Grade 10 Math Exam!!

Factoring

100

Factored form of x²-10x+25

What is (x-5)²?

200

Factored form of 5x² - 500

What is 5(x-10)(x+10)

300

Factored form of 9x² - 30x + 25

What is (3x-5)²

400

Factored form of 3xm - 3xn - m + n.

What is (3x-1)(m-n)?

500

Factored form of x² - 8xy + 16y² - 36m²

What is [(x-4y)+6m][(x-4y)-6m]?

Quadratics

100

y=2(x-2)(x+4) in standard form.

What is y=2x²+4x-16?

200

The transformations that must be applied to y=x² to create the graph of y=-2(x-4)²+16

What is move right four units, up 16 units, vertical stretch by a factor of 2 and reflect about the x-axis?

300

The vertex of y=1/2x²+6x+5

What is (-6,-13)?

400

The max height of a rocket launched straight upward that follows the path h=-5t²+200t.

What is 2000m?

500

The relation y=ax²+bx+c in vertex form.

What is y=a (x+b/2a)² - b²/4a + c ?

Trigonometry

100

The rise and run of a ramp if... two years ago, Fabio made a skateboard ramp that had a rise of 30cm and a run of 1m. Now he plans to build another ramp with the same slope, but with a 2m long board for the ramp.

What is a rise of 57.5cm and a run of 191.6cm?

200

The angle A of sinA=9/26.

What is 20 degrees?

300

Angle measurements were taken from two points on directly opposite sides of a tree as shown. Determine the tree's height. /35 degrees ------------- 65m --------------30 degrees\

What is 20.6m?

400

The measure of side u in triangle SUN, given that n=58cm, angle N = 38 degrees, and angle U = 72 degrees.

What is 89.6cm?

500

Length of each rafter (to the nearest m) if... the base of the rafter is 12.8m wide and the rafters form angles of 48 degress and 44 degrees to the horizontal.

What are 10m and 9m?

Analytic Geometry

100

Distance between two points A(2,6) and B(5,2)

What is 5?

200

The type of triangle with vertices A(-1,-1), B(2,0) and C(1,3).

Isoceles

300

The equation of the median line from vertex A in triangle ABC, if the coordinates of the vertices are A(-3,-1), B(3,5) and C(7,-3).

What is y=1/4x -1/4?

400

Find the equation of the perpendicular bisector of the line segment joining P(-1,4) to Q(3,-2).

What is y=2/3x+1/3

Linear Systems

100

The point of intersection between 3x+2y-13=0 -2x+4y-2=0

What is (3,2)?

200

The solution to 3x-2y=2 -10x+3y=8

What is (-2,-4)?

300

Solution to a=2b+2 5a-9b=12

What is (6,2)?

400

A linear system of two equations with no solutions.

Answers will vary.

500

The values of p and q if... The solution to this systems of equations is (-2,1). px+(9-q)y=10 (3p+1)-(q-6)y=-21.

What are p=-9/5 and q=113/5?