Scientific Notation
How do you write this number in standard form?
6.07\times 10^7
60,700,000
6^9\times6^-3
6^6
Write an equation that will have no solutions. Justify your answer.
Answers Vary.
Same coefficient with different constants.
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
(8.4\times 10^4)\divide (2\times 10^-2)
4.2\times 10^6
5^-2/5^-6
5^4
5 + 2x = 2x + 6
No Solutions
Solve the system of equations:
x=4
-3x-y= -24
( 4, 12)
Solve for x.
8x − 2 = −9 + 7x
x = -7
How many times greater is
6\times 10^6
than
3\times 10^-3
2\times 10^9
Between which two integers is
\sqrt 23
4 and 5
8x + 4(4x − 3) = 4(6x + 4) − 4
Infinite Solutions
Solve the system of equations:
8x+14y=4
-6x-7y = -10
( 4,-2)
Solve for n.
3n − 5 = −8(6 + 5n)
n = -1
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
3^5\times (3^2)^4
3^13
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
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
Olivia reads 220 books per year. Each book weighs
3.4\times 10^5
What is the total weight, in milligrams, of all the books Olivia reads in one year?
7.48\times10^7
What is the sign of this number when a is negative?
-\frac (a^4) 3
Negative
Choose a value for m and n that will make the equation have one solution.
4(2x+1)=mx+n
Answers Vary.
Cannot be m = 8 and n=4
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
Solve.
7(5a − 4) − 1 = 14 − 8a
a =1