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High School Diploma Math Quiz on MPM 2D Review Quiz, created by liyana45 on 21/12/2013.

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MPM 2D Review Quiz

Question 1 of 24

1

Which is NOT an equivalent equation for 9x-3y=18

Select one of the following:

  • y=3x-6

  • y=1/3x-2

  • 6x-2y=12

Explanation

Question 2 of 24

1

The midpoint of the line segment with endpoints A(-3,-3) and B(1,5) is at

Select one or more of the following:

  • (-2,2)

  • (-4,-8)

  • (-1,1)

  • (1,-1)

Explanation

Question 3 of 24

1

The length of a line segment with endpoints C(-5,2) and D(1,-4) is √20.

Select one of the following:

  • True
  • False

Explanation

Question 4 of 24

1

An equation for the circle with centre (0,0) and radius 4 is...

Select one or more of the following:

  • x²+y²=2

  • x²+y²=8

  • x²+y²=4

  • x²+y²=16

Explanation

Question 5 of 24

1

What is a median?

Select one or more of the following:

  • A line segment with a slope opposite to the one it is coming from.

  • A line segment from a vertex to the midpoint of the opposite side.

  • The middle line of a triangle.

Explanation

Question 6 of 24

1

All 120 seats in a hall were filled for a concert. The tickets cost $10 for adults and $6 for students. The total proceeds were $980. How many adults attended the concert? How many students?

Select one or more of the following:

  • 73 adults, 15 students

  • 66 adults, 20 students

  • 65 adults, 30 students

  • 65 adults, 55 students

Explanation

Question 7 of 24

1

Find the equation for the circle that is centred at the origina and:
a) has a radius of 7
b) has a radius of √10
c) passes through the point (-5,12)

Select one of the following:

  • a) x²+y²=7
    b)x²+y²=100
    c)x²+y²=169

  • a) x²+y²=49
    b)x²+y²=10
    c)x²+y²=169

  • a) x²+y²=49
    b)x²+y²=100
    c)x²+y²=69

Explanation

Question 8 of 24

1

Find the equation for the circle that is centred at the origina and:
a) has a radius of 7
b) has a radius of √10
c) passes through the point (-5,12)

Select one of the following:

  • a) x²+y²=7
    b)x²+y²=100
    c)x²+y²=169

  • a) x²+y²=49
    b)x²+y²=10
    c)x²+y²=169

  • a) x²+y²=49
    b)x²+y²=100
    c)x²+y²=69

Explanation

Question 9 of 24

1

Find the equation for the circle that is centred at the origina and:
a) has a radius of 7
b) has a radius of √10
c) passes through the point (-5,12)

Select one of the following:

  • a) x²+y²=7
    b)x²+y²=100
    c)x²+y²=169

  • a) x²+y²=49
    b)x²+y²=10
    c)x²+y²=169

  • a) x²+y²=49
    b)x²+y²=100
    c)x²+y²=69

Explanation

Question 10 of 24

1

Find the equation for the circle that is centred at the origina and:
a) has a radius of 7
b) has a radius of √10
c) passes through the point (-5,12)

Select one of the following:

  • a) x²+y²=7
    b)x²+y²=100
    c)x²+y²=169

  • a) x²+y²=49
    b)x²+y²=10
    c)x²+y²=169

  • a) x²+y²=49
    b)x²+y²=100
    c)x²+y²=69

Explanation

Question 11 of 24

1

Find the equation for the circle that is centred at the origina and:
a) has a radius of 7
b) has a radius of √10
c) passes through the point (-5,12)

Select one of the following:

  • a) x²+y²=7
    b)x²+y²=100
    c)x²+y²=169

  • a) x²+y²=49
    b)x²+y²=10
    c)x²+y²=169

  • a) x²+y²=49
    b)x²+y²=100
    c)x²+y²=69

Explanation

Question 12 of 24

1

Find the equation for the circle that is centred at the origina and:
a) has a radius of 7
b) has a radius of √10
c) passes through the point (-5,12)

Select one of the following:

  • a) x²+y²=7
    b)x²+y²=100
    c)x²+y²=169

  • a) x²+y²=49
    b)x²+y²=10
    c)x²+y²=169

  • a) x²+y²=49
    b)x²+y²=100
    c)x²+y²=69

Explanation

Question 13 of 24

1

A triangle has vertices A(-1,1), B(3,5) and C(5,-1). What kind of triangle is triangle ABC?

Select one of the following:

  • Right triangle.

  • Equilateral triangle.

  • Isosceles triangle.

  • Right isosceles triangle.

  • Scalene triangle.

Explanation

Question 14 of 24

1

Name the zeroes and the vertex of this equation: y=-4(x-1)(x-9).

Select one of the following:

  • (-1,-9) (64,5)

  • (-1,9) (5,64)

  • (1,9) (5,64)

  • (1,9) (64,5)

Explanation

Question 15 of 24

1

Evaluate.
a)4^0
b)5^-1
c)(-3^)-3
d)(3/4)^-2

Select one of the following:

  • a)-1
    b)1/5
    c)1/27
    d)16/9

  • a)1
    b)1/5
    c)-1/27
    d)16/9

Explanation

Question 16 of 24

1

Board feet are used to measure the total length (in feet) of boards that are 1 inch thick and 1 foot wide that can be cut from a tree to make lumber. You can use the equation l=0.011a²-0.68a+13.31 to estimate the number of hundred of board-feet available in a certain type of tree, where "l" is the number of board-feet and "a" is the age,in years,of the tree. What is the approx. number of board-feet available to cut from a 40 year old tree? A student said the answer was 371. Is this answer true or false?

Select one of the following:

  • True
  • False

Explanation

Question 17 of 24

1

Use the distributive property to find the binomial product : (x+5)(x+8)

Select one of the following:

  • x²+13x+40

  • x²+40x+40

Explanation

Question 18 of 24

1

Factor by grouping:
16X²-12xy-12xy+9y²

Select one of the following:

  • (4x-3y)²

  • (3x-4y)²

Explanation

Question 19 of 24

1

A rectangle has area defined by 8x²+2x-15.
Factor to find the expression for the length and width of the rectangle.
If x=12, what is the perimeter of the rectangle?

Select one of the following:

  • 4x-5, 2x+3
    140 cm

  • 2x+4,5x-3
    130 cm

Explanation

Question 20 of 24

1

Determine all values of k so that these trinomials are perfect squares:
9x²-42x+k
25y²+ky+144

Select one of the following:

  • a)120,-120
    b)49

  • a) 49
    b) 120,-120

Explanation

Question 21 of 24

1

Solve.
y²= 8y+9
30 x-25x²=9

Select one of the following:

  • (9,-1)
    (3/5)

  • (9,1)
    (3/-5)

Explanation

Question 22 of 24

1

The length of the hypotenuse of a right triangle is 1 cm more than triple that of the shorter leg. The length of the longer leg is 1 cm less than triple that of the shorter leg. Find all three lengths. A student gave the answers as 12, 35 , 35. Are they right or wrong?

Select one of the following:

  • True
  • False

Explanation

Question 23 of 24

1

Fin the value(s) of k so that each parabola has only one x-intercept.
y= x²+kx+100
y= -4x²+28+k

Select one or more of the following:

  • 20,-20
    -49

  • 20,10
    49

Explanation

Question 24 of 24

1

The hypotenuse of a right triangle has length 17 cm. The sum of the lengths of the legs is 23 cm. What are their lengths?

Select one or more of the following:

  • 8,15

  • 13,10

Explanation

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