Expressions
Simplify the expression:
(5x + 3) + (2x - 4)
7x - 1
5x = 30
x = 6
A car travels 35 miles per hour. If m represents miles and h represents hours, what equation represents this situation?
m = 35h
Write and solve an equation for the height of a rectangle with an area of 40 square meters and a base of 8 meters.
40 = 8h
h=5 meters
What must you always do when solving an equation?
Sample answers:
check your work
show all work
do the same to both sides
isolate the variable
Simplify the expression:
(5y - 3) - (2y - 4)
3y + 1
-3x + 4 = 16
x = -4
A car travels 35 miles per hour. If m represents miles and h represents hours, which variable is dependent?
m (miles)
Write an equation to represent the following sentence:
The difference of a number x and 3 is 15.
x - 3 = 15
What variable is not the best choice when writing your own equation to model a situation?
Sample answers: o, t
Simplify the expression:
3(5m + 11) - 2(5 - 3m)
15m + 33 - 10 + 6m
21m + 23
3(x - 5) = 18
x = 11
A car travels 35 miles per hour. This situation is represented by the equation m = 35h. Use your equation to find the amount of miles traveled in 3 hours.
105 miles
You went on several 4 mile runs last month as well as a long run of 10 miles. You ran a total of 54 miles last month. Write and solve an equation to determine the number of days, d, you ran 4 miles.
4d + 10 = 54
d = 11 days
What is the difference between an equation and an expression?
an equation has an equal sign
An equilateral triangle has side lengths of 3x - 5. What simplified expression represents the perimeter of the triangle?
9x - 15
(5/6) = (-2/3)x
x = -1.25
x = -5/4
A car travels 35 miles per hour. This situation is represented by the equation m = 35h. Use your equation to find the amount of hours for the car to travel 192.5 miles
5.5 hours
The average amount of time you spent on homework over the past 5 days was 32 minutes. You spent 12 min, 45 min, 30 min, and 35 min on 4 of the days. You can't remember how long you spent on homework the other day. Write and solve an equation to represent the amount of time, t, you spent on homework the final day?
(12+45+30+35+t) / 5 = 32
122 + t = 160
t = 38 minutes
What is Mrs. Ginter's favorite number?
10
Simplify the expression:
-2(x + 3) - (y - 3) + 2(4x - 3y)
-2x - 6 - y + 3 + 8x - 6y
6x - 7y - 3
-3(x + 5) + 4x = 10
x = 25
List what must be included to have a completely correct graph of an equation with two variables.
Labeled axes
Properly numbered axes
Points plotted correctly
Line with an arrow on the end
Title
A rectangular prism has a volume of 48 cubic centimeters. The height of the cone is 3 cm and the width is 2 cm. Write and solve an equation to find the length.
l = 8 cm
Name 2 words (other than equals) that mean equals.
same
is
(other answers possible too!)