Exponents
Laws of Exponents
Linear Representations
Comparing Representations
Miscellaneous
100
Write 4x4x4x4x4x4x4 in exponential form.
4^7
100
Evaluate: (2^2)^3
4^3 = 64 or 2^6 = 64
100

A truck is shipping jugs of drinking water and cases of paper towels. A jug of drinking water weighs 40 pounds and a case of paper towels weighs 16 pounds. The truck can carry 2,000 pounds of cargo altogether.

a. If the truck is carrying 10 jugs of drinking water, how many cases of paper towels can they carry?

b. If the truck is carrying 50 cases of paper towels, how many jugs of drinking water can they carry?

a. 100 cases of paper towels

b. 30 jugs of drinking water

100
Is -2^8 the same answer as (-2)^8? Explain.
No, without parentheses () the answer will be negative, with them the answer will be positive.
200
Write 3^5 in expanded Form.
3x3x3x3x3
200
Simplify: (4y)^3
64y^3
200

A truck is shipping jugs of drinking water and cases of paper towels. A jug of drinking water weighs 40 pounds and a case of paper towels weighs 16 pounds. The truck can carry 2,000 pounds of cargo altogether.

Write an equation relating the number of jugs of water (w) and the number of cases of paper towels (t) the truck can carry.

40w+16t=2000

200

When is a relationship proportional?  

A relationship is proportional when the rate is constant AND it begins at (0,0).

200
Shelly's work is shown below: (5^4)(5^-3) = 5 Is Shelly correct? Explain.
Yes, 4+-3 = 1. 5^1=5
300
Evaluate the expression, (-3)^3
-27
300
Simplify: (x^5)(x^9)
x^14
300

A pizza shop charges $12 per pizza and a delivery fee of $5.  How much would Mrs. Johnson pay if she ordered 7 pizzas for the staff at Carmody?

$89

300

A successful music app tracked the number of song downloads each day for a month for 4 music artists, represented by lines ℓ, j, m, and d over the course of a month. Which line represents an artist whose downloads remained constant over the month?

Artist m

300

Write the equation for lines d and e.

d: y=7

e: x=-2.5

400
Evaluate the expression, (149)^0
1
400
Simplify: (36x^4y^3)/(6xy^2)
6x^3y
400

A pizza shop charges $12 per pizza and a delivery fee of $5.  How much would x pizzas cost?

y=12x+5

400

Noah is growing three different types of trees. He is keeping track of the height of each tree over time.

Which tree grows the slowest?

Tree 3

400

Write the equation for line c.

y=1/4x-3

500
Evaluate the expression, 9^-2
1/81
500
Simplify: (5x^2)^3/(7y^9)^0
125x^6
500

A pizza shop charges $12 per pizza and a delivery fee of $5.  Describe what a graph where the x axis is representing the number of pizzas and the y axis is representing the total cost would look like.

The y-intercept would be at 5 and the line would increase by 12 for each additional pizza.

500

A pool holds 19,900 gallons of water. There are two hoses that can be used to fill the pool, a large one and a small one. On an average day, it takes 5 hours to fill the pool with the large hose and 12 hours with the small hose. Which graph best represents this scenario?

A

500

Write the equation for b.

y=-2/3x + 5

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