Expressions and Equations

Multiple Choice

-6k + 7k

• k

• -k

• 12k

• -12k

Multiple Choice

Simplify: 
-8n - 7(n+5)

• -15n - 35

• -1n -35

• -15n +35

• n +5

Multiple Select

Choose ALL expressions equivalent to $$4\left(-2x+3\right)$$  

• $$-8x+3$$  

• $$-2x+12$$  

• $$-8x+12$$  

• $$-2\left(-6+4x\right)$$  

• $$-12+8x$$  

Multiple Select

Which answer choice is equivalent to:

12x-16

Select all that apply.

• 3(4x+5)

• 3(4x-6)

• 4(4x-3)

• 4(3x-4)

• 8x-(4⋅4)+4x

​Example: Factor 12x + 10

​Step 1: Find the GCF of both terms

​

​

​Step 2: Divide 12 and 10 by their GCF

​

​

Step 3: Rewrite the equation after factoring​

​

​

​

​

Multiple Choice

Factor the expression:

10x + 5

• 5(2x + 5)

• 10(x + 5)

• 5(10x + 5)

• 5(2x + 1)

Multiple Choice

Factor the expression:

6x + 9

• 6(x + 9)

• 9(6x + 1)

• 3(2x + 3)

• 3(2x + 9)

Multiple Choice

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.

• h = 2(9) + 15

• 33 = 15h + 2

• h = 15(9) + 2

• 33 = 2h + 15

Multiple Choice

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  If your total was $33, how many hours did you rent the boat?

• h = 9

• h = 15

• h = 8

• h = 2

Multiple Choice

The 30 members of a choir are trying to raise $1500 to cover travel costs to a signing camp. They have already raised $600. Which equation would you solve to find the average amount each member can raise in order to meet the goal?

• 30x + 600 = 1500

• 30x - 600 = 1500

• x + 600 = 1500

• 30x = 1500

Multiple Choice

The 30 members of a choir are trying to raise $1500 to cover travel costs to a signing camp. They have already raised $600. Which equation would you solve to find the average amount each member can raise in order to meet the goal?

• x=600

• x=300

• x=30

• x=900

Multiple Choice

Distribute:

-2(3x - 8) 

• -6x + 16

• -6x - 16

• 6x - 8

• -5x - 10

Multiple Choice

Simplify

$$\frac{1}{2}\left(10x-12\right)$$  

• 5x - 6

• 20x - 24

• 12x - 10

• 12x - 14

Multiple Choice

Simplify

$$\frac{1}{4}\left(8x-12\right)$$  

• 2x - 3

• 32x - 48

• 12x - 16

• 12x - 8