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Question 1 1. Determine which of the following points lies on the graph of the equation: (0,7) (0,6) (0,5) (6,5) (1,5) Question 2 Complete the table. Use the resulting solution points to sketch the graph of the equation. Question3 Graphically estimate the x- and y- intercepts of the graph: y = x3 - 9x x-intercept: (±3,0),(0,0) y-intercept: (0,0) x-intercept: (3,0),(0,0) y-intercept: (0,0) x-intercept: (-3,0),(0,0) y-intercept: (0,0) x-intercept: (0,±3),(0,0) y-intercept: (0,0) x-intercept (0,3),(0,0) y-intercept (0,0) Question 4 Find the x- and y-intercepts of the graph of the equation y=49-7x x-intercept: (7,0) y-intercept: (0,-7) x-intercept: (49,0) y-intercept: (0,7) x-intercept: (-7,0) y-intercept: (0,-49) x-intercept: (49,0) y-intercept: (0,49) x-intercept: (7,0) y-intercept: (0,49) Question 5 Determine whether the value of x=7 is a solution of the equation: 2. no yes Question 6 Solve the equation 8-5x=6 Question 7 Solve the equation and check your solution. -2-4x=30 9 -11 -8 7 -10 Question 8 Solve the equation and check your solution. 5y + 1 = 6y - 5 + 8y 2/3 3/2 6/5 5/6 -2/3 Question 9 Solve the equation and check your solution. 67x - 24 = 3x + 8(8x-3) 3 67 -3 -67 All real numbers Question 10 Solve the equation and check your solution. 10 6 7 9 8 Question 11 Solve the equation and check your solution. (If not possible, explain why.) 2 5 6 4 10 Question 12 3. 4. Solve the equation and check your solution. (If not possible, explain why) 5. -18 7 11 No solution. The variable is divided out. 20 Question 13 Write the quadratic equation in general form. 4x2 = 8 - 9x 4x2 + 9x + 8 = 0 4x2 + 9x = -8 4x2 - 9x - 8 = 0 -4x2 + 9x - 8 = 0 4x2 + 9x - 8 = 0 Question 14 Solve the quadratic equation by factoring. x2 - 6x + 5 = 0 -1, 5 -1,-5 1,-5 1,5 6,5 Question 15 Solve the quadratic equation by factoring. x2 + 8x + 16 = 0 4 -1/4 -4 ±4 1/4 Question 16 Solve the equation by extracting square roots. (x+6)2 = 5 6 + √5 -6 ± √5 -6 -√5 6 ± √5 -6 + √5 Question 17 Use the Quadratic Formula to solve x2 + 20x + 98 = 0 x = -8, x = -12 x = -√2 - 10, x = √2 - 10 x = -√3 - 10, x = √3 - 10 x = 10, x = -10 x = -√2 - 9, x = √2 - 9 Question 18 Write the complex number in standard form. √ -9 3i -3i 9i 4i -9i Question 19 Find real numbers a and b such that the equation is true. a + bi = 14 + 2i a=16, b=4 a=18, b=6 a=14, b=2 a=15, b=14 a=17, b=5 Question 20 Find all solutions to the following equation. x = -17/4 x=9 no solution x=-17 x=-8 Question 1 1. Determine which ...
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1.
Question 1. Find the
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2.
3.
4.
5.
6.
7.
8.
9.
10.
Question 2. Find the
square root of 12.0068 correct to four decimal places.
11.
Solution: Question 3. Find the
square root of 11 correct to five decimal places. Solution: Question 4. Given that √2, = 1-414, √3 = 1.732, √5 = 2.236 and √7 = 2.646. Evaluate each of the following : Solution:
12.
Question 5. Given that
√2 = 1-414, √3 = 1-732, √5= 2.236 and √7= 2.646, find the square
13.
roots of the
following : Solution:
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