Equations
Solve the equation:
14n = 112
n = 8
If 23 + 37 = 60
does
23 + 37 + 9 = 60 + 9?
Yes, the same amount was added to both sides of the equation.
Write the inequality for the situation:
A number, n, is greater than 22
n > 22
Mr. Marlon buys 4 tickets for his family to visit the water park. The total cost is $210. Write and solve an equation to find the cost of each ticket.
4t = 210
t = $52.50
Would you use a closed circle or an open circle on a graph for this inequality:
x > 13
Open circle: does not include 13
What is the solution of 56 = k - 42
k = 98
Which property of equality is used?
5m x 6 = 60
5m x 6 + 5 = 60 + 5
Write an inequality for this situation:
Steve's height, h, is at least 48 inches.
h >/= 48
The temperature in a greenhouse should be 65 degrees or higher. Write an inequality to describe the allowable temperature in the greenhouse.
t >/= 65
Write an inequality for this situation:
A number of days, d, of sunshine is not 28.
d =/= 28
14x = 73.5
x = 5.25
Emily has $1 and a quarter. Jade has 5 quarters. If Emily gives Jade $1 and Jade gives Emily 4 quarters, will they each still have the same amount of money? (Make sure you can explain your answer)
Yes
Write an inequality to represent this situation:
The value, v, of the hat is less than $9
v < 9
The school bus sits at most 63 people. Write an inequality that represents the possible number of people who can be in the school bus.
s </= 63
t </= 5
Your teacher will check your answer.
x / 15 = 8 1/3
x = 125
Sam wrote that 7 + 9 = 16.
Then he wrote that 7 + 9 - p = 16 - p
Are his equations balanced? (Make sure you can explain why?)
Yes, Sam subtracted the same variable from each side. (Subtraction Property of Equality)
Write an inequality to represent this situation:
The distance of the race, d, is at least 6 miles
d >/= 6
p > 134
Identify the independent and dependent variable:
The number of hours, h, you spend driving at a speed of r miles per hour.
Independent: r
Dependent: h
The number of hours you drive depend on how many miles per hour you are driving.
Write an equation that represents the pattern:
x = 3, 4, 5, 6, 7
y = 12, 16, 20, 24, 28
y = 4x
Write an equation that is equivalent to n + 4 = 11 using the Multiplication Property of Equality.
Possible Answer:
n + 4 x 2 = 11 x 2
n + 4 x 10 = 11 x 10
Write an inequality to represent this situation:
Up to 5 people, p, visited Mary today
p </= 5
Ms. Lien is organizing a class trip. She wants to spend less than $1,000. The bus rental costs $500. Each student cost $10.50.
Write an inequality to represent the number of students, s, that Ms. Lien can bring on the trip.
s(10.50) < 1000 - 500
7 1/9 = 2 4/5 + m
194/45 OR 4 14/45