Exponents
Functions
Scientific Notation
Solving Equations
Miscellaneous
100
Simplify
3x2y3x5
3x7y3
100
What is a function?
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
For each x value input, there can only be one possible y output.
100
rewrite this number using scientific notation
559870000000
5.5987 x 1011
100
solve for y when x = 2
y=4x+ -3
y=5
100
A duck was given $9, a spider was given $36, and a bee was given $27. Based on this information, how much money would be given to a cat?
$18
$4.50 per leg
200
Simplify
(8w^3x^5)/(2wx^2)
4w2x3
200
Is this a function?
No.
200
rewrite using scientific notation
0.00070643
7.0643 x 10-4
200
solve for x when y = 24
y=3x+9
x=5
200
Simplify
(1/5)^3
1/125
300
Simplify
(x3)4
x12
300
Is this a function
Yes.
300
rewrite this number using standard notation
5.672 x 107
56720000
300
Simplify
(2/5)^4
16/625
300
You have a fox, a chicken, and a sack of grain. You must cross a river with only one of them at a time. If you leave the fox with the chicken he will eat it; if you leave the chicken with the grain he will eat it. How can you get all three across safely?
Take the chicken over first. Go back and bring the grain next, but instead of leaving the chicken with the grain, come back with the chicken. Leave the chicken on the first side and take the fox with you. Leave it on the other side with the grain. Finally, go back over and get the chicken and bring it over.
400
Rewrite using positive exponents
7-3
1/7^3
400
Is this a function?
No.
400
rewrite using standard notation
1.879 x 10-6
0.000001879
400
Will these lines intersect
y=3x+7
-6x+2y=-2
No, they are parallel (same slope)
400
Simplify
(125x4z3y)0
1
500
How can I rewrite 3-4
1/3*1/3*1/3*1/3
500
What is y when x = -7
-21
500
Find the product of these two numbers. Write your final answer using scientific notation.
5.876 x 105
3.87 x 104
2.274012 x 1010
500
Find the point of intersection for these two lines.
7x−8y=−12
−4x+2y=3
(0, 3/2)
500
Which of the following equations would produce a graph of a parabola?
y=2x+4
y=x3- 1
y=x2+2
y=1/2x+2
y=x2+2