Law of Sine
Which theorem is used to solve triangles when two angles and one side (AAS or ASA) are given?
A. Pythagorean Theorem
B. Law of Cosines
C. Law of Sines
D. Distance formula
C. Law of Sines
In the equation, a² = b² + c² - 2bc cos A, angle A is located:
A. Between sides a and b
B. Between sides b and c
C. Opposite side b
D. Opposite side c
B. Between sides b and c
Which transformation flips a figure over a line?
A. Dilation
B. Translation
C. Reflection
D. Rotation
C. Reflection
Which symbol indicates "greater than or equal to"?
A. >
B. <
C. ≥
D. ≤
C. ≥
Which point is a solution of y > x²?
A. (2, 2)
B. (1, 3)
C. (1, 0)
D. (3, 5)
C. (1, 0)
Which of the following is NOT enough information to solve a triangle using the Law of Sines?
A. ASA
B. SSA
C. AAS
D. SAS
D. SAS
If a triangle has sides of 8cm, 10cm, and 13cm, which theorem is most appropriate to find an angle?
A. SSS
B. SAS
C. ASA
D. Two right angles
A. SSS
The image of (–1, 6) reflected across the x-axis is:
A. (1, 6)
B. (1, –6)
C. (–1, –6)
D. (6, –1)
C. (–1, –6)
Which is the factored form of x2 − 7x + 12?
A. (x − 3)(x − 4)
B. (x + 3)(x + 4)
C. (x − 2)(x − 6)
D. (x + 2)(x − 6)
A. (x − 3)(x − 4)
Which equation represents the boundary of the inequality y > x² – 4?
A. y = x² + 4
B. y = –x² – 4
C. y = –x² + 4
D. y = x² – 4
D. y = x² – 4
In the Law of Sines, side a is paired with _______.
A. cos A
B. cos B
C. sin A
D. sin B
C. sin A
A triangle has sides 6 cm and 8 cm with an included angle of 90°. What is the length of the third side?
A. 7 cm
B. 8 cm
C. 10 cm
D. 14 cm
C. 10 cm
Which rule represents a 180° rotation about the origin?
A. (x, y) → (–x, –y)
B. (x, y) → (–y, x)
C. (x, y) → (y, x)
D. (x, y) → (y, –x)
A. (x, y) → (–x, –y)
What is the solution of x² – 9 > 0?
A. −3 < x < 3
B. x < −3 or x > 3
C. x ≤ 3
D. x ≥ −3
B. x < −3 or x > 3
What type of boundary is used when graphing y > x² + 1?
A. Solid parabola
B. Dashed parabola
C. Solid line
D. Dashed line
B. Dashed parabola
n triangle ABC, A = 30°, B = 60°, and a = 10. What is the approximate value of b?
A. 17.32
B. 10.00
C. 5.77
D. 20.00
A. 17.32
A triangle has sides a = 7, b=9, and included angle C = 50°. Which expression correctly represents c²?
A. 7² + 9² + 2 (7)(9) cos 50
B. 7² + 9² - 2 (7)(9) cos 50
C. 7² - 9² - 2 (7)(9) cos 50
D. 7² + 9² - 2 (7)(9) sin 50
B. 7² + 9² - 2 (7)(9) cos 50
Which statement BEST describes a translation?
A. Every point moves the same distance in the same direction.
B. Every point flips over a line.
C. Every point turns around a center.
D. The figure changes its size.
A. Every point moves the same distance in the same direction.
Solve x² + 5x − 6 > 0.
A. 2 < x < 3
B. x < 2 or x > 3
C. − 6 < x < 1
D. x < − 6 or x > 1
D. x < − 6 or x > 1
Which is the factored form of the boundary equation y = x² – 7x + 12?
A. y = (x − 3)(x − 4)
B. y = (x + 3)(x + 4)
C. y = (x − 2)(x − 6)
D. y = (x + 2)(x − 6)
A. y = (x − 3)(x − 4)
In triangle ABC, A = 50°, C = 80°, and c = 20. What is the approximate value of a?
A. 16.56 cm
B. 15.56 cm
C. 17.66 cm
D. 20.50 cm
B. 15.56 cm
A triangular lot has sides of 10 m and 14 m with an included angle of 120°. What is the approximate length of the third side?
A. 18.44 m
B. 16.00 m
C. 21.00 m
D. 20.88 m
D. 20.88 m
The point (2, 1) rotated 90° counterclockwise about the origin becomes:
A. (–1, 2)
B. (1, –2)
C. (1, 2)
D. (–2, –1)
A. (–1, 2)
A rectangular garden has a length of (x + 3) meters and a width of (x − 2) meters. The area must be at least 40 square meters. Which inequality represents this situation?
A. (x + 3)(x − 2) ≤ 40
B. (x + 3)(x − 2) ≥ 40
C. (x + 3) + (x − 2) ≥ 40
D. (x + 3)(x − 2) < 40
B. (x + 3)(x − 2) ≥ 40
The height of a projectile is modeled by y = − x² + 4x + 5. Which point represents a location exactly on the projectile's path?
A. (0,4)
B. (1,8)
C. (2,10)
D. (3,9)
B. (1,8)