PC 12 Review – 1 – Order of Operations: Review What is an operation? What is the Order of Operations? "Operation" means things like But, when you see ... 7 + (6 × 5 2 + 3) ... which part should you calculate first? Evaluate: 1) 3 3 x 2 – 5 4 – 3 x 2 1 47 2) 2 2 – 2 – 4 – 3 x 2 2 –398 3) 3 8 (2 4)(9 5 2) 1 5 4) 2 5 2 4(2 3 2) 4 – 78 5) 2 5 2( ( 4 3) 2) 10 – 75 6) 3 12 (6 4)( 9 5 2) 100 – 94
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PC 12 Review 1mathmissjohnston.weebly.com/uploads/8/9/0/0/89003656/pc12_revi… · x2 +2x + 1 39) (x – 5y)(x + 5y) x2 – 25y2 40) (3x + 10y)(3x – 10y) 9x2 – 100y2 What is a
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PC 12 Review – 1 –
Order of Operations: Review
What is an
operation?
What is the Order
of Operations?
"Operation" means things like
But, when you see ... 7 + (6 × 52 + 3) ... which part should you calculate first?
Evaluate:
1) 3
3 x 2 – 5 4 – 3 x 2 1
47
2) 2
2 – 2 – 4 – 3 x 2 2
–398
3) 38 (2 4)(9 5 2) 1
5
4) 25 2 4(2 3 2) 4
– 78
5) 25 2( ( 4 3) 2) 10
– 75
6) 312 (6 4)( 9 5 2) 100
– 94
PC 12 Review – 2 –
Fractions: Review
What is a
fraction?
What are the
types of
fractions?
How do you
add /subtract
fractions?
In order to add or subtract fractions, you must have a
Evaluate:
5 2
6 4
1 2
2 43 5
Parts of a fraction:
Step 1:
Look to see if you can reduce any fractions and/or make switch mixed fractions into improper fractions
Step 2: Identify the lowest common denominator (LCD) to make the bottoms the same
Step 3: Add/Subtract the numerator together, keeping the denominator the SAME.
Step 4: Simplify the Fraction by reducing if possible.
PC 12 Review – 3 –
Evaluate
7) 2 4
13 5
37
15
8) 2 4
3 5
22
15
9) 2 4
23 5
28
15
10) 1 4
37 3
11) 3 2
8 9
12) 1 4
36 9
How do you
Multiply
fractions?
How do you
Divide
fractions?
Evaluate:
5 2
6 3
Evaluate:
2 2
3 5
Step 1:
Take the reciprocal of the second fraction. (Flip the fraction after the division sign)
Step 2: Change the sign to multiply, and multiply. Don't forget to reduce!
PC 12 Review – 4 –
How do you
simplify a
fraction first?
12 24
30 50
13) 5 3
4 2
15
8
14) 15 25
10 20
15
8
15) 2 36
3 30
16) 25 36
24 30
5
4
17) 9 1
14 2
3
2
18) 2
5 5
4 8
19) 2
9 33
2 2
9
2
20) 3 1 2
14 6 9
21) 2 7 6
5 2 4
4
5
22) 10 8
36 12
17
9
23) 2
5 12
3 20
98
45
24) 2
2 7 212
5 6 12
88
45
PC 12 Review – 5 –
What is an
Exponent?
What are the
operation rules
for exponents?
The Exponent Laws:
Evaluate:
Product Law (xm)(xn) =
Quotient Law (xm)/(xn) =
Power of a Product Law (xy)n =
Power of a Quotient Law (x/y)n =
Power of a Power Law (xm)n
=
Zero Exponent Law
x0 =
Negative Exponent Law
x –1=
PC 12 Review – 6 –
Evaluate:
25) 5 6(3 )(4 )m m
1112m
26) 2 2( 3 )( )m m
43m
27) 5 3
4
m m
m
4m
28) 50 3
40
m m
m
13m
29) 2 7
5
m m
m
30) 5 3 2 4
4 3
m m m m
m m
7m
31)
2 25 8 5
3
m m m
m
28m
32)
25 3 3
23 2
4
6
m m m
m m
72
3
m
What is a
Polynomial?
A monomial is a number, a variable or a combination of these together that form a single term.
A polynomial is an expression formed by adding or subtracting monomials together.