Free Printable Quadratic Function and equations in One Variable

1.

Determine whether

x^2\ -\ 5\ \

is a quadratic expression in one variable or not.

a)

yes

b)

no

2.

Determine whether

2x^2\ +\ x^2

is a quadratic expression in one variable or not.

a)

Yes

b)

No

3.

$x^{\frac{1}{3}}\ +\ 2x\ -1$

Determine whether quadratic expression above in one variable or not.

a)

Yes

b)

No

4.

$n\left(n-2\right)\$
Determine whether quadratic expression above in one variable or not.

a)

Yes

b)

No

5.

$-\frac{1}{2}p^2\ +\ 4p$

Determine the values of a, b and c for following quadratic expression.

a)

$a=\ -\frac{1}{2}$ $b=4$ $c=0$

b)

$a=\ -\frac{1}{2}$ $b=4$ $c=1$

c)

$a=\frac{1}{2}\$ $b=4$

d)

$a=\frac{1}{2}$ $b=4$ $c=0$

6.

$1-x-2x^2$

Determine the values of a, b and c for the following quadratic expression.

a)

$a=1$ $b=-1$ $c=-2$

b)

$a=1$ $b=1$ $c=2$

c)

$a=-2$ $b=-1$ $c=1$

d)

$a=-2$ $b=-1$ $c=-1$

7.

$2r\left(r-3\right)$
Determine the values of a,b and c of the following quadratic expressions.

a)

$a=2$ $b=6$ $c=0$

b)

$a=2$ $b=-6$ $c=0$

c)

$a=2$ $b=-2$ $c=1$

d)

$a=2$ $b=-6$ $c=-3$

8.

For graph of quadratic function $f\left(x\right)\ =ax^2\ +\ bx\ +c$ above, state the range of value of a and state whether the graph has a maximum or minimum point

a)

(a) $a>0,$ minimum point
(b) $a<0,$ maximum point

b)

(a) $a>0,\$ maximum point
(b) $a<0,$ minimum point

c)

(a) $a<0,$ maximum point
(b) $a>0,$ minimum point

9.

Determine the maximum or minimum point and state the equation of the axis of symmetry for the graph of function above.

a)

Minimum point (4,-15), $x=4$

b)

Minimum point (4,15), $x=4$

c)

Minimum point (4,-15), $x=8$

d)

Minimum point (4,15), $x=8$

10.

Determine the maximum or minimum point and state the equation of the axis of symmetry for the graph of function above.

a)

Maximum point (-2,4), $x=-2$

b)

Maximum point (-2,-4), $x=2$

c)

Minimum point (-2,4), $x=-2$

d)

Minimum point (-2,-4), $x=-2$

Quadratic Function and equations in One Variable

Total questions: 10

Worksheet time: 6mins

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