Fractions & Decimals
What is 0.45 as a SIMPLIFIED fraction?
45/100 = 9/20
What is the opposite of -12?
The graph of a proportional relationship always goes through which point?
The origin (0,0)
4x - 7 - x
3x - 7
Brendan ordered a set of red and brown pins. He received 40 pins, and 70% of them were red. How many red pins did Brendan receive?
50% ---> 20
10& ----> 4
70% ----> 28
28 red pins
What is 9/10 as a decimal?
0.9
What is -5 + 8?
3
Do the ratios 8:12 and 2:3 form a proportion? Why or why not?
Yes, they are equal.
Solve 3x - 7 = 5
x = 4
To celebrate the first day of school, Harper brought in a tray of caramel brownies and walnut brownies. The tray had a total of 20 brownies, of which 20% were caramel. How many caramel brownies did Harper bring?
50% ---> 10
10% ----> 2
20% ----> 4
4 caramel brownies
What is 0.08 as a SIMPLIFIED fraction?
8/100 = 4/50 = 2/25
Put in order from least to greatest
3/5 , 0.2, 10/100
10/100, 20/100, 60/100
0.1, 0.2, 0.6
10%, 20%, 60%
A recipe uses 3 cups of flour for 12 cookies. If I have 4.5 cups of flour, how many cookies can I make?
18 cookies
Solve x/6 + 5 = 8
x = 18
Christine ordered a set of beads. She received 400 beads, and 35% of them were orange. How many orange beads did Christine receive?
50% ---> 200
10% ---> 40
5% ----> 20
35% ----> 140
140 orange beads
What is 1/20 as a decimal?
1/20 = 5/100 = 0.05
Put in order from least to greatest
0.25, 1/5, 29/1000
29/1000, 1/5, 0.25
0.029, 0.200, 0.250
29/1000, 200/1000, 250/1000
Lamar and his sister take turns mowing the lawn. Because he is older, Lamar has to mow 5 times for every 4 times his sister mows.
Lamar mowed the lawn 10 times. How many times did his sister mow the lawn? So, how many more times did Lamar cut the grass than his sister? How many times did the law get cut total?
His sister mowed the lawn 8 times.
Lamar mowed the lawn 2 more times than his sister.
They cut the grass 18 times total.
Factor 6x + 15
3(2x +5)
Christine ordered a set of beads. She received 85 beads, and 80% of them were orange. How many orange beads did Christine receive?
50% ---> 42.5 beads
10% ---> 8.5 beads
20% ---> 17 beads
80% ----> 68 beads
68 orange beads
What is 2/3 as a decimal?
0.6 repeating
Which one has the least absolute value?
-10 -3 8 2 4 7
2
Absolute value is a numbers distance from zero (ignoring positive or negative)
Least absolute value would be 2
Greatest absolute value would be -10
Jerry has a lot of cousins! He has 5 times as many younger cousins as older cousins.
If Jerry has 12 more younger cousins than older cousins, how many cousins does he have altogether?
18 cousins
Distribute -4(x - 5)
-4x + 20
Logan has $40. She gave Meyer $25. What percentage of Logan's money does Meyer have?
a) 1.25%
b) 0.625%
c) 55%
d) 62.5%
(Hint: Start by asking yourself does he have more or less than 50%)
50% ---> $20
10% ---> $4
5% ----> $2
55% ----> $22
60% ----> $24
or do 25/40 and change it to a percent