Basic Algebra Worksheets with Answers

If you're a student or teacher searching for reliable worksheets to reinforce your understanding of basic algebra concepts, you've come to the right place. In this blog post, we will explore a collection of carefully crafted worksheets that cover a range of essential topics in algebra. Whether you are tackling equations, variables, or functions, these worksheets have you covered with their clear instructions and included answer keys. Get ready to enhance your algebra skills with our comprehensive set of worksheets.

  Simple Algebra Worksheet

---

  Algebra Math Worksheets Printable

---

  Elementary Algebra Worksheets

---

  Solving Algebra Equations Worksheets

---

  Algebra Factoring Polynomials Worksheets with Answers

---

  Free Printable Algebra 1 Worksheets

---

  Algebra Math Worksheets Printable

---

  High School Algebra Worksheets

---

  Algebra Math Worksheets Printable

---

  Pre-Algebra Equations Worksheets

---

  Distributive Property Math Algebra Worksheets

---

  Distributive Property Math Algebra Worksheets

---

  Free Addition and Subtraction Worksheet

---

Simplify the expression: 3x + 5y - 2x + 4y.

The simplified expression is x + 9y.

Solve the equation: 2x + 6 = 10.

To solve the equation 2x + 6 = 10, first subtract 6 from both sides to isolate the variable: 2x = 4. Then, divide both sides by 2 to solve for x: x = 2.

Evaluate the expression for x = 2: 3x² - 5x + 2.

When x = 2, the expression 3x² - 5x + 2 evaluates to 3(2)² - 5(2) + 2 = 3(4) - 10 + 2 = 12 - 10 + 2 = 4. Therefore, the value of the expression for x = 2 is 4.

Factorize the expression: 2x² + 5x + 3.

To factorize the expression 2x² + 5x + 3, we need to break it down into two binomials. By factoring, we get (2x + 3)(x + 1).

Solve the inequality: 3x - 7 < 4x + 5.

To solve the inequality 3x - 7 < 4x + 5, we first need to isolate the variable x. By subtracting 3x from both sides, we get -7 < x + 5. Then, subtracting 5 from both sides gives us -12 < x. Therefore, the solution to the inequality is x > -12.

Simplify the expression: (2x + 3)².

The simplified expression is 4x² + 12x + 9.

Solve the equation: 3(x - 5) = 15.

To solve the equation 3(x - 5) = 15, first distribute the 3 to both terms inside the parentheses: 3x - 15 = 15. Then, add 15 to both sides to isolate the variable term: 3x = 30. Finally, divide by 3 to solve for x, yielding x = 10.

Evaluate the expression for x = -4: 2(3x + 1) - 5x.

Substitute x = -4 into the expression: 2(3*(-4) + 1) - 5*(-4). Simplifying this gives 2(-12 + 1) + 20 = 2(-11) + 20 = -22 + 20 = -2. Therefore, the value of the expression when x = -4 is -2.

Solve the system of equations: 2x + y = 5 and 3x - 2y = 8.

To solve the system of equations 2x + y = 5 and 3x - 2y = 8, we can first multiply the first equation by 2 to eliminate y. This gives us 4x + 2y = 10. We can then add this modified first equation to the second equation to eliminate y, which results in 7x = 18. Dividing by 7, we find x = 18/7. Substituting this value of x back into the first equation, we get 2(18/7) + y = 5, which simplifies to y = -1/7. Therefore, the solution to the system of equations is x = 18/7 and y = -1/7.

Simplify the expression: (x + 3)(x - 2) + (x - 1)(2x + 1).

To simplify the expression (x + 3)(x - 2) + (x - 1)(2x + 1), first expand each term using the distributive property. This will simplify to x^2 + x - 6 + 2x^2 + x - 1. Combine like terms to get the final simplified form: 3x^2 + 2x - 7.