Multiply. (2x + 7)(3x β 5) Starter 2 Solve this system of equations by graphing on your calculator. y = -2x + 2 π y= xβ5 π Starter 3 The slope of the line passing through the points (10, y) and (13,18) is 5. What is the value of y? Starter 4 Write an equation of the line passing through the points (6, 7) and (9, 5)? Announcements β’ Add your own STAAR 5 An arithmetic sequence is defined by the rule f(x) = f(x β 1) β 7. If f(1) = 19, find f(3). STAAR 6 An arithmetic sequence is defined by the rule f(x) = f(x β 1) β 3. If f(1) = 16, find f(4). STAAR 7 Factor 2 144x β 49 STAAR 8 Simplify (ππ + π)(π β π) π π β ππ (x β 8)(x + 8) STAAR 9 Simplify (x βπ β πππ +10) π 10)(x (ππ β π)(π + ππ) STAAR 10 What is the vertex of the function below? f ( x) ο½ 3( x ο 5) ο« 4 2 F (3, -5) G (-5, 4) H (3, 5) J (5, 4) 11 STAAR 11 Which of the following has a vertex at (7, 3)? A B C D π π₯ π π₯ π π₯ π π₯ 2 7) = 2(π₯ β +3 2 = 5(π₯ + 7) + 3 2 = 3(π₯ + 3) + 7 2 = 7(π₯ β 2) + 3 12 Practice 12 Solve for a 79 ο½ a (11 ο 8) ο« 7 2 13 DEMO: Putting in the Values Vertex: (3, 2) Point: (5, 18) f ( x ) ο½ a ( x ο h) ο« k 2 7 ο½ a (6 ο 5) ο« 4 2 Solve for a. You Try 14 Vertex: (4, 3) Point: (6, 39) f ( x ) ο½ a ( x ο h) ο« k 2 39 ο½ a (6 ο 4) ο« 3 2 Solve for a. One More Time 15 Vertex: (2, 1) Point: (4, 21) f ( x ) ο½ a ( x ο h) ο« k 2 21 ο½ a (4 ο 2) ο« 1 2 Solve for a. STAAR 16 Solve this system of equations by elimination. 4 x ο« 3 y ο½ 26 5 x ο 3 y ο½ 19 17 STAAR 17 Solve this system of equations by elimination. 5 x ο« 8 y ο½ 52 9 x ο 2 y ο½ 28 18 STAAR 18 Solve this system of equations by elimination. 4 x ο« 3 y ο½ 13 9x ο 2 y ο½ 3 19 Systems by Substitution Solve this system of equations by substitution . 5 x ο« 4 y ο½ 28 y ο½ xο2 20 Again 20 Solve this system of equations by substitution. 7 x ο« 3 y ο½ 17 y ο½ x ο1 21 You Try 21 Solve this system of equations by substitution. 6 x ο« 5 y ο½ 57 y ο½ xο4 22 One More Time 22 Solve this system of equations by substitution . 3 x ο« 7 y ο½ 69 y ο½ x ο3 23 HANDOUT Get out your ruler. Which system of equation is represented by the graph? 3 A y οΎ ο x ο«1 2 1 y ο£ x ο3 2 3 B y οΌ ο x ο«1 2 1 y ο£ x ο3 2 3 C y οΎ x ο«1 2 1 y ο£ ο x ο3 2 23 What is the solution to this systems of equations? A (2, 2) B (1, 2) C (2, 1) D (3, 2) 24 25. Which inequality represents the range of this quadratic function? A B C D y β₯ -1 y β€ -1 yβ₯0 yβ€0 26. Which inequality best represents the domain of the function shown in the graph below? F -3 β€ x β€ 6 G -3 < x < 6 H -1 < x < 5 J -1 β€ x β€ 5 27. What is the rate of change? 3280 3240 3200 3160 3120 3080 (2000, 3160) (1000, 3120) 3040 3000 500 1000 1500 2000 2500 3000 3500 4000 Handout 28 Which graph represents the equation 6y + 12 = 3x ? F H G Handout 29 Which line is parallel to the line 2y = 3x + 8? A B C D 15x + 5y = 20 3x β 2y = -8 6x β 2y = 16 4x + 6y = 24 32 STAAR 30 Solve for x. Write identity or no solution if appropriate. 2 2x β 5 = 75 STAAR 31 Simplify this expression. Answer in simplest radical form. 75 + 48 STAAR 32 Which could be in the solution set for this inequality? F 9 G 12 H 10 J8 91 οΌ 8 x ο« 11 STAAR 33 Factor this trinomial. 2 5x + 17x β 12 STAAR 34 Factor this trinomial. 2 x + 18x + 81 STAAR 35 Solve this system of equations by graphing on your calculator. y = 2.5x + 75 y = 4x Reset your calc!! STAAR 36 Write an equation of the line passing through the points (4, 6) and (8, 5)? STAAR 37 Solve for y. 3x = 6y + 24 STAAR 38 The slope of the line passing through the points (10, y) and (6,5) is 1. What is the value of y? STAAR 39 An arithmetic sequence is defined by the rule f(x) = f(x β 1) β 5. If f(1) = 12, find f(4). STAAR 40 Simplify (π β π)(π β π) π π β π (x β 3)(x + 3) STAAR 41 Simplify this expression. Answer in simplest radical form. 7 8 STAAR 42 Simplify this expression. Answer in simplest radical form. 2 96 STAAR 43 Simplify this expression. Answer in simplest radical form. 24 + 3 54 STAAR 44 Solve this system of equations by elimination. 2 x ο« 3 y ο½ 39 10 x ο 3 y ο½ 33 47 Values of the function f(x) are given in the table below. x y What is f(9) ? STAAR 45 2 5 4 9 7 15 9 19 12 25 STAAR 46 Which is an equivalent expression. a 7 8 F 7 G H J 8 a 8 a 8 a a 7 7 1 6 3 5 (7 x )(6 x ) 30 3 11 4 A 42 x B 42 x 30 23 23 30 C 42 x D 42 x STAAR 47 3 8 1 3 (5 x )(2 x ) 17 F 10 x 24 24 G 10 x 3 11 H 10 x 24 17 J 10 x STAAR 48 4 STAAR 49 Simplify. Use only positive exponents. ο¨x ο© 3 2 4 STAAR 50 Simplify. Use only positive exponents. ο¨x ο© 3 4 2
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