Free Printable 1st Semester Algebra 1 Final Practice

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1st Semester Algebra 1 Final Practice

Total questions: 66

Worksheet time: 13hrs 19mins

Name

Class

Date

When x=5, evaluate (7 - x) / (x - 4)

1/2

-2

Evaluate the expression:

|–3|

–3

None of these

Evaluate the expression:

6 – |–5|

–1

–11

Evaluate

When x=8 sqrt(2x) + 3

sqrt is in place of a radical sign

Evaluate |x| when x = -12

|12|

|-12|

-12

∣ 2x + 9 ∣ = 15

x = 3

x = 3
x = -6

x = 3
x = -12

x = 6
x = -12

Solve:
7x - 3x - 8 = 24

-8

3.2

u/4=8

Solve the equation
12x - 15 = 3(2x+3)

x = 4

x = -4

x = 2

x = -2

10.

-4x + 14 ≤ 54

x ≥ - 10

x ≤ -10

x ≥ 10

x ≤ 10

11.

What inequality does the number line graph represent.

x < 2

x > 2

x ≥ 2

x ≤ 2

12.

Which is the solution of
-6a ≥ -36

a ≥ 6

-6 ≥ a

a ≤ 6

6 ≤ a

13.

What inequality is graphed?

x > 2 and x ≤ -3

x > 2 and x < -3

x > 2 or x ≤ -3

x > 2 or x < -3

14.

Solve: -3 ≤ 2x - 1 ≤ 5

-1 ≤ x ≤ 3

-1 < x < 3

1 < x < 3

1 ≤ x ≤ 3

15.

Solve:
3x + 2 < -4 or 4x + 4 > 24

x < -2 or x > 5

x < 2 or x > 5

x < -2 and x > 5

x < 2 and x > 5

16.

What inequality is graphed?

x > 2 and x < 4

2 ≤ x ≤ 4

x > 2 or x < 4

x ≥ 2 or x ≤ 4

17.

| x + 1 | ≥ 3

No Solution

All Real Numbers

x ≤ -4 or x ≥ 2

-4 ≤ x ≤ 2

18.

| 2w - 1 | < 11

No Solution

All Real Numbers

-5 < w < 6

-6 < w < 5

19.

Evaluate f(-5)

-4

20.

Evaluate f(x)=-2x+13 for f(10)

-7

-8

21.

What is f(2)?

-4

22.

g(x) = 3x + 1
g(2) = _______

23.

A student plants seeds at varying depths. He measures the growth of the plants over the next few weeks.

What is the dependent variable?

Student

planting depth

amount of water

growth of plant

24.

A student plants seeds at varying depths. He measures the growth of the plants over the next few weeks.

What is the independent variable?

Student

planting depth

amount of water

growth

25.

All of the x values or inputs are called what?

Domain

Range

Relation

Function

26.

Which graph does NOT pass the vertical line test?

Graph 1

Graph 2

Graph 3

Graph 4

27.

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)

28.

Is the relation a function? Why.

Yes, because the x-value 11 has two y-values pair with it.

Yes, because each x-value has only one y-value paired with it.

No, because the x-value 11 has two y-values pair with it.

No, because each x-value has only one y-value paired with it.

29.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

D: {1, -3, -4,}
R: {0, 1, 2, -4}

D:{-4, 0, 1, 2}
R:{-4, -3, 1}

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

30.

Function

Not a Function

31.

Is this relation a function?

Function

Not a Function

32.

All of the y values or outputs are called what?

Domain

Range

Relation

Function

33.

Does this mapping diagram represent a function?

No, because there are repeating input values

Yes, because there are no repeating input values

34.

Write the equation for the line in slope-intercept form.

y= -1x+3

y= 4x+3

y=1/4x+3

y= -4x+3

35.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

slope: 5 y-intercept: (0,3)

slope: 3/2 y-intercept: (0,3)

slope: 4 y-intercept: (0,3/2)

slope: 1/5 y-intercept: (0,5)

36.

Find the slope

-3

Not a constant slope/Non-Linear

37.

Find the slope of the line.

-2

-1

38.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

1/2

-1/2

-2

39.

Find the slope of the line that passes through
(10, 1) and (5, 2)

1/5

-1/5

-5

40.

Give the y-interecept
3x + y = 5

-3

(0,5)

-5

(0, -3)

41.

Give the x-intercept
3x + 8y = 24

(8, 0)

(0, 8)

(3, 0)

(0, 3)

42.

What is the x and y intercept for the following equation ?
4x - 10y = 20

x - int = 4
y-int = -10

x-int = 5
y-int = 2

x - int = 5
y int = -2

x -int = 4
y -int = -10

43.

Write an equation for the line shown by counting the slope and identifying the y-intercept.

y = -2x + 2

y = 2x + 2

y = 1/2x- 2

y = -1/2x + 2

44.

Write an equation of the line in slope-intercept form with a slope = 3 and y-intercept = -5.

y = -5x +3

y = -3x + 5

y + 5 = 3x

y = 3x - 5

45.

Slopes of parallel lines are ______________________.

opposite reciprocals.

opposites.

identical/same.

always 7.

46.

Slopes of perpendicular lines are ____________________.

opposite reciprocals.

opposites.

identical/same.

always 7.

47.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

y + 1 = -3(x - 2)

y + 1 = -3(x + 2)

y - 1 = 3(x - 1)

y + 2 = -3(x + 1)

48.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

y +7 = -1/4(x - 4)

y - 4 = -1/4(x + 7)

y+ 7 = 4(x - 4)

y - 7 = -1/4(x - 4)

49.

Which point below is NOT part of the solution set?

(0, 0)

(-10, -10)

(-1, 5)

(5, 20)

50.

Which point below IS part of the solution set?

(0, 2)

(5, 1)

(-1, -3)

(0, 5)

51.

Which of the following equations match the given graph?

y ≤ -3/4 x + 3

y ≥ -3/4 x + 3

y < -3/4 x + 3

y > -3/4 x + 3

52.

Select the correct graph for each inequality.

53.

Find the 22nd term of the following sequence:
5, 8, 11, ...

54.

Identify the common difference.
97, 86, 75, 64, ...

-11

-8

55.

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

127

356

56.

y = 3x +2
y = 3x - 3
These lines are...

Parallel

Perpendicular

Neither

The same line

57.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

Parallel

Perpendicular

Neither

58.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

-2

1/2

-1/2

59.

What ways can a relation be represented?

mapping diagram

table

graph

set of ordered pairs

all of the above

60.

When graphing linear inequalities, you shade ABOVE when the symbols are....

< or ≤

> or ≥

61.

When graphing linear inequalities, you shade BELOW the line when the symbols are...

< or ≤

> or ≥

62.

When graphing linear inequalities, a solid line means that....

the line is a part of the solution

the line is NOT a part of the solution

63.

When graphing linear inequalities, a dashed line means that...

the line is a part of the solution

the line is NOT a part of the solution

64.

Bob received 5 shirts for his birthday. He buys 3 shirts each month. What equation represents this situation? Let x represent amount of shirts and y represent total amount of shirts.

y=3x+5

y=5x+3

y=-3x+5

65.

When a=2, b=3, c=4

Evaluate ABC - A

232

66.

Write an equation of the line that is parallel to the line y = 3x + 5 and whose y-intercept is (0,-7)

y = 3x + 5

y = 3x - 7

y = -3x - 7

y = -1/3x - 7

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1st Semester Algebra 1 Final Practice

Total questions: 66

Worksheet time: 13hrs 19mins

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