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Sample Test | Math Seminar

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

Multiply the following polynomial.

(3x – 5)(2x2 – 4x + 7)

a)

6x4-22x2+41x-35

b)

6x3-22x2+41x-35

c)

6x3-22x2+41x-25

d)

9x3-22x2+41x-35

2.

Bulan rows on a crew team. Her team rows their boat at a split rate of 2 min/ 500 m.

What is Bulan's team's rowing rate in m/min ?

a)

1m / 250 min

b)

250m / 1min

c)

1000min / 1m

d)

25m/ 1 min

3.

Find the average rate of change of ƒ over the interval 0 ≤ x ≤ 9

a)

4/10

b)

2/5

c)

9/10

d)

10/9

4.

Expand the following binomial using the binomial theorem.

(2m-1)4

a)

12m4-32m3+24m2-8m+1

b)

16m4-32m3+24m2-8m+1

c)

16m4+2m3+24m2-8m+1

d)

16m4-32m3+24m2-8m-1

5.

Factor the polynomial .

8m2-6m-9

a)

(2m-3)(4m+3)

b)

(3m-2)(4m+3)

c)

(4m-3)(2m-3)

d)

(2m-2)(4m+3)

6.

Use the graph of the function f to find

(a) the domain of f,

(b) the range of f.

a)

a.the domain of f is all x in the interval [–1, 5).

b. the range of f is the interval [–3, 3].

b)

a.the domain of f is all x in the interval [–3, 3).

b. the range of f is the interval [–1, 5].

c)

a.the domain of f is all x in the interval [–1, 5).

b. the range of f is the interval [3, -3].

d)

a.the domain of f is all x in the interval [–1, 5).

b. the range of f is the interval [4, -3].

7.

f(x)=(12-x)2+4. Find the value of f(9)

a)

22

b)

10

c)

15

d)

12

8.

Solve the following polynomial equation by factoring.

x3 + 5x2 = 9x + 45

a)

x = -5, -3, 3

b)

x = 3, 5, 15

c)

x = 5, 3, -3

d)

x = 15, -3, 3

9.

A rental company charges a flat fee of $30 and an additional $0.25 per mile to rent a moving van. Write a linear equation to approximate the cost y (in dollars) in terms of

x, the number of miles driven.

How much would a 75 mile trip cost?

a)

$90

b)

$45.25

c)

$48.75

d)

$48.80

10.

Kaia throws a stone vertically upward from a bridge. The height in meters, of the stone above the water at a time t can be modeled by the quadratic function:

h(t)= -4.9t2+9.8t+39.2

After how many seconds does the stone hit the water?

a)

2 seconds

b)

4 seconds

c)

1 second

d)

8 seconds