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Algebra 2 Semester 1 Exam Review Worksheet 1 Name _______________________ 1) 2) Solve. –7x < 28 Right now you have $50 in a bank account. You want to buy a snowboard that costs $400. If you decide to put $25 a week in your account. How many weeks until you can buy the snowboard? 3) Solve. 3x – 20 < 12x + 7 4) Solve. 5(x – 2) > x + 10 5) Solve. 6x + 2 = 26 6) Write the expression using exponents. c c c c c c 7) Evaluate. –7 + 4(-2 + 5)2 8) Evaluate. 10 - 80 5 + 3 6 9) Simplify. 4x – y + 7y + 5(2x - 3y) 10) Evaluate 7x – 6 when x = 4. 11) Evaluate -3x2 – 5x - 28 when x = -4. 12) Solve. 4(3x + 5) = -3(2x + 3) + x 13) Solve. 7x + 26 = -3x – 4 14) Graph 10 and - 25 on a number line. 6 Algebra 2 Semester 1 Exam Review Worksheet 2 1) Which graph below is a function? Name _______________________ 2) Which function is represented by the graph shown? a. y x 3 2 b. y x 5 2 c. y x3 2 d. y x 2 3 3) If g(x) = x2 + 4x – 7, find g(-3). 4) What is the slope of the line that that passes through (-7, 5) and (-2, 9)? For numbers 5 and 6 show me the graphs on your calculator and then sketch the graph. 5) Graph. -3x – 4y = 8 6) Graph. y x 3 7) What is the slope and y-intercept of the line y= - 8) Write the equation of the line that passes through the point (3, 1) and has a slope of –5. 2 x + 4? 3 9) Write the equation of the line that passes through the point (-1, -9) and is parallel to the line y = 2x – 3. 10) What is the correlation represented by each of the scatter plots shown below? Algebra 2 Semester 1 Exam Review Worksheet 3 Name _______________________ 1) Solve by substitution. -10x + 3y = 24 x 7 y 17 2) Solve by elimination 4x – 5y = 21 3x - 2y = 14 3) Solve by elimination. 4) Solve using the quadratic formula. 15x – 21y = 22 -5x + 7y = 10 5) Solve using the quadratic formula. 2x2 – 6x + 3 = 0 7) Evaluate. 2 5O L 7 8O L M 1 6P N9 4P QM N Q 6x2 - 7x + 2 = 0 6) Solve using the quadratic formula. 3x2 + 5x = 1 8) Is the following relation a function? x y -7 -2 -5 6 0 3 1 2 1 5 9) What are the solutions of x2 = 36? 11) Solve by graphing. x2 - 4x = 5 13) Evaluate. 3 2 0O L -7 3 O L - 2M P M P -4 5 Q N 6 1Q N 10) Solve by graphing. x 2 4 x 21 0 12) If D is a 3 x 7 matrix and E is a 7 x 2 matrix, what are the dimensions of DE? 14) Multiply. -3 4 O L 0 3 1O L M M P 2 - 5 - 4P N1 - 5Q N Q. Algebra 2 Semester 1 Exam Review Worksheet 4 Name _______________________ 1) Solve using matrices, show set up. x + 2y = 18 7x + 4y = 24 2) Solve using matrices, show set up. x-y=5 -2x + 3y = -9 3) Solve using matrices, show set up. 2x – 2y + z = -9 y – z = -1 x + 3y + 2z = 8 4) Simplify completely. 5) Simplify completely. 54 · 50 6) Factor. x2 – 11x + 30 360 7) Factor. x 2 49 8) 2 10 9) Factor. 3x2 + 24x + 36 11) Is (2,3) a solution to the following system? 3 x 4 y 18 x 3 y 11 Solve for x and y. 6 2 2x y 3 10 11 10) Solve by factoring. 3x2 – 5x – 15 = 2x2 – 2x + 13