For 5x + 2y + 6, list terms, coefficients, and the constant.
Terms 5x, 2y, 6; coefficients 5, 2; constant 6
Terms are separated by addition; coefficients multiply variables.
Day 081Parts of an Expression
Standards 6.EE.A.2b
LEARNING TARGET
I can name terms, coefficients, factors, and grouped parts.
01 · LEARN
Build the idea
Addition and subtraction separate terms. A coefficient multiplies a variable; a constant has no variable. A parenthesized sum can be one factor of a larger product, so describe both the inside and the whole expression.
In 6(x + 7), identify the outer operation, both factors, and the operation inside the grouped factor.
Outer product; factors 6 and (x + 7); inner sum
The complete sum (x + 7) is one factor multiplied by 6.
02 · PRACTICE
Your turn
Work in order. Start with the foundations, then build toward explanation and application.
For 7x + 5y + 3, list terms, coefficients, and the constant.
For 4x + 4y + 6, list terms, coefficients, and the constant.
For (2x + 3) ÷ 2, name the outer operation, the dividend as a single entity, and the divisor. Identify the sum inside the parentheses.
For 3x + 4y + 3, list terms, coefficients, and the constant.
For (2x + 2) ÷ 5, name the outer operation, the dividend as a single entity, and the divisor. Identify the sum inside the parentheses.
For 2x + 6y + 4, list terms, coefficients, and the constant.
For (5x + 6) ÷ 5, name the outer operation, the dividend as a single entity, and the divisor. Identify the sum inside the parentheses.
In 5(x + 3), identify the outer operation, both factors, and the operation inside the grouped factor.
In 3(x + 5), identify the outer operation, both factors, and the operation inside the grouped factor.
In 7(x + 6), identify the outer operation, both factors, and the operation inside the grouped factor.
03 · CHECK
Answers and reasoning
Reveal the teacher answer key
- Terms 7x, 5y, 3; coefficients 7, 5; constant 3
Terms are separated by addition; coefficients multiply variables.
- Terms 4x, 4y, 6; coefficients 4, 4; constant 6
Terms are separated by addition; coefficients multiply variables.
- Outer quotient; dividend (2x + 3); divisor 2; inner sum 2x + 3
The grouped sum is one complete quantity being divided. Within it, the terms are 2x and 3.
- Terms 3x, 4y, 3; coefficients 3, 4; constant 3
Terms are separated by addition; coefficients multiply variables.
- Outer quotient; dividend (2x + 2); divisor 5; inner sum 2x + 2
The grouped sum is one complete quantity being divided. Within it, the terms are 2x and 2.
- Terms 2x, 6y, 4; coefficients 2, 6; constant 4
Terms are separated by addition; coefficients multiply variables.
- Outer quotient; dividend (5x + 6); divisor 5; inner sum 5x + 6
The grouped sum is one complete quantity being divided. Within it, the terms are 5x and 6.
- Outer product; factors 5 and (x + 3); inner sum
The complete sum (x + 3) is one factor multiplied by 5.
- Outer product; factors 3 and (x + 5); inner sum
The complete sum (x + 5) is one factor multiplied by 3.
- Outer product; factors 7 and (x + 6); inner sum
The complete sum (x + 6) is one factor multiplied by 7.