Free Printable Solving Quads by Comp the Square, Quad Form, Quad Regression

Worksheets

Solving Quads by Comp the Square, Quad Form, Quad Regression

Total questions: 32

Worksheet time: 3hrs 36mins

Name

Class

Date

Solve by the quadratic formula.

(4, -7)

(3, -8)

(-2, 0)

(2, -3)

Solve by taking square roots.
p² = 64

(8, -8)

(1, -1)

Solve by taking square roots.
n² + 10 = 26

(6, -6)

(4, -4)

(16, -16)

(36, -36)

Solve by using the quadratic formula.
3v² +2v -11 = -6

(0.7, -1.4)

(0.4, -1.1)

(1.4, -3.4)

(1, -1.7)

Solve by using the quadratic formula.
7x² = 6x + 24

(5.6, -5)

(2.3, -1.5)

(5, -5.6)

No Solution

Solve by using the quadratic formula.
5x²+ 4x + 8 = 0

(1, -0.3)

(0.3, -3.3)

(0.8, -0.1)

No Solution

Use the graph to determine the X-intercepts

(-1,0) and (-3,0)

(1,0) and (3,0)

(0,1) and (0,3)

(0,-1) and (0,-3)

Solve by taking square roots:
5b² - 4 = 41

b = 9, b = -9

b = 3, b = -3

b = 8, b = -8

no solutionb

Solve for m. 4m² + 10 = 38

m = 7, -7

m = 7

m = √7

m = √7, -√7

10.

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

a=0, b=5, c=7

a=1, b=5, c=7

a=7, b=5, c=1

11.

What should you do first in solving this equation?
x² + 6x - 13 = 3

Get factored form

Write down: a=1, b=6, c=-13

Make it equal 0 by subtracting 3 on each side

Type it all in a calculator.

12.

Solve Using the Quadratic Formula
2x² + 7x - 15 = 0

-1.5 or 5

No Solution

-5 or 1.5

0.7 or 5

13.

Identify the 'c' value: y = 16x² -8x -24

-8

-24

14.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

-10 & -4

-4 & 10

-8 & 4

8 & -4

15.

Use the quadratic formula to solve 2x² + 2x - 12?

-2, 3

2, 3

2, -3

-2, -3

16.

How many solutions does the equation 4x² + 4x + 1 = 0 have?

More than 2

17.

What is this formula?

This is the speed of light formula.

This is the quadratic formula.

This is the zero product property.

This is scary.

18.

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

1 Real Solution

2 Real Solutions

Half a Solution

No Real Solution

19.

$b^2-4ac$ is called the . . .

Square root

Quadratic formula

X-intercepts

Discriminant

20.

Based on the table, which function can best be used to model this situation?

h(t) = 99t² + 858

h(t) = -4.9t² + 295t + 0.6

h(t) = -4.9t² + 295t + 2

h(t) = 99t² + 1,470.3

21.

Which of the following quadratic equations best represents the following data?

y = 7x² - 3x

y = 3x² - 2x + 1

y = 6x² + 3x - 2

y = 7x² - 3x + 1

22.

Determine the curve of best fit.

y = -2.7x + 7.4

y = 0.95x²- 2.08x - 0.75

y = -.05x - 3.26

y = 0.95x²+ 2.08x + 0.75

23.

Find the height of the ball when it traveled a distance of 10 feet.

12.8 ft

13.5 ft

11.1 ft

17 ft

24.

Find the population for 1975.

HINT: Read the headers on the table!

623 thousand people

650 thousand people

599 thousand people

513 thousand people

25.

Find the value of "c" that completes the square.

x_{ }^2+8x+c

-4

26.

Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.

n^2-20n+c

$10;\ \left(n-10\right)^2$

$100;\ \left(n-10\right)^2$

$100;\ \left(n+10\right)^2$

$10;\ \left(n+10\right)^2$

27.

Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.

x^2-2x+c

$1;\ \left(x-2\right)^2$

$4;\ \left(x-2\right)^2$

$1;\ \left(x-1\right)^2$

$4;\ \left(x-1\right)^2$

28.

What do you do to the b value to correctly complete the square?

square it

divide it by 2 and square the result

divide it by 2 and take the square root of the result

divide it by 2 only

29.

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

Set the equation equal to zero

Divide 10 by 2 and add the result to both sides

Add a² and 10a together

Subtract the 21

30.

Solve by completing the square. Round.
x² -4x = 5

11 and -7

1 and 3

1.73 and -1.73

5 and -1

31.

Solve by completing the square.
y² + 10y = -9

1 and -12

-1 and -9

1 and -9

1 and -1

32.

Solve the equation by completing the square and then finding the roots.
x²+ 6x - 4 = 36

x = -7, 7

x = 4, -10

x = -4 +- √7

x = 10, -4

100 %

Solving Quads by Comp the Square, Quad Form, Quad Regression

Total questions: 32

Worksheet time: 3hrs 36mins

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