Numerical Representations and Relationships
TRUE OR FALSE
The square root of 1 is a rational number.
True
Complete the sentence. The graph of a proportional relationship is a ___________________
straight line passing through the origin
When dilating a figure, A scale factor of 5/3 will
enlarge the shape
Simple interest formula I=Prt
the "t" is time in months
FALSE; t is time in years
Give an example of a scale factor that would reduce a shape
1/3 1/5 1/2 2/3 .... , <1 but > 0
1.234 x 10-5 =
0.00001234
In the linear equation y = mx + b
The slope is represented by the variable
m
Given the side lengths of a right triangle: 37.5, 30, and 22.5
Which side length is c?
37.5
Compound Interest A = (P + %)t
A is the amount of interest the account will earn at the end of the time period given
FALSE; A is the ACCOUNT BALANCE INCLUDING THE ORIGINAL AMOUNT DEPOSITED + THE INTEREST EARNED
Give an example of an ordered pair for a y-intercept
(0, any number you pick) NOT 0 because that would be considered proportional
Order from least to greatest
27%, - 17, 12, 2/5
-17, 27%, 2/5, 12
In the linear equation y = mx - b
The y-intercept would cross ______ the origin
ANSWER OPTIONS: ABOVE, BELOW, OR THROUGH
below
The Pythagorean Theorem is used to find the length of a missing side of a right triangle.
a2 + b2 = c2
What is the name of side c?
Hypotenuse
Sue is planning to pay for part of her college using a $12,000 student loan. How much interest will she pay if she borrows the money for 5 year at 4.75% WITH SIMPLE INTEREST?
$2850
Describe the graph of a Direct Variation
Straight line passing through the origin
List in ascending order
8/15 60% 0.5 4/9
4/9, 0.5, 8/15, 60%
When given two points you can calculate the slope by
dividing the change in y by the change in x
y2-y1
x2-x1
The volume of a cone with a diameter of 10cm and a height of 7cm is
183 cm3
How much money will be in a savings account that is opened with $5000, no additional deposits or withdrawals, earning 2.2% for five and one half years? Use Simple interest
$5605
What is the slope of y= -3
ZERO (HORIZONTAL)
- 1/9 is Irrational. TRUE OR FALSE; AND JUSTIFY
FALSE, -1/9 IS A FRACTION THAT CAN BE CHANGED TO A REPEATING DECIMAL. -0.111...
ANY NUMBER THAT CAN BE WRITTEN AS A FRACTION IS RATIONAL.
A triangle reflected from Quadrant II across the x-axis would have ordered pairs with what value?
( - , - )
The algebraic representation for a translation of three up and five left is
(x, y) - (x - 5 , y + 3)
How much interest will you pay if you borrow $12,000 for 4 years at 5% annual compound interest?
$2,586.08
What is the slope of x= 13
UNDEFINED (VERTICAL)