Free Printable Algebra Final

Worksheets

Algebra Final

Total questions: 50

Worksheet time: 2hrs 4mins

Name

Class

Date

Which ordered pair below would prevent this table from being a function?

(10, 10)

(2, 4)

(6, 1)

(-2, 0)

Write a linear function f given f(5) = 7 and f(-2) = 0

f(x) = -x + 2

f(x) = x - 2

f(x) = x + 2

f(x) = -x - 2

A function is: f(x)=7+3x
Find f(10)

317

Which graph is NOT a function?

Graph 1

Graph 2

Graph 3

Graph 4

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

(-2,5)

(-2,-5)

(2,-5)

(2,5)

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

x + y = 33
y = 2x - 3

x + y = 33
x = 2y - 3

x + y = 33
x = 3 - 2y

x + y = 3
x = 33 - 2y

What is the solution?

(1, -1)

(-1, 1)

(0, -2)

(2, 0)

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

5n+1

-5n+1

-2n+1

-6n-1

What is the equation for the axis of symmetry?

y=3

x=3

x=5

x=1

10.

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

-2

-1

11.

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

maximum

minimum

12.

What is the vertex of the quadratic function:
y = x² - 6x + 11?

(3,2)

(-3,-2)

(-3,2)

(3,-2)

13.

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

(5, -7)

(-2, -7)

(2, -7)

(-7, -2)

14.

What is the formula to find the vertex of a parabola?

x = -b/2

x = -b

x = -b / (2a)

x = -b / 2

15.

The axis of symmetry line passes through which point?

y-intercept

any random point

vertex

none of these

16.

What are the x- intercepts?

x= 0 and x= -4

x= 0 and x= 4

y= 0

x= 2

17.

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

y-intercepts

zeros

x-axis

none of these

18.

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

minimum: 2

maximum: 2

minimum: 5

maximum: 5

19.

Find the solutions. (Solve for b.)

-2, 4

-8

8, -8

2, -4

20.

21.

22.

What is the range of this quadratic graph?

y ≥ 0

y ≤ 0

All real numbers

y ≥ -1

23.

What is the domain of this quadratic graph?

y ≥ 0

y ≤ 0

All real numbers

y ≥ -1

24.

Using your calculator, graph y = 2x² + 4x - 3 and identify the max or min.

Max: (-1, -5)

Min: (-1, -5)

Max: (-5, -1)

Min: (-5, -1)

25.

What is the maximum height of the ball?

0.5 feet

9 feet

0 feet

5 feet

26.

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

27.

Given the points (3, 5) (2, 4) (9, 0) and (?, 6). What could replace the ? to create a non-function?

28.

Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)

(3, 7)

(4, 1)

(1, 9)

(2, 6)

29.

Is this table a function or not a function?

Function

Not a Function

30.

If f(x)=2x+25, find f(5).

f(5) = 60

f(5) = 40

f(5) = -15

f(5) = 35

31.

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.

32.

Which equation represents the line that passes through the point (1,5) and has an undefined/no slope?

x=1

x=5

y=1

y=5

33.

Which equation describes the graph?

2y+5x=10

5x+2y=1

2x+5y=1

y=2x+5

34.

√96

4√6

3√6

6√5

6√8

35.

Which is equivalent to √121p⁵r⁷s⁴?

11prs √pr

11p^2.5r^3.5s²√pr

11p²r³s²√pr

11p²r³s²

36.

The square root of 64x⁸y⁶is ?

32x⁴y³

8xy

8x⁴y³

37.

Simplify completely.

8√3xy

y√24xy

8y√3xy

8√24x

38.

Simplify √(32a³)

2a√(8a)

16a√(2a)

4a²√(2a)

4a√(2a)

39.

When graphing $y\ge-\frac{2}{7}x+1$ , you will draw which of the following.

A dotted line

A solid line

Shade up

Shade down

40.

When graphing $y<\frac{3}{5}x-4$ , you will draw which of the following.

A dotted line

A solid line

Shade up

Shade down

41.

Which inequality describes this graph...

y < 3x - 2

y > 3x + 2

y < 3x + 2

y > 3x -2

42.

According to the graph, which point is a solution? Choose all that apply.

(0, 0)

(4, 2)

(-1, -5)

(-3, 0)

43.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

Yes because it is located in the shaded region.

No because it is located on the line and the line is dotted.

Yes because it is located on the line.

No because it is in the shaded region.

44.

Which inequality below is equivalent to

3x - y > 4

y > 3x - 4

y < -3x + 4

y < 3x - 4

y > -3x + 4

45.

Which of the following is "NOT" a solution for the inequality?

y ≤ 5x - 1

(0, -3)

(5, 24)

(-2, -15)

(1, 7)

46.

Which of the following is not a solution to this system of inequalities?

(0,-6)

(0,3)

(4,0)

(6,-2)

47.

When you graph an inequality, you used a solid line when you use which symbols?

≤, ≥

<, >

48.

What is the x intercept of x² - 9x + 20 = 0

x = -4 and x = -5

x = 20 and x = -9

x = 4 and x = 5

x = -4 and x = 5

49.

What is this?

This is the standard form of a quadratic function

This is the quadratic formula.

This is the zero product property.

This is the y intercept.

50.

The standard form of a quadratic function is

y = ax² + bx + c

x=-b/2a

y - y₁= m(x - x₁)

Ax + By = C

100 %

Algebra Final

Total questions: 50

Worksheet time: 2hrs 4mins

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