Basics
What is a solution?
A solution to an equation is the value of the variable that makes the equation true.
Solve this equation.
9a+2=29
a= 3
Simplify the equation.
-5(7-9n)
-35+ 45n
Solve this equation.
3x-7=8
x= 5
How do you check your solution after your done with a problem?
You check your solution by substituting the value of the variable in the original equation.
How do you solve an equation?
To solve an equation you isolate the variable.
Solve this equation.
10=-3x-8
-6 =x
Simplify this expression.
-8(6x-3)
-48x+24
What is the definition of a solution to an equation?
A solution to the equation is the value of the variable that makes the equation true.
Solve this expression.
3x+1=5x-7
4 =x
What are inverse operations?
Inverse operations are two operations that undo each other, such as addition and subtraction.
Solve this equation.
8(n-5) = -88
n= -6
What is the first step to this equation?
-10(4+5x)
The first step is distributive property.
Solve this expression.
9x-13x+7=31
x= -6
Solve the equation.
2m-7=3(m+8)
-31 =m
How do you combine like terms in an equation?
To combine like terms, identify terms with the same variable and exponent, then add or subtract their coefficients.
Solve the equation.
25 = -5(5+r)
-10 =r
Simplify this equation.
5(3x+4)-7x+8
8x+28
Solve the equation.
4x−7(2−x)=3x+2
x= 2
Solve this expression.
5x+12=4x+19
x= 7
How do you do distributive property in an equation?
You multiply the term outside the parentheses by each term inside the parentheses.
Solve this equation.
9(x+7) = 126
x= 7
Simplify the expression.
3x+5x-6-(4x+7x-3)
-3(x+1)
Solve the expression.
4x+3(2x-1)=17
x= 2
Solve the equation.
10m-6=-16+1+7m+6
m= -1