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exponents, system of equations, scientific notation, estimating square roots, pythagorean theorem
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Monday April 4th Quarterly Assessment will be on April 6th and 7th
Name- ____________________________ Quarter 3 Review Warm-Up #1 DIrections: Show your work on each question. These are a review from this quarter and these questions will be similar to the Q.A. The area and one side length is given for the rectangle below. Write the correct side length to the missing side of the rectangle. What are the coordinates (x,y) of the solution to the system of equations? Show your work and write your answer here. (___,___) y= 2x +3 y= 4x -1 Simplify the following: 39_ 37 = 1 = 33 3-7 x 35 = units Area = x12 sq. units X7 units
Standard Deviants Teaching Systems:(6:23) Systems of Equations
Red means… we will do it together! Green means… GO, try it on your own!
1x1x1 = 1 2x2x2 = 8 3x3x3 = 27 4x4x4 = 64 5x5x5 = 125 6x6x6 = 216 Cubing a number means multiplying it by itself three times. Since 6x6x6 = 216, each side has a length of 6 units. Therefore, each side is a square, so one side is 6x6 or 26 square inches.
Cubing a number means multiplying it by itself three times. Since 4x4x4 = 64, each side has a length of 4 inches. 1x1x1 = 1 2x2x2 = 8 3x3x3 = 27 4x4x4 = 64 5x5x5 = 125 6x6x6 = 216
Square root √225 x x x = 225 x = 15
What is the unknown side length of the rectangle? A = x9 x3 x6
What is the unknown side length of the rectangle? A = x13 x8
What is the unknown side length of the rectangle? A = x13 x8 A=l w x13 = x8 x x5 final answer 5
Consider the following system of two equations. y = 3 + 4x y = -x - 2 What are the coordinates (x,y) of the solution of equations?
Consider the following system of two equations. y = 3 + 4x y = -x - 2 What are the coordinates (x,y) of the solution? 3 + 4x = -x - 2 +x +x 3 + 5x = - 2 -3 -3 5x = -5 5 5 x = -1 y = 3 + 4x = 3 + 4(-1) = 3 + -4 = -1 The solution is (-1, -1)
Consider the following system of two equations. y = 2x + 33 y = 9x - 2 What are the coordinates (x,y) of the solution of equations?
Consider the following system of two equations. y = 2x + 33 y = 9x - 2 What are the coordinates (x,y) of the solution of equations? 2x + 33 = 9x -2 -2x -2x 33 = 7x -2 +2 +2 35 = 7x 7 7 x = 5 y = 2x + 33 y = 2(5) +33 y = 10 +33 y = 43 Final answer: (5,43)
Mrs. Owens and Mrs. White selling candy for the math club. Students can either buy M&M’s and Jolly ranchers. Mrs.Owens sold 20 bags of M&M’s and 80 bags Jolly Ranchers for a total $400. Mrs. White sold 1 bags of M&M’s and 1 bags Jolly Ranchers of a total $11. The system of equations shown can be used to represent the situation. 20m + 80j = 400 m + j = 11 Solve the system of equations. What does the solution represent in this context?
Mrs. Owens and Mrs. White selling candy for the math club. Students can either buy M&M’s and Jolly ranchers. Mrs.Owens sold 20 bags of M&M’s and 80 bags Jolly Ranchers for a total $400. Mrs. White sold 1 bags of M&M’s and 1 bags Jolly Ranchers of a total $11. The system of equations shown can be used to represent the situation. 20m + 80j = 400 m + j = 11 20m + 80j = 400 m + j = 11 20m + 80j = 400 20m + 80j = 400 -20(m + j = 11) -20m -20j = -220 40 j = 180 J = 3 m + j = 11 3 bags of Jolly Ranchers and 8 m + 3 = 11 bags of m&m’s m = 8
A paper company needs to ship paper in both large and small boxes. Small boxes, when full, weighs 35 pounds. Each full large box weighs 65 pounds. A total of 22 boxes of paper were shipped weighing 1040 pounds all together. Determine how many of each size box were shipped. The system of equations shown can be used to represent the situation. 35s + 65L = 1040 s + L = 22 Solve the system of equations. What does the solution represent in this context?
A paper company needs to ship paper in both large and small boxes. Small boxes, when full, weighs 35 pounds. Each full large box weighs 65 pounds. A total of 22 boxes of paper were shipped weighing 1040 pounds all together. Determine how many of each size box were shipped. The system of equations shown can be used to represent the situation. 35s + 65L = 1040 s + L = 22 35s +65l = 1040 35s + 65l = 1040 -35( s +l = 22) -35s -35l = -770 30 l = 270 30 = 30 L = 9 S + l = 22 S + 9 = 22 -9 -9 S = 13 You will ship 9 large boxes of paper an 13 small boxes of paper
5.2 x 10420 = (5.2)(20)= 1.04 104 x 104 is it in Scientic Notation? NO 1.04 x 106 Final answer
5.4 x 10724 = (5.4)(24)= 129.6 129.6 x 107 is it in Scientic Notation? NO 1.296 x 109 Final answer
Match the following numbers with their appropriate place on the number line. √17 √85 √39
Match the following numbers with their appropriate place on the number line. √17 √85 √39 √85 √39 √17
Match the following numbers with their appropriate place on the number line. √17 √3 √66
Match the following numbers with their appropriate place on the number line. √17 √3 √66 √3 √17 √66
6.48 x 105 (2.4 1.8) (104 10-2) 6.48 x 105 (4.3) (102) 6.48 105 (4.3) (102) 6.48 = 1.5 105 = 103 (4.3) (102) Is it in scientific notation? YES 6.48 = 1.5 105 = 103 (4.3) (102) 1.5 x 103 final answer
450000 + 3600 = 453600 4.5 x 105 = 7.2 x 104 0.625 x 101 is it in Scientific Notation? NO 6.25 x 100
Review for Quarter #3 Consider the following system of two equations. 7x +2y = 24 8x + 2y = 30 What are the coordinates (x,y) of the solution of equations?
Review for Quarter #3 Consider the following system of two equations. 7x +2y = 24 8x + 2y = 30 What are the coordinates (x,y) of the solution of equations? ( 6, -9)
Review for Quarter #3 Consider the following system of two equations. -x -7y = 14 -4x - 14y = 28 What are the coordinates (x,y) of the solution of equations?
Review for Quarter #3 Consider the following system of two equations. -x -7y = 14 -4x - 14y = 28 What are the coordinates (x,y) of the solution of equations? (0,-2)
Review for Quarter #3 Which of the following is equivalent to to 25. 5-2 53 * 55 53 512 5-3 * 55 510 B. A. D. C.
Review for Quarter #3 Which of the following is equivalent to to 25. 5-2 53 * 55 53 512 5-3 * 55 510 B. A. D. C.
Review for Quarter #3 A square wall uses 625 square feet of paint. What is the length of each edge of the wall? • 5 feet • 6 feet • 12 feet • 13 feet
Review for Quarter #3 A square wall uses 625 square feet of paint. What is the length of each edge of the wall? • 5 feet • 6 feet • 12 feet • 13 feet