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Algebra 2

Algebra 2. Warm-Up 3. 1. The Smiths are building a deck of uniform width around their swimming pool, shown below. Which expression shows the total area of the deck, using x for the width of the deck?. (20+x)(25+2x) (2x+20)(2x+25) – (20)(25) (2x+20)(2x+25) – 25x (20)(25)+(2x+20)(2x+25).

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Algebra 2

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  1. Algebra 2 Warm-Up 3

  2. 1. The Smiths are building a deck of uniform width around their swimming pool, shown below. Which expression shows the total area of the deck, using x for the width of the deck? • (20+x)(25+2x) • (2x+20)(2x+25) – (20)(25) • (2x+20)(2x+25) – 25x • (20)(25)+(2x+20)(2x+25) 25 ft 20 ft

  3. 2. QR and QS are tangent to circle P. ∠RPS = 140°, what is the measure of ∠Q? • 40 • 80 • 20 • 50 R Q P S

  4. QR and QS are tangent to circle P. m∠PRS = 15°, find the measure of ∠Q. • 15 • 20 • 30 • 50 R Q P S

  5. 4. AB is a tangent of circle C. Circle C has a radius of 15 and AB = 36. What is the length of BC? • 14 • 15 • 36 • 39 A C B

  6. 5. AB is a tangent of circle C. Circle C has a radius of 15 and AB = 36. What is the distance from B to the edge of the circle? • 14 • 15 • 24 • 39 A C B

  7. 6. What is the equation of a line that is perpendicular to the line graphed below with the same y-intercept? • 2x + y = 3 • x + 2y = -6 • 2x + y = -3 • -x + 2y = -6

  8. A leaded window is made in the shape of an equilateral triangle. The design has a lead strip that runs from the vertex to the midpoint of the opposite side. If each side of this window is 12 inches, what is the length of the lead strip. • A. 6.5 • B. 16.9 • C. 10.4 • D. 8.4 12 x 12

  9. Which equation shows the graph of y = |x|, translated left 3 and up 2? • A. y = |x + 3|+ 2 • B. y = |x – 3 | + 2 • C. y = |x + 2| - 3 • D. y = |x – 2| + 3

  10. 9. Which of the following is the equation for the line that passes through (-4,5) and perpendicular to 2x + 3y = 9? • 3x – 2y = -11 • 3x – 2y = 11 • 2x – 3y = -23 • 2x + 3y = 7

  11. 10. It cost $50 to be a member of the Golf Club, and $2 a game. If you are not a member you can play a game of golf for $10. At how many games is it a better deal to be a member? • 4 • 5 • 6 • 7

  12. 11. A square park has a side length of 20 m. A bicycle path will be made along a diagonal of this park. How long is this bicycle path? • 25.2 m • 28.3 m • 32.4 m • 40 m

  13. A2 warm-up 3 • B, obj 10, 8.14B • A, obj 6, G.5B • C, obj 6, G.5B • D, obj 6, G.5B • C, obj 6, G.5B • C, obj 7, G.7B • C, obj 6, G.5D • A, obj 10, 8.14C • A, obj 3, A.6D • D, obj 4, A.8C • B, obj 6, G.5D

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