Algebra
5(3k − 6) = 6(2k − 3)
k=4
4(x − 1) = 3(y + 2)
(4,2)
In a Dlin sequence, the first term is a positive integer and each term after the first is calculated by adding 1 to the previous term in the sequence, then doubling the result. For example, the first seven terms of the Dlin sequence with first term 4 are:
4, 10, 22, 46, 94, 190, 382
If The 5th term in the Dlin sequence is 142. What are the 4 and 6 terms in the sequence?
4th Term= 70
6th Term= 286
Determine the coordinates of the midpoint of the line segment defined by each pair of endpoints J(0.2, 1.5) and K(3.6, 0.2)
M=(1.9, 0.85)
The operation △ is defined by a△b= a(2b+4) for integers a and b. For example, 3△6=3(2x6+4)=3(16)=48
What is the value of 5△1?
△=30
5p + 2 − 3p = 8 + 4p − 6
p=0
Sabrina has 189 coins totalling $22.75. If she has only nickels and loonies and 189 coins in total, how many more nickels than loonies does she have?
161
A line has equation y=2x-6 . What is its x-intercept and what is its y-intercept?
y-int= (0,-6)
x-int= (3,0)
△DEF has vertices D(-1, 6), E(4, 3), and F(0, -4). Determine the equation of the altitude from vertex D
y=4/7x + 38/7
Rectangle ABCD has vertices A(0,0) B(0,12) C(6,12) and D(6,0).
Diagonals AC and BD intersect at point E. What is the area of△ ADE?
△ ADE= 18 square units
−1/2(4w + 6) =1/3(9 − 3w)
w=-6
Mr. Wills goes for a run from his house to the library and back. The library is 4 km from his house. It is a very windy day; running to the library with the wind at his back only takes 15 minutes, but coming back, against the wind takes him 30 minutes. How fast would he run without the wind, and how fast is the wind that day?
Given that x=5, what is the value of the 12x2/3x
x=20
A quadrilateral has vertices P(-5,4), Q(-2,8), R(6,2) and S(3,-2). Determine what type of quadrilateral this shape is.
Rectangle
If 5/X + 14/y= 2 and x=6, what is the value of y?
y= 12