Download Algebra I Unit 3 Test Review

Name ___________________________
Algebra I
Unit 3 Test Review
Date ____________
Property
1.
Commutative Property of Addition
a+b=b+a
2.
Commutative Property of Multiplication
a•b=b•a
3.
Associative Property of Addition
4.
Associative Property of Multiplication
5.
Distributive Property
6.
Additive Identity Property
a+0=a
7.
Multiplicative Identity Property
a• 1=a
8.
Additive Inverse Property
a + ( –a ) = 0
9.
Multiplicative Inverse Property
Note: a cannot = 0
1
 a 1
a
a+(b+c)=(a+b)+c
a•(b•c)=(a•b)•c
a•(b+c)=a•b+a•c
a•0=0
10. Multiplicative Property of Zero
11. Reflexive Property
a=a
12. Symmetric Property
If a = b, then b = a
13. Transitive Property
If a = b and b = c, then a = c
1. Name the property shown by each statement. Be specific if it is a property of
addition or multiplication.
Example
a)
55  6  6  55
b) 6  7  7  6
c)
 x  3  y  x   3  y 
d) 1 mp  mp
e) 9   5  x    5  x   9
f) 67  0  67
g) 7 x  0  0
h) x = x
Property
Solve for x.
x
+ 2 = 11
7
1) x – 5 = -2
2)
3) -3x – 8 = -5
4) 4x + 7 = 19
5) 7x – 6 = 2x + 14
6) (9x – 3) = 25
7) 4(x – 2) = 4x – 8
8) 3x + 11 = 5x + 19
9) 6(x + 2) – 3 = 2(x + 5)
10) 9(x – 1) – 4x = 5(x + 1)
2
3
Write an inequality that corresponds to each graph.
11)
12)
9
-2
__________
__________
Solve and graph each inequality.
13) x – 3 ≥ 8
15) -
x
+2>8
4
14) x – 7 < 3x + 3
16) 3(x – 4) ≤ 3x + 10
Solve for x in each proportion.
17)
x 4

6 8
18)
2
4

x  5 x 1
Solve for the indicated variable.
19) Solve for y: 2y – 4x = 12
20) Solve for w: A = lw
21) Solve for r: C = 2πr
1
2
22) Solve for b: A = bh
Write and solve each equation, inequality or proportion.
23) The quotient of a number and 6 plus 4 is the same as 22. Find the number.
24) 5 times a number minus 2 is the same as 2 times the number plus 16. Find the
number.
25) The quotient of a number and 4 is at least fifteen. Find the number.
26) Alex wants to go bowling and has $20 to spend. Each game costs $3 plus a fee
of $6 to rent shoes. What is the maximum number of games that Alex can bowl?
27) Kimmie can complete 8 math problems in 15 minutes. How many math
problems could she do in 45 minutes?