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WorksheetsDistance, Midpoint and Simultaneous Equations
Total questions: 13
Worksheet time: 45mins
How is AB written in the distance formula?
d = (5−3)2 + (0−−2)2
d = (2−5)2 + (3 −0)2
d = (5−3)2 − (0−−2)2
d = (4−3)2 − (2−4)2
Find the endpoint of the segment with the endpoints (6, 7) and midpoint (6, 1).
(0, -1)
(6, -5)
(1, 6)
(0, 1)
What is the x-coordinate of the midpoint between (-4,4) and (-2,2)?
3
-3
4
6
Solve:
3x - y = 11
x + y = 5
x = 4
y = 1
x = 4
y = -1
x = -4
y = 1
x = -4
y = -1
-4x + 2y = -30
Which variable will be eliminated?
Solve by elimination:
4x+9y=28
-4x-2y=-28
(-7,0)
(6,0)
(-6,0)
(7,0)
Two pencils and a ruler cost 49 cents in total. One pencil and two rulers cost 62 cents in total. Find the cost of each item.
pencil: 13 cents
ruler: 23 cents
pencil: 15 cents
ruler: 23.50 cents
pencil: 12 cents
ruler: 25 cents
pencil: 18 cents
ruler: 26 cents
Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which simultaneous equations represent this situation?
x+y=134
x+y=120
3x+3y=134
4x+3y=120
4x+3y=134
3x+3y=120
7xy=134
6xy=120
Some horses and chickens are in a pasture. If there are a total of 28 animals and 80 legs, how many chickens and how many horses are there? (Hint: Write simultaneous equations and then solve)
10 horses, 18 chickens
16 horses, 12 chickens
12 horses, 16 chickens
18 horses, 10 chickens
