Is a Value a Solution to an Equation

When x = 5 in the equation
x + 7 = 15
(5) + 7 = 15
12 = 15
TRUE OR FALSE?

• TRUE

• FALSE

When x = 16 in the equation
2x - 4 = 32
2(  ) - 4 = 32
IS IT TRUE OR FALSE?

• TRUE

• FALSE

Find the solution to the equation:
^{6n + 5(2n - 6) = 6n - 30}

• n = 0

• n = 8

• Many Possible Solutions

• No Possible Solutions

Find the solution to the equation:
^{25 - 5a = -5( a - 4)}

• a = 0

• a = 10

• No Possible Solution

• Many Possible Solutions

Find the solution to the equation:
2(5b - 3) = 6b + 6

• b = 12

• b = 3

• b = (-7)

• No Possible Solutions

9x + 7 − 5x = 4x − 7

• x = 7

• x = -7

• infinitely many solutions

• no solutions

14 - 2 ( 3p + 1) = 6 ( 4 + p)

• No Solution

• One Solution

• Infinite Solutions

What makes an answer a solution to a problem (in math)?

• In chemistry, a solution is a special type of homogeneous mixture composed of two or more substances.

• A value or set of values for the unknown variables that make the equation true.

• A value or set of values for the unknown variables that make the equation false.

Select the hot spot that marks the solution to this system of equations.

Is 6.8 a possible solution for p ≤ 7 ?

• Yes

• No