7.7 Factoring
9.1 Graphing
9.2 Square Roots
9.3 Complete the Square
9.4 Quadratic Formula
100
Solve x^2+9x+20=0 by factoring.
(x+5)(x+4)=0
x=-5, x=-4
100
Solve x^2-4=0 by graphing
x=-2 and x=2
100
Solve the equation using square roots.
x^2+1=0
no solution
x^2=-1
100
Find the value of c to complete the square.
x^2-22x+c
121
100
Evaluate the expression.
(6+-sqrt(0))/2
6/2
3
200
Solve x^2+12x+36=0 by factoring.
(x+6)^2=0
x=-6
200
Solve x^2+4x=0 by graphing.
x=-4 and x=0
200
Solve the equation using square roots.
-3x^2+16=-11
-3x^2=-27
x^2=9
x=+-3
200
Complete the square for the expression. Then factor the trinomial.
x^2+24x
x^2+24x+144
(x+12)^2
200
How many solutions with this quadratic equation have?
16x^2-8x+1=0
The discriminant (-8)^2-4(16)(1) equals 0. Therefore, 1 solution.
300
Solve x^2+5x-24=0 by factoring.
(x+8)(x-3)=0
x=-8, x=3
300
Solve x^2+1=2x by graphing.
x=1
300
Solve the equation using square roots.
(x+4)^2=49
x+4=+-7
x=3, x=-11
300
Solve the equation by the completing the square.
x^2-8x=9
x^2-8x+16=9+16
(x-4)^2=25
x-4=+-5
x=9, -1
300
Solve 2x^2-x-1=0 using the quadratic formula.
x=1, x=-1/2
400
Solve x^2-49=0 by factoring.
Difference of squares (x+7)(x-7)=0
x=7, x=-7
400
Solve -x^2+2x=0 by graphing.
x=0 and x=2
400
Solve the equation using square roots.
(3x+1)^2=25
3x+1=+-5
3x+1=5, 3x+1=-5
3x=4, 3x=-6
x=4/3, x=-2
400
Solve the equation by the completing the square.
3x^2-12x=18
x^2-4x=6
x^2-4x+4=6+4
(x-2)^2=10
x-2=+-sqrt(10)
x=2+sqrt(10), 2-sqrt(10)
400
Solve 2x^2-6x+5=0 using the quadratic formula.
500
Solve 2x^2+120=38x by factoring
2x^2-38x+120=0
2(x^2-19x+60)=0
2(x-15)(x-4)=0
x=15, x=4
500
Solve -x^2+10x-21=0 by graphing.
x=3, x=7
500
Solve the equation using square roots. (Simplified fraction or decimal)
4(x-10)^2=9
(x-10)^2=9/4
x-10=+-3/2
x=10+-3/2
x=23/2, 17/2
x=11.5, 8.5
500
Find the value of x. (Leave answer as a radical)
x(x-4)=64
x^2-4x=64
x^2-4x+4=64+4
(x-2)^2=68
x-2=+-2sqrt(17)
x=2+2sqrt(17)
500
Solve 3x^2-7x-6=0 using the quadratic formula.
x=3, x=-2/3
