Multistep Equations

Solve for x:

35 = -5 - 2x - 7x

Steps

Write in words the steps you would need to take to solve for the problems below:

#1.  12 = -2x + 6


#2.  x/2 - 1 = 11

Two Step Equations

Solve for the variable:

#1.  -4x + 5 = -15


#2.  x/3 + 6 = 11

Solving Equations

Solve for x:

#1.  2x - 7 = 3

#2.  -3x - 6 = 12

Solve for x:

#1.  2x + 5 = 21


#2.  -3x - 4 = 8

One-Step Equations

Solve for x:

-5x = -10

x/4 = -3

Multiplying and Dividing One-Step Equations

Simplify:

#1.  4x = 20

#2.  -5x = 15

#3.  x/2 = 14

#4.  x/3 = -5

One-Step Equations

Simplify:

#1.  x - (-4) = -8

#2.  x - (+3) = -11

#3.  x - 5 = 9

#4.  x + 8 = -10

#5. x + 7 = 12

One-Step Equations

Solve for the missing letter:

#1.  x - 3 = -4

#2.  -7 + y = 13

#3.  1/2 - a = 3 1/2

#4.  8 + c = -10

Addition and Subtraction

Solve for the variable:

#1.  x + 7 = -13

#2.  -8 + c = 10

#3.  x - 3 = 7

#4.  -4 + x = 14

#5.  x - 5 = -12

Addition and Subtraction Problems

Solve for x:

#1.  x + 7 = -12

#2. x - 9 =  9

#3.  1/2 + x = 3 1/2

#4.  x - 3/4 = -2 3/4

Solving for x

Solve for x:

#1.  x + 5 = -13

#2.  6 + x = 18

#3.  -12 = x + 8

#4.  20 = x + 9

Distributive Property

Simplify:

#1.  -(3x + 2)

#2.  -4(-5x + 6y - 6)

#3. 7(2x + 4y + 8)

Combining Like Terms and Distributive Property

Simplify:

#1.  -3(2x - 4) + 4(3x + 5)

Combining Like Terms and Distributive Property

Simplify:

10(n+ 3n) - 6(n- 2)

4p- 12p - 9p + 3(p + 7)

Distributive Property and Combining Like Terms

Simplify:

-3(x - y) + 7(x + y)

Combining Like Terms

Simplify:

#1.  6x + 9 + 2x

#2.  6t + 4u + t + 9u

#3. 2n + 4w + 5n + w + 9n

Bins

Use the materials in the bin to complete the question below:

1st: Sort the materials in the bin how you would naturally sort them.  

2nd: Write an expression for what's in the bin.

Distributive Property and Combining Like Terms

Simplify:

#1.  -3(x + 2) - 4(-x - 5)

#2.  -2x + 7 - 8y + 3x + 9y - 12

#3.  (-2x + 4) -6

Distributive Property

#1.   -3(x + 2)

#2.  (x - 3) -4

#3.  2(x -4)

#4.  (x + 6) 5

Combining Like Terms and Distributive Property

Simplify the expression:

2(x + 4) + 3(2x - 1)

Like Terms

What are like terms? (you can look this up online)

Evaluating Expressions

What are the steps you need to take in order to evaluate expressions?  (notes)

Expressions

Evaluate the following expression:


4x - y + 2y - x     When x = -8   and y = -5

Evaluating Expressions

Evaluate the following expression:

-4p2 + 5q - 7    

When p = -3 and q = -8

Evaluating Expressions

Evaluate the following expressions and then simplify:

#1.   ab - 7 + a      when a = 10   and    b = -2

#2.   2x + 5y          when x = -3   and    y = -2

Evaluating Expressions

Simplify:

3x + 2 - y      when x = -2  and y = 4


x/y - x + y      when x = 6   and y = 3

Multiplying/Dividing or Evaluating Expressions

Group 1: Paulino, Randy, Geraldine, Deywuin, and Rebecca

#1.  (-8)(5)
#2. (-2)(-3)
#4. (3)(4)
#5. (2)(-4)
#6. (-10) ÷ (2)
#7. (12) ÷ (4)
#8. (-15) ÷ (-5)
#9. (6) ÷ (-2)


Group 2: Jordan, Sierra, and Tatianna

#1. x + 12 - y When x = 10 and y = -2

#2. 3x - 2 + y When x = 2 and y = 1

#3. y - x + 2x When x = 4 and y = -3

Evaluating Expressions

Evaluate the expressions:

#1.   -3x - 5    When x = 10

#2.  2(x + 6) - 3   When x = 4

Expressions

Evaluate the following Expressions:

x + 5     When x = 11

2x + 3    When x = -2

Multiplication or Division

Multiply or Divide the following integers

#1.  (-18) ÷ 9

#2. (-15) ÷ (-3)

#3. 36 ÷ (-6)

#4. 40 ÷ 4

#5. (-10) (-3)

#6. (-2) (5)

#7. (12) (-3)

#8. (11) (4)

Multiplying and Dividing Integers

Multiply or Divide the integers below.

#1.  (-5) (6)

#2. (-1) (-4)

#3. (-7) (3)

#4. (8) (2)

#5. (-24) ÷ 3

#6. (-16) ÷ (-4)

#7. 30 ÷ 6

#8. 10 ÷ (-2)

Adding and Subtracting Integers

Add or Subtract the following pairs of integers:

#1.  (-3) - (-2)

#2. (-4) - (6)

#3.  5 - 7

#4. 7 - (-3)

#5.  8 + 4

#6.  (-5) + (-3)

#7. (-4) + 2

#8.  6 + (-8)

Multiplying Integers

Multiply the following integers:

#1.  (-2) (-3)

#2. (-4) (5)

#3. (6) (2)

#4.  (10) (-6)

Adding and Subtracting Integers

Add or Subtract

#1. (-3) + (-5)

#2. (-7) - (-3)

#3. 10 -11

#4. 9 + 4

#5. (-2) + 5

#6. (-4) - 8

#7. 9 - (-2)

#8.  8 + (-2)

Subtracting Integers

Subtracting Integers

#1. 3 - 7

#2. (-9) - 1

#3. (-8) - (-12)

#4. 6 - (-4)

Subtracting Integers

Subtract the following integers: (use the rules in your notebook)

#1.  (-3) - 4

#2. (-4) - (-9)

#3. 9 - (-2)

#4. 10 - 13

Adding Integers

#1. (-12) + (-13)

#2. (-7) + (2)

#3. 9 + (-5)

#4. 8 + 2

#5. (-18) + (7)

#6. 17 + (-3)

#7/ (-6) + (-3)

Adding Integers

Add the following pairs of integers:

#1.  (-7) + 9

#2.  (-8) + (-5)

#3.  10 + (-15)

#4. 12 + 5

Adding Integers

Complete the following problems:

#1. 4 + (-3) =

#2. (-9) + (-5) =

#3. (-7) + (3) =

#4. 10 + 11 =

Adding and Subtracting Integers

Using your notes from yesterday, complete the following problems WITHOUT A CALCULATOR!

#1.  7 + (-4)

#2. -9 + 5

#3. -2 + (-5)

#4. 9 + 3

#5. 12 - (15)

#6. -9 - (-6)

#7. -13 - (4)

#8.  10 - (-8)

Integer Operations

Complete these WITHOUT USING A CALCULATOR!

#1.  (-3) + (-5)

#2. (-2) + (6)

#3. (6) + (-7)

#4. (9) + (8)

#5. (-2) - (-3)

#6. (-8) - (5)

#7. (9) - (-2)

#8. (4) - (6)

Progress Check #2 Review

For each exponent write your answer in Word, Expanded and Standard Form:

#1.  (-3)3

#2. -(9)5

Simplify using Order of Operations

#3.  (12 ÷ 4 ) 2 + (( 9 + 7 ) x 3 2 )

Order of Operations

Simplify using Order of Operations:

16 +( 8 x (11 - 5 ) 2 ) - 2

Progress Check Reflection

Answer the following questions after you look through your progress check:

#1. What problems did you get wrong that you were for sure you did correctly?

#2. If you did not get a Level 3 (80%) or better on any of the "I Can" statements you will need to do a Progress Check Retake.  What, if any, "I Can" statements will you need to do a retake on?

Order of Operations

Complete the problem following the Order of Operations:

( 3 2 + ( 14 ÷ 7 + 2 2 )) - 4 2

Order of Operations

Follow Order of Operations to simplify the expression:

( 4 2 + ( 16 ÷ 4 + 4 2 )) + 5 2

((14 + 7 ) +( 8 ÷ 2 ) 2 ) + 7 2

Order of Operations with Nested Parentheses

Complete the following problems using Order of Operations:

#1. 12 +(10 x ( 3 + 2 ) 2 )

#2. ((15 + 6 ) - (18 ÷ 3 ) 2 )

Order of Operations with Nested Parentheses

Simplify the following expression using Order of Operations (SHOW ALL YOUR STEPS IN YOUR REPLY!)

5 - (4 + 2)2 - (4 - (8 ÷ 2))6 × 2

Order of Operations

What are the steps to completing a problem using Order of Operations?

Exponent Corrections

View through Jimmy's work for the 3 exponents problems below.

#1. (-5)3

Word Form: Negative five to the third power

Expanded Form: - (5)(5)(5)

Standard Form: 125

#2. 176

Word Form: The opposite of seventeen to the sixth power

Expanded Form: (17)(17)(17)(17)(17)(17)

Standard Form: 24,137,569

#3. -(3)8

Word Form: Negative three to the eighth power

Expanded Form: (-3)(-3)(-3)(-3)(-3)(-3)(-3)

Standard Form: -6,561

Exponents Practice

For each problem write it out in word form, expanded form, and standard form:

#1.  -(9)4

#2. (-7)3

#3. 106

Exponents Review

For the problem below write it out in Words, Expanded Form, and Standard Form.

Exponents

#1. Identify the base and the exponent in the example below:

#2.  What is the answer to the expression above?

Pre-Test

What questions from the test yesterday did you know how to do right away?

Last Year

What were some things your teacher did last year in math that you really enjoyed?

What do you need in order for you to learn math content?