Question 1
Question
Which is NOT an equivalent equation for 9x-3y=18
Question 2
Question
The midpoint of the line segment with endpoints A(-3,-3) and B(1,5) is at
Answer
-
(-2,2)
-
(-4,-8)
-
(-1,1)
-
(1,-1)
Question 3
Question
The length of a line segment with endpoints C(-5,2) and D(1,-4) is √20.
Question 4
Question
An equation for the circle with centre (0,0) and radius 4 is...
Answer
-
x²+y²=2
-
x²+y²=8
-
x²+y²=4
-
x²+y²=16
Question 5
Question
What is a median?
Answer
-
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.
Question 6
Question
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?
Answer
-
73 adults, 15 students
-
66 adults, 20 students
-
65 adults, 30 students
-
65 adults, 55 students
Question 7
Question
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)
Answer
-
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
Question 8
Question
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)
Answer
-
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
Question 9
Question
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)
Answer
-
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
Question 10
Question
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)
Answer
-
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
Question 11
Question
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)
Answer
-
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
Question 12
Question
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)
Answer
-
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
Question 13
Question
A triangle has vertices A(-1,1), B(3,5) and C(5,-1). What kind of triangle is triangle ABC?
Question 14
Question
Name the zeroes and the vertex of this equation: y=-4(x-1)(x-9).
Answer
-
(-1,-9) (64,5)
-
(-1,9) (5,64)
-
(1,9) (5,64)
-
(1,9) (64,5)
Question 15
Question
Evaluate.
a)4^0
b)5^-1
c)(-3^)-3
d)(3/4)^-2
Answer
-
a)-1
b)1/5
c)1/27
d)16/9
-
a)1
b)1/5
c)-1/27
d)16/9
Question 16
Question
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?
Question 17
Question
Use the distributive property to find the binomial product : (x+5)(x+8)
Question 18
Question
Factor by grouping:
16X²-12xy-12xy+9y²
Question 19
Question
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?
Answer
-
4x-5, 2x+3
140 cm
-
2x+4,5x-3
130 cm
Question 20
Question
Determine all values of k so that these trinomials are perfect squares:
9x²-42x+k
25y²+ky+144
Answer
-
a)120,-120
b)49
-
a) 49
b) 120,-120
Question 21
Question
Solve.
y²= 8y+9
30 x-25x²=9
Answer
-
(9,-1)
(3/5)
-
(9,1)
(3/-5)
Question 22
Question
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?
Question 23
Question
Fin the value(s) of k so that each parabola has only one x-intercept.
y= x²+kx+100
y= -4x²+28+k
Question 24
Question
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?