Question

Match the pairs of equivalent expressions:

70 - 22
5(2 + 1) + (-7t + 28)
(fe + 3) + (+33)
-c + 36
3(3 - 4) - (20 + 10)
3t + 33
a. 48, 12, 36, -c + 36, -30, 3t + 33
b. 48, 15, 36, -c + 36, -30, 3t + 33
c. 48, 15, 36, c + 36, -30, 3t + 33
d. 48, 12, 36, c + 36, -30, 3t + 33

Answer 1

The task involves matching expressions to their equivalents, with some expressions clearly matching given options and others not, due to potential mismatches or lack of information.

Step-by-step explanation:

The student is asking to match the expressions to their equivalent numerical or algebraic expressions. Here's how you match them:

1. 70 - 22 is 48, so it matches with letter a. 48.
2. 5(2 + 1) + (-7t + 28) simplifies to 15 + (-7t + 28), which is 15 and -7t + 43. The first part matches letter b. 15, but the second part does not have a match.
3. (fe + 3) + (+33) simplifies to fe + 36, which does not have a match because the options include -c or c with 36, not fe.
4. -c + 36 matches with letter d. -c + 36.
5. 3(3 - 4) simplifies to -3, and when subtracted from -30 gives us -33, which is not listed. Thus, it does not match with letter e. -30.
6. 3t + 33 matches with letter f. 3t + 33.