Equivalent Equations
Addition/Subtraction & Multiplication/Divison
Several Transformations
Solving Inequalities
Story Problems
100
5 + 2 + 3a = 1
7 + 3a = 1
100
n - 8 = 24
n = 32
100
9 - 5n = 24
n = -3
100
What is wrong with this sequence of steps? -2e > 5 e > -10
Didn't flip the sign e < -10
100
The 8th grade classes are taking a bus trip to the art museum. There is room for 60 people on each bus. If 175 students and 23 adults go on the trip, how many total buses are needed?
Need 4 buses.
200
m - 9 + 5 = 32 ÷ 8
m - 4 = 4
200
-26 = d + 8
-34 = d
200
z/4 - 5 = 9
z = 56
200
a + 7 < 10
a < 3
200
On a recent trip to Paris, Katie spends $75 on gifts. If a bottle of perfume was worth $5, how many bottles of perfume could she have bought?
15 total bottles of perfume
300
8v - 10 + 2v = 30
10v - 10 = 30
300
y/4 = 17
y = 68
300
7m = -2m + 10
m = 10/9 or m = 1 and 1/9
300
u/3 < 5
u < 15
300
Turner bought some plants at $2.49 each. His total bill was $24.90, how many plants did Turner buy?
10 plants
400
124 ÷ 2 = (e-2.5)3
62 = 3e - 7.5
400
217 = 7p
31 = p
400
y - 5 = 2y + 10
y = -15
400
-6y > -24.6
y > 4.1
400
The 8th grade teachers allow 3 quality points for each book report. How many reports must be written to earn 25 quality points?
7 book reports must be written
500
6.6 = (11- 10y)0.5
6.6 = 5.5 - 5y
500
5.01q = 85.671
q=17.1
500
9 x 2y + 3 = 21
y = 1
500
4(c - 1) > 12
c > 4
500
Mark has some dimes and nickels that have a total value of $4.60. The number of dimes she has is 4 more than 3 times the number of nickels. How many nickels does she have?
12 nickels