Equations
This type of mathematical statement has an equal sign and shows two expressions that are equivalent.
an equation
Solve for x: x+4=12
x=8
Solve for x
5x=20
x=4
This type of variable changes in response to the independent variable.
dependent variable
Write the word sentence as an inequality.
a number z is less than or equal to 1/2.
z ≥ x
The sum of a number n and 7 is 15.
n+7=15
If 7 + x=15, what is the value of x?
x=8
Solve for x
x/3 = 6
x = 18
The variable you manipulate in an experiment or equation, often represented by x.
an independent variable
The graph of 7≥x is shaded which way?
left
5 is one-fourth of a number c
5 = 1/4c
What is d if d - 7 =12?
d=19
Solve for p
42 = 7p
p = 6
The _________ variable is changed by the __________ variable.
dependent, independent
The graph of x ≥ 3 is shown with a ____ circle on ____.
closed, 3
Twice a number w is the same as 64
2w = 64
If 3 + x + 2 =10, what is the value of x?
x=5
Solve for r
10 = r/2
r = 20
Cell phone bill & data used
How far you drive & the amount of gas you have
how much money you earn & the hours you work
DV: cell phone bill IV: data used
DV: how far you can drive IV: the amount of gas you have
DV: how much money you earn IV: the hours you work
When graphing y<2, this type of circle is used to show that 2 is not included in the solution.
open circle
Students and faculty raise $6042 for band uniforms. The faculty raised $1780. Write an equation you can use to find the amount of m(in dollars) the students raised.
1780 + m = 6042
What is x if −6 + z =9?
z=15
solve for f
3f = 354
f=118
Rewrite the situation showing dependency, and then identify the dependent and the independent variables.
a wheel barrow with several bricks weighs more than a wheel barrow with just a few bricks.
The __________ depends on ___________.
dependent variable: weight of wheel barrow
independent variable: number of bricks in the wheel barrrow
Graph both of the inequalities.
x > -5
x is less than or equal to 17
1. open circle on -5, shaded right
2. closed circle on 17, shaded left