Week 67 Review

Combining Like Terms

100

2x + 12 - 3x + 5 + 6x

5x + 17

200

3y - 4x - y + x 

2y - 3x

300

13 + 7 + 9 - x

29 - x

400

9z + 2x - 4z + y + 3x - 6y

5z + 5x - 5y

500

Caleb worked the following problem: 

4x + 16 - 3x - 2 + x

8x + 14

What did Caleb do wrong?

He added 3x instead of subtracting.

Properties

100

What property is shown below?

23 * 1 = 23

Multiplicative

200

What property is shown below?

3 + 8 = 8 + 3

Commutative

300

What property is shown below?

45 + 0 = 45

Additive

400

What property is shown below?

3 * 5 * 2 * 0 * 8 = 0

Zero

500

Hope says the problem below is an example of the commutative property:

3 + (2 + 7) = (3 + 2) +7

Is she correct and if not what property is shown?

No, Associative

Distributive

100

2(x +3)

2x + 6

200

-5(4x - 8)

-20x + 40

300

3(-x + 6)

-3x + 18

400

2(x - 7)

2x - 14

500

Zoey worked the problem below

-2x(3x + 4)

-6x + -8

Is she correct and if not what is the correct answer?

No,  -6x² + -8x

One Step Equations

100

x - 9 = 12

x = 21

200

-3 + x = 17

x = 20

300

3/5x = 6

x = 10

400

t/6 = -3

t = -18

500

Drake completed the problem below

-5x = 30

x = 35

Did Drake answer the question correctly and if not what did he do wrong?

No, He added instead of dividing

Writing Expressions

100

the number of students increased by 5

x + 5

200

10 pizza slices split between a number of friends

10/f

300

the difference of a number and 6

x - 6

400

the product of 4 and a number

4n

500

McKayla wrote the following expression from the phrase " a number tripled and decreased by 2"

3(n -2)

Did she write the expression correctly and if not what should she have written?

No 3n - 2