Free Printable Formative Assessment 2

1.

f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f - g)(x).

a)

x² + 8x + 1

b)

x² + 6x - 1

c)

5x² + 8x - 1

d)

x² + 8x -1

2.

Find f(3) + g(2) if f(x)= x+2 and g(x)=5x-1

(a)

3.

Find $(f-g)(2)$ if $f(x)=4x+10$ and $g(x)=3x-7$

(a)

4.

Given f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

a)

11x² - 1

b)

5x⁴ + 6x² - 1

c)

5x² + 6x - 1

d)

5x² + 8x - 1

5.

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f+g\right)\left(x\right)=$

a)

$4x^4-8x-8$

b)

$4x^4-8x$

c)

$4x^2-8x-8$

d)

$4x^2-8x$

6.

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f\cdot g\right)\left(x\right)=$

a)

$3x^4-24x^3+8x^2+32x-16$

b)

$3x^4-8x-16$

c)

$3x^4-24x^3+8x^2-32x-16$

d)

$3x^4-24x^3+16x^2+32x-16$

7.

Given f(x) = 3x² - 2x + 1 and g(x) = x - 4, find (f*g)(x).

a)

3x³ - 10x² - 7x - 4

b)

3x³ - 14x² + 9x - 4

c)

3x² - x - 3

d)

3x³ + 14x² - 9x - 4

8.

The value of x and y if (x + 3, 5) = (6, 2x + y ) is

a)

x = 3 and y = - 1

b)

x = 6 and y = 5

c)

x = - 1 and y = 3

d)

x = 5 and y = 6

9.

If X={1,4} , Y={ 3,8,9 } ,then X x Y = ...

a)

{(1,3),(1,8),(1,9), (4,1),(4,3),((4,9) }

b)

{(1,3),(1,8),(1,9),(4,3),(4,8),(4,9) }

c)

{(3,1),(3,4),(8,1), (8,4),(9,1),(9,4) }

d)

{(3,1),(3,4),(9,1), (8,4),(9,1),(9,4) }

10.

If : (5,𝒙−8)=(𝒚+1,-5) , then : 𝒙+𝒚=......

a)

4

b)

7

c)

5

d)

6

11.

The cartesian product of any given sets is represented by elements in

a)

roster form

b)

Ordered Pair form

c)

Set builder form

d)

verbal form

12.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

13.

Evaluate the function when x = 4

a)

f(4) = 2(4) - 5 = 3

b)

f(4) = 2(4) - 5 = -1

c)

f(4) = ½(4) + 1 = 3

d)

f(4) = 4

14.

Find f(-2)

a)

-3

b)

6

c)

8

d)

-6

15.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

16.

Use the piecewise function from the picture. Evaluate f(-4).

a)

7

b)

7.9

c)

-4

d)

-25

17.

A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.

How much does he earn for a 70 hour week?

a)

$1020

b)

$1140

c)

$840

d)

He works for free!

18.

Which of the piecewise functions matches this graph?

a)

b)

c)

d)

19.

According to this piecewise function, evaluate g(100) ?

a)

10000

b)

-10000

c)

125.59

d)

-125.59

20.

a)

A

b)

B

c)

C

d)

D

21.

Find f[g(5)]

a)

30

b)

242

c)

92

d)

2

22.

a)

2

b)

11

c)

-11

d)

-9

23.

Given f(x)= -3x+7 and g(x)=2x² - 8, find g(f(x)).

a)

g(f(x))= -6x²+31

b)

g(f(x))= -6x²+24

c)

g(f(x))=18x²-84x+90

d)

g(f(x))=9x²-42x-41

24.

$f\ \left(x\right)\ =\ 15x^2\ +\ x\ -\ 28$ and $g\ \left(\ x\right)\ =\ 3x^2\ +\ 2x\ -\ 8$

Find: f(x) / g(x)

a)

$\frac{15x^2\ +\ x\ -\ 28}{3x^2\ +\ 2x\ -\ 8}$

b)

$\frac{\left(3x\ -\ 4\right)\ \left(\ 5x\ +\ 7\right)}{3x^2\ +\ 2x\ -\ 8}$

c)

$\frac{3x\ +\ 4}{x\ +\ 2\ }$

d)

$\frac{5x\ +\ 7}{x\ +\ 2}$

25.

$f\left(x\right)\ =\ 9x^2\ -24xy\ +16y^2$ $g\left(x\right)\ =9x^2\ -16y^2$ Find g(x) / f(x)

a)

$\frac{9x^2\ -\ 16y^2}{9x^2\ -24xy\ +\ 16y^2}$

b)

$\frac{3x\ +4y}{3x\ -4y}$

c)

$\frac{3x\ -\ 4y}{3x\ -\ 4y}\ =\ 1$

d)

$\frac{3x\ -\ 4y}{3x\ +\ 4y}$

Formative Assessment 2

Total questions: 25

Worksheet time: 53mins

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