Vocabulary
A mathematical sentence that uses an equal sign to show that two expressions are equal
Equation
57 = x + 39
x = 18
Write an inequality for the situation:
The length of the table, t, is more than 5 feet
t > 5
Identity the independent and dependent variable
Tickets, t, sold for a race and the amount of money, m, collected
independent = t
dependent = m
Use the "table" to write an equation.
x = 0 , 2 , 4 , 6
y = 5 , 7 , 9, 11
y = x + 2
A variable that changes in response to another variable.
Dependent Variable
w - 19.89 = 13.89
w = 33.78
Write an inequality for the situation:
The weight limit, w, on the bridge is 12 tons.
w (less than or equal to sign) 12
Identify the independent and dependent variable
The number of students, s, ahead of you in the lunch line and the time, t, it takes you to get lunch
independent = s
dependent = t
Use the "table" to write an equation.
x = 1 , 3 , 5 , 7
y = 4 , 12 , 20 , 28
y = 4x
To replace the variable with a number
Substitute
14r = 35
r = 2.5
Solve:
54c > 405
c > 7.5
Identify the independent and dependent variables
The amount of time, t, to finish a race and the number of laps, l, around a track
independent = l
dependent = t
Use the "table" to write an equation.
x = 0 , 8 , 16 , 24
y = 0 , 1 , 2 , 3
y = x/8
A mathematical sentence that compares expressions
Inequality
19 = r/4.3
r = 81.7
Solve:
x/6 < 9
x < 54
Identify the independent and dependent variables
The length of a story in pages, p, and the number of words, w, in a story
independent = w
dependent = l
Use the "table" to write an equation.
x = 4, 10, 15, 28
y = 2 , 5 , 7.5, 14
y = x/2
Used to isolate the variable
Inverse Operations
(3/4)g = 6
g = 8
Solve:
10x - 4 > 6
x > 1
Identify the independent and dependent variables
The length, l, of a pencil and the number of times, t, it has been sharpened
independent = t
dependent = l
Use the "table" to write an equation. **CHALLENGE**
x = 0, 1, 2, 3
y = -1, 1, 3, 5
y = 2x -1