## Chapter 3 HW Assignments

### 3.1.5 HW 9/17/18

Homework:

3-46. Create an x → y table using at least eight points from the graph below. Write the rule for the pattern in the table.

 x y

3-47. For each rule below, make a table of x- and y-values.  Then graph and connect the points from your table on graph paper using an appropriate scale. Label each graph with its equation.

1. y = −2x + 7

1. y = 11x

### 3.1.1 HW 9/7/18

Homework:

3-5

At the fair, Kate found a strange machine with a sign on it labeled, “Enter a number.”  When she pushed the number 15, the machine displayed 9. When she entered 23, the machine displayed 17.  Perplexed, she tried 100, and the machine displayed 94.

1. What is the machine doing?

2. What would the machine display if she entered 77?

## Chapter 2 Assessment

### Due: 9/14

1. Maddie noticed a pattern: she needs 24 pages of loose-leaf paper to take notes for 6 days of her biology class. Fill in the table to show how many pages she will need for three days of biology? For 15 days of biology? How many days of notes can she take if she has 156 pages of paper? Explain how you reasoned these out on your answer sheet. Use academic language.

1. Write an algebraic expression (on your answer sheet) representing the collection of algebra tiles shown below.

1. Simplify the expression comparison mats shown below to determine which is greater. Write which is greater on your answer sheet.

1. Examine the tile pattern and answer the questions below.

Part A:

Draw Figure 6 at right.

Part B: How many squares are in the 10th figure? Explain how you know on your answer sheet..

1. Evaluate the expression below as x=4 and y=1 .

3x+7y-(x-2y)+xy

 Show work here

Part A: What is the perimeter as an expression of the shape at right? Write the perimeter on your answer sheet.

Part B: If x=4, what is the perimeter of the shape above?

 Show work here:

1. Use the equation mat below to write and solve an equation for x.

 Show work here:
1. Which equation is equivalent to

-5(4x + 2 + 3x) = 6?

1. -45x = 6

2. -35x = -20

3. -35x = 16

4. -17x = 4

1. What value of coefficient b makes the equation true for any real number x?

-3(2x - 3)  = bx + 9

1. -6

2. -1

3. -21

4. 7

1. Which equation is equivalent to

6(y - 6) - (y + 2) = 26?

1. 5y - 4 = 26

2. 5y - 34 = 26

3. 5y - 38 = 26

4. 5y + 3 = 26

1. Select the equation that has no solution.

1. 3(2x + 7) = 6(x + 4) - 3

2. 3(6x - 5) = 3(6x - 5) + x

3. 8(x - 3) + 14 = 2(4x + 5)

4. 13x - 7 = 12(x - 1) + x + 5

1. Select all equations that have infinitely many solutions.

1. 14x + 6 = 2(5x + 3)

2. 3(x - 5) + 6 = x - (9 - 2x)

3. 2 + 5x - 9 = 3x + 2(x - 7)

4. 3(4x - 6) + 2= -4(4 - 3x)

## Chapter 2 HW Assignments

### 2.1.3 HW 8/21/18

2-29.  Simplify the following expressions by combining like terms. Using or drawing sketches of algebra tiles may be helpful.

1. 2x + 3x + 3 + 4x2 + 10 + x

1. 4x + 4y2 + y2 + 9 + 10 + x + 3x

1. 2x2 + 30 + 3x2 + 4x2 + 14 + x

1. 20 + 5xy + 4y2 + 10 + y2 + xy

2-30. Find a simplified algebraic expression for each Expression Mat below.

1.

### 2.1.4 HW 8/22/18

Homework:

2-41. Can zero be represented by any number of tiles?  Using only the unit tiles (in other words, only the 1 and –1 tiles), determine whether you can represent zero on an Expression Mat with the number of tiles below.  If you can, draw an Expression Mat demonstrating that it is possible.  If it is not possible, explain why not.

1. 2 tiles

1. 6 tiles

1. 3 tiles

### 2.1.5 HW 8/24/18

Homework:

2-51. Simplify the following expressions by combining like terms, if possible.

1. x + x − 3 + 4x2 + 2x – x

1. 8x2 + 3x − 13x2 + 10x2 − 25x – x

1. 4x + 3y

1. 20 + 3xy − 3 + 4y2 + 10 − 2y2

2-52. When writing an expression for part (a) of problem 2-42, Ricardo wrote 2x – 3 – (x + 1), while Francine wrote –3 + 2x – (x + 1).  Francine states that their expressions are equivalent.  Is Francine’s conclusion true or false?  Use algebraic properties to justify your conclusion.

### 2.1.6 HW 8/27/18

Homework:

Lydia compared Mat A and Mat B and decided that Mat A is greater. Lydia lost her work and cannot turn this in without showing work. Off to the right, show the work for Lydia. Is she correct in saying that Mat A is greater? Why or not?

### 2.1.7 HW 8/28/18

Homework:

2-67. Sylvia simplified the expressions on the expression comparison mat shown at right. Some of her work is shown. Are all of her moves “legal”?  Explain.

2-69. Examine the tile pattern at right.

1. On graph paper, draw Figures 4 and 5.

2. What would Figure 10 look like?  How many tiles would it have?

3. Cami has a different tile pattern.  She decided to represent the number of tiles of her pattern in a table, as shown below.  Can you use the table to predict how many tiles would be in Figure 5 of her tile pattern?  How many tiles would Figure 8 have?  Explain how you know.

2-70. Examine the shape made with algebra tiles at right

1. Write an expression that represents the perimeter of the shape. Then evaluate your expression for x = 6 and y = 10 units.

### 2.1.8 HW 8/29/18

Homework

2-76. Translate the Equation Mat at right into an equation.  Remember that the double line represents “equals.”

2-78. Simplify each expression below as much as possible.

1. 3y − y + 5x + 3 − 7x

1. −1 − (−5x) − 2x + 2x2 + 7

1. 6x + 2 − 1 − 4x − 3 − 2x + 2

### 2.1.9 HW 8/30/18

Homework:

2-89. This problem is a checkpoint for evaluating expressions and using the Order of Operations.  It will be referred to as Checkpoint 2.

Evaluate each expression if x = −2, y = −3, and z = 5.