Math Quiz Essentials: Laws, Transformations, Bearings, and Quadratics

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Math Quiz Essentials: Laws, Transformations, Bearings, and Quadratics


Math Quiz Essentials: Laws, Transformations, Bearings, and QuadraticsVersión en línea Core concepts quiz por Princess Panaligan 1 A point (3,−2) is reflected over the x-axis. What are its new coordinates? a (3,2) b (−3,2) c (−3,−2) d (2,3) 2 A triangle is rotated 90∘ counterclockwise about the origin. What is the image of point (4,−1)? a (−1,−4) b (1,4) c (1,−4) d (−4,1) 3 A translation moves point (2,5) by four units to the right and 3 units downwards. The image is now found at: a (6,2) b (6,8) c (−2,2) d (4,3) 4 If a=4, b=5, c=7, which angle is largest? a B opposite b is largest b All angles equal c A opposite a is largest d C opposite c is largest 5 A bearing of 045° means a 45° west of north b 45° east of north c 45° north of east d 45° south of east 6 The bearing of due west is a 090° b 180° c 270° d 360° 7 The roots of x2−7x+10=0 are a 2 and 5 b 3 and 4 c 1 and 10 d and -5 8 If a point (x,y) is translated by vector (h,k), what is the new coordinate? a (x+h, y+k) b (x-h, y-k) c (x, y) + (h, -k) d (x+h, y-k) 9 90° clockwise around origin maps (x,y) to what? a (-x, -y) b (y, -x) c ( -y, -x) d (-y, x) 10 Reflecting a point (x,y) across the x-axis yields which point? a (-x, -y) b (x, -y) c (y, x) d (-x, y) 11 Reflection across the y-axis yields which point? a (-x, y) b (x, -y) c (-x, -y) d (y, x) 12 What is the bearing from A to B if B is due east of A? a 180° b 090° c 270° d 0° 13 A vessel from north goes 45° East of North. Bearing? a 045° b 135° c 315° d 090° 14 If a line has bearing 210°, which direction is it pointing? a Northeast b Southeast c Northwest d Southwest 15 Solve: x2−9>0 a x<−3 or x>3 b −3 c x≥3 d x≤−3 16 Bearings: If a ship B is at bearing 030° from A, what is the angle from the north to AB? a 60° east of north b 30° east of south c 30° east of north d 30° west of north 17 Solve x^2 - 5x + 6 < 0. Which interval is solution? a (3,∞) b (-∞,∞) c (-∞,2) d (2,3) 18 Solve x^2 - 4x -5 ≥ 0. Which interval? a (-∞, -1) ∪ (5, ∞) b (-∞, 5] c (-∞, -1] ∪ [5, ∞) d [-1, 5] 19 If f(x)=ax^2+bx+c with a>0, f(x)≥0 outside roots. True or false? a False b Only if b=0 c True d Only if c>0 20 Solve x^2 + 2x - 3 ≤ 0. Interval? a [-3,1] b (-3,1) c (-∞, -3] ∪ [1, ∞) d [-3,0] 21 A hiker walks 8 km due north, then 6 km due east. Approximately how far is the hiker from the starting point? a 10 km b 12 km c 14 km d 16 km 22 Solve (x-4)(x+2) > 0. Which intervals satisfy? a (-∞, -2) b (-∞, 4) c (-∞, -2) ∪ (4, ∞) d (-2, 4) 23 Solve x^2 - 6x + 5 ≥ 0. Interval? a (1,5) b (-∞,5] ∪ [1, ∞) c (-∞,1] ∪ [5, ∞) d (-∞, ∞) Feedback 4 Largest side c=7 corresponds to largest angle C opposite it. 8 Addition of the translation vector to coordinates gives new position. 9 90° clockwise rotation sends (x,y) → (y, -x). 10 Reflection over x-axis negates the y-coordinate. 11 Reflection over y-axis negates the x-coordinate. 12 East corresponds to 90°, but bearings start from north. 13 Bearing is measured clockwise from north; 45° east of north is 045°. 14 210° is in the third quadrant, southwest. 15 Bearing 120° corresponds to 30° below the negative x-axis; standard angle is 300°. 16 Bearing 030° means 30° east of north. 17 Factor: (x-2)(x-3) < 0, true between the roots. 18 Roots are -1 and 5; parabola opens up, so outside the roots. 19 For a>0, f(x)≥0 outside the real roots of f(x)=0. 20 Roots are -3 and 1; ≤0 is between roots. 21 No real roots and parabola above x-axis yields f(x)>0 for all x. 22 Product positive when x is less than -2 or greater than 4. 23 Roots 1 and 5; outside the interval between roots satisfies ≥0.

Math Quiz Essentials: Laws, Transformations, Bearings, and Quadratics

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Math Quiz Essentials: Laws, Transformations, Bearings, and QuadraticsVersión en línea

por Princess Panaligan

A point (3,−2) is reflected over the x-axis. What are its new coordinates?

A triangle is rotated 90∘ counterclockwise about the origin. What is the image of point (4,−1)?

A translation moves point (2,5) by four units to the right and 3 units downwards. The image is now found at:

If a=4, b=5, c=7, which angle is largest?

A bearing of 045° means

The bearing of due west is

The roots of x2−7x+10=0 are

If a point (x,y) is translated by vector (h,k), what is the new coordinate?

90° clockwise around origin maps (x,y) to what?

Reflecting a point (x,y) across the x-axis yields which point?

Reflection across the y-axis yields which point?

What is the bearing from A to B if B is due east of A?

A vessel from north goes 45° East of North. Bearing?

If a line has bearing 210°, which direction is it pointing?

Solve: x2−9>0

Bearings: If a ship B is at bearing 030° from A, what is the angle from the north to AB?

Solve x^2 - 5x + 6 < 0. Which interval is solution?

Solve x^2 - 4x -5 ≥ 0. Which interval?

If f(x)=ax^2+bx+c with a>0, f(x)≥0 outside roots. True or false?

Solve x^2 + 2x - 3 ≤ 0. Interval?

A hiker walks 8 km due north, then 6 km due east. Approximately how far is the hiker from the starting point?

Solve (x-4)(x+2) > 0. Which intervals satisfy?

Solve x^2 - 6x + 5 ≥ 0. Interval?