Solving One Step, Two Step, and Multi-step Equations!
Solving Equations with Variables on Both Sides!
Ratios and Proportions!
Percents, Percent Change, and Percent Error
Simple interest, greatest possible error, and max/min dimensions!
100
Solve for x!
x + 5 = -2
x = -7
100
Solve for n!
3n - 5 = 7n + 11
n = -4
100
Solve the following proportion for b using the multiplication property of equality! Show your work!
b = (24)/5
or b= 4.8
100
Tell whether the following percent change is a percent increase or decrease.
original amount: 150 lb
new amount: 135 lb
percent decrease
100
What is the simple interest formula?
I = Prt
200
You have already read 117 pages of a book. You are one third of the way through the book. Write and solve an equation to find the number of pages in the book.
(1/3)b = 117, 351 pages
200
Solve for r!
2r - (5 - r) = 13 + 2r
r = 18
200
A band went to a recording studio and recorded 4 songs in 3 hours. How long would it take the band to record 9 songs if they record at the same rate?
6.75 hours
200
Find the percent error in the following estimation! Round to the nearest percent!
You estimate that your friend's little brother is 8 years old. He is actually 6.5 years old.
percent error: (|estimated - actual| / actual ) x 100 = (|8-6.5| / 6.5 ) x 100
= (1.5)/(6.5) x 100
=0.23 x 100
= about 23% percent error
200
What is the greatest possible error of a measurement taken to the nearest hundreth of a meter?
(0.5)(0.01 m)= 0.005 m
300
Solve for d!
d = -8
300
If you are solving an equation and end up with the following, what does that tell you about the solution?
2y + 4 = 2y + 4
infinitely many solutions
300
Solve the following proportion for b using the cross products property:
b = -47
300
In a bird sanctuary, 30% of the birds are hummingbirds. If there are 350 birds in the sanctuary at any given time, how many are hummingbirds?
105 hummingbirds
300
Name what each of the variables represents from the simple interest formula:
I, P, r, t
I: simple interest
P: principal amount (starting)
r: rate (percent-- switch to decimal)
t= time (years)
400
What is the solution of 3.5 - 0.02x = 1.24?
x = 113
400
Write an equation with a variable on both sides such that you get the following solution:
no solution
*answers will vary
ex) 3x+1 = 3x
400
When solving 
yes both will work!
Emma's method: cross products property
Landon's method: multiplication property of equality
400
DAILY DOUBLE!
Solve the following using both the percent proportion and the percent equation! Show work for both methods!
75% of what number is 36?
percent proportion:
percent equation:
0.75(x)=36 gives you x=48
400
Refer to the following measurement. Find the minimum and maximum possible measurements.
A doctor measures a patient's weight as 162.5 lbs, to the nearest half pound.
GPE: (0.5)(0.5 lbs)= 0.25lbs
Min: 162.5 - 0.25 = 162.25lbs
Max: 162.5 + 0.25 = 162.75 lbs
500
Can you solve the following equation by adding 2 before multiplying by 3? Explain!
No! You must either multiply both sides by 3 first or write the left side as the difference of two fractions and then add 2/3 to both sides
500
DAILY DOUBLE!
One health club charges a $50 sign-up fee and $65 per month. Another club charges a $90 sign up fee and $45 per month. For what number of months is the cost of the clubs equal?
2 months
500
Describe and correct the error in solving the following proportion!
Work:
16 = 3x+3
13 = 3x
(13)/(3) = x
forgot to distribute the 3 to the "+3" piece in the "x+3".
should get:
16 = 3x + 9
7 = 3x
x= 7/3
500
Give an example of a percent problem where the part is greater than the whole/base.
*answers will vary!
ex) 12 is what percent of 10?
500
Ms. McGuinness earned $450 in simple interest at 3% for 48 months. What is the principal amount that she deposited in the bank?
P= $3750 was deposited in the bank!