Solving One Step, Two Step, and Multi-step Equations!
Solving Equations with Variables on Both Sides!
Literal Equations, Proportions, & Ratios/Conversions!
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
What is 1250 cm converted to meters?
Hint: 1m = 100cm
12.5 m
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
DAILY DOUBLE: 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 school is about 45 ft tall. Your school is actually 52 ft tall.|estimated- actual|/actual
|45-52|/52 = 7/52 = 0.134 = about 13%
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
Identify which property justifies each step to solve the equation shown. 
1. given
2. distributive property
3. addition property of =
4. addition property of =
5. division property of =
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
Describe and correct the error that was made in solving the literal equation shown for n.
error is that the individual added 3 instead of subtracting 3 from both sides
correct answer: 2m-3/-6
400
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?
400
Refer to the following measurement. Find the minimum and maximum possible measurements.
A doctor measures a patient's weight as 167.5 lbs, to the nearest half pound.
GPE: (0.5)(0.5 lbs)= 0.25lbs
Min: 162.5 - 0.25 = 167.25lbs
Max: 162.5 + 0.25 = 167.75 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!
a) For what number of T-shirts, is the cost from the two shops the exact same?
local: 11s+100
online: 15s+24
11s+100 = 15s + 24
76 = 4s
s = 19 so 19 shirts
500
involves 2 conversion factors!
Work:
500
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
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!