Q. Solve for x: 5x + 3 = 2x + 12.
-
A.
x = 3
-
B.
x = 4
-
C.
x = 5
-
D.
x = 6
Solution
First, subtract 2x from both sides: 3x + 3 = 12. Then subtract 3: 3x = 9. Finally, divide by 3: x = 3.
Correct Answer:
B
— x = 4
Learn More →
Q. Solve for x: 6x + 2 = 20.
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Step 1: Subtract 2 from both sides: 6x = 18. Step 2: Divide both sides by 6: x = 3.
Correct Answer:
B
— x = 3
Learn More →
Q. Solve for x: 7 - 2x = 1
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Subtract 7 from both sides: -2x = -6. Divide by -2: x = 3.
Correct Answer:
A
— x = 2
Learn More →
Q. Solve for x: 7 - 3x = 1
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Step 1: Subtract 7 from both sides: -3x = -6. Step 2: Divide by -3: x = 2.
Correct Answer:
A
— x = 2
Learn More →
Q. Solve for x: 7x + 1 = 22.
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Step 1: Subtract 1 from both sides: 7x = 21. Step 2: Divide both sides by 7: x = 3.
Correct Answer:
D
— x = 5
Learn More →
Q. Solve for x: 7x + 2 = 23
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Step 1: Subtract 2 from both sides: 7x = 21. Step 2: Divide both sides by 7: x = 3.
Correct Answer:
C
— x = 4
Learn More →
Q. Solve for x: 7x - 2 = 5x + 10
-
A.
x = 4
-
B.
x = 6
-
C.
x = 8
-
D.
x = 10
Solution
Step 1: Subtract 5x from both sides: 2x - 2 = 10. Step 2: Add 2 to both sides: 2x = 12. Step 3: Divide by 2: x = 6.
Correct Answer:
A
— x = 4
Learn More →
Q. Solve for x: 7x - 2 = 5x + 6
-
A.
x = 1
-
B.
x = 2
-
C.
x = 3
-
D.
x = 4
Solution
Step 1: Subtract 5x from both sides: 2x - 2 = 6. Step 2: Add 2 to both sides: 2x = 8. Step 3: Divide by 2: x = 4.
Correct Answer:
B
— x = 2
Learn More →
Q. Solve for x: 7x - 4 = 24
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Step 1: Add 4 to both sides: 7x = 28. Step 2: Divide by 7: x = 4.
Correct Answer:
D
— x = 5
Learn More →
Q. Solve for x: 8 - 3x = 2.
-
A.
x = 1
-
B.
x = 2
-
C.
x = 3
-
D.
x = 4
Solution
Step 1: Subtract 8 from both sides: -3x = -6. Step 2: Divide both sides by -3: x = 2.
Correct Answer:
B
— x = 2
Learn More →
Q. Solve for x: 9x + 1 = 28.
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Step 1: Subtract 1 from both sides: 9x = 27. Step 2: Divide both sides by 9: x = 3.
Correct Answer:
B
— x = 3
Learn More →
Q. Solve for x: cos(x) = 0.5, where 0 ≤ x < 360°.
-
A.
60°
-
B.
120°
-
C.
240°
-
D.
300°
Solution
cos(x) = 0.5 gives x = 60° and 300°.
Correct Answer:
A
— 60°
Learn More →
Q. Solve for x: x/4 + 5 = 8
-
A.
x = 12
-
B.
x = 16
-
C.
x = 20
-
D.
x = 24
Solution
Step 1: Subtract 5 from both sides: x/4 = 3. Step 2: Multiply both sides by 4: x = 12.
Correct Answer:
B
— x = 16
Learn More →
Q. Solve for x: x/4 + 5 = 9
-
A.
x = 12
-
B.
x = 16
-
C.
x = 20
-
D.
x = 24
Solution
Subtract 5 from both sides: x/4 = 4. Multiply by 4: x = 16.
Correct Answer:
B
— x = 16
Learn More →
Q. Solve for x: x/4 - 2 = 1
-
A.
x = 8
-
B.
x = 12
-
C.
x = 16
-
D.
x = 20
Solution
Add 2 to both sides: x/4 = 3. Multiply by 4: x = 12.
Correct Answer:
A
— x = 8
Learn More →
Q. Solve for x: x^2 + 2x - 8 = 0.
-
A.
x = 2, -4
-
B.
x = -2, 4
-
C.
x = 4, -2
-
D.
x = -4, 2
Solution
Factoring gives (x + 4)(x - 2) = 0. Thus, the solutions are x = -4 and x = 2.
Correct Answer:
C
— x = 4, -2
Learn More →
Q. Solve for x: x^2 + 4x + 4 = 0
-
A.
x = -2
-
B.
x = 2
-
C.
x = 0
-
D.
x = -4
Solution
Factor: (x + 2)(x + 2) = 0. So, x = -2.
Correct Answer:
A
— x = -2
Learn More →
Q. Solve for x: x^2 - 5x + 6 = 0.
Solution
Factor the equation: (x - 2)(x - 3) = 0. Thus, x = 2 or x = 3.
Correct Answer:
B
— 2
Learn More →
Q. Solve for y in the equation 2y - 3 = 7.
Solution
Add 3 to both sides: 2y = 10. Divide by 2: y = 5.
Correct Answer:
C
— 5
Learn More →
Q. Solve for y in the equation 4y - 2 = 10.
Solution
Add 2 to both sides: 4y = 12. Divide by 4: y = 3.
Correct Answer:
B
— 3
Learn More →
Q. Solve for y: 2y - 3 = 7.
Solution
2y - 3 = 7. Add 3 to both sides: 2y = 10. Divide by 2: y = 5.
Correct Answer:
C
— 5
Learn More →
Q. Solve for y: 2y - 4 = 10.
Solution
2y - 4 = 10. Add 4 to both sides: 2y = 14. Divide by 2: y = 7.
Correct Answer:
B
— 7
Learn More →
Q. Solve the equation 2x^2 + 4x - 6 = 0.
-
A.
x = 1, -3
-
B.
x = -1, 3
-
C.
x = 3, -1
-
D.
x = -3, 1
Solution
First, divide the equation by 2: x^2 + 2x - 3 = 0. Factor to (x + 3)(x - 1) = 0. Thus, x = -3 and x = 1.
Correct Answer:
A
— x = 1, -3
Learn More →
Q. Solve the equation 2x^2 - 8 = 0.
-
A.
x = 2
-
B.
x = -2
-
C.
x = 4
-
D.
x = -4
Solution
First, add 8 to both sides: 2x^2 = 8. Then divide by 2: x^2 = 4. Finally, take the square root: x = ±2, so the solutions are x = 2 and x = -2.
Correct Answer:
C
— x = 4
Learn More →
Q. Solve the equation 3x + 7 = 16.
-
A.
x = 3
-
B.
x = 2
-
C.
x = 1
-
D.
x = 4
Solution
To solve 3x + 7 = 16, subtract 7 from both sides: 3x = 9. Then divide by 3: x = 3.
Correct Answer:
A
— x = 3
Learn More →
Q. Solve the equation x^2 + 4x + 4 = 0.
-
A.
x = -2
-
B.
x = 2
-
C.
x = -4
-
D.
x = 0
Solution
This can be factored as (x + 2)(x + 2) = 0. Therefore, x = -2 is a double root.
Correct Answer:
A
— x = -2
Learn More →
Q. Solve the equation: 5x + 3 = 2x + 12
-
A.
x = 3
-
B.
x = 4
-
C.
x = 5
-
D.
x = 6
Solution
Subtract 2x from both sides: 3x + 3 = 12. Then subtract 3: 3x = 9. Finally, divide by 3: x = 3.
Correct Answer:
B
— x = 4
Learn More →
Q. Solve the inequality 2x + 3 > 7.
-
A.
x < 2
-
B.
x > 2
-
C.
x < 3
-
D.
x > 3
Solution
To solve 2x + 3 > 7, subtract 3 from both sides: 2x > 4. Then divide by 2: x > 2.
Correct Answer:
B
— x > 2
Learn More →
Q. Solve 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 both sides by 2: x ≥ 2.
Correct Answer:
A
— x ≥ 2
Learn More →
Q. Solve the inequality 3x + 5 > 2.
-
A.
x > -1
-
B.
x < -1
-
C.
x > 1
-
D.
x < 1
Solution
Subtract 5 from both sides: 3x > -3. Divide by 3: x > -1.
Correct Answer:
A
— x > -1
Learn More →
Showing 1381 to 1410 of 2594 (87 Pages)
