Algebra Midterm Jeopardy

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Presentation transcript:

Algebra Midterm Jeopardy

Algebra Midterm Jeopardy ch2 ch3/7 ch 6 ch 7 ch 8 other 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 Final Jeopardy

Chapter 2 1 point -4(3x – 8) = 2(4x + 12)

Chapter 2 1 point answer  

Chapter 2 2 points Daily Double! Solve for m: 4mn – 6 = 14

Chapter 2 2*2 points answer  

Chapter 2 3 points  

Chapter 2 3 points answer  

Which equation is NOT equivalent to: Chapter 2 4 points Which equation is NOT equivalent to: 3p -2 = 6p + 4? 3p = 6p + 6 -3p – 2 = 4 -6 = 3p 3p = 6

Chapter 2 4 points answer 3p -2 = 6p + 4 -2 = 3p + 4 -6 = 3p -2 = p 3p = 6p + 6 C. -6 = 3p -3p = 6 -2 = p p = -2 -3p – 2 = 4 D. 3p = 6 -3p = 6 p = 2

Chapter 3/7 1 point

-3x + 3 > -9 -3x > -12 x < 4 C Chapter 3/7 1 point answer -3x + 3 > -9 -3x > -12 x < 4 C

Chapter 3/7 2 points  

Chapter 3/7 2 points answer  

Chapter 3/7 3 points

Chapter 3/7 3 points answer  

Chapter 3/7 4 points  

Chapter 3/7 4 points answer  

Chapter 6 1 point Graph:

Chapter 6 1 point answer (out of the symbol – 2 means down 2) (in symbol x – 3 means right 3)

Chapter 6 2 points State the slope and y –intercept of each equation. Would the lines be parallel, perpendicular, or neither? How can you tell?

Chapter 6 2 points answer  

Chapter 6 3 points State the x and y intercepts of the line: 8x = 12y – 16

Chapter 6 3 points answer  

Chapter 6 4 points  

Chapter 6 4 points answer  

4x – 2y = 16 3y = 6x – 24 Chapter 7 1 point How many solutions does the following system of linear equations have? 4x – 2y = 16 3y = 6x – 24

Chapter 7 1 point answer 4x – 2y = 16 3y = 6x - 24 -2y = -4x + 16 y = 2x – 8 y = 2x – 8 The system has infinitely many solutions – the slopes and the y-intercepts are the same, so the lines are coincident (same line!)

Chapter 7 2 points Solve: 24x + 2y = 52 6x – 3y = -36

Chapter 7 2 points answer 24x + 2y = 52 24x + 2y = 52 6x – 3y = -36 *-4 -24x + 12y = 144 14y = 196 y = 14 24x + 2(14) = 52 24x + 28 = 52 24x = 24 x = 1 (1, 14)

Chapter 7 3 points A company sells brass and steel machine parts. One shipment contains 3 brass and 10 steel parts and costs $48. A second shipment contains 7 brass and 4 steel parts and costs $54. Find the cost of each machine part.

Chapter 7 3 points answer 3B + 10T = 48 *2 6B + 20T = 96 7B + 4T = 54 *-5 -35B – 20T = -270 -29B = -174 B = 6 3(6) + 10T = 48 18 + 10T = 48 Brass $6 10T = 30 Steel $3 T = 3

Chapter 7 4 points Compare the solutions of the following 2 systems of equations:

Chapter 7 4 points answer The x and the y values are both the same 10x – 5y = 25 10x – 5y = 25 x – y = 15 *-5 -5x + 5y = -75 -10 – y = 15 5x = -50 -y = 25 x = -10 y = -25 -10x + 5y = -25 -10x + 5y = -25 2x – 2y = 30 *5 10x – 10y = 150 2x – 2(-25) = 30 -5y = 125 2x +50 = 30 y = -25 2x = -20 x = -10 The x and the y values are both the same

Chapter 8 1 point 5x0y-4

Chapter 8 1 point answer  

Chapter 8 2 points (5x5)(3y6)(3x2)

Chapter 8 2 points answer (5x5)(3y6)(3x2) 45x7y6

Chapter 8 3 points (-4xy5z3)2

Chapter 8 3 points answer (-4xy5z3)2 = 16x2y10z6

Chapter 8 4 points  

Chapter 8 4 points answer  

Other 1 point

Other 1 point answer The definition of a function is: each input (x) gives exactly one output (y). This is NOT a function because the input of 75 does not give exactly one output (it gives 12.5 and 13)

Other 2 points State the domain and range of the graph. How would the domain and range change if the graph had arrows on both ends?

Other 2 points answer  

Other 3 points The perimeter of a rectangle is 276 feet. The length of the rectangle is 3 more than twice the width. Find the length and width.

other 3 points answer W = 45 The perimeter is 276 2L + 2W = 276 Length is 3 more than twice width L = 2W + 3 2(2W + 3) + 2W = 276 L = 2(45) + 3 4W + 6 + 2W = 276 L = 93 6W + 6 = 276 6W = 270 W = 45

Other 4 points State the domain and range:

Other 4 points answer Domain: all real numbers Range: y ≤ 3

Final Jeopardy The length of a rectangle is 5 times the width. The perimeter is 54 inches. Find the length and width.

Final Jeopardy answer Length = 22.5 inches width = 4.5 inches 54 = 2(W) + 2(5W) 54 = 12W 4.5 = W L = 4.5(5) = 22.5 Length = 22.5 inches width = 4.5 inches