How to solve one-step equations - Algebra 1
Card 0 of 20
What is the solution of 3x = 9?
What is the solution of 3x = 9?
When solving a one step equation like this, we do the inverse operation to isolate the variable. In this case, we have 3x = 9, so we divide both sides by 3 to get x = 3.
3x = 9
(3x)/3 = (9)/3
x = 3
When solving a one step equation like this, we do the inverse operation to isolate the variable. In this case, we have 3x = 9, so we divide both sides by 3 to get x = 3.
3x = 9
(3x)/3 = (9)/3
x = 3
Compare your answer with the correct one above
Solve for 
.
Solve for
Add 15 to each side of the equation.
Add 15 to each side of the equation.
Compare your answer with the correct one above
Identify the imaginary part of the following complex number:
Identify the imaginary part of the following complex number:
A complex number in its standard form is of the form: 
, where 
stands for the real part and 
stands for the imaginary part. The symbol 
stands for 
.
The imaginary part is 
.
A complex number in its standard form is of the form:
The imaginary part is
Compare your answer with the correct one above
Find the conjugate of 
.
Find the conjugate of
The conjugate is 
so that when 
is multiplied by its conjugate we get
Since 
we get
.
The conjugate is
Since
we get
Compare your answer with the correct one above
Identify the real part of 
.
Identify the real part of
A complex number in its standard form is of the form: 
, where 
stands for the real part and 
stands for the imaginary part. The symbol 
stands for .
The real part is 0.
In this problem there is no real part. Hence the real part equals 0.
A complex number in its standard form is of the form:
The real part is 0.
In this problem there is no real part. Hence the real part equals 0.
Compare your answer with the correct one above
Identify the imaginary part of 
.
Identify the imaginary part of
A complex number in its standard form is of the form: 
, where 
stands for the real part and 
stands for the imaginary part. The symbol 
stands for .
The imaginary part equals 
based on the definition of a complex number in standard form which is 
.
A complex number in its standard form is of the form:
The imaginary part equals
Compare your answer with the correct one above
Identify the conjugate of 
.
Identify the conjugate of
The conjugate of an imaginary number is the opposite of the given imaginary part. For example the conjugate of 
is 
and conjugate of 
equals 
The conjugate of an imaginary number is the opposite of the given imaginary part. For example the conjugate of
Compare your answer with the correct one above
Find the conjugate of 
.
Find the conjugate of
Since 
is a real number its conjugate is also 
.
Since
Compare your answer with the correct one above
Solve for 
:
Solve for
First we will add 
to both sides.
Then we will multiple both sides by 
to isolate 
.
First we will add
Then we will multiple both sides by
Compare your answer with the correct one above
Solve for 
:
Solve for
Compare your answer with the correct one above
Compare your answer with the correct one above
Compare your answer with the correct one above
What is the value of 
?
What is the value of
Simplifying for 
gives you 
. Thus, the value of 
is 3.
Simplifying for
Compare your answer with the correct one above
What is the smaller root of 
?
What is the smaller root of
To determine the roots of the equation, you must set each expression equal to 0. In this case, there are two expressions being multiplied. Thus, you must set 
and 
, which would give you 
and 
as roots, with 
being the smaller root.
To determine the roots of the equation, you must set each expression equal to 0. In this case, there are two expressions being multiplied. Thus, you must set
Compare your answer with the correct one above
Solve for 
:
Solve for
Simplify the equation to get 
. Simplify further to get 
, which then gives you 
.
Simplify the equation to get
Compare your answer with the correct one above
Solve for 
.
Solve for
Multiply the terms in parentheses using the distributive property.
Then, combine like terms on both sides of the equation.
Then, put the 
terms on the left and the integers on the right:
Divide both sides by two to isolate 
.
Multiply the terms in parentheses using the distributive property.
Then, combine like terms on both sides of the equation.
Then, put the
Divide both sides by two to isolate
Compare your answer with the correct one above
Solve for 
.
Solve for
Add 8 to both sides.
Simplify.
Add 8 to both sides.
Simplify.
Compare your answer with the correct one above
Solve for 
Solve for
Solve by isolating 
on one side of the equation by itself
Multiply each side of equation by 11
Solve by isolating
Multiply each side of equation by 11
Compare your answer with the correct one above
Solve for 
:
Solve for
Since both sides of the equation have 
, you can eliminate both from the equation with the knowledge that they would cancel each other out. This gives you the shorter equation of
.
Add 
to both sides to get
.
Finally, divide both sides by 
to get 
.
Since both sides of the equation have
Add
Finally, divide both sides by
Compare your answer with the correct one above
Solve the equation for 
.
Solve the equation for
Isolate 
by subtracting 14 from each side of the equation.
6 minus 14 is negative 8, so 
.
Isolate
6 minus 14 is negative 8, so
Compare your answer with the correct one above