Q. In triangle XYZ, if XY = 8 cm, XZ = 6 cm, and YZ = 10 cm, which side is the longest?
-
A.
XY
-
B.
XZ
-
C.
YZ
-
D.
All sides are equal
Solution
YZ is the longest side since 10 cm is greater than both 8 cm and 6 cm.
Correct Answer:
C
— YZ
Learn More →
Q. In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, what type of triangle is it?
-
A.
Equilateral
-
B.
Isosceles
-
C.
Scalene
-
D.
Right
Solution
Triangle XYZ has all sides of different lengths (8 cm, 6 cm, 10 cm), so it is a scalene triangle.
Correct Answer:
C
— Scalene
Learn More →
Q. In triangle XYZ, if XY = 8, YZ = 6, and XZ = 10, what type of triangle is it?
-
A.
Equilateral
-
B.
Isosceles
-
C.
Scalene
-
D.
Right
Solution
Triangle XYZ is a right triangle because 8^2 + 6^2 = 10^2.
Correct Answer:
D
— Right
Learn More →
Q. In triangle XYZ, if XY = 8, YZ = 6, and XZ = 10, which side is the longest?
-
A.
XY
-
B.
YZ
-
C.
XZ
-
D.
All sides are equal
Solution
The longest side in triangle XYZ is XZ, which measures 10 units.
Correct Answer:
C
— XZ
Learn More →
Q. Solve for x in the equation 2(x - 3) = 4.
Solution
Divide both sides by 2: x - 3 = 2. Add 3: x = 5.
Correct Answer:
A
— 1
Learn More →
Q. Solve for x in the equation 4(x - 1) = 2(x + 3).
-
A.
x = 5
-
B.
x = 1
-
C.
x = 2
-
D.
x = 3
Solution
Distribute: 4x - 4 = 2x + 6. Subtract 2x from both sides: 2x - 4 = 6. Add 4: 2x = 10. Divide by 2: x = 5.
Correct Answer:
A
— x = 5
Learn More →
Q. Solve for x in the equation 5x^2 + 10x = 0.
-
A.
x = 0, -2
-
B.
x = 2, -2
-
C.
x = 0, 2
-
D.
x = -5, 5
Solution
Factoring gives 5x(x + 2) = 0. Thus, x = 0 or x + 2 = 0, giving x = -2.
Correct Answer:
A
— x = 0, -2
Learn More →
Q. Solve for x in the equation 7x + 2 = 23.
Solution
Subtract 2 from both sides: 7x = 21. Divide by 7: x = 3.
Correct Answer:
C
— 4
Learn More →
Q. Solve for x in the equation x^2 + 4x + 4 = 0.
-
A.
x = -2
-
B.
x = 2
-
C.
x = 0
-
D.
x = -4
Solution
This factors to (x + 2)(x + 2) = 0. Therefore, x = -2.
Correct Answer:
A
— x = -2
Learn More →
Q. Solve for x in the equation x^2 + 6x + 9 = 0.
-
A.
x = -3
-
B.
x = 3
-
C.
x = 0
-
D.
x = -9
Solution
Factor the equation: (x + 3)(x + 3) = 0. Thus, x = -3.
Correct Answer:
A
— x = -3
Learn More →
Q. Solve for x in the equation x^2 - 4 = 0.
-
A.
x = 2, -2
-
B.
x = 4, -4
-
C.
x = 0
-
D.
x = 1, -1
Solution
Factoring gives (x - 2)(x + 2) = 0. Thus, the solutions are x = 2 and x = -2.
Correct Answer:
A
— x = 2, -2
Learn More →
Q. Solve for x: 2(x + 3) = 14
-
A.
x = 4
-
B.
x = 5
-
C.
x = 6
-
D.
x = 7
Solution
Divide by 2: x + 3 = 7. Subtract 3: x = 4.
Correct Answer:
A
— x = 4
Learn More →
Q. Solve for x: 2(x - 3) = 4.
Solution
Distribute: 2x - 6 = 4. Add 6 to both sides: 2x = 10. Divide by 2: x = 5.
Correct Answer:
B
— 2
Learn More →
Q. Solve for x: 2sin(x) = √3, where 0 ≤ x < 360°.
-
A.
30°
-
B.
150°
-
C.
210°
-
D.
330°
Solution
sin(x) = √3/2 gives x = 60° and 120°, so 2sin(x) = √3 gives x = 150°.
Correct Answer:
B
— 150°
Learn More →
Q. Solve for x: 2x - 3 = 5.
Solution
2x - 3 = 5. Add 3 to both sides: 2x = 8. Divide by 2: x = 4.
Correct Answer:
B
— 2
Learn More →
Q. Solve for x: 2x - 4 = 10.
Solution
2x - 4 = 10. Add 4 to both sides: 2x = 14. Divide by 2: x = 7.
Correct Answer:
B
— 5
Learn More →
Q. Solve for x: 2x^2 + 8x = 0.
Solution
Factor out 2x: 2x(x + 4) = 0. Thus, x = 0 or x = -4.
Correct Answer:
B
— -4
Learn More →
Q. Solve for x: 2x^2 - 8 = 0.
-
A.
-2 and 2
-
B.
2 and -2
-
C.
4 and -4
-
D.
0 and 4
Solution
First, add 8 to both sides: 2x^2 = 8. Then divide by 2: x^2 = 4. Taking the square root gives x = ±2.
Correct Answer:
A
— -2 and 2
Learn More →
Q. Solve for x: 3(x + 2) = 21
-
A.
x = 5
-
B.
x = 7
-
C.
x = 3
-
D.
x = 4
Solution
Divide by 3: x + 2 = 7. Subtract 2: x = 5.
Correct Answer:
B
— x = 7
Learn More →
Q. Solve for x: 3x + 2 > 11.
-
A.
x < 3
-
B.
x > 3
-
C.
x < 4
-
D.
x > 4
Solution
Subtract 2 from both sides: 3x > 9. Then divide by 3: x > 3.
Correct Answer:
B
— x > 3
Learn More →
Q. Solve for x: 3x + 4 > 10.
-
A.
x < 2
-
B.
x > 2
-
C.
x < 3
-
D.
x > 3
Solution
Subtract 4 from both sides: 3x > 6. Then divide by 3: x > 2.
Correct Answer:
B
— x > 2
Learn More →
Q. Solve for x: 4(x - 1) = 2(x + 3).
Solution
Step 1: Distribute: 4x - 4 = 2x + 6. Step 2: Subtract 2x from both sides: 2x - 4 = 6. Step 3: Add 4 to both sides: 2x = 10. Step 4: Divide by 2: x = 5.
Correct Answer:
C
— 1
Learn More →
Q. Solve for x: 4x + 5 = 29
-
A.
x = 4
-
B.
x = 5
-
C.
x = 6
-
D.
x = 7
Solution
Step 1: Subtract 5 from both sides: 4x = 24. Step 2: Divide both sides by 4: x = 6.
Correct Answer:
A
— x = 4
Learn More →
Q. Solve for x: 4x - 12 = 0
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Step 1: Add 12 to both sides: 4x = 12. Step 2: Divide both sides by 4: x = 3.
Correct Answer:
B
— x = 3
Learn More →
Q. Solve for x: 4x - 5 = 3x + 2
-
A.
x = -7
-
B.
x = -2
-
C.
x = 2
-
D.
x = 7
Solution
Step 1: Subtract 3x from both sides: x - 5 = 2. Step 2: Add 5 to both sides: x = 7.
Correct Answer:
C
— x = 2
Learn More →
Q. Solve for x: 4x^2 + 8x + 4 = 0.
-
A.
x = -1
-
B.
x = -2
-
C.
x = 1
-
D.
x = 2
Solution
Factoring gives 4(x^2 + 2x + 1) = 0, or 4(x + 1)(x + 1) = 0. Thus, x = -1.
Correct Answer:
B
— x = -2
Learn More →
Q. Solve for x: 4x^2 + 8x = 0.
-
A.
x = 0, -2
-
B.
x = 2, -2
-
C.
x = 0, 2
-
D.
x = -4, 0
Solution
Factor out 4x: 4x(x + 2) = 0. Thus, x = 0 or x + 2 = 0 gives x = -2.
Correct Answer:
A
— x = 0, -2
Learn More →
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. Solve for x: 5x + 2 > 12.
-
A.
x < 2
-
B.
x > 2
-
C.
x < 3
-
D.
x > 3
Solution
Step 1: Subtract 2 from both sides: 5x > 10. Step 2: Divide both sides by 5: x > 2.
Correct Answer:
B
— x > 2
Learn More →
Q. Solve for x: 5x + 2 = 17.
Solution
Subtract 2 from both sides: 5x = 15. Then divide by 5: x = 3.
Correct Answer:
B
— 3
Learn More →
Showing 1351 to 1380 of 2594 (87 Pages)
