Solutions and Equations
14 = u/6 ; u = 78, 81, 84, 90
u= 84
if 23+37=60, does 23+37+9= 60+9?
Yes
g - 8 = 25
g= 33
t/5.4=9.01
t=48.654
Write an solve an equation for the situation:
Lola typed 1,125 words in 15 minutes. Let w represent the number of words typed each minute. If Lola typed the same number of words each minutes, how many words did she type in one minute?
15m= 1125
m= 75
5k= 65 ; k=11, 12,13,14
k=13
If 16+1=17, does 16 +1-1=17-2?
no
30= m-18
m = 48
3/4x=2
x=8/3
Write an solve an equation for the situation:
Teddy is seven times older than Bella. If Teddy is 42 years old, how old is Bella?
7b= 42
b= 6
5.6 = n + 4.09 n= .7, .97, 1.5, 9.69
solution not given
Apply the multiplication property of equality to write an equation equivalent to 7n = 28.
will vary. ex. 7n x 3 = 28 x 3
29= k/5
k=145
s+ 1/4 = 12 1/2
Thomas buys a bag of 5 peaches for $3.55. Write and solve an equation to find how much money Thomas paid for each peach.
5p=3.55
p=$.71
Say is b=6 is a solution or not a solution:
a. 8b=48
b.11-b=6
c. b+3 = 9
a. solution
b. not a solution
c. solution
What property of equality is being shown?
5m +4= 19
5m + 4 - 3 = 19 -3?
subtraction property of equality
What inverse operation should be used to solve 153= g +45?
subtraction
2/7q=3
q=10 1/2
Krys has $1.54 and spends $.76. Write and solve an equation to find how much money Krys has left.
1.54-.76=n
n= $.78
Write an equation that has a solution of 12.
will vary. ex. n+11= 23
What property of equality is being shown?
3t = 20
3t / 2 = 20 /2
division property of equality
8y=56
y=7
12.85 = x -4.34
x= 17.19
In a mixed bag of nuts, there are 35 almonds, 34 pecans, 32 walnuts, and p pistachios. The bag has a total of 134 nuts. Write and solve an equation to find the number of pistachios in the bag.
35+34+32+p=134
p=33