Module 6 DBA

Equivalent Expressions

100

Are 3x + 1 and 2x + 2 equivalent expressions? Explain your thinking.

They are not equivalent expressions because they will not always give the same result for every value of the variable.

200

Are x and 1x equivalent expressions?

Yes they are equivalent expressions because they give the same result for every value of the variable.

300

Are x + x + x and 3x equivalent expressions?

They are equivalent expressions because they give the same result for every value of the variable.

400

Are 4x and 4^x equivalent expressions?

They are not equivalent expressions because they do not give the same result for every value of the variable.

500

Are x³ and (x)(x)(x) equivalent expressions?

They are equivalent expressions because they give the same result for every value of the variable.

Distributive Property

100

Use the distributive property to simplify:

3(x + 4)

3x + 12

200

Use the distributive property to simplify:

4(5x - 1)

20x - 4

300

Use the distributive property to simplify:

12(2x-5)

24x-60

400

Use the distributive property to simplify:

2(3x + 4) + 3(5x + 7)

21x + 29

500

Use the distributive property to simplify:

7(x + 3) - 9(2x + 5)

7x + 21 - 18x - 45

-11x - 24

Exponents

100

Evaluate 3².

9

200

Evaluate 3³ - 4².

11

300

Evaluate 6x³ if x = 3.

162

400

Evaluate

2w² + 5w

if w = 4.

52

500

Evaluate.

3² x (16 - 2³ + 1) 

81

Order of Operations

100

3+5 * 2

13

200

16*(1/2)³

2

300

 75 - (7-2)² /5

70

400

3³ - 2⁴

11

500

64 / 2 * (1/4)²

2

Vocabulary

100

Give an example of a coefficient from the following expression:

2x - 4y * 9(z+3)

2, 4, 1

200

Give an example of a term from the following expression:

2x - 4y * 9(z+3)

2x, 4y, etc

300

Give an example of a variable from the following expression:

2x - 4y * 9(z+3)

x, y, z

400

Give an example of a constant from the following expression:

2x - 4y * 9

9

500

Give an example of factors from the following expression:

2x - 4y * 9(z+3)

2 and x, 4 and y, etc