Draft Advanced Math 1 Pretest

Draft Advanced Math 1 Pretest

Draft Advanced Math 1 Pretest

Multiple Choice

Identify the letter of the choice that best completes the statement or answers the question.

____1.Identify the graph of the complex number .

a. / / c. /
b. / / d. /

____2.Determine which binomial is a factor of .

a. / x + 5 / b. / x + 20 / c. / x – 24 / d. / x – 5

Short Answer

Find the additive inverse and the multiplicative inverse of the number.

3.

Evaluate the expression for the given value of the variable(s).

4.; x = –3

Simplify by combining like terms.

5.

6.

7.Find the perimeter of the figure. Simplify the answer.

Solve the equation.

8.

9.

10.

11.

12.

14.

15.

Solve the equation or formula for the indicated variable.

16. , for U

Solve for x. State any restrictions on the variables.

17.

18.A rectangle is 3 times as long as it is wide. The perimeter is 60 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.

19.The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm?

Solve the inequality. Graph the solution set and write solution in interval notation.

20.2 + 2k 8

Solve the compound inequality. Graph the solution set and write the solution in interval notation.

21.5x + 10  10 and 7x – 7  14

Use the graphing calculator to solve the system by graphing. State the window used.

22.

Solve the system by the method of substitution.

23.

Use the elimination method to solve the system.

24.

Simplify

25.

26.

26

  1. Expand
  1. Multiply

Write an equation of the line described.

29.Passes through (4,7) and (-3,8)

30.Passes through (-5,2) with slope 2/3

31. Passes through (2,9) and perpendicular to the line with equation 3x +5y = 12

Find the domain of each function. Write in interval notation.

32.y = 3x2 + 2x + 7

33. y =

34. y =

35. y = log(x - 2)

Graph

  1. y = |x + 1| - 2

37.

Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.

38.

  1. Use vertex form to write the equation of the parabola.

Factor the expression.

40.

41.

42.

43.

44.

45.

46.

Write the number in the form a + bi.

47.

48.Find the additive inverse of .

Simplify the expression.

49.

Solve the quadratic equation by completing the square.

50.

Use the Quadratic Formula to solve the equation.

51.

52.Write the polynomial in standard form.

53.Write 4x3 + 8x2 – 96x in factored form.

54.Find the zeros of . Then graph the equation.

Divide using synthetic division.

55.

56.Solve . Find all complex roots.

Find the roots of the polynomial equation.

57.

Find the real-number root.

58.

59.Multiply and simplify . Assume that all variables are positive.

60.

Rationalize the denominator of the expression. Assume that all variables are positive.

61.a. b.

Add if possible.

62.

Simplify.

63.

64.

Multiply.

65.

66.Write the exponential expression in radical form.

Find domain and range and tell where each function is increasing, decreasing, and constant.

(Graphs---2 continuous and one discontinuous) To be cut and pasted.

68.

69.

70.