Equations in Words
Write an equation to represent this sentence.
Six times the difference of a number y and a number x is equivalent to 60.
6(y - x) = 60
Solve this equation and identify the property that could be used to solve.
-3x = 27
x = -9; Division Property
Solve this absolute value equation.
|x| = -4
No Solution
The width of a swimming pool at the local athletic center is 60 feet. If 1 meter is approximately equal to 3.3 feet, what is the width of the pool in meters? Round to the nearest tenth.
18.2 meters
Write an equation to represent this sentence.
Seven times a number x plus 8 equals 90.7x + 8 = 90
Solve this equation.
x - 40 = 3x
x = -20
Solve this absolute value equation.
|x + 9| = 20
x = 11 and x = -29
Must have both solutions!
The perimeter of a rectangle is given by the equation P = 2L + 2W, where L is the length of the rectangle and W is the width of the rectangle.
Solve the equation above for L.
L = (P - 2W)/2
Write an equation that represents this sentence.
The volume of a cylinder is represented by pi times r squared.
V = pi r2
Solve this equation.
3(x - 4) = 3x - 4
No Solution
Solve this absolute value equation.
-3|x - 6| = -36
x = 18, x = -6
Must have both solutions to receive the points!
A laptop screen has a width to height ratio of 5 : 4.
Write a proportion we can use to find the width of the laptop screen if the height is 10 inches.
5/4 = x/10
Write a sentence based on this equation.
4(x - 3) = 100
Four times the difference of x and three is equal to 100.
Solve this equation.
(2 + 3x) + 4 = 3(x + 2)
Infinitely Many Solutions/Identity
Solve this proportion problem.
See Mrs. Honeycutt for the answer.
A train is traveling at a speed of 40 miles per hour. Three hours later, another train leaves the same station traveling at a speed of 50 miles per hour.
These equations represent the scenario at time t hours:
First Train: 40t, Second Train: 50(t - 3)
After how many minutes will the two trains be the same distance away from the station?
900 minutes
Write a sentence based on this equation.
4|x - 9| + 2 = -72
The sum of 4 times the absolute value of x minus 9 and 2 is equal to -72
See the white board for this proportion problem.
See the board for the correct response.
Solve this proportion problem.
See Mrs. Honeycutt for the answer.
What is Mrs. Honeycutt's dog's name?
Cinnamon