MPT Algebra

Question 1

Solve for x: 2x + 5 = 15

Accepted Answer

5

Answer

To solve for x, subtract 5 from both sides of the equation:
2x + 5 - 5 = 15 - 5, so 2x = 10.
Now, divide both sides by 2:
2x ÷ 2 = 10 ÷ 2, so x = 5.

Question 2

What is the value of x in the equation 4x - 3 = 9?

Accepted Answer

3

Answer

Add 3 to both sides of the equation:
4x - 3 + 3 = 9 + 3, so 4x = 12.
Now, divide both sides by 4:
4x ÷ 4 = 12 ÷ 4, so x = 3.

Question 3

Simplify the expression: 3x + 4x - 5

Accepted Answer

7x - 5

Answer

Combine like terms:
3x + 4x = 7x, so the simplified expression is 7x - 5.

Question 4

Solve for y: 2y - 7 = 3y + 4

Accepted Answer

-4

Answer

First, subtract 2y from both sides:
2y - 7 - 2y = 3y + 4 - 2y, so -7 = y + 4.
Next, subtract 4 from both sides:
-7 - 4 = y + 4 - 4, so y = -11.

Question 5

Which of the following is a solution to the equation x² - 4 = 0?

Accepted Answer

x = ±2

Answer

To solve x² - 4 = 0, add 4 to both sides: x² = 4.
Now, take the square root of both sides:
x = ±√4, so x = ±2.

(MPT) UCF Math Placement Test Practice Test