Simplify: ◦ Replace a numerical expression with its simplest name Is 3 2 – 5 simplified? ...
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![Page 1: Simplify: ◦ Replace a numerical expression with its simplest name Is 3 2 – 5 simplified? Exponent: ◦ Tells how many times you multiply the base.](https://reader036.fdocuments.in/reader036/viewer/2022070414/5697c0241a28abf838cd47ed/html5/thumbnails/1.jpg)
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Simplify:◦ Replace a numerical expression with its simplest name
Is 32 – 5 simplified? Exponent:
◦ Tells how many times you multiply the base by itself 32
Base:◦ The number being multiplied in a given power
32
Power:◦ The term for the base and exponent, combined
32
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P: Parentheses or grouping symbols◦ ( , [ , {
E: Exponents M: Multiplication
◦ D: Division
◦ , , / A: Addition
◦ + S: Subtraction
◦ -
M & D: Work in order from Left to Right in expression
A & S: Work in order from Left to Right in expression
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a) 25 – 7 5 + 32
= 25 – 7 5 + 9= 25 – 35 + 9= -10 + 9= -1
P E M D A S
X X
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b) 7 – 12 + 4
= -5 + 4= -1
P E M D A S
X X X X
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c) 3 4 6
= 12 6= 2
P E M D A S
X X X X
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a) 2x + 17 – 3 where x=2= 2(2) + 17 – 3• Remember PEMDAS when simplifying= 4 + 17 – 3= 21 – 3= 18
b)d + e – u where d=2, e=1, and u=17 = (2) + (1) – (17)• Again, follow PEMDAS = 3 – 17 = -14
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c) 40 – d2 + cd 3 where c=2 and d = 5= 40 – (5) 2 + (2)(5) 3= 40 – 25 + (2)(5) 3= 40 – 25 + 30= 15 + 30= 45
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A poster states that a pair of shoes are on sale for $59.00. If the sales tax is 6%, what is the total cost of the shoes?
Use the formula c = p + rp C: total cost P: price of the shoes R: sales tax rate C = (59.00) + (0.06)(59.00) C = 59 + 3.54 C = $62.54 The total cost of the shoes, including sales tax,
will be $62.54.
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a) 15(12-6) (3+3)◦ If it helps, make a PEMDAS box= 15(6) (6)*We now work from left to right= 90 (6)= 15
b) (5+4) (7 – 3)◦ If it helps, make a PEMDAS box= (9) (4)= 36
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a) (xy)² where x=3 and y=4 = (3 4)² • Use PEMDAS to simplify = 12² = 144
b)xy2 + 5 where y = 5 and x = 2 = 2(5) 2 + 5* Use PEMDAS to simplify = 2(25) + 5 = 50 + 5 = 55
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c) [2+(x – 1)] – (x)2 8 where x = 3 = [2+(3 – 1)] – (3)2 8 *Use PEMDAS to simplify = [2+(2)] – (3)2 8 = 4 - (3)2 8 = 4 – 9 8 = 4 – 72 = -68
Remember: If it helps you, use a PEMDAS box to simplify!!!
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