Equations
At a fruit stand, the price of an apple is $2. If Sarah buys **x** apples and spends a total of $14, how many apples did she buy? Write an equation to represent this situation and solve for **x**.
x = 7
She bought 7 apples.
-5<h+3
-8 < h
A circle has a radius of 12 inches. What is its diameter?
d = 24in
True/False. You add a constant to a coefficient? Why?
False because they are not like terms.
In a garden, there are **x** rows of flowers. Each row has 5 flowers. If there are a total of 35 flowers in the garden, how many rows of flowers are there? Write an equation to represent this situation and solve for **x**.
x =7
There are 7 rows of flowers in the garden.
Patty has $75, and Latisha has L dollars. If Patty has $20 more than 3 times the amount Latisha has, which equation represents this situation?
75 = 20 + 3L
3L + 20 = 75
L = 3(75) + 20
75 - 20 = 3L
d. 75- 20 = 3L
6 ≥ d/2
12 is greater than or equal to d
A circle has a diameter of 17 meters. What is its radius?
r = 8.5 meters
How do you find the diameter when you have the radius?
When you have the radius, you have to multiply the radius by 2 to find the diameter.
Determine the value of n for the triangle below if the perimeter is 18. Show your work
S= n + 5
S = 2n +2
S = 3n - 1
n = 2
Ms. Hernandez has $100 to spend on parking and admission to the zoo. If parking costs $7 and admission is $15.50 per person, write an equation that represents the number of people she can bring, including herself? Solve the equation and show all of your work.
p = 5.64
Round to 6 people
-14 > -2h-4h+4
3 < h
A circle has a radius of 38 meters. What is its diameter?
d = 76 meters
What happens to the inequality symbol when you are multiplying by a negative coefficient?
The inequality symbol is flipped to make the inequality true.
If Lizbeth runs 3.4 miles on the first day and 5.25 miles each day after, find the number of days (d) she trained if she ran a total of 71.65 miles? Show your work.
d = 13
She ran 5.25 miles for 13 days.
Determine the value of n if the perimeter of the rectangle is 38. Show your work.
L= 7n-5
W= 10
n = 2
6(4 – x) < 12
x > 2
What is the area of the circle below? Show your work.
radius = 5 feet
Approximate = 78.5 feet
Exact = 78.54 feet
What happens to the inequality symbol when you have a negative constant?
The inequality symbol stays the same because the negative is not the coefficient.
What does it mean to isolate the variable in an equation?
a. To find the value of the variable
b. To eliminate the variable
c. To add more variables
d. To multiply more variables
a. To find the value of the variable.
A baseball team raised $967.50 for a tournament. After renting a bus for $450, they budgeted $28.75 per player for meals. If they spent all their money, write an equation that represents the number of players (n) on the team? Solve the equation and show all your work.
p = 18
18 players could go on the trip.
n - 8 > 4
n > 12
What is the area of the circle below? Show your work.
d = 22cm
approximate = 379.94 cm
exact = 380.13 cm
What happens to the circle and what direction do you shade on the number line with this inequality symbol > ?
The circle is unshaded and you would shade the right side of the value.
A skier starts at an altitude of 2,500 feet and descends at a rate of 4.5 feet per second until she reaches 2,430.25 feet. Write an equation used to find the number of seconds (s) it takes for her to reach that altitude? Solve the equation and show all your work.
s = 15.5