Rational Numbers
What is the opposite of -8
8
A car travels 480 miles in 6 hours. How many miles does the car travel each hour?
80 miles
How can you write 12% as a fraction?
12/100
What words signify that multiplication will be happening in a word problem?
each, every, per
Solve:
4x - 10 = 30
x = 10
Is 3.43452... a rational number?
No
How do you find the constant of proportionality?
k = y/x
90%
Evaluate the expression below for x = 3 and y = 2
5x - 3.2y
8.6
-5 - x/2 = 10
x = -30
What are the two kinds of rational numbers?
Terminating and Repeating Decimals
How can you tell if a graph is proportional?
It's a straight line and goes through the origin
A shirt costs $15 at a store. If there is a sale for 10% off, how much will it cost for the shirt after the sale?
$13.50
Combine the like terms:
4x - 6 + y - 3 - 5x + 7y
-1x + 8y - 9
1.5(4x - 6) = 15
x = 4
Is the sum of (-14) + (-6) positive or negative?
Negative
What is the constant of proportionality for a graph that goes through the point (2, 16)
y = 8x
A pizza from Pizza Hut originally costs $12. There is now a deal where the same pizza costs $8. What was the percent of the decrease in the price?
33%
Use the distributive property:
-3(2x - 5 + 3y)
-6x + 15 - 9y
There are 10 people attending a concert. They all buy tickets and one buys a soda for $5. They spent $95 all together. Create an equation and solve.
10t + 5 = 95
t = 9
What are the two ways opposites are related?
Combine to make 0, same absolute value.
At Store A, a 12 pack of soda costs $5.25. At Store B, a 16 pack of soda costs $7.50. Which is the better deal?
Store A
You take out a loan from the bank for $5000. You save it for 10 years at a rate of 4%. How much interest will you have on this loan? Use I = P*R*T
$2000
Factor the expression using the GCF:
6x + 12a - 66
6(x + 2a - 11)
When does an equation require the distributive property?