Unit 1/2 Review
What does the each letter stand for in PEMDAS?
Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)
What are two key features of the graph of a proportional relationship?
1. Starts at the origin (0,0)
2. Graph forms a straight line
What should you multiply by to find 7 percent of a total?
.07
How many terms does each have?
Monomial, Binomial, Trinomial
Monomial: One
Binomial: Two
Trinomial: Three
What is
- 144 / 12
- 12
On a graph of a proportional relationship, what coordinate point will always exist where k is the constant of proportionality?
( ? , k )
( 1, k )
This point will always represent the unit rate / constant of proportionality. Unit rates are ALWAYS simplified in terms of ONE unit.
Explain the process of how to find the total of a restaurant bill of $24.30 with an 8 percent tip.
Bonus points for the SECOND method we learned
1. 24. 30 (.08) = 1.944
add result to 24. 30
Total: 26.244 - round to nearest hundredth (money)
= $26.24 total after tip
2. +100 extra points
Multiply 24.30 (1.08) for the total
= 26.244 = $26.24 after tip
What property was used to go from
8 ( 7 + 6 ) = 8 ( 6 + 7 )
Commutative Property
- changed order of the 6 and 7
What is the decimal equivalent of 5/9
0.555555555556
Caleb spent 31.60 on 10 gallons of gas. What was the price of Caleb's gas per gallon?
$3.16 per gallon
4/5 of the class ride the bus to school. What percentage of the class ride the bus to school?
4 / 5 = 80 / 100
80 %
What is the value of the expression 5(x^2)+8 when (x=-2)
5((-2)^2)+8
5(4)+8
20+8
28
From 12:00 midnight to 8:00 a.m., the temperature decreased by 18 degrees. If the original
temperature was 18 degrees, which expression can be used to represent this situation?
18-18
Last week, Hannah spent 38.00 for 4 games of bowling. This week, she spent 57.00 for 6 games of bowling. If each of these games cost the same amount of money, what is the constant of proportionality?
Constant of Proportionality = Unit Rate
38 / 4 = $9.50
57 / 6 = $9.50
Therefore, the constant of proportionality is $9.50 per game of bowling.
Eight of Alana’s cousins have a dog. If Alana has eleven cousins, what percent represents the number of cousins who do not have a dog?
8/11 do have a dog , meaning that 3/11 do not have a dog
3/11 = .27272727
or to the nearest whole number: 27%
What is the value of the expression
2 ( x - 5 ) - ( - 2x + 6 )
Bonus +100 points: Factor the final binomial
2 ( x - 5 ) - ( - 2x + 6 )
2x - 10 + 2x - 6
4x - 16
Bonus: 4 ( x - 4 )
Jamie is training for a bike race. He rode 124 miles, which took him 7 and 3/4 hours.
Find the unit rate, in miles per hour, that Jamie rode his bike.
miles / hour
124 / (7 and 3/4)
convert to improper
124 / (31/4)
124 ( 4/31) -- keep change flip
16 miles per hour
Sierra’s family went on a road trip to see some relatives. She slept for five-ninths of the time they spent in the car. If Sierra slept for 10 hours, determine the number of hours that her family was in the car.
rw=p
r = 5/9 , w = ? , p = 10
5/9x = 10
(9/5) (5/9x) = 10 (9/5)
x = 90/5
x = 18 total hours
Express the perimeter of a rectangle that has a length of 2x + 6 and a width of x + 2
Perimeter is the sum of all 4 sides
2x + 6 + 2x + 6 + x + 2 + x + 2
6x + 16