By Factoring
Word Problems
Graphing
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100
Solve by factoring: (x-2)(x+4)=0
x=2 x=-4
100
x=1 x=-1
100
If the dimensions of a rectangle are w=x and l=x-5 and the area is 36cm, what is w and l?
The width of the rectangle is 9cm and the length is 4cm
100
x^2-4=0 Graph using a table of values. Show the real roots
x=2 x=-2
100
Factor 3x^2-45=0
3(x^2-15)=0
200
Solve by factoring: x(x-1/2)=0
x=0 x=1/2
200
Solve by using quadratic formula: x^2+x-2=0
x=1 x=-2
200
The length of a rectangular pool is 5m longer than its width. The area of the pool is 50m^2. What are the dimensions of the pool?
The width of the pool is 5m and the length of the pool is 10m
200
Sketch the three possible outcomes when solving a quadratic equation.
1. Two distinct real roots 2. One real root 3. No real roots
200
Solve. 5x^2=8x
x=0 x=8/5 (or 1.6)
300
Solve by factoring: x^2-6x+8=0
x=4 x=2 (x-4)(x-2)=0
300
Solve by using quadratic formula: x^2+6x+5=0
x=-1 x=-5
300
The area of the front cover of a daily journal is 273cm^2 and the length is 8cm greater than the width. What are the dimensions of the cover?
The width of the front cover of the journal is 13cm and the length of the front cover is 21cm
300
Sketch a graph of 2x^2+x+2, showing the real roots (or x-intercepts) You may use any method you want
There are no real roots. The graph does not intersect the x-axis
300
Solve. Round answers to the nearest hundredths 0.1=-2.2x^2-2.4x
x=-1.05 x=-0.04
400
Solve by factoring: y^2-3y-10=0
y=5 y=-2 (y-5)(y+2)=0
400
Solve by using quadratic formula: x^2+5x+2=0
x=(-5+root(17))/2 x=(-5-root(17))/2
400
A rectangular lawn measuring 8m by 4m is surrounded by a flower bed of uniform width. The combined area of the lawn and the flower bed is 165m^2. What is the width of the flower bed?
The width of the flower bed is 3.5m
400
x^2+x-6=0 Sketch the graph, showing the real roots You may use any method you want
x=2 x=-3
400
Solve. (x^2-1)/5=7
x=6 x=-6
500
Solve by factoring: 2x^2+11x+5=0
x= -5 x= -1/2 (x+5)(2x+1)=0
500
-2.2x^2-2.4x=0.1 *round to the nearest hundreth
x=-1.05 x=-0.04
500
Adding 19 to the square of the number of provinces in South Africa gives the square of the number of provinces in Canada. How many provinces are there in South Africa?
There are 9 provinces in South Africa *there are 10 provinces in Canada
500
2x^2-x-3=0 Sketch the graph, showing the real roots You may use any method you want
x=1.5 x=-1
500
Solve. Round to the nearest hundredth. (2x^2)/2+(x)/3=1
x=0.85 x=-1.18
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