Part 1: Solve by Factoring
Solve the following equations using factoring:
1) \(10x^2-25x=0\)
2) \(6x^2-18x=0\)
3) \(0=x^2+10x-24\)
4) \(3x^2+12x-15=0\)
5) \(x^2-36=0\)
6) \(0=8x^2-72\)
7) \(x^2-16x=80\)
8) \(2x=5x^2-3\)
Find the zeros of each quadratic function.
9) \(f(x)=8x^2-x-9\)
10) \(g(x)=12x^2-75\)
Part 2: Solve Using Square Roots
Solve the following equations using square roots:
11) \(3x^2-15=6\)
12) \(-2x^2+20=-12\)
13) \(-9x^2+20=101\)
14) \((x+3)^2-5=20\)
15) \(-(x-4)^2+7=-6\)
16) \(\frac{1}{2}(x-9)^2-1=13\)
17) \(-2(x+1)^2-11=9\)
Part 3: Completing the Square
Solve the following equations using completing the square:
18) \(x^2-8x=-12\)
19) \(x^2+10x+18=0\)
20) \(x^2-14x=-50\)
21) \(-4x^2-32x=-17\)
22) \(3x^2-18x+20=0\)
23) \(x^2-4x+16=0\)
Part 4: Quadratic Formula
Solve the following equations using the Quadratic Formula:
24) \(x^2-5x-14=0\)
25) \(x^2-4x+15=0\)
26) \(2x^2-12x=-18\)
27) \(2=3x^2-8x\)
Solve the following equations using the method of your choice:
28) \(x^2-4x=5\)
29) \(4x^2-36=0\)
30) \(12x^2+x-20=0\)
Solution Bank
Solve the following equations using factoring:
1) \(10x^2-25x=0\)
2) \(6x^2-18x=0\)
3) \(0=x^2+10x-24\)
4) \(3x^2+12x-15=0\)
5) \(x^2-36=0\)
6) \(0=8x^2-72\)
7) \(x^2-16x=80\)
8) \(2x=5x^2-3\)
Find the zeros of each quadratic function.
9) \(f(x)=8x^2-x-9\)
10) \(g(x)=12x^2-75\)
Part 2: Solve Using Square Roots
Solve the following equations using square roots:
11) \(3x^2-15=6\)
12) \(-2x^2+20=-12\)
13) \(-9x^2+20=101\)
14) \((x+3)^2-5=20\)
15) \(-(x-4)^2+7=-6\)
16) \(\frac{1}{2}(x-9)^2-1=13\)
17) \(-2(x+1)^2-11=9\)
Part 3: Completing the Square
Solve the following equations using completing the square:
18) \(x^2-8x=-12\)
19) \(x^2+10x+18=0\)
20) \(x^2-14x=-50\)
21) \(-4x^2-32x=-17\)
22) \(3x^2-18x+20=0\)
23) \(x^2-4x+16=0\)
Part 4: Quadratic Formula
Solve the following equations using the Quadratic Formula:
24) \(x^2-5x-14=0\)
25) \(x^2-4x+15=0\)
26) \(2x^2-12x=-18\)
27) \(2=3x^2-8x\)
Solve the following equations using the method of your choice:
28) \(x^2-4x=5\)
29) \(4x^2-36=0\)
30) \(12x^2+x-20=0\)
Solution Bank