Mr. Gomez

Algebra

8th Grade

Name___________________ Date___________

Important Concepts, Procedures, and Vocabulary

January of 2010-2011 Midterm Exam ReviewUnit 1 Linear relationships:

Recognize linear relationships from tables, graphs and applications.

o Identify the y-intercept form a table, an equation or grapho Identify when a relationship is direct variation

Linear relationships have a constant rate of _____________.

Explain how you find the slope from a table?

Look at the following and determine if they are linear and explain why or why not.

1.

x -25 -22 -19 -16y -18 -16 -14 -12

2.

x 1 2 3 4y 1 4 9 16

3. 4.

Mr. Gomez

Algebra

8th Grade

o Direct variation equations pass through the ______ in a coordinate plane. Also, their y-intercept is ______.

Determine if the following linear equations are direct variation and explain why or why not.

5. 6.

Find and interpret the slope from a table, word problem or graph.o Use rise over run.o Use the slope formulao Identify the rate of change

When do we use rise over run? Explain

7. Find the slope of the following:

f(x)=4x-5

f(x)=(-2/3)x+3

f(x)=(1/4)x-8

-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9

-9

-8

-7

-6

-5

-4

-3

-2

-1

1

2

3

4

5

6

7

8

9

x

y

Write down the slope formula?

Mr. Gomez

Algebra

8th Grade

When do we use the slope formula be specific?

Find the slope of the following and illustrate what the line might look like:

8. Find the slope of the following: 9. Find the slope of the following:

10. Find the slope of the following: 11.

Write linear equations and expressions from a table, word problem, or graph.o Write a linear equation given the slope and the y-intercept in slope intercept form.o Write a linear equation given two points in slope intercept form.o Write a linear equation given a graph, table or word problem of the line in slope-intercept form.o Match a table with graph and equation.

Write an example of a linear equation in slope intercept form? Explain

Mr. Gomez

Algebra

8th Grade

What do we need to write a linear equation?

Explain the steps to write a liner equation from a table?

Explain the steps to write a linear equation from a table?

Explain the steps to write a linear equation given two points?

Explain the steps to write a linear equation from a word problem?

Write linear equations given the following:

12. 13.

Mr. Gomez

Algebra

8th Grade

14. 15.

16. Cristian wants to buy the new hello kitty game. He has already saved $12 for shoveling snow from Mr. Gomez’s driveway. His parents give him $3 a week for choirs. Write a linear equation that represents the situation.

17. Alex does not want to spend all of her savings during the summer. She has $250 in her bank account. Each week she decides to only take $20 dollars for expenses. Write a linear equation that represents the situation.

Interpret linear relationships in contexto Recognize when lines are parallel based on their equation.

Explain how we prove that two lines are parallel.

Mr. Gomez

Algebra

8th Grade

18. 19.

Given two equations compare the rate of change and the initial value

Explain what happens when the rate of change gets bigger as a whole number and when the rate of changes gets smaller as a fraction. Explain what happens when the y-intercept increases or decreases?

20.

Mr. Gomez

Algebra

8th Grade

Unit 2 Equations:

Solve multi steps equations with variables on one side and variables on both sides. o Solve one step equations using inverse operationso Solve two step equations using inverse operations.o Solve multi step equations using inverse operations.o Include fractional coefficients to solve multi step equations.

What are the steps we take to solve an equation? Explain. Be specific.

Mr. Gomez

Algebra

8th Grade

21. 22. 3(f – 2) = 21

23. 24.

25. 26.

Represent word problems with single variable equations. o Write single variable equations from a word problem (linear equations).o Solve consecutive number problems.

Write down all the key words that mean an arithmetic operation:

27. Frank wants to leave his dog at a kennel called kibbles and bits they charge $12 a day plus an initial

Mr. Gomez

Algebra

8th Grade

registration fee of $ 36. How many days did Frank’s dog stayed at the kennel if he paid Kibbles and bits $72?

28. Bill wants to make some extra money giving romantic bike rides to tourist in central park. He rents a taxi bike for $200. He charges He earns $15. How many romantic bike rides did Bill give if he made a profit of $340?

29. Brad has twice times as many valentines’ cards as Juan. Brad also has 18 more Valentines’ cards than Juan. How many Valentines cards do they each have?

30. The sum of three consecutive odd numbers is equal to 27. Find the numbers.

31. The sum of two consecutive even numbers is equal to 31. Find the larger number.

Mr. Gomez

Algebra

8th Grade

32. Casey has 8 more than 3 times the number of incidents reports that Fred has. Bob has 2 more than twice the number of incidents reports that Fred has. All together they have 46. How many does each person have?

Use the order of operations to evaluate expressions. o Evaluate expressions using the order of operations. Specifically dealing with

absolute value and square roots.

Explain why it’s important to use the order of operation

Write down the rules for order of operations.

Evaluate the following expressions.

Mr. Gomez

Algebra

8th Grade

33. (8 × 3 − 8) + 42 – 5= 34. (82 − 4) + (42 ÷ 1) × 1=

35. (72 + 32) − (7 − 2) – 2= 36.

37. 38.

39. 40.

Unit 3 Inequalities:

Solve multi steps inequalities and graph the solution on a number line. o Solve inequalities using addition, subtraction, multiplication and division.o Change inequalities when you multiply or divide by a negative number. o Solve multi-step inequalities and graph the solution on a number lineo Represent verbal sentences as an inequality and solve.

List the similarities and differences when solving an equation and inequality.

Mr. Gomez

Algebra

8th Grade

Solve the following inequalities and graph your solution set on a number line.

41. k + 2 > 5 42.

43. 3w – 3 >8w+ 17 44. 2 – 3h < 10

Solve compound inequalities and demonstrate solution on a number line. o Write and graph compound inequalities with the compound word connector “or”

or “and”. o Solve and graph compound inequalities with the compound word connector “or”

or “and”.

Write examples of compound inequalities with the compound word connector “or” and “and”.

What does it mean to graph two inequalities with the compound word connector “or”?

What does it mean to graph two inequalities with the compound word connector “and”?

Mr. Gomez

Algebra

8th Grade

Graph the following compound inequalities and graph your solution set.45. 2 d –4 46. g < -3 or g 0

47. -j + 2 > 9 or -3j -3 9 48. -1 < a – 2 7

Represent word problem in a linear inequality. o Represent word problem in a linear inequality. o Solve linear inequality word problem.

Mr. Gomez

Algebra

8th Grade

Use the table to translate the following word problems into algebraic inequalities.

Symbol What it means

Similar words that mean the same.

< Is less than Fewer than > Is greater

than More than

Is less than or equal to

At most, no more than

Is greater than or equal to

At least, no less than

Answer the following word problems.49. A person’s weekly income was at least $600 but no greater than $1000.

50. The temperature inside a room is uncomfortable if the temperature is lower than 50 degrees or higher than 70 degrees.