MPM2D1 – Unit 6: Quadratic Equations
Solving Quadratic Equations:
1.
Solve by factoring and check.
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b) y - 15y + 14 = 0
c) a + 3a - 4 = 0
d) b - 7b - 8 = 0
e) 5z - z - 6 = 0
f) 7a + 3a - 4 = 0
g) z - 4z + 4 = 8z - 28
h) q - 12q = 3q - 54
i) 6x + 17x - 3 = 0
j) 4y + 5y - 9 = 0
k) 16c + 24c + 9 = 0
l) 4x - 5x = 0
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2.
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a) x - 8x + 12 = 0
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Solve each equation using the quadratic formula.
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a) 5t + 3t - 2 = 0
b) 2y - 11y - 13 = 0
c) 6b - 11b - 10 = 0
d) 12k - 17k - 5 = 0
e) 5y - 6y = 0
f) 7x - 175 = 0
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3.
The area of the front cover of a daily journal is 273cm2, and the length of the
journal is 8cm greater than the width. What are the dimensions of the cover?
4.
The length of a rectangle is 5 cm longer than its width. If its area is 36 cm2, what
are the dimensions of the rectangle?
5.
When a football is kicked from the ground with a vertical speed of 20 m/s, its
height, h metres, after t seconds, is given by the equation h = -5t2 + 20t. How
long did the football stay in the air?
6.
The equation h = -10t2 + 20t + 1 models the height, h metres, of a baseball over
time, t seconds, after it was hit. If the ball reached the ground before a fielder
could catch it, how long was the baseball in the air?