Question

For each equation, tell whether it is always, sometimes, or never true. Explain your reasoning by showing your steps or using words.

a) 5 + 22 = 4
b) 2^2 = x + 2
c) 5x + 7 = 5x ^2
d) 4x + 3 = 15

Answer 1

The first equation is never true, the second equation is sometimes true, the third equation is sometimes true, and the fourth equation is sometimes true.

Step-by-step explanation:

The first equation, 5 + 22 = 4, is never true because the sum of 5 and 22 is 27, not 4.

The second equation, 2^2 = x + 2, is sometimes true. When x is equal to 2, the equation is true because 2^2 does equal 2 + 2. But for any other value of x, the equation is not true.

The third equation, 5x + 7 = 5x ^2, is sometimes true. If x is equal to 0, the equation is true because 0 + 7 is equal to 0^2. But for any other value of x, the equation is not true.

The fourth equation, 4x + 3 = 15, is sometimes true. When x is equal to 3, the equation is true because 4(3) + 3 is equal to 15. But for any other value of x, the equation is not true.