Free Printable Algebra 1 Sem. 1 Final

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Algebra 1 Sem. 1 Final

Total questions: 50

Worksheet time: 2hrs 22mins

Name

Class

Date

What are the zeros?

x= 0 and x= -4

x= 0 and x= 4

y= 0

x= 2

Write the equation in slope-intercept form.

y + 1 = 2(x - 2)

y = 2x - 2

y = 2x - 3

y = 2x - 4

y = 2x - 5

Write an equation in point-slope form for the line that passes through the given point with the slope provided.

(2, -1), m = -3

y - 1 = -3 (x + 2)

y + 1 = -3 (x - 2)

y - 2 = -3 (x + 1)

y + 2 = -3 (x - 1)

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

a reflection across the line x = -4

a reflection across the line y = -4

a translation shifting f(x) 4 units to the left

a translation shifting f(x) 4 units to the right

If the blue is f(x)=x^2,the red must be

g(x)=(x+3)²

g(x)=(x-3)²

g(x)=x²+3

g(x)=x²-2

Which inequality is represented by the words " no more than" or "at most"?

≤

≥

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

6x + 8 ≥ 42

8x + 6 ≤ 42

6x + 8 > 42

8x + 6 < 42

Match the inequality to the word problem.Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?

25 - 12x ≥ 200

25 + 12x ≥ 200

13x ≥ 200

25 + 12x > 200

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

5x + 10 ≥ 100

5x - 100 ≥ 10

10x + 5 ≤ 100

5x + 10 > 100

10.

Which inequality is represented by the words " more than"?

≤

≥

11.

Which inequality is represented by the words "less than"?

≤

≥

12.

Which inequality is represented by the words " at least"?

≤

≥

13.

Select the graph for y > -2x - 3

14.

Which point below is NOT part of the solution set?

(0, 0)

(-10, -10)

(-1, 5)

(5, 20)

15.

Which of the following equations match the given graph?

y > 2x - 5

y ≥ 7/4x + 2

x < -5

x > -5

16.

What is the range of the following graph?

all real numbers

all integers

any real number greater than zero

it can not be determined

17.

What is the domain?

{0, 1, 2, 15}

(0, 1, 2, 3}

{3, 7, 11, 15}

{3, 7, 11, 3}

18.

What is the range?

{1, 2, 3, 5}

{-1, -2, -3, -4, -5}

{1, 2, 3, 4, 5}

{-1, -2, -4, -8, -16}

19.

What is the range?

{1, 2, 3, 4, 5, 6}

{0, 1, 2, 3, 4, 5, 6}

{2, 4, 8}

{-1, 0, 1, 2, 3, 6}

20.

What is the domain?

{1, 2, 3, 4, 5, 6}

{0, 1, 2, 3, 4, 5, 6}

{2, 4, 8}

{-1, 0, 1, 2, 3, 6}

21.

The set of all the inputs of a relation are called _____.

domain

range

22.

The set of all the outputs of a relation are called _____.

domain

range

23.

24.

What is the rate of change for the following graph?

160

25.

What is the y-intercept shown on the graph?

(0, -2)

(3, 0)

(0, 3)

None of these.

26.

What is the x-intercept shown on the graph?

(2, 0)

(-2, 0)

(0, 3)

(3, 0)

27.

Which ordered pair could represent the y-intercept of a function.

(0, 4)

(4, 4)

(4, 0)

None of these.

28.

Which ordered pair could represent the x-intercept of a function.

(0, 4)

(4, 4)

(4, 0)

None of these.

29.

Given the two points: (0, 6) and (6,18), write the equation of the line.

y = 2x + 6

y = 1/2x + 6

y = 1/3x + 6

y = 3x + 6

30.

Write the equation of the line in slope-intercept form through (0, -2) and (1, -3)

y = -3x - 2

y = -2x - 3

y = x - 2

y = -x - 2

31.

What is the range?

-3 ≤ y < ∞

-1 ≤ y < ∞

All real numbers

-∞ < y ≤ -1

32.

Identify the domain and range of the function.

Domain: -6 ≤ x ≤ 2

Range: -3 ≤ y ≤ 5

Domain: All real number

Range: -3 ≤ y ≤ 5

Domain: All real numbers

Range: -∞ < y ≤ 3

Domain: All real numbers

Range: 3 ≤ y < ∞

33.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

h = 2C + 15

C = 15h + 2

h = 15C + 2

C = 2h + 15

34.

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

40x + 20 = 340

20x + 40 = 340

20x - 40 = 340

20 + 340 = 40x

35.

A student is taking a test that has 10 questions on it. The student's score is a function of how many questions he misses: f(x)=100-10x, where x is the number of questions incorrect. What is the domain?

0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

0 < x < 10

x < 10

36.

The total cost in dollars, c, to purchase video games online can be found using the function c = 16.95x + 4.75, where x is the number of video games purchased. If at least 4 games but no more than 7 games are purchased online, what is the range of the function for this situation?

{4, 5, 6, 7}

4 ≤ x ≤ 7

72.55 ≤ c ≤ 123.50

{72.55, 89.50, 106.45, 123.40}

37.

Choose the correct graph.

38.

Select the correct graph for each inequality.

39.

Select the correct graph for each inequality.

40.

Write an equation that is parallel to
y = -2x+6
and runs through the point (-4, 6)

y=- 2x-2

y=2x-2

y=2x+2

41.

Write an equation that is parallel to
y = 6x-15
and runs through the point (18, 9)

y = 6x - 99

y = 6x + 9

y = - 6x - 99

42.

Are the lines parallel, perpendicular, or neither?
$y=4x+7$ $y=-\frac{1}{4}x+2$

Parallel

Perpendicular

Neither

43.

Are the lines parallel, perpendicular, or neither?

y=x+5

y=x-1

Parallel

Perpendicular

Neither

44.

Solve for b:
3(b - 4) = -3

b = 3

b = -3

b = 5

b = -5

45.

Solve for x:

7(2x - 4) = 42

x = 5

x = 8

x = 2

x = 9

46.

Solve for b:
-11 + 3(b + 5) = 7

b = 1

b = -1

b = 3

b = -3

47.

What is the equation of this line?

x=2

y=2

x=-2

y=-2

48.

What is the equation of this line?

x=-3

x=3

y=-3

x=-1.5

49.

What is the equation of this line?

x=1

y=1

x=-1

y=-1

50.

Given the two points: (0, 6) and (6,18), What is the y-intercept?

-6

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Algebra 1 Sem. 1 Final

Total questions: 50

Worksheet time: 2hrs 22mins

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