Question

For the equation 2x=8, complete the given ordered pairs.

a) (4, 8)
b) (2, 4)
c) (8, 16)
d) (1, 2)

Answer 1

Each given ordered pair correctly represents a solution to the equation 2x=8, with the first number being x and the second being the product of 2 times x.

Step-by-step explanation:

The equation 2x=8 represents a linear relationship where for every value of x there is a corresponding value of y such that y equals 2x. To complete the given ordered pairs, we can substitute the first element of each pair into the equation and determine if the second matches the output when the function y=2x is applied.

• a) (4, 8) - Substituting x=4 into the equation gives 2(4)=8, which matches the second element of the pair, so this pair is correct.
• b) (2, 4) - Substituting x=2 gives 2(2)=4, which also matches the second element, so this pair is correct.
• c) (8, 16) - Substituting x=8 gives 2(8)=16, which matches the second element, thus this pair is correct.
• d) (1, 2) - Substituting x=1 gives 2(1)=2, which matches the second element, so this pair is correct as well.

All the given ordered pairs are correct solutions to the equation 2x=8.