FINAL EXAM REVIEW ITEMS

1) Find the SUM of the solutions of the equation. 8x² + 40x = 16x

Use the quadratic formula to solve the equation . (All solutions are real numbers.)

2) x² = 3 - 4x

Choose the equation that matches the graph.

3)

A) f(x) = x² - 2x - 5
B) f(x) = -x² + 2x - 5
C) f(x) = x² + 2x + 5
D) f(x) = x² + 2x - 5

Use the square root property to solve the equation.

4) y² = 12

5) (x - 17)² = 81

6) Find the SUM of the solutions of the fol lowing quadratic equation. x2 + 9x - 36

Find the product.

7) (5a - 8b)(-7a - 6b)

8) (4x + 7y)²

9) (x - 2)(x² + 2x + 4)

10) (3a + 5c)(3a - 5c)

Factor by grouping .

11) x³ + 5x² + 6x + 30

12) 32r² + 12ry - 8xr - 3xy

Perform the indicated operation.

14) Perform the long division to find the remainder.

Simplify the complex fraction.

Find the domain of the function.

Factor the trinomial.

18) x² - x - 90

Factor.

19) 6z² + 5z - 6

Factor completely.

20) One of the factors of u² - 3u - 40 is

Factor completely.21) 30x² + 25x + 12x + 10

Factor completely.

22) 3x³ + 9x² - 30x

Factor completely.

23) x³ - 343

Solve the problem.

24) The product of two consecutive negative integers is 89 more than their sum. Find the larger integer.

25) The length of a rectangular storage room is 3 feet longer than its width. If the area of the room is 40 square feet, find its dimensions.

Give the quadrant in which the point is located.

26) (5, -11)

27) Find the slope of the line through (-4, 4) and (2, 6).

Find the slope and the y- intercept of the line .

28) -4x + 8y = 8

Graph the following line.

Solve the equation.

30) 8x² - 3x = -9

31) 8k² - 55k - 7 = 0

Ex press the rational expression in lowest terms .

Solve the equation.

33) 4(2z - 4) = 7(z + 3)

Solve the equation for the specified variable.

34) 9k + ar = r - 6y for r

Solve the formula for the specified variable.

36) Simplify by reducing to lowest terms:

Perform the indicated operation and simplify .

Simplify the complex fraction .

Simplify.

Solve by system to find the x value of the solution .

40) 2x + 3y = 4 -4x - 6y = 8

Solve the absolute value equation or indicate that the equation has no solution.

41) |6x + 4| + 8 = 13

Evaluate the function.

42) f(x) = x - 8 Find f(-1)

43) f(x) = 5x² + 4x + 8 Find f(4)

Solve the equation. Be sure to check your proposed solution by substituting it for the variable in the given equation.

44) 8y - 3 = -2 + 4y

Solve the equation.

Express using positive exponents . Then simplify.

Simplify the expression. Write your answer with only positive exponents.

49) Simplify:

Perform the indicated operation. Give the result in standard form.

Solve and graph.

52) 7z + 1 > 6z + 7

53) -6c + 7 ≤ -7c + 13

Simplify. Assume that all variables represent positive real numbers.

Find the x- and y-intercepts for the equation. Then graph the equation.

57) 2x - 4y = 4

Perform the indicated operation and simplify.

59) Perform the indicated operation.

Graph the linear inequality .

60) 3x + y ≤ 2

61) x + 3y ≥ -2

62) Find the quotient when 6m² + 17m - 28 is
divided by m + 4.

63) For f(x) = 4x² + 3x + 2, the parabola opens
____________.

A) To the left B) Upward
C) To the right D) Downward

Find the slope of the line.

64)