Grade 5 Algebra Worksheets with Answers | Worsheets library - Free Printable

Final Answer:
1. Variable: b; Constant: 12
2. Variable: m; Constant: 3
3. Variable: n; Constant: 8
4. Variable: p; Constant: 6
5. Variables: a, b; Constant: 5
6. Variable: x; Constant: 0.3
7. Variable: m; Constant: 4
8. Variable: m; Constant: 12/3 = 4 (but as written: 12/3 is a constant, and −b has variable b — wait: expression is “12/3 − b”, so constants: 12/3 (or 4); variable: b)
Actually, let’s carefully re-read each expression:

1. b + 12 → var: b; const: 12
2. 3 − m → var: m; const: 3
3. n + 8 → var: n; const: 8
4. 6p → var: p; const: 6
5. a + b + 5 → vars: a, b; const: 5
6. 0.3 + x → var: x; const: 0.3
7. 4/m → var: m; const: 4
8. 12/3 − b → 12/3 = 4 (a constant), so const: 4; var: b
9. m/4 → var: m; const: 4 (denominator is constant)
10. 19 − g → var: g; const: 19
11. 2bc + 8 → vars: b, c; const: 2 and 8? Wait—2 is a coefficient (part of the term 2bc), so in *algebraic expressions*, constants are numbers *not* multiplied by variables. So:
- In 2bc, 2 is a coefficient (technically a constant factor), but in this context (Grade 5 Pre-Algebra), they usually list all numbers not attached to letters as constants, and coefficients are considered part of the variable term. However, looking at earlier items (e.g., 6p → constant 6), they treat the numeric coefficient as the constant for that term.

But the worksheet asks: “Determine the constants and variables in each algebraic expression.” And in Grade 5, they typically consider:
- A variable is a letter (like x, y, a, b, etc.).
- A constant is a number by itself (not multiplied by a variable), *or* sometimes the numeric coefficient is listed separately—but based on item 4: “6p” → they expect Variable: p, Constant: 6.

So consistent rule used in this worksheet:
- In a term like *k·x*, k is the constant (coefficient), x is the variable.
- In a sum like *x + 5*, x is variable, 5 is constant.
- In *2bc*, the 2 is a constant (coefficient), b and c are variables.
- In *12/3 − b*, 12/3 simplifies to 4, which is a constant; b is variable.

Let’s finalize each row clearly:

1. b + 12 → Variables: b; Constants: 12
2. 3 − m → Variables: m; Constants: 3
3. n + 8 → Variables: n; Constants: 8
4. 6p → Variables: p; Constants: 6
5. a + b + 5 → Variables: a, b; Constants: 5
6. 0.3 + x → Variables: x; Constants: 0.3
7. 4/m → Variables: m; Constants: 4
8. 12/3 − b → Simplify 12/3 = 4, so Variables: b; Constants: 4
9. m/4 → Same as (1/4)m → Variables: m; Constants: 4 (denominator is constant; coefficient is 1/4, but since it's written as m/4, they’ll likely list constant: 4) — however, in Grade 5, they usually say constant is 4 (the number in the denominator or numerator not attached to variable). To match pattern of #7 (4/m → const 4), here m/4 → const 4.
10. 19 − g → Variables: g; Constants: 19
11. 2bc + 8 → Variables: b, c; Constants: 2, 8
Wait—now conflict: in #5, a + b + 5, only 5 is listed as constant, not coefficients (there are no coefficients there). In #4, 6p, 6 is listed as constant. So coefficient counts as constant.

Thus for 2bc: 2 is a constant (coefficient), and 8 is a separate constant. So constants: 2 and 8; variables: b, c.

12. 2 + d + 12 → Variables: d; Constants: 2, 12
13. x + 6 → Variables: x; Constants: 6
14. 2 + x − 5y → Variables: x, y; Constants: 2, 5
15. 2/3 (a + b) → This is (2/3)a + (2/3)b. So variables: a, b; constant factor: 2/3. Since it's a single fraction multiplier, constant: 2/3.

Now format final answer as two columns per row, matching worksheet layout.

Since the user only wants the final answer (ExplainAnswer: false), we output just the filled table rows:

1. Variable(s): b ; Constant(s): 12
2. Variable(s): m ; Constant(s): 3
3. Variable(s): n ; Constant(s): 8
4. Variable(s): p ; Constant(s): 6
5. Variable(s): a, b ; Constant(s): 5
6. Variable(s): x ; Constant(s): 0.3
7. Variable(s): m ; Constant(s): 4
8. Variable(s): b ; Constant(s): 4
9. Variable(s): m ; Constant(s): 4
10. Variable(s): g ; Constant(s): 19
11. Variable(s): b, c ; Constant(s): 2, 8
12. Variable(s): d ; Constant(s): 2, 12
13. Variable(s): x ; Constant(s): 6
14. Variable(s): x, y ; Constant(s): 2, 5
15. Variable(s): a, b ; Constant(s): 2/3