Algebraic Expressions
Write an algebraic expression for the following verbal expression:
sixteen less three times a number
6-3n
Solve:
32 [(12 – 4) ÷ 2]
36
Name the property and find the value of n:
11 • n = 1
Multiplicative Inverse
n = 1/11
Simplify the expression:
15w – 6w + 14w2
9w + 14w2
If g(x) = x2 + 5, find g(-3)
14
Write an algebraic expression for the following verbal expression:
the sum of one-third of a number and twenty-seven
1/3n + 27
Solve:
23 [(15 – 7) (4 ÷ 2)]
128
Name the property and find the value of n:
5 + 0 = n
Additive Identity
n = 5
Simplify the expression:
7(2y + 1) + 3y
17y + 7
If f(x) = 2x – 6, find f(7) – 9
-1
Write an algebraic expression for the following verbal expression:
the quotient of five and twice a number
5/(2x)
Solve 3w + (8 – v)t if w = 4, v = 5 and t = 2
18
Name the property and find the value of n:
6 + n = 0
Additive Inverse
n = -6
Simplify the expression:
4w2 + 7w2 + 7z2
11w2 + 7z2
If g(x) = x2 – 3x + 2, find g(3y)
3y – 18y2
Write an algebraic expression for the following verbal expression:
the product of five and the quantity n cubed plus nine
5(n3 + 9)
Solve 3nw – w2 + t3 if w = 4, n = 8, v = 5, and t = 2
88
Name the property and find the value of n:
7 + n = 7 + 3
Reflexive Property
n = 3
Simplify the expression:
16a2 - 7b2 + 3b - 2a2
14a2 - 7b2 + 3b
If g(x) = x2 – 3x + 2, find g(–4)
30
Write an algebraic expression for the following verbal expression:
six less than four times n cubed
n3 - 6
Insert brackets, parentheses, and the symbols for addition, subtraction, and division in the following sequence of numbers to create an expression whose value is 4.
2 5 1 4 1
2[(5 − 1) ÷ 4 + 1]
Name the property and find the value of n:
5 ∙ n ∙ 2 = 0
Multiplicative Property of Zero
n = 0
Simplify the expression:
3a - 6(5a + 4n) + 9n
-27a - 15n
If g(x) = x – 2x2, find 2[g(-2) + 1]
-18