Evaluating Expressions
Properties
Distributing & Factoring
Absolute Value
CHALLENGE (DOUBLE POINTS)
100

Write an expression:

Four plus the product of nine and a number

4 + 9n

100

Name the property.

9 + 0 = 9

Identity Property of Addition

100

Distribute.

–3(2x – 6)

100

Evaluate if t = –2.

|12 + 2t|

8

100

Evaluate if n = 3 and p = 1/2.

n2 + p3

9 1/8

200

Evaluate.

62 – 32 · 8 + 11

1

200

Name the property.

4 · 3 = 1

3   4      

Inverse Property of Multiplication

200

Distribute.

6(2c – cd2 + 4d)

12c – 6cd2 + 24d

200

Evaluate if b = –3 and h = 6.

|4 – h| – b

5

200

Evaluate if x = 3.2.

9x2 + 4x – 11

93.96

300

Write a statement to represent the expression.

3(n2 – 9)

Three times the quantity of n squared minus nine

300

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

300

Factor.

39k2 + 52k – 26k3

13k(3k + 4 – 2k2)

300

Evaluate if x = 2, y = 3, and z = –4.

|2x + z| + 2y

6

300
Explain whether 1 can be an additive identity. Give an example to justify your reasoning.

No, adding 1 to a number will change its value.

400

Evaluate if x = 6, y = 8, and z = 3.

3y + x2

z

20

400

Write an example of the Transitive Property.

If a = b and b = c, then a = c.

400

Evaluate.

6x2[(3x – 4) + (4x + 2)]

42x3 – 12x2

400

Evaluate if a = –2, b = 2.1, and c = –4.2.

–c + |2b – a|

12.4

400

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)

500

Evaluate if a = 8, b = 4, and c = 16.

(a÷b)2 –     c    

              a – b

0

500

Explain why zero has no multiplicative inverse.

The reciprocal of 0 is 1/0. You cannot divide by zero.

500

Factor.

45n3p2 + 27np2 – 63n2p3

9np2(5n2 + 3 – 7np)

500

Evaluate if f = 6, g = –4, h = 0, and k = –2.

|fh – 3(g – 9)| – |k2 – g + 1|

30

500

Evaluate if a = –1/2, b = 3/4, and c = –2/3.

|–2a – 20b| – 12c

22