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Quadratic Equations and Word Problem, Exams of Algebra

Quadratic equations to solve for x, their vertex forms, factored forms, and graphs. Additionally, it includes a word problem about a rocket's motion modeled by a quadratic function, requiring finding the time, maximum height, and hitting time.

Typology: Exams

2021/2022

Uploaded on 09/12/2022

teap1x
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Chapter 5 Practice
Solve for x.
1) x2 12x + 11 = 0 2) x2 + 6x + 8 = 0 3) 6x2 48 = -12x
4) 3x2 = -4 + 8x 5) 8x2 + 16x = 42 6) x2 +14x 38 = 0
7) x2 -12x = -23 8) x2 -10x + 26 = 8 9) -3x2 + 12x 16
10)
2
30-4(x-11) =-70
11) -3(x + 7)(x 11)=0 10) 2x(3x-5)(x+2)=0
Write each problem in vertex form.
1) y = x2 2x + 5 2) y = x2 + 16x + 71 3) y= -x2 14x +59
4) y = 2x2 + 36x + 170 5) y = -6x2 12x 13 6) y =4x2 20x + 1
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Solve for x. Chapter 5 Practice

  1. x^2 – 12x + 11 = 0 2) x^2 + 6x + 8 = 0 3) 6x^2 – 48 = -12x
  2. 3x^2 = -4 + 8x 5) 8x^2 + 16x = 42 6) x^2 +14x – 38 = 0
  3. x^2 -12x = -23 8) x^2 -10x + 26 = 8 9) -3x^2 + 12x – 16

10) 30-4(x-11) =-70^2 11) -3(x + 7)(x – 11)=0 10) 2x(3x-5)(x+2)=

Write each problem in vertex form.1) y = x (^2) – 2x + 5 2) y = x (^2) + 16x + 71 3) y= -x (^2) – 14x +

  1. y = 2x^2 + 36x + 170 5) y = -6x^2 – 12x – 13 6) y =4x^2 – 20x + 1

Write an equation of the quadratic equation that has the given information below. Thensketch a graph of the equation.1) vertex (3, -4) 2) vertex (-1, -2) a = -2 point (-3, 6)

Write a possible quadratic equation for the parabolas given below in factored form.

Write the quadratic equation for the parabolas given below in vertex form.

Word Problem: h(t) = -16t (^2) + v 0 t + h 0 Aerospace engineers use quadratic functions to model the motion of a rocket. They^ wherev^ h(t)^0 is the vertical velocity, h^ is the height(feet) of the object,^0 is the starting height.^ t^ is the time(sec), determined that they will launch a rocket from the ground at an initial vertical velocity of80 feet per second.a) Write this equation in standard form.

b) Find the time(s) it will take for the rocket to reach 64 feet above the ground. c) What is the maximum height the rocket with reach? d) How long will it take for the rocket to reach its maximum height? e) When will the rocket hit the ground?