Free Printable A2CP S1 Exam Review

1.

Find the common difference: -34, -29, -24, -19, ...

a)

d = -5

b)

d = 5

c)

d = -6

d)

d = 6

2.

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

a)

-1, 7, 15

b)

-5, 2, 9

c)

3, 12, 21

d)

-65, -73, -81

3.

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

(Hint: Write the explicit rule first, then use it to solve)

a)

-216

b)

-148

c)

-146

d)

-150

4.

Create the explicit formula for the sequence:

2, 8, 14, ...

a)

y = 2 + 6x

b)

y = -6 + 6x

c)

y = 6x - 4

d)

y = 4 - 6x

5.

Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .

a)

a(n) = -2n + 8

b)

a(1) = 6

a(n) = a(n - 1) - 2

c)

a(0) = 6

a(n) = a(n - 1) + 2

d)

a(0) = 6

a(n) = a(n - 1) - 2

6.

Select the explicit rule that represents the sequence.

a)

6 + 5(n - 1)

b)

4 + 6(n - 1)

c)

6 - 4(n - 1)

7.

The next term of the geometric sequence

4, 16, 64, ...

is

a)

256

b)

132

c)

120

d)

150

8.

What is the common ratio for the following sequence:

3, 15, 75, 375, ...

a)

12

b)

1/5

c)

5

d)

3

9.

Find the 9th term in the following geometric sequence:

4, 8, 16, 32, ...

a)

384

b)

512

c)

768

d)

1,024

10.

Write a recursive formula for the following sequence:

16,8, 4, 2,...

a)

a₁=16

a_n=a_n-1 (2)

b)

a₁=16

a_n=a_n-1 (1/2)

c)

a₁=16

a_n=a_n-1 + (1/2)

d)

a₁=16

a_n=a_{n-1 +} (2)

11.

Write the explicit formula for the sequence given by 3, 6, 12, 24, …

a)

^a_n= 3(2)^n-1

b)

^a_n= 3+(2)ⁿ

c)

^a_n= 3(2)ⁿ

d)

^a_n= 3+(2)^n-1

12.

What is a₅ in the sequence defined as follows?

a_n = 5 ⋅ 2^(n-1)

a)

a₅ = 160

b)

a₅ = 40

c)

a₅ = 10

d)

a₅ = 80

13.

Given the sequence:

125, 25, 5, ....

Write the rule a_n using the geometric sequence formula:

a)

a_n = (125)(1/5)^(n-1)

b)

a_n = 625(1/5)^(n-1)

c)

a_n = 625(5)^(n-1)

d)

a_n = 125 + 5n

14.

You have $10 in your bank account. It doubles in the first month and every month thereafter. How much money will you have after 5 months?

a)

$50

b)

$35

c)

$320

d)

$250

15.

After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day.

How many weeks will it be before you are jogging 60 minutes per day?

a)

7 weeks

b)

8 weeks

c)

9 weeks

d)

10 weeks

16.

There were originally 1400 alligators in the Florida Everglades. Since then, the population of alligators has increased by 5% each year. How long will it take for the population to be more than 2000?

a)

15 years

b)

9 years

c)

7 years

d)

8 years

17.

What is the equation for the axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

18.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

19.

Find the y-intercept of f(x) = 2x²- 2x + 1

a)

2

b)

-2

c)

1

d)

-1

20.

Does y = -4x² have a maximum or minimum value?

a)

maximum

b)

minimum

21.

Determine the vertex of the parabola:
y = 5x²- 20x + 13

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

22.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

23.

Solve the quadratic function.

$2p^2-4p-16=0$

a)

p = 2 or p = -1

b)

p = 1 or p = -2

c)

p = 4 or p = -2

d)

No solution

24.

Which of the following equations represents the standard form of a quadratic function?

a)

$y=ax^2+bx+c$

b)

$y=a\left(x-b\right)\left(x-c\right)$

c)

$y=a\left(x-h\right)^2+k$

25.

Which of the following equations represents the vertex form of a quadratic function?

a)

$y=ax^2+bx+c$

b)

$y=a\left(x-b\right)\left(x-c\right)$

c)

$y=a\left(x-h\right)^2+k$

26.

Which of the following equations represents the factored form of a quadratic function?

a)

$y=ax^2+bx+c$

b)

$y=a\left(x-p\right)\left(x-q\right)$

c)

$y=a\left(x-h\right)^2+k$

27.

What form is the equation:

y = (x - 5)(x - 1)

a)

standard

b)

vertex

c)

factored

28.

What form is the equation:

y = x² - 6x + 5

a)

standard

b)

vertex

c)

factored

29.

What form is the equation:

y = (x - 3)² - 4

a)

standard

b)

vertex

c)

factored

30.

Use the graph to identify the vertex.

a)

(5, -2)

b)

x=5

c)

(4,0)

d)

(6,0)

31.

Classify the following polynomial

a)

quartic polynomial

b)

quadratic polynomial

c)

quartic trinomial

d)

quadratic trinomial

32.

______________________________ arranges the terms by degree in descending numerical order.

a)

degree of polynomial

b)

polynomial

c)

terms

d)

standard form of polynomial

33.

What is the degree?
- 3x³ - x² - 10x + 12

a)

1

b)

2

c)

3

d)

4

34.

Classify by number of terms:
3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

35.

Classify by degree of polynomial:
3x³ – 6x

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

36.

Which of the following is a 5th degree trinomial with a leading coefficient of -2?

a)

-2x⁵ + 3x - 1

b)

5x^-2 +3x - 1

c)

-2x⁵ + 3x⁴ + 2x³ + x² - 10

d)

2x + 5

37.

(4x - 2x³) + (5x³ - 4x + 5)

a)

3x³ + 5

b)

3x³ + 8x + 5

c)

3x² + 5

d)

7x³ + 8x + 5

38.

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

39.

(x + 5)(x + 4)

a)

x² + x + 20

b)

x² + 20x + 9

c)

x² + 9x + 20

d)

x² - 9x + 54

40.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

41.

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

a)

Growth

b)

Decay

42.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

43.

Is this exponential growth or decay?

a)

Growth

b)

Decay

44.

Linear, exponential, or neither?
Amount triples each year

a)

Linear

b)

Exponential

c)

Neither

d)

All of the above

45.

Linear, exponential, or Quadratic?

a)

Linear

b)

Exponential

c)

Quadratic

d)

All of the above

46.

Linear, exponential, or neither?
y = 4 + 2x

a)

Linear

b)

Exponential

c)

Neither

d)

All of the above

47.

Suppose the population of a species of insects doubles every year. There are 1600 insects initially. The function for the scenario would be?

a)

$f\left(x\right)=2x+1600$

b)

$f\left(x\right)=1600\times2$

c)

$f\left(x\right)=1600\cdot2^x$

48.

a)

Left 2, Down 2, Vertical Stretch

b)

Right 2; Up 1;

c)

Vertical Stretch; Right 2; Up 1

d)

Left 2; Down 2;

49.

If the blue graph is
f(x) = x²the red must be...

a)

g(x) = (x + 3)²

b)

g(x) = (x - 3)²

c)

g(x) = x²+ 3

d)

g(x) = x²- 2

50.

Describe the transformations of the exponential function shown.

$y\ =\ -4\left(3\right)^{\left(x-5\right)}-2$

a)

Reflection over the x-axis, stretch by factor of 4, shift right 5 and shift down 2.

b)

Shift right 5 and shift down 2.

c)

Reflection over the x-axis, shift left 5 and shift down 2.

d)

Shift right 5 and shift up 2.

A2CP S1 Exam Review

Total questions: 50

Worksheet time: 4hrs 10mins

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