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For 1-3 solve the equation using the square root property
1. (m+1)^2 = -1
2. (p-1)^2 = 12
3. (t+5)^2 = -18
For 4 & 5, find the value of n such that the expression is a perfect square trinomial, then factor it.
4. X^2 -9X+n
5. Z^2 -2/5z +n
For 6-8, solve the equation by completing the square and applying the square root property
6. 3X^2 + 2X +1 = 0
7. W^2 + 4W = -13
8. b^2 + 7/2b = 2
For 9-11, write the function in the vertex form of a parabola and give the coordinates of the vertex, X-intercepts, y- intercepts and sketch a graph by hand.
9. P(x) = -5X^2 -10X -13
10. Z(x) = X^2 -6X +7
11. q(x) = -3X^2 -24X -54
Select five values for x to plug into the linear function, P(x)=10x-7 and prepare a table of values
Identify the sample and suggest a population
Evaluate the ratios and check are the ratios equivalent.
Define variables and profit function
Assume you have a lemonade stand, & when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 cups. Make an equation for the number of cups you sell as a function of the price you charge. Denote "C"..
For each of the relationships given below, describe whether you think it is best explained by a linear function or a non-linear function.
Which of the following are functions? The two problems, i.e., 1 & 3, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reason for 1, 2, & 3.
Using venn diagram for solving word problems.
The joint probability density function.
Applications of combination
Solving problems using venn diagram.
Solving problems into equation.
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