (8 X 1)                                         8) (117 ∙ 4) - (17 ∙ 4)

9) (84 ∙ 9) - (34 ∙ 9)                                         10) (24 X 6) + (6 X 6)

11) (43 X 9) + (17 X 9)                                   12) (73 ∙ 8) + (27 ∙ 8)

M7 Punch It! Card 1

M7 Order of Operations
Solve using order of operations.

1) 7 + (9 ∙ 2)                            10) 3 (9) + 18                          19) (12 X 9) – (8 X 11)

2) (5 ∙ 7) + 4                            11) 64 ÷ 16 + 16                     20) (11 X 7) + (90)
                                                                                                                  6
3) (19 – 3)                               12) 37 + 13 ∙ 2                         21) (135 ÷ 3) – (17 ∙ 2)
        4
4) (12 + 9) 3                            13) 20 + 6 X 8                         22) (148) + (16 X 5)
                                                                                                    4
5) 7 + (15 – 3)                         14) (37 + 13) 4                        23) [48 – (4 ∙ 3)] ÷ 3

6) 18 + (42)                             15) 102 ÷ 3 – 1                        24) 38 – [25 ÷ (43 – 18)]
             6
7) 48 – (5 – 4)                         16) 86 – 40                              25) [18 + (15 – 3)] + 14
                                                       2
8)  12 (11 – 5)                         17) (18 – 5) (23 – 9)

9) 72 (8 – 2)                            18) (32 + 24)
                                                   (30 – 22)
 

M7 Review
Evaluate each expression if a = 8, b = 13, and c = 7

1) bc                            2) 169 ÷ b                    3) 2a + b – 3c              4) (a+b)c

Simplify labeling each step with the property/properties or operation used.

5) 13 + 0 + 57                                     6) 26 + 18 + 4

7) 18 X 0 X 3                                      8) 32 X 1 X 10

9) 20 X 12 X 5

Rewrite each fact using inverse operations.

 

Fact

Inverse Fact

10

937 + 15 = 952

 

 

 

 

11

212 – 8 = 204

 

 

 

 

12

54 ÷ 6 = 9

 

 

 

 

13

9 ∙ 7 = 63

 

Rewrite using the distributive property.

14) (32 ∙ 7) + (8 ∙ 7)                             15) (48 ∙ 3) – (17 ∙ 3)

Solve using the distributive property.

16) 3(5 + 7)                                         17) 2 (5 – 4)

Solve using order of operations.

18) 21 + 21 ÷ 21                                 19) 8(13 + 7)

20) (49 + 6) ÷ 5                                   21) (164 – 4)
                                                               (56 + 24)
22) [32 ÷ (8 – 6)] 3                              23) 19 – [(13 – 7) 3]