variables
1+2r<7 Solve for r
r<3
the average life span of a cat is 15 years. If a cat is already 4 years of age, write an inequality to represent how many more years it could survive
4+y≤15
7(x+3)
7x+21
Solve for X when y=2 and Z=6:
5x-2y+z=-3
x=-1
define:equation
A mathematical sentence that shows that two expressions are equivalent.
`2+14x+x+2x-1=35
x=2
3x+7>19
x>4
Simplify the expression: 7(8+j)
56+7j
Solve for y when X=3:
-14y-19z=29
y=2
define:variable
a symbol used to represent a quantity that can change
-3x+4+16=24
solve for x
x=-1.3333
3+0.25x≤10
x≤28
Simplify the expression: 7+7x+9x
16x+7
Solve for x:
4(4x)+2(x)=72
x=4
define: expression
A mathematical phrase that contains operations, numbers and/or variables
Wendy is training to run a marathon at the end of the month. The more time she has spent training, the longer the distance she is able to cover during one run.
t = the amount of time Wendy has spent training
d = the distance Wendy is able to cover during one run
Which of the variables is independent and which is dependent?
T is the independent variable
D is the dependent variable
-3x+5≤-16
solve for x
x≥7
Simplify the expression: -9n-(-56n)+2z-15+(-90)
504n+2z-105
Solve for t:
1/5(3.5)+1/t(3.5)=1
t=11.67
define: dependent, independent, and constant variables
dependent variable
the output of a function; a variable whose value depends on the value of the input, or independent variable.
independent variable
The input of a function; a variable whose value determines the value of the output, or the dependent variable
Constant variable
a variable that does not change.
15+-50-2r<45
r<-40
4(3x-5)+7≥8x+3
4x-13≥3
Solve for x: 6(x+5)=-2(x+1)
x=-4
2/5x-15-5/8x-16
x-5 5/9
define:inequality
A mathematical sentence that shows the relationship between quantities that are not equality