BASIC ALGEBRA MIDTERM EXAM REVIEW
UNIT 2 ALGEBRAIC EXPRESSIONS (GREEN NOTES)
Required Skills:
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
Evaluate powers of numbers.
Write algebraic expressions.
Write verbal expressions.
Write an equation from a verbal sentence.
Write a verbal sentence from an equation.
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.
11) Identify the Associative Property for addition and multiplication.
12) Apply the Commutative and Associative Properties to simplify
expressions.
13) To add and subtract radical expressions.
Simplify each of the following expressions.
1)
57+1
2)
3)
9 – 14  2 + 3  4
4)
MCD/MPH/LPG 1/11
27  3 - 5
562
12  4
1
5)
6  5 + 42 – 32  8
6)
7 + 8  4 – 3  23
Evaluate each of the following expressions.
7)
3a - 2 + 5b if a = 6 and b = 2
8)
9)
7x + 4 + 5y if x = 2 and y = 4
10) 4a - 3b if a = -5, b = 2
11) -7r + 6u - 5t if r = 3,u = -3, t = -2
5a - 4b + 9 if a = 7 and b = 2
12) -3x - 2y + 4z if x= 2, y= -1, z= -5
Simplify each of the following expressions.
13) 6 (3x + 2)
MCD/MPH/LPG 1/11
14)
4k  1221
2
15) (4y - 3) 6
16) 4b + 2 (3b + 1) + 7
17) 2x + 5 (7 + 3x) + x
18) (7 + 4r) 2 + (9 + 5r) 3
19) -6a + 2 + 2b - 8 - 3a - 9b
20) -7c - 8b - 4c + 5a + 5b - 2a
21) -6a - 11b - 2c + 14a + 9b + 8c
22) -4b - 5a - 9 - 2a + 4b
23) 4x – 7 (5 + 2x)
24) 6 – 2 (8 - 7x)
25) 5y – 3 (6 - 4y)
26) 2a – 4 (3a + 1) – 7
27) 9 (4x + 8) + 6 (2x - 7)
28) 2 (3w - 4) – 8 (w – 5)
MCD/MPH/LPG 1/11
3
29) -3 (8 – n) – (-4n + 7)
30) 6 (-3x + 5) – (8 – 7x)
Simplify each of the radical expressions.
31) 5 6  18 6
34)
32) 7 5  4 5  5
27  75
36) 2 54  7 90
33) 8 2  6 7  10 2
35)
20  45
37)
150  3 24  7 8
Write an algebraic expression for each verbal expression.
38) 14 decreased by twice a number
39) 4 less than 6 times a number
40) 3 more than 8 times a number
41) 18 increased by four times a number
MCD/MPH/LPG 1/11
4
42) the product of a number and
and another number cubed
43) the quotient of 8 and a number squared
Write a verbal expression for each algebraic expression.
44) 6n4
45) 23 – h
46) 5n + 12
47)
48) 17xy
49) 3a2 – d3
a
19
Write an equation for each verbal sentence.
50) Three times a number decreased by 17 is 22.
51) 8 less than the quotient of z and 6 is 9.
52) The square of x increased by twice y is the same as 4.
53) 11 more than a number cubed equals the square of the number.
MCD/MPH/LPG 1/11
5
Write a verbal sentence for each equation.
54) 12 – 7d = 11
55)
a
+ 4 = -8a
19
56) 3a2 – d3 = 6a
57) 5xy – 9 = 11
MCD/MPH/LPG 1/11
6