Geometry
What are the different rigid motions?
Translation, rotation, reflection
6^9\times6^-3
6^6
Define a function.
A relationship where each input has exactly one output.
What are the three methods for solving a system of equations?
Elimination, Substitution, and Graphing.
Does 3 make this equation true?
2(x+1)=5
no
What do all the angles in a triangle sum to?
180 degrees
5^-2/5^-6
5^4
Which functions are not linear? Select all that apply.
A. y=x+32
B. y= x/5
C. y=x2 +4
D. x+2y=3
E. y=x3
C , E
Solve the system of equations:
x=4
-3x-y= -24
( 4, 12)
Solve for x.
8x − 2 = −9 + 7x
x = -7
If two parallel lines are reflected, they:
A. Become interesting
B. Stay parallel
C. Become perpendicular
How many times greater is
6\times 10^6
than
3\times 10^-3
2\times 10^9
Kizaiah and his friends decide to go bowling. The cost for the group is $15 for shoe rentals plus $4.00 per game.
Write an equation relating the total cost, C , of the outing to the number of games bowled, g.
C = 4g + 15
Solve the system of equations:
8x+14y=4
-6x-7y = -10
( 4,-2)
Solve for n.
3n − 5 = −8(6 + 5n)
n = -1
Explain how a dilation by a scale factor of 1/2 is different than a dilation by a scale factor of 2.
Scale factor of 1/2 creates an image half the size but a scale factor of 2 creates an image double the size.
3^5\times (3^2)^4
3^13
The Ace Telephone Co. charges a flat monthly fee of $22.00 for a telephone line and $0.20 per minute for long distance calls.
How many calls could you make if your phone budget is $30?
40 calls
A test contains 35 questions worth a total of 100 points. There are 2-point question and 7-point questions. How many 2-point questions are there?
29 two point questions
1/2(6x+8)=10
x=2
What do congruent and similar figures have in common? How are they different?
Both have same angles. Congruent has same side lengths.
A TV show had
3.5\times 10^6
viewers for their first episode and
8.5\times 10^7
viewers for their second episode. How many more viewers did they have for the second episode?
8.15\times 10^7
A machine salesperson earns a base salary plus a commission for every machine he sells. The linear model representing the salesperson’s total income is y = $300x + $40,000.
Interpret what each part of this equation represents in the context of this problem.
The y-intercept is $40,000; the salesperson earns a $40,000 salary in a year and that amount does not depend on x. The slope is $300 because the salesperson’s income increases by $300 for each machine he sells.
You are going on vacation and leaving your dog in a kennel. Kennel A charges $25 per day. Kennel B charges $20 per day and a one-time fee of $30 for grooming. After how many days will both kennels charge the same amount?
6 days
Find one value for P and one value for Q so that there are infinite values of x that make the equation true.
2(6x +0.5) = Px + Q.
P = 12 , Q = 1