Integrated Math 2 - Pre-test

What is the product of -10 and 5?

The bill for your dinner is $45.78.  If you want to include a 15% tip, what will be the total for your dinner?

Write an equation of variation for y = 30 when x = 5, where y varies inversly as x.

Calculate the absolute value of -6 * 2 + - 4 * - 3. [-6 * 2 + - 4 * - 3] =

Which of the followig is a perfect square?

What is the quotient of -16 and -4?

Subtract -1 - (-8).

Simplify the following expression: 4x + 5 + 2x

Simplify the following expression: 10y - (-2y) - 3z - 9z - 6y

Simplify the following expression: x⁵ * y⁴ * x ^-7 * y¹⁰ *When typing your answer use ^ to represent and exponent (ex: x^2); use * for multiplication; use / for division

Simplify the following expression: x⁸ / x² *When typing your answer use ^ to represent and exponent (ex: x^2); use * for multiplication; use / for division

Simplify the following expression: (4x)³ *When typing your answer use ^ to represent and exponent (ex: x^2); use * for multiplication; use / for division

2³ / 4 + 6 * 3 =

Evaluate 4x - 6 when x = 5.

The length of a rectangle is two more than the width.  The area is 35.  Find the length and the width.  (Hint: let x be the width.) When typing in your answer, list width first and length second.  Separate the two with a comma. (Ex: w=?, l=?)

What is the slope of the line with the equation: y = 3x - 10

Use a trignometric ratio to find x:

The matrix above is the vertex matrix of a figure.  Find the coordinates of the vertices of the figures after the figure has been translated 2 units up, then 1 unit down. List the new coordinates in order of the original matrix. (i.e - the original matrix would be listed (1,0), (1,1), (4,0), (3, -4)

Solve the equation below for x.

Rationalize the denominator of the fraction belwo. What will be the new rationalized fraction?

What is 49 written as a product of prime factors?

Use the Pythagorean Theorem to find the hypotenuse of a right triangle with legs that measure 3 and 4.

What is the greatest common factor of 12 and 28?

Solve the following equation using the quadratic formula: x²= - 3x+10 (Remember to set the equation equal to 0.) If there are two solutions type your answer as follows: x=?, x=? (Type a comma between the two answers)

Check the three properties that are illustrated by the three expressions below. Each one demonstrates a different property.   I.    (-1 * 7) + 2 = 2 + (-1 * 7)  II.    9 * 1 = 9 III.    4 (2 + 6) = (4 * 2) + (4* 6)