All Common Core: 8th Grade Math Resources
Example Questions
Example Question #1 : How To Find Out When An Equation Has No Solution
Solve the equation:
No solution
No solution
Notice that the end value is a negative. Any negative or positive value that is inside an absolute value sign must result to a positive value.
If we split the equation to its positive and negative solutions, we have:
Solve the first equation.
The answer to is:
Solve the second equation.
The answer to is:
If we substitute these two solutions back to the original equation, the results are positive answers and can never be equal to negative one.
The answer is no solution.
Example Question #1 : Give Examples Of Linear Equations: Ccss.Math.Content.8.Ee.C.7a
Select the option that describes the solution(s) for the following equation:
Infinitely many solutions
No solution
One solution
No solution
Let's begin by discussing our answer choices:
In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example,
In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example,
In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example,
To answer this question, we can solve the equation:
This equation equals a false statement; thus, the correct answer is no solution.
Example Question #2 : Give Examples Of Linear Equations: Ccss.Math.Content.8.Ee.C.7a
Select the option that describes the solution(s) for the following equation:
Infinitely many solutions
No solution
One solution
No solution
Let's begin by discussing our answer choices:
In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example,
In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example,
In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example,
To answer this question, we can solve the equation:
This equation equals a false statement; thus, the correct answer is no solution.
Example Question #3 : Give Examples Of Linear Equations: Ccss.Math.Content.8.Ee.C.7a
Select the option that describes the solution(s) for the following equation:
Infinitely many solutions
One solution
No solution
No solution
Let's begin by discussing our answer choices:
In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example,
In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example,
In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example,
To answer this question, we can solve the equation:
This equation equals a false statement; thus, the correct answer is no solution.
Example Question #4 : Give Examples Of Linear Equations: Ccss.Math.Content.8.Ee.C.7a
Select the option that describes the solution(s) for the following equation:
Infinitely many solutions
One solution
No solution
No solution
Let's begin by discussing our answer choices:
In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example,
In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example,
In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example,
To answer this question, we can solve the equation:
This equation equals a false statement; thus, the correct answer is no solution.
Example Question #3 : Give Examples Of Linear Equations: Ccss.Math.Content.8.Ee.C.7a
Select the option that describes the solution(s) for the following equation:
Infinitely many solutions
No solution
One solution
Infinitely many solutions
Let's begin by discussing our answer choices:
In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example,
In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example,
In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example,
To answer this question, we can solve the equation:
This equation equals a statement that is always true; thus, the correct answer is infinitely many solutions.
Example Question #161 : Grade 8
Select the option that describes the solution(s) for the following equation:
Infinitely many solutions
No solution
One solution
Infinitely many solutions
Let's begin by discussing our answer choices:
In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example,
In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example,
In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example,
To answer this question, we can solve the equation:
This equation equals a statement that is always true; thus, the correct answer is infinitely many solutions.
Example Question #162 : Grade 8
Select the option that describes the solution(s) for the following equation:
One solution
No solution
Infinitely many solutions
Infinitely many solutions
Let's begin by discussing our answer choices:
In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example,
In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example,
In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example,
To answer this question, we can solve the equation:
This equation equals a statement that is always true; thus, the correct answer is infinitely many solutions.
Example Question #163 : Grade 8
Select the option that describes the solution(s) for the following equation:
One solution
No solution
Infinitely many solutions
One solution
Let's begin by discussing our answer choices:
In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example,
In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example,
In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example,
To answer this question, we can solve the equation:
This equation equals a single value; thus, the correct answer is one solution.
Example Question #164 : Grade 8
Select the option that describes the solution(s) for the following equation:
One solution
Infinitely many solutions
No solution
One solution
Let's begin by discussing our answer choices:
In order for an equation to have no solution, the equation, when solved, must equal a false statement; for example,
In order for an equation to have one solution, the equation, when solved for a variable, but equal a single value; for example,
In order for an equation to have infinitely many solutions, the equation, when solved, must equal a statement that is always true; for example,
To answer this question, we can solve the equation:
This equation equals a single value; thus, the correct answer is one solution.