Q. Solve for x: 5(x - 1) = 3x + 7.
-
A.
x = 6
-
B.
x = 5
-
C.
x = 4
-
D.
x = 3
Solution
Step 1: Distribute: 5x - 5 = 3x + 7. Step 2: Subtract 3x from both sides: 2x - 5 = 7. Step 3: Add 5 to both sides: 2x = 12. Step 4: Divide by 2: x = 6.
Correct Answer:
A
— x = 6
Learn More →
Q. What is the product of the roots of the quadratic equation x^2 + 6x + 8 = 0?
Solution
Step 1: Use the formula c/a. Step 2: Here, c = 8 and a = 1. Step 3: Product of roots = 8.
Correct Answer:
A
— 8
Learn More →
Q. What is the simplified form of the expression (x^2 - 1)/(x - 1)?
-
A.
x + 1
-
B.
x - 1
-
C.
x^2 + 1
-
D.
x^2 - 1
Solution
Step 1: Factor the numerator: (x - 1)(x + 1)/(x - 1). Step 2: Cancel (x - 1): x + 1.
Correct Answer:
A
— x + 1
Learn More →
Q. What is the simplified form of the expression 3(x + 2) - 2(x - 1)?
-
A.
x + 8
-
B.
x + 7
-
C.
x + 6
-
D.
x + 5
Solution
Step 1: Distribute: 3x + 6 - 2x + 2. Step 2: Combine like terms: (3x - 2x) + (6 + 2) = x + 8.
Correct Answer:
B
— x + 7
Learn More →
Q. What is the simplified form of the expression 3x^2 - 2x + 4x^2 - 5?
-
A.
7x^2 - 5
-
B.
x^2 - 5
-
C.
x^2 + 5
-
D.
7x^2 + 5
Solution
Step 1: Combine like terms: (3x^2 + 4x^2) + (-2x) - 5 = 7x^2 - 5.
Correct Answer:
A
— 7x^2 - 5
Learn More →
Q. What is the solution to the equation 4x - 1 = 3x + 2?
-
A.
x = 1
-
B.
x = 2
-
C.
x = 3
-
D.
x = 4
Solution
Step 1: Subtract 3x from both sides: x - 1 = 2. Step 2: Add 1 to both sides: x = 3.
Correct Answer:
A
— x = 1
Learn More →
Q. What is the solution to the equation 4x - 7 = 5x + 2?
-
A.
x = -9
-
B.
x = 9
-
C.
x = -1
-
D.
x = 1
Solution
Step 1: Subtract 4x from both sides: -7 = x + 2. Step 2: Subtract 2 from both sides: -9 = x. Step 3: x = -9.
Correct Answer:
C
— x = -1
Learn More →
Q. What is the value of x in the inequality 3x - 4 < 5?
-
A.
x < 3
-
B.
x < 2
-
C.
x > 3
-
D.
x > 2
Solution
Step 1: Add 4 to both sides: 3x < 9. Step 2: Divide both sides by 3: x < 3.
Correct Answer:
B
— x < 2
Learn More →
Q. Which of the following represents the solution set for the inequality 2x + 3 > 7?
-
A.
x < 2
-
B.
x > 2
-
C.
x < 3
-
D.
x > 3
Solution
Step 1: Subtract 3 from both sides: 2x > 4. Step 2: Divide by 2: x > 2.
Correct Answer:
B
— x > 2
Learn More →
Q. Which of the following represents the solution set for the inequality 2x + 5 > 3?
-
A.
x > -1
-
B.
x < -1
-
C.
x > 1
-
D.
x < 1
Solution
Step 1: Subtract 5 from both sides: 2x > -2. Step 2: Divide by 2: x > -1.
Correct Answer:
A
— x > -1
Learn More →
Q. Which of the following represents the solution set for the inequality x + 5 > 2?
-
A.
x > -3
-
B.
x < -3
-
C.
x > 7
-
D.
x < 7
Solution
Step 1: Subtract 5 from both sides: x > -3.
Correct Answer:
A
— x > -3
Learn More →
Showing 1 to 11 of 11 (1 Pages)
