Algebra Mid-Term Studying
Solve. -5 - (-4)
-1
Solve. -8 + -12
-20
Solve. 6 + -14
-8
Name the multiplicative inverse of each of the following. a. 3 b. y c. 0.2
1/3, 1/y, 5
Write an algebraic expression for: three times the difference of a number, x, and 8
3(x-8)
Simplify. 2(3r + 3s) - 3(r - 2s)
3r + 12s
Write an algebraic expression for: the difference of three times a number, x, & 8
3x-8
Write an algebraic expression for: a number, x, less than 8
8-x
The grades that students get on their mid-terms vary directly with the amount of study time used to prepare for the test. If for example, a student who spend ten hours preparing for the mid-term received a 98, what might a student spending 30 minutes expect to receive? (One could argue that this example, is not realistic, because focused, study time is hard to measure, and students begin with varying degrees of material mastery which would be a very important factor) Is this Direct or Inverse Variation?
Direct
What is the order of the Order of Operations?
PEMDAS
Name the property. The same expression on both sides of the equal sign.
Reflexive
Name the property. Has three parts to it.
Transitive
Name the property. If pq - r = 0, then pq - r + r = 0 + r
addition property of equality
Name the property. k + 25 = 25 + k
commutative of +
Name the property. 2(3 x 4)
distributive
What are the three steps to graph an inequality?
find the boundary line, connect the points with a solid or dashed line, and then shade the side of the line that contains all the solutions
Does this flunk or pass the function test? x - y2 = 5
flunk
Does this flunk or pass the function test? {(-3,4), (-3,6), (4,5), (4,6)}
flunk
Fill in the blanks. A ________ is a relation in which each element of the domain is paired with exactly one element of the range. In other words, for every x there is a unique y.
function
Which way does the x-axis go?
horizontally
What is the phone test? *hint* EX: {(2, 4), (3, 4)} is NOT a function.
if x has more than one y value, then it is not a function.
If y varies directly as x, and y = 15 when x = 5, what is the constant of variation?
k=3
What are some characteristics of a graph of Direct Variation?
linear, through the origin
Name the property. If you multiply anything by zero, then the answer is zero.
multiplicative property of zero
What are some characteristics of a graph of Inverse Variation?
not linear, can't touch the x or y axis
Fill in the blanks. _______ lines have the same slopes.
parallel
Does this flunk or pass the function test? xy = 5
pass
Does this flunk or pass the function test? {(4, 16), (-4, 16)}
pass
Fill in the blanks. __________ lines have slopes that are the opposite reciprocals of each other.
perpendicular
Name the formula. y - y1 = m(x - x1)
point slope
Name the property. 4m - 7 = 4m - 7
reflexive
Name the formula. m = y2 - y1/x2 - x1
slope
Name the formula. Ax + By = C
standard form
Name the property. 9 + (3 + 7) = 9 + 10
substitution
What is the origin?
the center of a coordinate plane
What is absolute value?
the distance from a number to zero on a number line
True or False? (domain, range) is the same thing as (x, y).
true
True or False? You switch the inequality if you switch the order.
true
x = #, is a vertical line, & the slope is __________.
undefined
Which way does the y-axis go?
vertically
Write an algebraic expression for: a number, x, less 8
x-8
What is the proportion for Direct Variation?
x1/x2=y1/y2
What is the proportion for Inverse Variation?
x1/x2=y2/y1
What is the formula for Inverse Variation?
xy=k
What is the formula for Direct Variation?
y=kx
What is slope intercept form?
y=mx+b
y = #, is a horizontal line, & the slope is ____.
zero
What is the set builder format for x < 20.
{x|x<20}
