Algebraic Expressions — Practice Problems and Worked Solutions

The formulas you need here

16 worked problems

Every step is generated and checked by a computer algebra system.

1. 1.

   Simplify the algebraic expression.

   $$5x$$

   Answer: $5x$

   Step-by-step solution

   1. $$\text{Distribute multiplication across parentheses first.}$$
   2. $$\text{Combine only like terms.}$$
   3. $$=5x$$
2. 2.

   Simplify the algebraic expression.

   $$2x+8$$

   Answer: $2x+8$

   Step-by-step solution

   1. $$\text{Distribute multiplication across parentheses first.}$$
   2. $$\text{Combine only like terms.}$$
   3. $$=2x+8$$
3. 3.

   Simplify the algebraic expression.

   $$3x+6$$

   Answer: $3x+6$

   Step-by-step solution

   1. $$\text{Distribute multiplication across parentheses first.}$$
   2. $$\text{Combine only like terms.}$$
   3. $$=3x+6$$
4. 4.

   Simplify the algebraic expression.

   $$3x-6$$

   Answer: $3x-6$

   Step-by-step solution

   1. $$\text{Distribute multiplication across parentheses first.}$$
   2. $$\text{Combine only like terms.}$$
   3. $$=3x-6$$
5. 5.

   Simplify the algebraic expression.

   $$7-6x$$

   Answer: $7-6x$

   Step-by-step solution

   1. $$\text{Distribute multiplication across parentheses first.}$$
   2. $$\text{Combine only like terms.}$$
   3. $$=7-6x$$
6. 6.

   Simplify the algebraic expression.

   $$8-x$$

   Answer: $8-x$

   Step-by-step solution

   1. $$\text{Distribute multiplication across parentheses first.}$$
   2. $$\text{Combine only like terms.}$$
   3. $$=8-x$$
7. 7.

   Simplify the algebraic expression.

   $$8x$$

   Answer: $8x$

   Step-by-step solution

   1. $$\text{Distribute multiplication across parentheses first.}$$
   2. $$\text{Combine only like terms.}$$
   3. $$=8x$$
8. 8.

   Simplify the algebraic expression.

   $$3x+9$$

   Answer: $3x+9$

   Step-by-step solution

   1. $$\text{Distribute multiplication across parentheses first.}$$
   2. $$\text{Combine only like terms.}$$
   3. $$=3x+9$$
9. 9.

   Simplify the algebraic expression.

   $$4x+12$$

   Answer: $4x+12$

   Step-by-step solution

   1. $$\text{Distribute multiplication across parentheses first.}$$
   2. $$\text{Combine only like terms.}$$
   3. $$=4x+12$$
10. 10.

    Simplify the algebraic expression.

    $$5x-6$$

    Answer: $5x-6$

    Step-by-step solution

    1. $$\text{Distribute multiplication across parentheses first.}$$
    2. $$\text{Combine only like terms.}$$
    3. $$=5x-6$$
11. 11.

    Simplify the algebraic expression.

    $$10-6x$$

    Answer: $10-6x$

    Step-by-step solution

    1. $$\text{Distribute multiplication across parentheses first.}$$
    2. $$\text{Combine only like terms.}$$
    3. $$=10-6x$$
12. 12.

    Simplify the algebraic expression.

    $$x+8$$

    Answer: $x+8$

    Step-by-step solution

    1. $$\text{Distribute multiplication across parentheses first.}$$
    2. $$\text{Combine only like terms.}$$
    3. $$=x+8$$
13. 13.

    Simplify the algebraic expression.

    $$4x$$

    Answer: $4x$

    Step-by-step solution

    1. $$\text{Distribute multiplication across parentheses first.}$$
    2. $$\text{Combine only like terms.}$$
    3. $$=4x$$
14. 14.

    Simplify the algebraic expression.

    $$5x-2$$

    Answer: $5x-2$

    Step-by-step solution

    1. $$\text{Distribute multiplication across parentheses first.}$$
    2. $$\text{Combine only like terms.}$$
    3. $$=5x-2$$
15. 15.

    Simplify the algebraic expression.

    $$-2x$$

    Answer: $-2x$

    Step-by-step solution

    1. $$\text{Distribute multiplication across parentheses first.}$$
    2. $$\text{Combine only like terms.}$$
    3. $$=-2x$$
16. 16.

    Simplify the algebraic expression.

    $$5x+4$$

    Answer: $5x+4$

    Step-by-step solution

    1. $$\text{Distribute multiplication across parentheses first.}$$
    2. $$\text{Combine only like terms.}$$
    3. $$=5x+4$$

More from Math Foundations

• Order of Operations
• Signed Numbers
• Fraction Sense
• Ratios and Percentages
• Exponents and Roots
• Linear Equations
• Polynomial Basics
• Inequalities
• Coordinate Plane
• Reading Graphs
• Function Machines
• Substitution
• Factoring Basics