Question

identify the number of terms, and then the terms themselves, for each algebraic expression. use choice \space not needed\ for any empty boxes. examples: 2m - 7 has 2 terms: 2m and -7 4k - 3x + 10 has 3 terms: 4k, -3x, and +10 a. 6y + 14 number of terms: terms: b. 7x - 3y + 12z number of terms: terms: c. 104a + 224b number of terms: terms: choices: 2, 3, 4, 14, 104a, 224b, 7x, 3y, 6y, space not needed, 12z

Explanation:

For Option A: \( 6y + 14 \)

Step 1: Identify terms

Terms are separated by addition or subtraction. In \( 6y + 14 \), the terms are \( 6y \) and \( 14 \).

Step 2: Count terms

There are 2 terms.

Number of terms: 2

Terms: \( 6y \), \( 14 \)

For Option B: \( 7x - 3y + 12z \)

Step 1: Identify terms

Terms are separated by addition or subtraction. In \( 7x - 3y + 12z \), the terms are \( 7x \), \( -3y \) (or \( 3y \) with a negative sign), and \( 12z \).

Step 2: Count terms

There are 3 terms.

Number of terms: 3

Terms: \( 7x \), \( 3y \), \( 12z \)

For Option C: \( 104a + 224b \)

Step 1: Identify terms

Terms are separated by addition or subtraction. In \( 104a + 224b \), the terms are \( 104a \) and \( 224b \).

Step 2: Count terms

There are 2 terms.

Number of terms: 2

Terms: \( 104a \), \( 224b \)

Answer:

Step 1: Identify terms

Terms are separated by addition or subtraction. In \( 104a + 224b \), the terms are \( 104a \) and \( 224b \).

Step 2: Count terms

There are 2 terms.

Number of terms: 2

Terms: \( 104a \), \( 224b \)