Checking Solutions to Equations

Front

What is a solution to an equation?

Back

A solution to an equation is a value that, when substituted for the variable, makes the equation true.

Front

How do you check if a number is a solution to an equation?

Back

To check if a number is a solution, substitute the number into the equation and see if both sides are equal.

Tags

CCSS.6.EE.B.5

Front

What does it mean if substituting a number into an equation results in a false statement?

Back

It means that the number is not a solution to the equation.

Tags

CCSS.6.EE.B.5

Front

What is the equation for checking if n=10 is a solution?

Back

n + 5 = 2n.

Tags

CCSS.6.EE.B.5

Front

Is n=10 a solution of the equation n + 5 = 2n?

Back

No, because substituting n=10 gives 10 + 5 = 2(10) which simplifies to 15 = 20, a false statement.

Tags

CCSS.6.EE.B.5

Front

What is the equation for checking if z=-3 is a solution?

Back

2z + 6 = 0.

Tags

CCSS.6.EE.B.5

Front

Is z=-3 a solution to the equation 2z + 6 = 0?

Back

Yes, because substituting z=-3 gives 2(-3) + 6 = 0, which simplifies to 0 = 0, a true statement.

Tags

CCSS.6.EE.B.5

Front

What is the equation for checking if x=7 is a solution?

Back

5x - 10 = 25.

Tags

CCSS.6.EE.B.5

Front

Is x=7 a solution to the equation 5x - 10 = 25?

Back

Yes, because substituting x=7 gives 5(7) - 10 = 25, which simplifies to 25 = 25, a true statement.

Tags

CCSS.6.EE.B.5

Front

What is the equation for checking if x=10 is a solution?

Back

4 - 4(x + 1) = 0.

Tags

CCSS.6.EE.B.5