Math 7 NOTES (1.6)
Name __________________________________
How would you go about solving the following expression?
60 ÷ (12+3)  32 + 4
There is a specific order that you must follow!
Step 1: Simplify the expressions inside parentheses or other
Grouping Symbols.
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Step 2: Find the values of all powers (Exponents).
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Step 3: Multiply and/or Divide in order from left to right.
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Step 4: Add and/or Subtract in order from left to right.
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How can you remember the sequence?
Grouping Symbols
Exponents
Multiplication
Division
Addition
Subtraction
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“Girls, Excuse My Dear Aunt Sally”
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Math 6/7 Practice (5.2)
Name:_______________________________
Evaluate. Show all your work!
1. 10 ÷ 2 – 8
2. 4(-9) + 36 ÷ 3
3.
4. 2 · (−2)²
5. 82 – 4 · 5
6. 25 + 2(-8) ÷ 4
7. -5(8 – 14)
8. 3 · 2² (-1)
9.
10. −|−8|
11. |-14 − 6|
12. −|4 - 11|
13. −|4(-11)|
14. (5 + 6)2 − (25 – 4)
15.
-32 + (-3)2
Use the Distributive Property to rewrite each expression.
16. 5(c + 7)
17. –2(d + 5)
18. (q + 8)4
19. (j + 5)(–6)
Use the distributive property to complete each statement.
20. 8(b + c) = 8b + _____
21. 4(p + 8) = _____ + 32
Use the Distributive Property to simplify each expression.
22.
3(a + 7)
23. –5(z + 5)
24. (f – 3)(–2)
Math 6/7 - HOMEWORK (5.2)
Name __________________________________
Directions: Solve each problem using GEMDAS. Show all work with one step per line!!
1.
5 – 2(6)
2.
4.
· 6 – 3.4
5.
7.
7.9 + (8 – 7 + 2)³
8.
10.
11.
9(–4 – 7)
+4·5–7
3.
–3 – (15)(–4)
6.
(5² + 15) + (–13)
9.
4[(–3)² + 1]
(7 + 4) · [18 – 6(–3)]
Use the Distributive Property to rewrite each expression.
12. 6(z + 4)
13. –7(c + 2)
14. (d + 5)9
15. (h + 8)(–3)
16. 5(y – 2)
17. 3(6 – n)
18. –4(s – 4)
19. –9(2 – p)
Use the distributive property to complete each statement.
20. 9(a + b) = 9a + _____
21. 3(n + 7) = _____ + 21
22. 2(15 + q) = _____ + 2q
23. a(b + 8) = ab + _____
24. x(x + 5) = _____ + 5x
25. e(s + t) = es + _____
26. 7(p + q + 4) = 7p + ____ + ____
27. 3m + 3n = 3(___ + n)
28. 8a + 8b = _____(a + b)
29. a(a - 3) = _____ - 3a
Use the Distributive Property to simplify each expression.
30.
2(c + 6)
31. –4(w + 6)
32. (b – 4)(–3)
33.
5(4x + 13)
34.
35. (y – 8)(–4)
–6(x – 2)
36) Identify the first step in evaluating the
37) Identify the first step in evaluating the
problem below:
problem below:
8 · (7 + 4) – 7²
18 ÷ 6 · 14(10 – 6) – 55
38) Solve the same problem and identify the error(s) in the student’s work:
Name:
Johnny
24 ÷ 8 – 5²
24 ÷ 3²
8² = 64
Explain what he did wrong:
My Solution: