Quadratic Functions:
1.
You have 150 yards of fencing to enclose a rectangular region. One side of the
rectangle does not need fencing. Find the dimensions of the rectangle that maximize
the enclosed area. What is the maximum area?
Complete the following
Graphs, Linear Equations, Models, and Complex Numbers
1.
Interpreting Graphs:
We often use graphs of recent data to project the changes in future data. The
following is the graph of a cars value. The car was bought for $20,000. Each year,
the cars value d
Systems of Nonlinear Equations and Inequalities
Answer the following questions to complete this lab. Show all your work for each
question to get full credit.
1.
Solve the given nonlinear system by the addition method.
2x + 14x = 16x (y +2y=3y)
16x + 3y =
Quadratic Equations and Linear Inequalities
This lab requires you to:
Identify and use the quadratic formula to solve a quadratic equation.
Solve an equation that is quadratic in form.
Write a linear inequality and solve it for a given condition.
Identify
21. Perform the indicated operation and simplify:
(6 9x)2
a.
36 108x + 81x2
b.
36 81x2
c.
36 54x + 81x2
d.
36 + 81x2
1. Square the expression (69x) (69x)
2. Multiply the first two terms in each binomial group. Next, multiply the outer terms in
each group,
Systems of Linear Equations in Three Variables
Answer the following questions to complete this lab. Show all of your work for each
question to get full credit.
1.
Solve the following system of equations:
a.
x = 6 + 2y + z
x + 1z = 6 + 2y
x = 6 + 2y +
Systems of Linear Equations in Two Variables
Answer the following questions to complete this lab. Show all of your calculations for
each question to get full credit.
1.
Solve the following system of linear equations using either the substitution
method or
Answer the following questions to complete this lab:
Functions and Their Graphs:
1.
Write a sentence stating in your own words what it means for a relation to be a
function.
If the relation is a function then check if the x in all the coordinates are the
1. Perform the indicated operation and simplify:
(6 9x)2
a.
36 108x + 81x2
b.
36 81x2
c.
36 54x + 81x2
d.
36 + 81x2
1. Square the expression (69x) (69x)
2. Multiply the first two terms in each binomial group. Next, multiply the outer terms in
each group,
Matrix Solutions to Linear Systems:
1.
Use backsubstitution to solve the given matrix. Begin by writing the corresponding
linear equations, and then use backsubstitution to solve your variables.
Determinants and Cramers Rule:
2.
Find the determinant of
MA1210: Week 1 Lab
Exponents, Scientific Notation, and Radicals
1.
Order of operations:
Solve using the order of operations. Be sure to show each step to receive full credit.
(16 2) 4 3 + 82
(8) x 4
(32) 3+82
29+ 82

2.
372
Exponents:
Define the prod