Step by step
The question
Question: name the terms, the coefficients and the constant of 3x + 5y − 7.
3x + 5y − 7
1 Split into terms
Terms are the parts between the + and − signs.
Each sign stays with the term after it.
So the terms are 3x, 5y and −7.
= terms: 3x, 5y, −7
Careful!
The minus sign goes with the term.
It is −7, not 7.
Careful: not constant 7 ✗
2 Name each part
A coefficient is the number in front of a letter: 3 for x and 5 for y.
A constant has no letter: −7.
= coefficients: 3, 5 constant: −7
3 Check
Let's check: put the terms back together.
3x plus 5y plus −7.
Adding a negative is taking away.
We get 3x + 5y − 7 again.
So the answer is right!
3x + 5y + (−7) = 3x + 5y − 7
Let's look back.
First: split into terms.
Then: name each part.
Last: check.
Answer
= coefficients: 3, 5 constant: −7