MPT Algebra 1 — Questions and Answers
Question 1: Solve for x: 2x + 5 = 15
- 10
- 5 (Correct answer)
- 7
- 15
Correct answer: 5
To solve for x, subtract 5 from both sides of the equation: <br> 2x + 5 - 5 = 15 - 5, so 2x = 10. <br> Now, divide both sides by 2: <br> 2x ÷ 2 = 10 ÷ 2, so x = 5.
Question 2: What is the value of x in the equation 4x - 3 = 9?
- 3 (Correct answer)
- 12
- 6
- 4
Correct answer: 3
Add 3 to both sides of the equation: <br> 4x - 3 + 3 = 9 + 3, so 4x = 12. <br> Now, divide both sides by 4: <br> 4x ÷ 4 = 12 ÷ 4, so x = 3.
Question 3: Simplify the expression: 3x + 4x - 5
- 7x - 5 (Correct answer)
- 5x - 5
- 3x - 5
- 7x + 5
Correct answer: 7x - 5
Combine like terms: <br> 3x + 4x = 7x, so the simplified expression is 7x - 5.
Question 4: Solve for y: 2y - 7 = 3y + 4
- -11
- 11
- -4 (Correct answer)
- 4
Correct answer: -4
First, subtract 2y from both sides: <br> 2y - 7 - 2y = 3y + 4 - 2y, so -7 = y + 4. <br> Next, subtract 4 from both sides: <br> -7 - 4 = y + 4 - 4, so y = -11.
Question 5: Which of the following is a solution to the equation x² - 4 = 0?
- x = -2
- x = 2
- x = ±2 (Correct answer)
- x = 4
Correct answer: x = ±2
To solve x² - 4 = 0, add 4 to both sides: x² = 4. <br> Now, take the square root of both sides: <br> x = ±√4, so x = ±2.
MPT Algebra 1
Solve for x: 2x + 5 = 15