Equations
Find the missing value of the variable:
x + 3 = 7
x = 4
Are 3x + 1 and 2x + 2 equivalent expressions? Explain your thinking.
They are not equivalent expressions because they will not always give the same result for every value of the variable.
Use the distributive property to simplify:
3(2 + 4)
18
Evaluate 32.
9
What does it mean to square a number?
Squaring a number is when you multiply a value by itself.
Example: 2(2) is the same as 22
Find the missing value of the variable:
4w = 48
w = 12
Are x and 1x equivalent expressions?
Yes they are equivalent expressions because they give the same result for every value of the variable.
Use the distributive property to simplify:
4(x + 1)
4x + 4
Evaluate 32 - 3
6
In this problem what is the first step you would do?
q + 12 = 19
Find the missing value of the variable:
w/6 = 12
w = 72
Are x + x + x and 3x equivalent expressions?
They are equivalent expressions because they give the same result for every value of the variable.
Use the distributive property to simplify:
2(2x+3)
4x+6
Evaluate when y = 4
y + 10y + 6y
68
What axis do you put the independent variable on? The dependent variable?
Independent = x-axis
Dependent = y-axis
Find the missing value of the variable:
1/2y = 30
y = 60
Are 4x and 4x equivalent expressions?
They are not equivalent expressions because they do not give the same result for every value of the variable.
Use the distributive property to simplify this expression:
7(2-x)
14 - 7x
Evaluate when w = 15.
5w + 120
195
The value of r.
r = 19 + 135 - 21
r = 133
48 - x = 37
x = 11
Are x3 and (x)(x)(x) equivalent expressions?
They are equivalent expressions because they give the same result for every value of the variable.
Use the distributive property to simplify the expression
5(3c - 12)
15c - 60
Evaluate when x=3
4x + 9
73
92 + 12 =
93