Answers LVA- Mathematical Modeling - FallSolving Quadratic Equations

Solving Quadratic Equations Answers

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Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions to the nearest hundredth.

x = -1.1 or x = -1

x = 1.12 or x = -0.82

x = 5 or x = -5

x = 1 or x = -1

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Solve the quadratic equation numerically (using tables of x- and y- values).

x = -1 or x = -1

x = -4 or x = -3

x = -3 or x = -3

x = 2 or x = -1

When graphing a parabola, how are the points for the x and y-intercepts found?

use the axis of symmetry on the graph and approximate the intercepts

look at the coefficients a and b

set x and y equal to zero and solve for each

set x and y equal to each other

Solve the quadratic equation numerically (using tables of x- and y- values).(x +2) (x + 3) = 12

x = -1 or x = 3

x = 2 or x = -3

x = -6 or x = 1

x =1 or x = -1

Solve the quadratic equation numerically (using tables of x- and y- values).

x = -3 or x = -2

x = 2 or x = -3

x = -3 or x = -3

x = 6 or x = -1

Solve the quadratic equation numerically (using tables of x- and y- values).

x = 6 or x = 2

x = 6 or x = -2

x = -6 or x = -2

x = 6 or x = -1

Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-intercepts (if they exist).

( 2, 0); (-5, 0)

(-2, 0); (-5, 0)

(-2, 0); ( 5, 0)

( 2, 0); ( 5, 0)

Solve the quadratic equation numerically (using tables of x- and y- values).

x = -1

x = 1 or x = -3

x = -3

x = 2 or x = -1

Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-intercepts (if they exist).

( 2, 0); (-5, 0)

(-2, 0); (-5, 0)

(-2, 0); ( 5, 0)

( 2, 0); ( 5, 0)

Solve the quadratic equation numerically (using tables of x- and y- values).x(x + 5) = 0

x = -1 or x = 3

x = 0 or x = -5

x = -6 or x = 1

x =1 or x = -1

Solve the quadratic equation numerically (using tables of x- and y- values).x(x + 3) = 0

x = -1 or x = 3

x = 0 or x = -5

x = 0 or x = -3

x =1 or x = -1

Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions to the nearest hundredth.

x = -1.1 or x = -1

x = 1.82 or x = -0.82

x = 0.10 or x = -3

x = 0 or x = -6.3

Solve the quadratic equation numerically (using tables of x- and y- values).

x = -1 or x = -1

x = -4 or x = -3

x = -3 or x = -3

x = 2 or x = -1

When solving a quadratic in the form we are really finding the x–intercepts. These x–intercepts are also called roots. What is another term for roots or x-intercepts?

exponents

quadratics

zeros

variables

Solve the quadratic equation numerically (using tables of x- and y- values).

x = 6 or x = 2

x = 6 or x = -3

x = -6 or x = -3

x = 6 or x = -1

Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-intercepts (if they exist).

(-2, 0); ( 5, 0)

( 2, 0); (-5, 0)

( 2, 0); ( 5, 0)

(-2, 0); (-5, 0)

The stopping distance, d ( in feet) for a truck moving at a velocity (speed) v miles per hour is modeled by the equation: What is the speed of the truck if it takes 100 feet to stop?

12.5 mph

38 mph

18 mph

13 mph

Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions to the nearest hundredth.

x = -11 or x = -1

x = 1 or x = 6

x = 10 or x = -3

x =0 or x = -6

Solve the quadratic equation numerically (using tables of x- and y- values).

x = -1 or x = 3

x = 2 or x = -3

x = -3 or x = -3

x =1 or x = -1

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Solving Quadratic Equations Answers

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