2010 assessment review_homework_1-4-done

Assessment Review Homework Homework #1 Homework #2 Homework #3 Homework #4 Homework #5

Assessment Review HW #1 What equation represents the relationship between x and y ? A) y = 2x B) y = 4x C) y = x + 6 D) y = 2x + 2 Check each equation with two points: (2,8) y = x + 6 8 = 2 + 6 8 = 8 YES (x , y) (6,12) y = x + 6 12 = 6 + 6 12 = 12 YES (x , y) 2 2 y = m x + b y = 1 x + ?

2) Complete the function table below with the missing values for y. Based on the function table, write a function rule that shows the relationship between x and y. Answer ___________ y = m x + b 19 23 4 1 y = 4 x + ? 0 b y = 4 x + -1 y = 4 x + -1 -1 Bring x back to 0 .

3) The table below shows a relationship between x and y. Which equation shows the relationship between x and y ? A) y = 3x B) x = 3y C) y = x + 4 D) x = y + 4 y = m x + b 3 y = 1 x + ? 3 b y = 1 x + 4 3 -1 1 1 5 1 4 0 Bring x back to 0 .

4) Plot the ordered pairs from the table onto the graph paper below. Then draw a line segment connecting the points. Line Segment: No Arrows Need to Label Graph Pool Being Filled 160 180 Time (min) Water (gal) 180 160 140 120 100 80 60 40 20 0 0 1 2 3 4 5 6 7 8

5) Graph the line with equation y = 2x – 3. a) Slope: m = 2 b) y-intercept: b = -3

6) Given the linear equation, y = -2x + 3, identify the slope and y-intercept. m = ________ b = ________ Coordinates of y-intercept: _______ What does the slope tell you? _____________________________ What does the y-intercept tell you? Down 2 to the Right 1 -2 3 (0,3) Point where line crosses y-axis

A) 2 - 6 h B) 2h - 6 C) 6 - 2h D) 6h - 2 7) This month, Drew worked six hours less than twice the number of hours, h , he worked last month. What expression represents the number of hours Drew worked this month? 6 - 2h LESS THAN  REVERSE ORDER 6 - 2h

8) Luisa works in her grandfather’s jewelry shop. She deposits her earnings in a savings account. Her savings account balances for five of the last six weeks are shown in the function table below. Part A: According to the data in the function table, write a function rule that shows how much money Luisa saves each week. Rule ______________ y = m x + b y = 110 x + ? y = 110 x + 400 b = 110 w + 400 110 1 b x y Don’t forget to change equation using b and w !!! 0 400 Week (w) Savings Balance (b) 1 $510 2 $620 3 $730 4 $840 5 ? 6 $1,060

8) Part B Based on the table, how much money is in Luisa’s savings account in week 5? Show Work Answer $__________ 950 b = 110 w + 400 Plug in w =5 b = 110(5) + 400 b = 550 + 400 b = 950 950 Week (w) Savings Balance (b) 1 $510 2 $620 3 $730 4 $840 5 ? 6 $1,060 840 +110 950

9) Find the greatest common factor (GCF) of 12x and (4x 2 + 8x). GCF: 4: 1, 4 12: 1, 2, 3, 4, 6, 12 8: 1,2,4,8 GCF: x: x x 2 : x x x: x GCF: 4x

10) Steve drew figure ABCD. He plans to create figure A'B'C'D' by reflecting it over the x-axis. Label the new figure A'B'C'D‘. What are the coordinates of A’? ________ D’ A’ B’ C’ (-9,-7)

A dd M ultiply Multiply to +8 (1)(8) (2)(4) (-1)(-8) (-2)(-4) 11) Factor into two binomials Step #1 Step #2 Step #3 (x +4 )(x +2 ) or (x +2 )(x +4 ) Which pair adds up to +6?

12) In the diagram below, line f and line h are parallel, and line n is a transversal. a) Name two angles that are vertical angles. b) Name two angles that are corresponding angles. c) Name two angles that are alternate interior angles.  5 and  8  6 and  7  2 and  6  4 and  8  4 and  5  3 and  6

13) Graph a line with the given values. x -4 -2 0 4 y 0 1 2 4

Assessment Review Homework #2

1) Which figure below shows a reflection? Rotation Translation Translation Reflection

2) Gary drew a triangle on the coordinate grid shown below. If Gary reflects the triangle in the y-axis, what will be the new coordinates of the vertices of the triangle? Which figure below shows a reflection? A) (-1, -1), (4, -3), (-5, 1) B) (-1, -1), (-4, -3), (-5, -1) C) (-1, 1), (-4, 3), (5, -1) D) (1, 1), (4, 3), (5, 1)

3) Triangle ABC and triangle A’ B’C’ are plotted on the coordinate plane below. What is the name of the transformation applied to triangle ABC that resulted in triangle A’B’C’?  A’B’C is a reflection over the y-axis.

4) Which property does the equation below demonstrate? 7(x - 4) = 7x - 28 A) Associative B) Commutative C) Distributive D) Identity 7(x) 7(-4) +

5) Ana drew two figures on the coordinate grid shown below. Which transformation did Ana apply to Figure A to get Figure B ? 6 5 4 3 2 1 This is a SLIDE!!! A) Rotated by 90 o Dilated by 6 Reflected in the y-axis D) Translated 6 units to the left

A) 4k + 5 B) 5k - 4 C) 5k + 4 D) 5k(k + 4) 6) Cindy has four more than five times as many cousins as Kathy, k. Which expression represents how many cousins Cindy has compared with Kathy? 4 + 5x 4 + 5k or 5k + 4

7) Which verbal expression is the same as A) two more than half of six B) six more than half of a number C) the sum of a number and two plus six D) six more than the product of a number and two 2 +1/2(6) 6 + 1/2n n + 2 + 6 6 + 2n

8) Melissa drew the shape on the grid shown below. Draw the reflection of this shape in the x-axis. Label the coordinates of each point on the new figure. Explain how you determined the reflection of the shape. (4,-2) (6,-6) (4,-8) (2,-6) I counted how many boxes each point was away from the x-axis. I then counted that many boxes on the other side of the x-axis. I plotted the new point. OR I kept the same x-coordinate and negated the y-coordinate for each point. 2 boxes to x-axis 2 boxes away from x-axis 6 boxes to x-axis 6 boxes away from x-axis

9) A translation has the rule (x- 2, y+1). If the point R at ( 7 , -4 ) is put through the translation, what are the coordinates of its image location at R’? (x – 2, y + 1) R’( 7 – 2 , -4 + 1) R’( 5 , -3

10) Shawn drew figure ABCD. He plans to create figure A'B'C'D' by translating figure ABCD 6 units down and 4 units to the right. On the coordinate plane below, draw and label Shawn's figure A'B'C'D'. (MARCH 2009) D’ A’ B’ C’ Next Shawn plans to create a figure A”B”C”D” by translating figure A’B’C’D’ 2 units up and 8 units to the right. What will be the coordinates of point A’’? A’’(3,3) A’’(3,3)

11) Simplify. (3x 2 y 3 )(-4xy -4 ) (3)(-4)= -12 x 2  x= x 3 y 3  y -4 =y -1 -12x 3 y -1 Explain using the laws of exponents how you arrived at your answer. I multiplied 3 & -4 and got -12. I multiplied powers by keeping base and adding the exponents.

A dd M ultiply Multiply to -12 (1)(-12) (2)(-6) (3)(-4) (-1)(12) (-2)(6) (-3)(4) 12) Factor into two binomials Step #1 Step #2 Step #3 (x +3 )(x -4 ) or (x -4 )(x +3 ) Which pair adds up to -1?

13) Find the product of the two binomials (x – 6) and (3x + 7) 3x 2 -18x +7x - 42 3x x +7 -6 3x 2 3x 2 - 11x - 42 +7x -18x -42 Multiply (x - 6)(3x + 7)

A) 2 + d – 3 B) 3 + d – 2 C) 2d – 3 D) 3 – 2d 14) Janine’s dog weighs three pounds less than twice the weight of Wanda’s dog, d. Which expression represents the weight of Janine’s dog? 3 - 2d LESS THAN  REVERSE ORDER 3 - 2d

15) Erika is assigned to graph the line of the equation y = 2x+1. Use Erika’s equation to complete the table below for the given values of x. Using the information from the table, graph the line of the equation y =2x+1 on the coordinate plane below. Be sure to plot all points from the table and draw a line connecting the points. y=2x+1 x y -2 -3 -1 -1 0 1 2 5 4 9

What is the product of (2a 2 b 3 c 6 ) and (4ab 4 c 2 )? (2a 2 b 3 c 6 ) (4ab 4 c 2 ) MULTIPLY 2∙4 ∙a 2 ∙a∙ b 3 ∙b 4 ∙c 6 ∙c 2 8 a 3 b 7 c 8 MULTIPLY Powers  Multiply Coefficients. Keep Base & Add Exponents “ I multiplied 2(4) to get 8. I multiplied powers by keeping the base and added the exponents.”

2) What is the quotient of ? 3x 2 y 2 z 2 3x 2 y 4 z 5 12x 2 y 2 z 2 12x 2 y 4 z 5 DIVIDE Dividing Powers  Divide Coefficients. Keep Base & Subtract Exponents “ I divided 18 by 6 to get 3. I divided powers with same base by keeping the base and subtracted the exponents.”

3) Solve for x in the equation below. 2(x + 6) = 8x - 42 Show your work. Answer __________ USE CALCULATOR!! 6 6 x = 9 2x +12 = 8x - 42 2(x + 6) = 8x - 42 +12 = 6x - 42 54 = 6x Multiply Cancel 2x x = 9 -2x -2x +42 +42 Cancel -42 x + 6 2 2x +12 Distribute

4) Simplify the expression below. DIVIDE Dividing Powers  Keep Base & Subtract Exponents “ I divided 36 by 12 to get 3. I divided powers with same base by keeping the base and subtract the exponents.” 24x 4 y 3 3x 4 y C) D)

5) Multiply the two binomials below. (2x – 3)(2x + 3) A) 4x 2 +9 B) 4x 2 – 9 C) 4x 2 – 6x – 9 D) 4x 2 –12x + 9 4x 2 + 6x -6x -9 2x 2x +3 -3 4x 2 4x 2 - 9 +6x -6x -9 Multiply

6) What is the product of the expression below? (3x – 7)(3x + 2) A) 9x 2 -15x -14 B) 9x 2 +15x+14 C) 9x 2 -15x +14 D) 9x 2 +15x -14 9x 2 -21x+ 6x -14 3x 3x +2 -7 9x 2 9x 2 - 15x-14 +6x -21x -14 Multiply

Always smallest exponent GCF: 6 (Biggest) Second: List factors of x 3 and x 4 x 3 : x x x x 4 : x x x x GCF: 6x 3 7) What is the greatest common factor of 18x 3 and 24x 4 ? GCF: x 3 First: List factors of 18 and 24 18: 1, 2, 3, 6, 9, 18 24: 1, 2, 3, 4, 6, 8,12, 24

A dd M ultiply Multiply to -18 (1)(-18) (2)(-9) (3)(-6) (-1)(18) (-2)(9) (-3)(6) 8) Factor x 2 + 3x – 18 into two binomials. A) (x + 9)(x - 2) B) (x – 9)(x + 2) C) (x + 6)(x – 3) D) (x – 6)(x + 3) (x -3)(x+6) or (x +6)(x- 3) Step #1 Step #2 Step #3 Which pair adds up to 3?

9) Simplify the expression below. 2 -3 A) -6 B) 1/6 C) 1/8 D) -8 Flip Base & Make Exponent POSITIVE NEGATIVE Exponents

10) Katie converts the outside temperature from degrees Fahrenheit, F, to degrees Celsius, C. She uses the formula below to convert the temperature. If the outside temperature is 50 degrees Fahrenheit, what is the outside temperature in degrees Celsius? A) 2 B) 5 C) 9 D) 10 Plug F = 50

11) Factor the expression below using the greatest common factor (GCF). 18n 6 – 12n 4 + 6n A) 6n(3n 5 -2n 3 + 1) B) 6n(3n 5 -2n 3 + n) C) 6n(12n 6 -6n 3 + 1) D) 6n(12n 6 -6n 3 + n) GCF: 18:1, 2, 3, 6, 9, 18 12: 1, 2, 3, 4 ,6, 12 6: 1, 2, 2, 3, 6 GCF: n 6 : n ,n , n , n ,n ,n n 4 : n ,n ,n ,n n: n You can check by multplying answer out GCF: 6n 3n( ? ) =18n 6 -12n 4 +3n

12) Simplify the expression 3a 2 + 5a-11 – 11a 2 + 2a – 12 +1 -8 a 2 +3 a Rewrite without Parenthesis + - – 3a 2 +5a - 11 - 11a 2 -2a +12 3a 2 - 11a 2 +5a -2a - 11 +12

13) Solve, graph, and check -8x – 8 < -3x + 12 Variables on Different Sides Cancel Smaller +3x +3x -5x - 8 < 12 +8 +8 -5x < 20 -5 -5 x > 4 Check -8x – 8 < -3x + 12 -8 (5) – 8 < -3 (5) + 12 – 48 < -3  Divide by Negative Flip Inequality Directio 4 5 6

14) Complete the table of values given the line below. (-2,-1) -1 0 2 (0,0) (2,1) (6,3) 6 4 (8,4) x y -2 0 1 3 8

15) In the diagram below, line f and line h are parallel, and line n is a transversal. a) Name two angles that are vertical angles. b) Name two angles that are corresponding angles. c) Name two angles that are alternate interior angles.  5 and  8  6 and  7  2 and  6  4 and  8  4 and  5  3 and  6

1) What is 18a 11 b 7 divided by 3a 3 b? Dividing Powers  Keep Base & Subtract Exponents “ I divided 18 by 3 to get 6. When dividing powers with same base you keep the base and subtract the exponents.”

2) Simplify the expression below. 4x 2 y 2 4xy 2 E) Dividing Powers  Keep Base & Subtract Exponents “ I divided 12 by 3 to get 4. When dividing powers with same base you keep the base and subtract the exponents.”

3) Which expression is equivalent (14a - 4a) + (5a -3a)? Combine Like Terms 10a + 2a (14a- 4a) + (5a – 3a) 12a

4) Simplify the expression 3x 2 +4x - 3 + -2x + 1 -2 3 x 2 +2 x Rewrite without Parenthesis 3x 2 4x -2x -3 +1 Need to show how signs change!

5) Simplify the expression. (x 3 y 2 )(xy 4 ) x 4 y 6 MULTIPLY Powers  Keep Base & Add Exponents

6) Simplify the expression. 5 7 5 2 5 9 MULTIPLY Powers  Keep Base & Add Exponents

7) Simplify the expression. Dividing Powers  Divide Coefficients. Keep Base & Subtract Exponents “ I divided 3 by 6 to get ½ . When dividing powers with same base you keep the base and subtract the exponents.”

8) Simplify the expression below . A) 9a 2 b B) 9a 4 b 2 C) 18a 2 b D) 18a 4 b 2 Combine Like Terms 3a 2 b + 6a 2 b 9a 2 b

9) Simplify the expression 3a 2 + a – 7 + 9a 2 + 3a – 4 -3 -6 a 2 - 2 a Rewrite without Parenthesis + – – 3a 2 +a – 7 - 9a 2 -3a +4 3a 2 -9a 2 +a -3a - 7 +4

A dd M ultiply Multiply to -12 (1)(-12) (2)(-6) (3)(-4) (-1)(12) (-2)(6) (-3)(4) 10) Factor x 2 + 4x – 12 into two binomials. A) (x + 4)(x - 3) B) (x – 3)(x + 3) C) (x + 6)(x – 2) D) (x – 6)(x + 2) Step #1 Step #2 Step #3 (x )(x ) or (x +6)(x- 2) -2 + 6 Which pair adds up to 4 ?

11) On the coordinate plane below, draw the image of polygon ABCDE translated 8 units to the right and 4 units up. Label the image A'B'C'D'E'. (MARCH 2008) SLIDE!!! A’ B’ E’ D’ C’

12) Write an equation that represents the table below. Answer ___________ y = m x + b +3 +2 x y -2 -5 0 -2 2 1 4 4 Wh y is “ y ” on top?

13) Using the slope formula, , find slope of the line given two points A(3,4) and B(-3,-2). Show Work Slope: ____ Describe the slope: 1 Up 1 to the right 1 Wh y is “ y ” on top?

14) Given the linear equation, y + 2x = 7, identify the slope and y-intercept. m = ________ b = ________ Coordinates of y-intercept: _______ What does the slope tell you? _____________________________ What does the y-intercept tell you? Down 2 to the Right 1 -2 7 (0,7) Point where line crosses y-axis -2x -2x y = -2x + 7

2010 assessment review_homework_1-4-done

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