Algebra 150 Fall Final Exam

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The questions are in the form of multiple choice, select all that apply and fill in the blank. Each questions is worth 1 point and the vocabulary words are worth 1point each for a total of 35 points. Please read all questions thoroughly and solve on paper before making a selection.

Name: Date: *

1. Which of the following operations will produce an irrational number? *

Standard: RN.B.1

1 point

A & C only

B only

D & C only

A & B only

None of the above

All the above

Other:

2. Solve the equation for x. 6x – 4(3x – 5) = 2 *

Standard: REI.A.1

1 point

x = 11/3

x = 3

x = -3

x = -11/3

3. How many solutions are there to the following equation? 5(x - 3) – 3x = 8x – 15 – 6x *

Standard: REI.A.1

1 point

no solution

exactly one solution

exactly two solutions

infinitely many solutions

Other:

4. Solve the compound inequality 6 – x > 15 or 2x – 9 ≥ 3. *

Standard: CED.A.1

1 point

x > 9 or x ≤ 6

x < 9 or x ≥ -6

x> -9 or x ≤ -6

x < -9 or x ≥ 6

5. Solve the absolute value equation | x - 2 | - 7 = -3 *

Standard: REI.A.1

1 point

x = -2; x = 6

x = 2; x = -6

x = -2; x = -6

x = 2; x = 6

6. What does the graph of y = 1/2x -1 look like? (Draw the graph using a coordinate plane) *

Standard: CED.A.2

1 point

Option 1

Option 2

Option 3

Option 4

Other:

7. Which is an equation of the line passes through the points (-8, -4) and (4, 5)? *

Standard: CED.A.2 & DS.A.6

1 point

y = 3/4 x + 2

y = -3/4 x - 2

y = 4/3 x + 31/3

y = -4/3 x- 1/3

Other:

8. An error was made when writing the equation in point-slope form of the line that passes through the point (6, -2) and has a slope of 3; if y - 2 = 3(x + 6). Which selection below is the correct formula? *

Standard: CED.A.2 & DS.A.6

1 point

y + 2 = -3(x - 6)

y + 2 = 3(x - 6)

y + 2 = -3(x + 6)

y - 6 = 3(x - 6)

9. What are the x- and y- intercepts of the graph of 5x – 4y = 20? x- intercept: ____ & y-intercept: ____ *

Standard: CED.A.3

1 point

x- intercept: -4 & y-intercept: -5

x- intercept: 4 & y-intercept: -5

x- intercept: -4 & y-intercept: 5

x- intercept: 4 & y-intercept: 5

Other:

10. Which lines are perpendicular to the graph of 3x + 6y = 5? Select all that apply. *

Standard: LQE.A.3

1 point

A. 3x + 6y = 10

B. y = 2x – 1

C. y – 4 = 2(x + 7)

D. x – 2y = -6

Other:

Required

11. Identify the domain and range of the function. *

Standard: If.A.1

1 point

Domain: 7,12,21 & Range: 9,10

Domain: 7,12,21 & Range: 9, 9, 9,10

Domain: 7, 9,12 & Range: 9,10

Domain: 7, 9,12, 21 & Range: 9,10

Other:

12. Solve -2x ≥ -18 and graph the solution on a number line using a piece of paper. *

Standard: CED.A.1

1 point

x ≤ 9

x ≤ -9

X ≥ -9

X ≥ 9

13. Identify all the possible inverse operation needed to solve the equations 2(x + 1)=3x - 4? Select all that apply. *

Standard: REI.A.1

1 point

Divide two by both sides of the equation

Multiply two throughout the paranthesis

Subtract two from both sides of the equation

Subtract four from both sides of the equation

Divide three from both sides of the equation

Other:

Required

14. Which statement about the lines below is true? Select all that apply. 4y = −16 and 3x = 27 *

Standard: LQE.A.3

1 point

Line 4y = −16 is horizontal.

Line 3x = 27 is vertical.

For both lines, all points on the line have an x- and a y-coordinate.

For either line, one of the coordinates of all the points is always the same value.

Required

15. *

Standard: IF.A.2

0 points

f(x) = 2x + 3

f(x) = -2x + 3

f(x) = 2x - 3

f(x) = -2x - 3

16. Graph the solution to the inequality -2x + 2 ≤ 8 using a number line on separate paper and identify the solution below. *

Standard: CED.A.1

1 point

x ≥ -3

x ≥ 3

x < -3

x > -3

17. Which relations are functions? Select all that apply. *

Standard: IF. A.1

1 point

Option 1

Option 2

Option 3

Option 4

Required

18. Are the following lines parallel, perpendicular or neither? 5x+2y=14 and y= -5x+9 *

Standards: LQE.A.3

1 point

parallel

perpendicular

neither

19. Which line is parallel to 8x + 2y = 7? *

Standards: LQE.A.2

1 point

y - 1 = 4(x + 8)

y = -4x + 15

y =-6x

3x + 4y = 9

y= -3x

20. Classify the following numbers as rational or irrational by arranging them in the proper columns. {1/7, √3, 0, √25, 4.5, -√64, -0.67, π, 0.12376541234…, -.0879654532…..} *

Standard: RN.B.1 & SSE

1 point

21. Zakayla wants to buy a car and has already saved $500. If she works part-time to earn more money, then the amount she will have in total after working x hours is given by the equation y=11.75x + 500. How much does Zakayla earn per hour? *

Standard: DS.A.6

1 point

$11.70

$11.75 + 500

$11.75 - 500

$11.75

22. Match the vocabulary words to its definition. *

15 points

two lines in the same plane that never intersect

input; x-value of a ordered pair

quantities that are expressible, as a ratio of whole numbers

any value for the variable will make the equation true

a two-dimensional number line where the vertical line is called the y-axis and the horizontal is called the x-axis

the measure of the steepness of a line.

a real-valued function whose graph does not have any breaks or holes

exactly one input is assigned to an output

a line that can be represented in various ways

to substitute number values into an expression

A set of data where the values belonging to the set are distinct and separate (unconnected values)

when all values are any distance away from zero

The relationship between two lines which meet at a right angle (90 degrees

not expressible as a ratio of two integers

These properties allow you to balance and solve equations involving real numbers

Linear

one-to-one

properties of equality

domain

evaluate

irrational

rational

parallel

perpendicular

infinitely many

coordinate plane

slope

continuous function

discrete function

absolute value

two lines in the same plane that never intersect

input; x-value of a ordered pair

quantities that are expressible, as a ratio of whole numbers

any value for the variable will make the equation true

a two-dimensional number line where the vertical line is called the y-axis and the horizontal is called the x-axis

the measure of the steepness of a line.

a real-valued function whose graph does not have any breaks or holes

exactly one input is assigned to an output

a line that can be represented in various ways

to substitute number values into an expression

A set of data where the values belonging to the set are distinct and separate (unconnected values)

when all values are any distance away from zero

The relationship between two lines which meet at a right angle (90 degrees

not expressible as a ratio of two integers

These properties allow you to balance and solve equations involving real numbers

Linear

one-to-one

properties of equality

domain

evaluate

irrational

rational

parallel

perpendicular

infinitely many

coordinate plane

slope

continuous function

discrete function

absolute value

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