Solving Equations & Inequalities
Solve:
3x - 15 = -21
x = -2
What is the slope of 2x + 3y = 6?
m = -2/3
Factor:
x2 + 10x + 16
(x + 8)(x + 2)
What is the difference between a natural and a whole number?
Natural numbers do not include ZERO. Whole numbers do include ZERO.
Solve:
x+5/12 = x-2/8
x = 16
Solve:
-4 (2 - x) = 24
x = 8
A business purchases a computer for $2000. The value of the computer depreciates $400 per year. Which linear equation gives the value y of the computer after x years?
y = 2000 - 400x
Factor:
x2 - 49
(x + 7)(x - 7)
Define what an irrational number is and give at least one example.
An irrational number is a number that can not be written as a fraction. It is a decimal that continues on and on indefinitely, does not terminate, and it does not have a pattern.
Examples: Pi, Square root of two
Paola went to the movies. She spent a total of $50. She spent $10 on food and saw 8 movies. How much did each movie cost?
$5
Solve:
4x + 3(x - 2) = 5x - 20
x =7
What is the slope of the equation perpendicular to the line 2x - 5y = 6?
m = -5/2
Find the area of a rectangle with a length that is 2 more than 5 times the width.
5x2 + 5x
Simplify the square root of 56.
2 radical 14.
You purchase a stereo system for $830. The value of the stereo system decreases 13% each year. What is the value of the system after 3 years?
$546.56
-2x + 3 < 5x - 4
x >1
Which is an equation of the line containing the points (-1, 5) and (3, 9)?
y = x + 6
Factor:
2x2 - 11x - 21
(2x + 3)(x - 7)
Simplify -2 +/- the square root of 5
0.24 and -4.24
Write 5.67 X 10-4 in standard form.
0.000567
Solve and simplify: (6a - c)/2(b - a), when a = 2, b = 7, c = 10.
1/5
Write an equation parallel to y = 3/4x - 3 and contains the point (0, 5).
y = 3/4x + 5
What is volume of a rectangular prism that has a length of 2x + 5, a width of 3x and a height of 4x - 1.
24x3 - 66x2 - 15x
What is the Quadratic Formula and why do we use it?
-b +/- the square root of b^2-2ac and it is all divided by 2 times a.
We use the Quadratic Formula to find the solution of a quadratic equation when A does not equal 1.
Write the statement below as an expression:
The sum of one forth of the number x and 10 is 24.
1/4x + 10