Transformations
Describe the orientation of an image after a rotation 90 degrees clockwise about the origin.
The orientation will not be the same.
True or False. The following is a function. (4,2) (-3,4) (-4,2) (4,1)
False.
True or False.
Negative exponents result in fractions.
True.
When expressing a number using scientific notation, the number needs to be...
Greater than or equal to one but less than 10
True or False.
2 3/4 is an irrational number
False.
This is what translations preserve (keep).
Same size, shape and orientation
A mapping diagram shows a relationship that contains three different input values and four different output values. Is the relationship a function?
No. Each input does not have its own output.
Write the general rule for xa * xb.
xa+b
What will be the resulting multiplier if I am trying to express the number 372,000,000 in scientific notation?
3.72
Solve the following equation for x.
x2 = 169
x = -13 and 13
A triangle's preimage is in quadrant 2, flipped across the x-axis then flipped again across the y-axis. Where can I find the triangle's final image?
Quadrant 4
What is always true about the numbers in the first column of a table that represents a function?
The numbers are always different.
A student claims that 83 · 8-5 is greater than 1. Explain whether the student is correct or not.
Incorrect. When you add the exponents you get
8-2 which is a fraction 1/16.
Express the number 0.00003438 in scientific notation.
3.438 x 10-5
Explain the difference between rational and irrational numbers.
Rational numbers can be written as fractions, irrational numbers cannot.
How do the x and y coordinates change when a figure is translated right a units and down b units?
The x coordinate increases and the y coordinate decreases.
A school uses a spreadsheet input/output table to match students to their homerooms. Can you tell whether the table represents a function?
Yes. Each student can only be linked to one homeroom.
Explain why the exponents cannot be added in the product 123 · 113.
The bases are not the same.
Can 93,000,000 be written in scientific notation as 93 × 106? Why or why not?
93 is less than one but not less than 10.
Which of the following terms are larger?
9/4 or 2 1/4
The terms are equal.
What are the new coordinates for a point whose coordinates are (12,4) and whose scale factor is 1/2?
(6, 2)
Place the following equation in slope-intercept form.
x = -y -5
y = -x - 5
List two ways to show how 36 can be shown as a product of powers.
32 * 34
31 * 35
30 * 36
33 * 33
Express the number 7,348,000,001 in scientific notation.
7.348000001 x 109
Estimate the value of the square root of 18.
4.2 or 4.3