1.
What is the product of -10 and 5?
2.
The bill for your dinner is $45.78. If you want to include a 15% tip, what will be the total for your dinner?
3.
Write an equation of variation for y = 30 when x = 5, where y varies inversly as x.
4.
Calculate the absolute value of -6 * 2 + - 4 * - 3.
[-6 * 2 + - 4 * - 3] =
5.
Which of the followig is a perfect square?
6.
What is the quotient of -16 and -4?
7.
Subtract -1 - (-8).
8.
Simplify the following expression: 4x + 5 + 2x
9.
Simplify the following expression: 10y - (-2y) - 3z - 9z - 6y
10.
Simplify the following expression: x^{5} * y^{4} * x ^{-7} * y^{10}
*When typing your answer use ^ to represent and exponent (ex: x^2); use * for multiplication; use / for division
11.
Simplify the following expression: x^{8} / x^{2}
*When typing your answer use ^ to represent and exponent (ex: x^2); use * for multiplication; use / for division
12.
Simplify the following expression: (4x)^{3}
*When typing your answer use ^ to represent and exponent (ex: x^2); use * for multiplication; use / for division
13.
2^{3} / 4 + 6 * 3 =
14.
Evaluate 4x - 6 when x = 5.
15.
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=?)
16.
What is the slope of the line with the equation: y = 3x - 10
17.
Use a trignometric ratio to find x:
18.
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)
19.
Solve the equation below for x.
20.
Rationalize the denominator of the fraction belwo. What will be the new rationalized fraction?
21.
What is 49 written as a product of prime factors?
22.
Use the Pythagorean Theorem to find the hypotenuse of a right triangle with legs that measure 3 and 4.
23.
What is the greatest common factor of 12 and 28?
24.
Solve the following equation using the quadratic formula: x^{2}= - 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)
25.
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)
A.
Identity property of addition
B.
Identity property of multiplication
C.
D.
Commutative property of addition
E.
Commutative property of multiplication
F.
Associative property of addition