Write an expression:
Four plus the product of nine and a number
4 + 9n
Name the property.
9 + 0 = 9
Identity Property of Addition
Distribute.
–3(2x – 6)
Evaluate if t = –2.
|12 + 2t|
8
Evaluate if n = 3 and p = 1/2.
n2 + p3
9 1/8
Evaluate.
62 – 32 · 8 + 11
1
Name the property.
4 · 3 = 1
3 4
Inverse Property of Multiplication
Distribute.
6(2c – cd2 + 4d)
12c – 6cd2 + 24d
Evaluate if b = –3 and h = 6.
|4 – h| – b
5
Evaluate if x = 3.2.
9x2 + 4x – 11
93.96
Write a statement to represent the expression.
3(n2 – 9)
Three times the quantity of n squared minus nine
Name the property that is used to solve 5 · n · 2 = 1. Then solve for n.
Inverse Property of Multiplication
n = 1/10 or 0.1
Factor.
39k2 + 52k – 26k3
13k(3k + 4 – 2k2)
Evaluate if x = 2, y = 3, and z = –4.
|2x + z| + 2y
6
No, adding 1 to a number will change its value.
Evaluate if x = 6, y = 8, and z = 3.
3y + x2
z
20
Write an example of the Transitive Property.
If a = b and b = c, then a = c.
Evaluate.
6x2[(3x – 4) + (4x + 2)]
42x3 – 12x2
Evaluate if a = –2, b = 2.1, and c = –4.2.
–c + |2b – a|
12.4
A rectangular dog park is x feet long and y feet wide.
Write an expression that represents the perimeter using the Distributive Property.
2(x + y)
Evaluate if a = 8, b = 4, and c = 16.
(a÷b)2 – c
a – b
0
Explain why zero has no multiplicative inverse.
The reciprocal of 0 is 1/0. You cannot divide by zero.
Factor.
45n3p2 + 27np2 – 63n2p3
9np2(5n2 + 3 – 7np)
Evaluate if f = 6, g = –4, h = 0, and k = –2.
|fh – 3(g – 9)| – |k2 – g + 1|
30
Evaluate if a = –1/2, b = 3/4, and c = –2/3.
|–2a – 20b| – 12c
22