Free Printable Quadratic Quest

1.

Find the X-intercepts of the equation

x²-x-12=0

a)

x=4

x=-3

b)

x=-1

x=-6

c)

x=-4

x=9

d)

x=2

x=5

2.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

3.

Find the vertex:

$g\left(x\right)=-2\left(x+4\right)^2-6$

Type your answer in (h,k).

(a)

4.

When Factoring the quadratic expression x²+5x+6, what two numbers multiply to C (the constant term) and add up to B (the coefficient of the middle term)

Hint: Use the diamond method.

a)

1 and 6

b)

2 and -4

c)

3 and 2

d)

-3 and 2

5.

Select ALL values for x by factoring x²-10x-6=-2x-6

a)

x=0

b)

x=-2

c)

x=4

d)

x=8

6.

X-intercepts are also called:

Zeros, Solutions, Y-intercepts, and Roots.

a)

True

b)

False

7.

Does this quadratic expression y=x²+4x+5 have REAL solutions?

a)

True

b)

False

8.

Factor x²-8x+16

select ALL that apply

a)

(x+4)²

b)

(x-4)(x-4)

c)

(x-4)²+(x+4)²

d)

(x-4)²

e)

(x-4)(x+4)

9.

Simplify this Radical

a)

$2p\ \sqrt[]{3}$

b)

$2\ \sqrt[]{5p}$

c)

$3p\ \sqrt[]{3}$

d)

$5p\ \sqrt[]{5}$

10.

Simplify and then subtract:

3√2 - 3√18

a)

-4√8

b)

4√9-6√3

c)

5√12

d)

-6√2

11.

Simplify:
√100

a)

1

b)

10

c)

10²

d)

Already simplified

12.

True or False: The following list contains only perfect squares.
1, 4, 9, 27, 81, 100, 7, 1.5

a)

True

b)

False

13.

$\sqrt[]{\left(a^2\times b^4\right)}$ simplifies to ab²

a)

True

b)

False

14.

A window washer dropped a squeegee from a platform 196 feet above the sidewalk Use the formula t=to find how many seconds it took for the squeegee to reach the sidewalk. $t=\ \frac{\sqrt[]{h}}{4}$

4 lines

15.

How many Solutions does the quadratic equation 2x²+9=1

have?

a)

one solution

b)

infinite solutions

c)

two solutions

d)

no solutions

16.

What are the TWO solutions to the equation 7x²=112

a)

x=4

b)

x=12

c)

x=-4

d)

x=-12

17.

Solve by taking the square root: 16n²=49

a)

(1.75,-1.75)

b)

(8.883,-8.884)

c)

(9,-9)

d)

(no solution)

18.

Solve the following system of equations algebraically:

y= x² +2x - 29

y= -3x + 7

a)

-3x+7

b)

(x+9) (x-9)

c)

0 = x² + 5x -36

d)

( -9, 34) and (4, -5)

19.

What type of equation is

y = 25x - 104

a)

Linear Equation

b)

Quadratic equation

20.

Fill in the standard form.

(a)

21.

Which is the Quadratic Funcion?

a)

y = mx + b

b)

y 2(a)(c)

c)

$x=\ \frac{y_{2\ }-\ y\ _1}{x_{2\ }-\ x\ _1}$

d)

ax² + bx + c

Quadratic Quest

Total questions: 21

Worksheet time: 9mins

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