Name: ________________________________ 

Unit 2: CC3 Chapters 3 & 4 Academy Home Practice Problems 

 

LESSON  PRACTICE PROBLEMS CC3 3.2.1 75(b&d), 77(a&c)

CC3 3.2.2 87(a&c)

CC3 3.2.3 96, 98

CC3 3.2.4 105

CC3 3.2.5 113

CC3 4.1.2 17

CC3 4.1.3 25, 28

CC3 4.1.4 38, 41

CC3 4.1.5 44

CC3 4.1.6 59(b&c), 60

CC3 4.1.7 67(a&d), 68(a)

 

Name: ____________________________ Academy Home Practice for the week of October 7th 

DUE: Friday, October 11th  CC3 3.2.1 #75(b&d) For each equation, a possible solution is given. Check to see if the given solution is correct. Show all work.

b. If -2x - 4 = -4x + 3, then does x = 3?

d. If -(x - 1) = 4x - 5 - 3x, then does x = 3?

CC3 3.2.1 #77(a&c) Simplify completely. Show all work. a. 4x + 7 + 3y - (1 + 3y + 2x)

c. (32x - 7y) - (28x - 11y)

CC3 3.2.2 #87(a&c) Simplify each of the following equations and solve for the variable. Show all work and check your solution , if possible. a. 3x - 7 + 9 - 2x = x + 2

c. 2 = x + 6 - 2x

CC3 3.2.3 #96 The length of a rectangle is three centimeters more than twice the width. The perimeter is 78 centimeters. Define a variable and write and solve an equation to find out how long and how wide the rectangle is. CC3 3.2.3 #98 Solve each expression.

CC3 3.2.4 #105 Use your pattern-finding skills to copy and complete the table below.

IN (x) 1 2 3 5 6 8 12 24 x

OUT (y) 24 12 6 4.8 4 2

a. Explain the pattern you found in your table. How are x and y related?

b. Write the rule you described in part (a) with algebraic symbols.

c. Use the points in your table to graph this rule on graph paper. (**Graph on attached paper) Describe the resulting shape.

CC3 3.2.5 #113 Solve each equation. Check your solution. Show all work.

a. 3(5x + 2) = 8x + 20

b. -2(x - 3) + 4x = -(-x + 1)

c. 4(2x - 3) = -2(3x - 8)

Name: ____________________________ Academy Home Practice for the week of October 14th 

DUE: Friday, October 18th  

CC3 4.1.2 #17 Simplify each of the following equations and SOLVE for x. SHOW ALL WORK and CHECK YOUR SOLUTION.

a. 7 - 3x = -x + 1 b. -2 + 3x = -(x+6) CC3 4.1.3 #25 Two of the connections in your Representations of Patterns Web are pattern → table and pattern → rule. Practice these connections as you answer the questions below.

a. On graph paper, draw Figure 0 and Figure 4 for the pattern at right.

b. Represent the number of tiles in each figure with a table.

c. Represent the number of tiles in each figure with an algebraic rule.

CC3 4.1.3 #28 Another one of the connections in your Representations of Patterns Web is graph → table. In Chapters 1 through 3, you developed tools to find a table from a graph. Consider this connection as you complete the table below. The table is based on the graph at right.

CC3 4.1.4 #38 Look at the graph at right.

a. What statements can you make about the tile pattern the graph represents?

b. How many tiles are in Figure 0? Figure 1?

c. What is the pattern of growth?

d. What is the rule for the pattern?

CC3 4.1.4 #41 Use your pattern skills to complete the table below and answer the questions that follow.

a. Explain in words what is done to the input value, x, to produce the output value, y.

b. Explain the process you used to find the missing input values.

CC3 4.1.5 #44 a. Complete a table for the rule y = 3x − 2.

b. Draw a complete graph for this rule.

b. Is (−50,−152) a point on the graph? EXPLAIN how you know

Name: ____________________________

Academy Home Practice for the week of October 21st DUE: Thursday, 23th -- You MUST SHOW ALL WORK. 

CC3 4.1.6 #59 (b&c) Use what you know about m and b to graph each rule below without making a table. Draw a growth triangle for each line. (Label each line and make sure you plot 4 or more points for each rule.) b. y = -2x + 5 c. y = 3x CC3 4.1.6 #60 Examine the graph at right, which displays three tile patterns.

a. What do you know about Figure 0 for each of the three patterns?

b. Which pattern changes most quickly? How quickly does it change? Show how you know.

c. Which figure number has the same number of tiles in patterns B and C? Explain how you know.

d. Write a rule for pattern B.

CC3 4.1.7 #67(a&d) Use what you know about m and b to graph each rule below without making a table. Draw a growth triangle for each line and label the x and y-intercepts. (Label each line and make sure you plot 4 or more points for each rule.) a. y = 3 - 2x d. y = -½x + 3 CC3 4.1.7 #68(a) On your paper, copy and complete the x → y table below. Using what you know about m and b, write an equation that represents the data in the table.

x y

0 5

1 7

2 9

3 11

4 13

30

200

505

x

● CLOSURE PROBLEMS are due on TUESDAY, October 29th.   

○ The closure problems must be completed on a SEPARATE SHEET OF PAPER 

○ You must SHOW ALL OF YOUR WORK, and  

○ you must CORRECT your ANSWERS and FIX ANY ERRORS. 

 

■ Chapter 3 

● #’s 118, 119, 122, 124, 125 

 

■ Chapter 4 

● #’s 72, 73, 74, 75, 77, 78 and 79 

 

 

 

 

 

 

 

 

 

 

 

● CLOSURE PROBLEMS are due on TUESDAY, October 29th.   

○ The closure problems must be completed on a SEPARATE SHEET OF PAPER 

○ You must SHOW ALL OF YOUR WORK, and  

○ you must CORRECT your ANSWERS and FIX ANY ERRORS. 

 

■ Chapter 3 

● #’s 118, 119, 122, 124, 125 

 

■ Chapter 4 

● #’s 72, 73, 74, 75, 77, 78 and 79