Final Review.

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Final Review

2) Subtract: (-3x2 + 4x – 6) – (-2x2 + 3x – 5) 1) Simplify: 5(x – 2) – 4(x – 2)

3) Solve the equation: -12 + 4x = 16 4) Solve: 2a – 6 < 3a + 8

5) Solve: |3x – 1| = 1 6) Solve: |x + 2| < 6

7) Find the domain and range of the relation: {(5, -1), (-4, 1), (7, -5)} 8) Find the slope of the line passing through the points (-1, 5) and (5, -8)

9) Write an equation of a line that has the slope -2 and the y-intercept 3. 10) Write the slope-intercept form of the line that passes through the point (-2, - 7) and is parallel to the line y = 4x + 3.

11) Graph: 4x + 8y = 16 12) Graph and shade the system: y > x + 6; 3x + y > 8

13) Solve the system for y: 4x + 5y = 6 3x – 5y = 22 14) How many solutions does the following system have? 2x – y = 6; 4x – 2y = 12

15) Evaluate the determinant of the matrix. 16) Solve the system of equations: a. 2x + 3y – z = 1 b. x + y + z = 3 c. 3x – y + z = 15

17) The graph y= x2-2 is called?

19) Find the maximum of the function: y = -2x2 – 4x – 2 20) Factor: 8x2 – 10x – 3

21) Factor: 64x2 - 81