Free Printable Algebra 1 EOY Modules 1,3,4

Worksheets

Algebra 1 EOY Modules 1,3,4

Total questions: 70

Worksheet time: 4hrs 13mins

Name

Class

Date

Factor Completely.
$4x^2+24x-64$

$4\left(x+8\right)\left(x-2\right)$

$4(x^2+6x-16)$

$4\left(x^2+24x-16\right)$

$4\left(x-8\right)\left(x+2\right)$

Determine what type of function the following table is:

Linear

Quadratic

Exponential

Not a function

Determine what type of function the following table is:

Linear

Quadratic

Exponential

Not a function

Determine what type of function the following table is:

Linear

Quadratic

Exponential

Not a function

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

7x - 7x + 5x²

5x²+ 2x - 2

5x²

5x² + 6x + 8

What is the constant of this polynomial?

2x³- 8x²+ 3x - 7

-8

-7

What is the Area?

2x² - 3x - 18 inches²

2x² + 3x + 18 inches²

2x² + 9x - 18 inches²

2x² - 9x - 18 inches²

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

-8n² - 8n + 3

-7n² - 8n + 3

-6n²- 8n + 3

-7n² - 4n + 3

What is the Perimeter?

3x - 3 inches

6x - 6 inches

3x - 6 inches

6x - 3 inches

10.

"Subtracted from" and "less than" are terms that mean you need to "turn" or "flip" the terms around.

True

False

11.

Solve,

$8x-90=2x-36$
$x=$ (a)

12.

What is the first step you should take to solve this problem?

-3(x - 2) = -8 +9b

add 8 to both sides

subtract 9b from both sides

Distribute -3 to the x and -2

add 2 to both sides

13.

What is the error?

Adding 2x to 3x

Subtracting 5 from both sides

Adding 2x to -2x

Dividing by 5 on both sides

14.

Where is the first mistake?

Distribution of the 5

Distribution of the 10

subtracting 60x from both sides

dividing by -50

15.

What is the solution?

(1, -1)

(-1, 1)

(0, -2)

(0, 1)

16.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

(1, 5)

(5, 1)

(0.25, 2)

∅

17.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

3x + 2y = 315
2x + 4y = 450

3x + 2y = 450
2x + 4y = 315

2x + 2y = 315
3x + 4y = 450

18.

Solve for x and y
3x + 2y = 16
7x + y = 19

(-2,5)

(-2,-5)

(2,-5)

(2,5)

19.

-4x-2y=-12
4x+8y=-24

(5,6)

(6,-6)

(6,-2)

(4,-3)

20.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

1.5N+0.5S=78.5

N+S=87

1.5N+0.5S=78.5

1.5N+0.5S=87

N+S=78.5

1.5N+0.5S=87

N+S=78.5

N+S=87

21.

Which of the following graphs correctly represents:

y=x²

y=-2x+1

22.

What is the definition of function?

Has inputs and outputs

Every input has only ONE output

Inputs have different outputs every time

x-values and y-values

23.

Is this set of ordered pairs a function or not a function?

Function

Not a Function

24.

Is this graph a function or not a function?

Function

Not a Function

25.

Which graph does NOT pass the vertical line test?

Graph 1

Graph 2

Graph 3

Graph 4

26.

Which set of values is a function?

(9,5) (10,5) (9,-5) (10,-5)

(3,4) (4,-3) (7,4) (3, 8)

(6,-5) (7, -3) (8, -1) (9, 1)

(2, -2) (5, 9) (5, -7) (1, 4)

27.

Find the slope of:
2y + 8x = 6

-4

28.

Find the slope of:
y - 3x = 1

-3

29.

Given f(x) = 2x-3, what is the value of f(3)?

30.

Given f(x)= (2 + x )², what is the value of f(-3)?

-1

31.

Given f(x) = 3(6 -x), what is the value of f(-8)

-42

-6

32.

What is the Domain?

{-3, -1, 1, 3, 5, 7, 9}

{-3, -2, -1, 0, 1, 2, 3}

-3 ≤ x ≤ 3

-3 ≤ x ≤ 9

33.

IR = V
(solve for R)

R = IV

R = ^I/_V

R = ^V/_I

R = V - I

34.

Solve:
y = mx + b , for b

y - mx = b

y + mx = b

^y/_mx = b

y + mx = -b

35.

Solve:
V = πr²h , for h

V/(πr²) = h

V - πr² = h

V + πr² = h

V/π = h

36.

What values of b make an exponential growth function?

b > 0

b <1

b > 1

0 < b < 1

37.

What values of b make an exponential decay function?

b > 0

b < 1

b > 1

0 < b < 1

38.

In an exponential function, what does the 'a' represent?

Slope

Multiplier

y-intercept

Growth

39.

Which the following graphs shows an exponential decay equation?

40.

The equation for this table is

y = 1(2^x)

y = 1(12^x)

y = 12x

y = 12x + 1

41.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

y=5000(0.7)^x

y=30(5000)^x

y=5000(1.3)^x

y=5000x^x

42.

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

y = 6(0.14)^x

y = 6(1 + 14)^x

y = 6(1.14)^x

y = 6(0.86)^x

43.

An adult takes 800 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours?

101

102

103

104

44.

Denise has $80 in a savings account that earns 10% annual interest.

To the nearest cent, how much will she have in 3 years?

$106.48

$26.48

$104

45.

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

9,765

9,006

5,433

5,000

46.

State the Excluded Value(s)

x ≠ 2

x ≠ 2, 1

x ≠ 2, -1

x ≠ -2, 2, 1

47.

Calculate the average rate of change from 20 to 40 minutes.

-2 minutes per gallon

-20 minutes per gallon

-2 gallons per minute

-20 gallons per minute

48.

Average Rate of Change is also known as...

y-intercept

x-intercept

linear

slope

49.

A quadratic function is a function that is shaped as a ___________, a u-shaped curve.

line

parabola

quadratic

square

50.

A vertical line that cuts the parabola into 2 symmetrical halves. This always goes through the vertex and ALWAYS begins with "x=" This is sometimes called the "line of symmetry".

Parabola

Quadratic

Axis of Symmetry

Domain

51.

All possible y-values

Domain

Range

Parabola

Vertex

52.

Standard form of a quadratic equation

y=x²

y=ax²+bx+c

y=mx+b

y=x

53.

The vertex is defined as:

The maximum.

The minimum.

The highest or lowest point of the parabola.

The vertical height of the parabola

54.

Does this graph have a maximum or minimum value?

maximum

minimum

neither

both

55.

Does this parabola have a minimum or maximum and what is its value?

minimum: 2

maximum: 2

minimum: 5

maximum: 5

56.

What is another name for the x-intercepts and solutions of a quadratic?

y-intercept

Zeros

x-axis

They don't have another name

57.

Which of the following equations matches standard form of a quadratic?

ax + by = c

y = a(x - h)² + k

y = ax² + bx + c

y = mx + b

58.

Find the vertex of
f(x) = -x²- 4x + 12

(-2, 16)

(2, 0)

(2, 4)

(-2, 4)

59.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

x=-8

x=1

x=-1

x=2

60.

Given the sequence 2, 8, 14, 20, 26, ... What is the common difference?

61.

What is the eleventh term of an arithmetic sequence in which a1 = 3 and d = 6?

62.

Find the 8th term of a geometric sequence for which a1=2 and r = 7?

823,543

11,529,602

1,647,086

5,764,801

63.

What is the difference between an arithmetic sequence and a geometric sequence?

One is the sum of the numbers and one is just a list of numbers.

One has a common difference and one has a common ratio.

One you can write an nth term and one you cannot.

None of these are correct.

64.

Write a formula for the following sequence:

4, 12, 36, 108...

a_n = 4(3^n-1)

a_n = 4(3ⁿ)

a_n = 4+3n

a_n = 4(3n)

65.

Given $𝑎_n=12-n,\$ what is its $50^{th}$ term?

-40

-38

-36

-34

66.

Given $a_n=n^2+3,$ find $a_{16}$ .

256

259

302

305

67.

What are the first three terms of the sequence

a_n=n^2+3

4, 7, 12

4, 8, 16

4, 9, 16

4, 12, 36

68.

Solve
x² + 9x + 20 = 0

x = -2, x = -10

x = -3, x = -4

x = -4, x = -5

x = -4, x = -6

69.

Solve:
x² - 49 = 0

x = -7, x = 7

x = -7

x = 7

x = -7, x = 1

70.

Find the zeros of this quadratic.

b=4/5, b=3

b=4, b=-3

b=1/5, b=3

b=4/5, b=-3

Reset

Algebra 1 EOY Modules 1,3,4

Total questions: 70

Worksheet time: 4hrs 13mins

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