Combining Like Terms
Simplify:
2r + 3s – 5r
(2b-7)(b+3)
2b^2-b-21
5x-20
5(x-4)
-7+3x=14
x=7
(x-2)(x-3)=0
x=2,3
Simplify:
3a + 5 – x + 7x – 2a
(c-10)(c-3)
c^2-13c+30
18x^6+12x^3
6x^3(3x^3+2)
x/6-4=15
x=114
Use Zero product rule to solve the equation:
0=-10x^2 + 75x
x=0, 7 1/2
Simplify:
5x+3x^2-6+6x-8x^2+10
-5x^2 + 11x + 4
3x(x+4)(x-4)
3x^3-48x
4x²y³ - 2xy² + 12y
2y(2x^2y^2-xy+6)
2x-7=8x+9
x=-8/3
Use the zero product rule to solve the equation:
(3x + 2)(2x − 5)= 5(3x-2)
x=0, x=13/3
Simplify:
3(-2x+3y)-4(5y-3x)
6x-11y
(3x+2y)^2
9x^2+12xy+4y^2
(3 p + 1)(8 p - 3) = 0
x=-1/3, 3/8
Solve for x:
−3(x + 2)(x − 1) + x(4x + 7) = (x + 6)^2 - 15
x=-15/8
An Angry Bird’s flight is given by the following equation:
y=-21x^2+77x
• “y” represents the height
• “x” represents the horizontal distance (in cm)
• The Angry Bird’s target is 4 cm away.
Will the Angry Bird hit its target? Show the math to support your answer.
It does not hit the target.
x=0, 3 2/3
-3y+4xy-2x^2+2x+y^2-4xy+2y+3x^2
x^2+y^2+2x-y
(8y+4xy)(3y^2-5x)
-20x^2y+12xy^3-40xy+24y^3
5(x-3) + x(x-3)
(x-3)(5+x)
Solve for x:
−x(x + 3)( x − 5) + x(x^2 − 2x)+ 5 = 2x(x + 7 + x(x + 1)
x=sqrt(5/3) must include +/-
Use the zero product rule to solve the equation:
(2x+1)^2 − (7x − 4)(x − 1) = −3