Simplifying Expressions
-8(-8m + 3) - 7(-5 - 9m)
127m + 11
-15b + 21 +5b=-19
b=4
Evaluate this expression
(−4) + 8 − (−2)=
6
What is 120% of 60
72
(Find the Unit Rate)
$139.88 for 4 pairs of jeans.
How much do each pair of jeans cost?
$34.97 for each pair of jeans
-10y2 + y - 1 + 9y2 + 2
-y2 + y + 1
4(15z - 8)=8(5z + 6)
z=4
−7) + (−4) + 7=
-4
What is 160% of 175
280
(Find the Unit Rate)
351 chairs in 27 rows
How many chairs are in each row?
13 chairs in each row
–2t2 + 10t + 5 + 5t2 + 2
3t2 + 10t + 7
In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of $5.88.
Write an equation to determine the original price per pound(p).
Find the original price per pound.
3(p+0.75)=5.88
$1.21
To take a taxi, it costs $3.00 plus an additional $2.00 per mile traveled. You spent exactly $20 on a taxi, which includes the $1 tip you left.
How many miles did you travel?
8 miles
In Dubai, 13 out of every 20 cans are recycled.
What percent of the cans are recycled?
(Which is the better buy?)
#1: 3 batteries for $4.80
#2: 12 batteries for 14.76
$4.80/3=$1.60
14.76/12=$1.23
Option #2 is the better buy.
–1 – 3p + 5p2 + 2p + 5 + 5p2
10p2 – p + 4
Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's baggage is 35 kg.
Write an equation to determine the weight,w, of each of Carl's checked bags.
Find the weight of each of his checked bags.
2w+4=35
15.5kg
Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of $5 from each of the subscribers to his website. The website had 200 subscribers last month. This month 40 new members joined the website and 10 members canceled their subscription.
How much money will Adriano’s online business earn this month?
1150
A zoo has 15 emperor penguins, who make up 30% of the total number of penguins at the zoo.
How many penguins live at the zoo?
50
(Which is the better buy?)
#1: $625 for 25 pairs of shoes
#2: $800 for 40 pairs of shoes
$625/25= $25 for each pair of shoes
$800/40= $20 for each pair of shoes
Options #2 is the better buy.
4x – 9z + 8x – 8 + 8x
20x – 9z – 8
Roger gets $40 per day as wages and $4.50 as commission for every pair of shoes he sells in a day. His daily earnings goal is $112.
Write an equation to determine how many pairs of shoes,p, Roger must sell in a day to meet his daily earnings goal.
Find the number of pairs of shoes he must sell to meet his daily earnings goal.
40+4.5p=112
Roger must sell 16 pairs of shoes to meet his daily earnings goal.
Kiersten runs a website that helps people learn to program. Every month, Kiersten receives a subscription fee of $10 from each of the subscribers to her website. Last month, the website had 100 subscribers. This month, 30 new members joined the website, and 10 members canceled their subscription.
How much money will Kiersten’s online business earn this month?
1200
Jacob is a quarterback. This year, he completes 350 passes, which is 70% of all the passes he attempted this year.
How many passes has Jacob attempted this year?
500
It took Jacob 30 minutes to drive 180 laps. How many laps did he drive in a minute?
What unit goes in the denominator.
Minutes