FINAL EXAM REVIEW The answer key is on the last slide so you can check your answers.

Slides:



Advertisements
Similar presentations
EXAMPLE 1 Write an equation of a line from a graph
Advertisements

A3 2.4 Parallel and Perpendicular Lines, Avg. rate of change
Writing Parallel and Perpendicular Lines Part 1. Parallel Lines // (symbol) All parallel lines have the same slope. Parallel lines will NEVER CROSS. Since.
2.2 Parallel and Perpendicular Lines and Circles Slopes and Parallel Lines 1. If two nonvertical lines are parallel, then they have the same slopes. 2.
Geometry Section 3.6 “Slope of Parallel and Perpendicular lines”
Copyright © Cengage Learning. All rights reserved.
2.5 Linear Equations. Graphing using table Graphing using slope and y-intercept (section 2.4) Graphing using x-intercept and y-intercept (section 2.5)
7.2 Review of Equations of Lines; Linear Models
EXAMPLE 2 Find a negative slope Find the slope of the line shown. m = y 2 – y 1 x 2 – x 1 Let (x 1, y 1 ) = (3, 5) and (x 2, y 2 ) = (6, –1). –1 – 5 6.
EXAMPLE 1 Write an equation of a line from a graph
Slope Lesson 2-3 Algebra 2.
Topics: Topic 1: Solving Linear Equations Topic 2: Solving Quadratic Equations Topic 3: Solving Proportions involving linear and quadratic functions. Topic.
Copyright © Cengage Learning. All rights reserved. 1.1 Lines in the Plane.
Advanced Algebra Notes
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Section 1.1 Slopes and Equations of Lines
PRE-ALGEBRA EXAM REVIEW BINGO Semester 1. BINGO ANSWERS ,600 undefinedQuadrant I x / 20 6x + 3 -¾ Negative5½ 12Quadrant III- 8.
Slopes and Parallel Lines Goals: To find slopes of lines To identify parallel lines To write equations of parallel lines.
Daily Homework Quiz Review 5.3
Point-Slope Formula Writing an Equation of a line Using the Point-Slope Formula.
1.Given slope (m) and y-intercept (b) create the equation in slope- intercept form. 2. Look at a graph and write an equation of a line in slope- intercept.
WRITE EQUATIONS OF PARALLEL AND PERPENDICULAR LINES November 20, 2008 Pages
Slope of a Line Chapter 7.3. Slope of a Line m = y 2 – y 1 x 2 – x 1 m = rise run m = change in y change in x Given two points (x 1, y 1 ) and (x 2, y.
Algebra I CAHSEE Review. Slope-Intercept Form  Graphs 1. Which of the following graphs represents the equation ? A.B. C.D.
Functions and Their Graphs 1.1 Lines in the Plane.
Linear Functions Slope and y = mx + b. Remember Slope… Slope is represented by m m = 0 Horizontal Line Vertical Line Slope up to the right Slope up to.
Drill #57 Write an equation in function notation for the following relations: {(-1, 6), (0, 3), (1,0)} XY XY
Linear Flyswatter First player to slap the correct answer to the problem on the top of the slide gets a point for his or her team.
Copyright © 2011 Pearson Education, Inc. Linear Equations in Two Variables Section 1.4 Equations, Inequalities, and Modeling.
Equations of Lines Standard Form: Slope Intercept Form: where m is the slope and b is the y-intercept.
Notes Over 2.1 Graphing a Linear Equation Graph the equation.
Rate of Change and Slope Objectives: Use the rate of change to solve problems. Find the slope of a line.
Notes A7 Review of Linear Functions. Linear Functions Slope – Ex. Given the points (-4, 7) and (-2, -5) find the slope. Rate of Change m.
Writing Equations of Lines. Find the equation of a line that passes through (2, -1) and (-4, 5).
Math 1111 Review for Test #1 Sections 1.2 – 2.1. Function or Not a Function? {(4, -5), (3, 4), (-2, 5)} A. Function B. Not a Function.
WARM-UP Solve each equation for y 1) 2) Determine if the following points are on the line of the equation. Justify your answer. 3) (3, -1) 4) (0, 1)
Write Equations of Parallel and Perpendicular Lines
1)-1 – 4 2) 0 – (-2) 4 – ( -3) -1 – (-2) 3)3 – 4 4) 2 – (-2) – 6.
MTH 100 The Slope of a Line Linear Equations In Two Variables.
Parallel and Perpendicular. 1. What is the slope of y = 3? a. 3 b. 0 c. Undefined d
1.3 Linear Equations in Two Variables. I. Using Slope.
Algebra I Final Exam Review. Simplify Answer: Write an exponential function which models the table below. XY
Section 2.2 – Linear Equations in One Variable
1. Write the equation in standard form.
3.4 Find and Use Slopes of Lines
Daily Homework Quiz Review 5.3
Equations of Lines and operations Practice
Quick Graphs of Linear Equations
How do we graph linear equations?
Topic: Slopes of Lines Section: 3-3 Concept.
Day 7 – Parallel and Perpendicular lines
3.4 Notes: Equations of Lines
Writing Equations of Lines
2.5 Linear Equations.
Chapter 3 Section 3.
Day 6 – Vertical & Horizontal Lines
EXAMPLE 1 Find slopes of lines in a coordinate plane
Final Review.
Chapter 3 Section 3.
EXAMPLE 1 Write an equation of a line from a graph
SYSTEMS.
Objectives Graph lines and write their equations in slope-intercept and point-slope form. Classify lines as parallel, intersecting, or coinciding.
Graphing Systems of Equations
Monday, October 18 Slope of a Line
Chapter 1 Test Review.
5.4 Finding Linear Equations
Rate of change and slope
Equations Graphing Lesson 4.
Check even answersp.23: / /3 28. none
Open ended Question Review…
Presentation transcript:

FINAL EXAM REVIEW The answer key is on the last slide so you can check your answers.

1. Describe the slope of a vertical line. A. Positive B. Negative C. Zero D. Undefined

2. Simplify: A. 16a 6 b 2 B. C.D.

3. Which of the following is NOT written in scientific notation? A. 7 x B x 10 6 C x 10 3 D x

4. The ordered pair (-1, 4) is a solution of which system of equations? A. x + y = 5 2x – y = -6 B. x + y = 3 2x – y = -6 C. x + y = 3 2x + y = -6 D. -x + y = 3 2x – y = 6

5. What is the solution of the system of equations graphed below? A.(2, 1) B.(1, 2) C.No solution D.Infinite solutions

6. What is the equation of the line which has a slope of 2 and passes through the point (3, –2)? A. y = -8x + 2 B. y = 2x + 7 C. y = 3x - 2 D. y = 2x - 8

7. Which is a pair of perpendicular lines? A. y = 3x – 2B. y = 2x + 4 y = -3x + 5 y = 2x – ¼ C. y = ½ x + 3D. y = ¼ x – 1 y = -2x + 1 y = 4x – 1

8. What is the equation of the line which passes through (-3, 0) and (-1, 4)? A. y = -3x + 4 B. y = 6x + 2 C. y = 2x - 6 D. y = 2x + 6

9.Solve the system of equations. x = 3y + 2 x + 2y = 12 A. (8, 2)B. (2, 8) C. (42, 14)D. No solution

10. What is the equation of the line which is parallel to y = 3x – 5 and passes through the point (2, -2)? A. y = 3x – 2B. y = 3x – 8 C. y = 3x + 4D. y = 3x + 2

11. Simplify in scientific notation: (3 x 10 3 )(2 x ) A. 6 x B. 5 x C. 6 x D. 5 x

12. Factor the trinomial: x 2 – 3x - 4 A.(x – 3)(x – 1)B. (x + 4)(x – 1) C. (x – 4)(x + 1)D. (x + 3)(x – 1)

13. Simplify: 2n 3 ∙ 3n 5 ∙ n 0 A.6n 8 B. 5n 15 C. 5n 8 D. 1

14.Solve the proportion: A. w = 4B. w = 11 C. w = 1D. w = 8

15. Convert to scientific notation: 302,000 A.3.02 x 10 5 B x C. 302 x 10 3 D x 10 -6

16. Find the slope of the line which passes through (-3, 2) and (-1, 3). A. ½B. ¼ C. - ½ D. 2

17. What is the equation of the graph below? A. x = 4 B. y = 4 C. x = -4 D. y = -4

18. What is the equation of the graph below? A. y = 2x - 1 B. y = -½ x - 1 C. y = x - 2 D. y = -2x - 1

19. Multiply: (x + 3)(x 2 + x – 1) A. x 3 + 4x 2 + 2x – 3B. x 3 + x 2 – 1 C. x 2 + 2x + 2D. 3x 2 + 3x – 3

20.Factor by grouping: n 2 + 3n – 2n - 6 A. (n + 2)(n + 3)B. (n + 3)(n – 2) C. (n – 3)(n – 2)D. Can’t do

21.What is the equation of the line which passes through the points (4, -1) and (0, 7)? A. y = 7x – 2 B. y = 2x + 7 C. y = -½ x + 7D. y = -2x + 7

22. What is the solution of the system of equations graphed below? A.(2, 1) B.(1, 2) C.No solution D.Infinite solutions

23. Describe the slope of a horizontal line. A. Positive B. Negative C. Zero D. Undefined

24. Solve the system of equations. y = 4x – 2 2x + 3y = 22 A. (6, 2) B. (2, 6) C. (1, 2) D. None of the above

25. How many solutions does the system have? y = 3x – 2 6x – 2y = 4 A. One B. Two C. None D. Infinite

26. Convert to scientific notation A x B x 10 5 C x D x 10 6

27. Simplify A. B. C. D.

28. What is the equation of the graph below? A. x = 4 B. y = 4 C. y = x + 4 D. y = 4x + 4

29. Which best describes the lines? y = ½ x x + y = 3 A. ParallelB. Perpendicular C. CoincidingD. None of the above (Same line)

30. Solve for x. 2(x – 3) = x + 5 A. x = 8B. x = 5.5 C. x = 11D. x = -1

31. Factor the trinomial. x 2 – 5x + 6 A. (x – 3)(x – 2) B. (x + 6)(x – 1) C. (x + 3)(x + 2) D. (x – 6)(x + 1)

ANSWER KEY See us before the exam if you have any questions on these! 1.D 2.C 3.C 4.B 5.A 6.D 7.C 8.D 9.A 10.B 11.A 12.C 13.A 14.B 15.A 16.A 17.C 18.D 19.A 20.A 21.D 22.C 23.C 24.B 25.D 26.A 27.B 28.B 29.D 30.C 31.A