Algebra
UNIT 2
ALGEBRAIC EXPRESSIONS
UNIT 2 ALGEBRAIC EXPRESSIONS TEST STUDY GUIDE
1-1
3-1
VARIABLES AND EXPRESSIONS
WRITING EQUATIONS
SKILLS:
1)
2)
3)
4)
5)
1-2
ORDER
SKILLS:
1)
2)
1-5
1-6
THE DISTRIBUTIVE PROPERTY
COMMUTATIVE AND ASSOCIATIVE PROPERTIES
SKILLS:
1)
2)
3)
4)
5)
11-2
OPERATIONS
SKILLS:
1)
Evaluate powers of numbers.
Write algebraic expressions.
Write verbal expressions.
Write an equation from a verbal sentence.
Write a verbal sentence from an equation.
OF
OPERATIONS
Perform the order of operations.
Evaluate expressions.
Identify the Distributive Property.
Apply the Distributive Property to simplify expressions.
Identify the Commutative Property for addition and multiplication.
Identify the Associative Property for addition and multiplication.
Apply the Commutative and Associative Properties to simplify expressions.
WITH
RADICAL EXPRESSIONS
To add and subtract radical expressions.
MCD/LPG/MPH 10/12
1
Algebra
I.
Evaluate each of the following.
1)
72
2)
183
3)
114
4)
106
5)
992
6)
243
II.
Write an algebraic expression for each verbal expression.
1)
the sum of 16 and a number
2)
one-half of the square of b
3)
7 less than twice d
4)
the quotient of 14 and y
5)
the product of m and w cubed
6)
three times a number decreased by 11
III.
Write a verbal expression for each algebraic expression.
1)
6n4
2)
3)
5n + 12
4)
5)
17xy
6)
MCD/LPG/MPH 10/12
23 – h
a
19
3a2 – d3
2
Algebra
IV.
Write an equation for each verbal sentence.
1)
Three times a number decreased by 17 is 22.
2)
8 less than the quotient of z and 6 is 9.
3)
The square of x increased by twice y is the same as 4.
4)
11 more than a number cubed equals the square of the number.
V.
Write a verbal sentence for each equation.
1)
12 – 7d = 11
2)
3)
3a2 – d3 = 6
4)
VI.
1)
a
19
+ 4 = -8a
5xy – 9 = 11
Simplify each of the following expressions.
23 – 3  7 + 4  1
MCD/LPG/MPH 10/12
2)
24 ÷ 8  3 – 11
3
Algebra
3)
5)
VII.
1)
3)
8 – 3  2 (1 – 5) + 1
52 - 35
-4 + 6
4)
6)
-14 + (2  3 – 13) – 5
-3 (4 - 11) + 5
6 - 18
Evaluate each of the following if a = -2, b = -5, and c = 4.
-2a + 3b
a 2 + 6c
2b + a
MCD/LPG/MPH 10/12
2)
4)
b2 – 5ab
-3 (a - b)
2c
4
Algebra
VIII.
Simplify each of the following expressions.
1)
6(3 – 8)
2)
7 (5a + 11)
3)
-3 (2x – 11)
4)
6m – 9m
5)
3a + 4b – 7a
6)
234n – 234n
7)
5x2 – 3x + 9
8)
7w – 8 – 12w
9)
13a – 15b – 24a + 8b
10) 9 (4x + 8) + 6 (2x - 7)
11) 2 (3w - 4) – 8 (w – 5)
12) 14 – 4 (5a – 8) + 2
13) 11x – (5x + 3) - 17x + 3
14) -3 (8 – n) + 5 (-4n + 7)
15) 6 (-3x + 5) – (8 – 7x)
MCD/LPG/MPH 10/12
5
Algebra
IX.
1)
Find the perimeter of each figure.
6n + 4w
8m - 4w
3m - 8n + 5w
2)
6b
a + 3b
3a - 4b
9b + 7a
X.
Simplify each of the radical expressions.
1)
2 11 - 5 11
4)
8 - 18
6)
6 40 - 3 90
MCD/LPG/MPH 10/12
2)
9 5 - 12 5 + 5
3)
-5 10 + 6 2 - 8 10
5)
54 + 150
7)
45 - 3 20 - 7 12
6