Negative Numbers and Absolute Value
Choose a value for each variable to make the whole statement true.
x<y and |x|<y
-1<5 and |-1|<5
The number of hot dogs at a picnic is two for each student.
p=2h
0.5x=12
x=24
Define: inequality
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.
Rewrite this expression using the distributive property:
3(3+x)
9+3x
Choose a value for each variable to make the whole statement true.
a<b and |a|<|b|
-2<3 and |-2|<|3|
The area of a rectangle is its length multiplied by its width.
a = lw
4.3 + x = 6
x = 1.7
Define: variable
A quantity that may change within the context of a problem. (A symbol for a number we don't know yet).
Rewrite this expression using the distributive property:
(4+7)x
4x+7x
Choose a value for each variable to make the whole statement true.
t<u and |t|>|u|
-10<-1 and |-10|>|-1|
Potatoes sell for $0.25 per pound at the produce market. Write an equation for the cost c of p pounds of potatoes.
c=0.25p
37.2 = n - 12
x=49.2
Define: term
Either a single number or variable, or the product of several numbers or variables. Terms are separated by a + or - sign in an expression. For example, in 3 + 4x + 5yzw. 3, 4x, and 5yzw are three separate terms.
Rewrite this expression using the distributive property:
.5(x-6)
.5x-3
Choose a value for each variable to make the whole statement true.
c<d and |c|>d
-12<-8 and |-12|>-8
The sales tax in a state is 8%. Write an equation for the amount of tax t on an item that costs d dollars.
d=0.08t
x+22.5=49.25
x=26.75
Define: expression
A sentence with at least two numbers and at least one math operation.
Rewrite this expression using the distributive property:
x(1+2+3)
x+2x+3x
Write and solve an inequality based on this statement: If gasoline costs $4/gallon, how much gas can Mike buy if he has $17.50?
4g < 17.50
g < 4.375
A cellphone family plan costs $49 per month plus $0.05 per text. Write an equation for the monthly bill, b when t texts are sent.
b = 0.05t + 49
55t=176
t=3.2
A number used to multiply a variable.
Rewrite this expression using the distributive property:
z(2xy-3y+4x)
2xyz-2yz+4xz