Download 1.8-1.10 Review

Algebra 1
Name
_______
Order of Operations, Radical, and Pythagorean Theorem
Simplify each radical expression.
1)
3)
6)
2)
4)
98x 3 y 2
48n8
7)
8n5
Use the Pythagorean Theorem to find n. Express n as a radical in simplest form.
9)
10) a = 7, b = n, c = 9
11)
4 5
5 2
8
n
n
2
1
3
Adding: Evaluate each expression if r  2 , s  5, and t 
.
5
4
12)
 r    t  (  s )

13)
 r  (t )  s
Subtracting: Evaluate each expression if x  3.2, y  7.8, and z  4.7 .


14) 3   y   z  x   z 
15)
Multiplying: Evaluate each expression if
16)
z  1.2  ( x)   ( y )
.
17)
Dividing: Evaluate each expression if
.
18)
19)
Exponents: Simplify.
20) 8d²g³
4d³
21) _25m²n³
15m²
Match each property with its definition.
1. Associative Property of Addition ______
2. Identity Property of Multiplication ______
3. Associative Property of Multiplication ______
4. Commutative Property of Addition ______
5. Distributive Property ______
6. Inverse Property of Multiplication______
7. Commutative Property of Multiplication______
8. Identity Property of Addition ______
9. Multiplication of Zero ______
10. Inverse Property of Addition _______
11. Definition of Subtraction _______
12. Definition of Division ________
13. Reflexive Property ________
14. Transitive Property ______
15. Symmetric Property _______
16. Substitution Property _______
22) 36h_
18h³
A) If A=B and B=C, then A=C
B)
C)
D)
E)
F)
A0=0
A+B=B+A
A – B = A + (-B)
(A + B) + C = A + (B + C)
If A = B, then B = A
G) A  1 = A
H) A ÷ B = A · 1 , B ≠0
B
I) A(B + C) = AB + AC
J) A = A
K) (A  B)  C = A  (B  C)
L) A + (-A) = 0
M) A + 0 = A
N) A  B = B  A
O) _A_  _B_ = 1
B
A
P) If A = B then A may replace B