Algebra Quiz
jpFlute
quiz92317.docx1.
A system of equations:
Has two or more equations with the same set of unknowns
Has one equation and two unknowns
Has two equations with different sets of unknowns
Has more sets of unknowns than equations
2.
A system of two linear equations and two unknowns can be solved by:
Elimination
Substitution
Graphing the equations
All of the above
3.
A system of two linear equations and three unknowns can be solved by:
Elimination
Substitution
Graphing the equations
It cannot be solved
4.
A system of equations has as many equations as there are variables (unknowns).
True
False
5.
Solve these two equations by elimination, substitution or graphing
Equation 1: x+y=1
Equation 2: -2x+4y=6
X=-1/3, y = 4/3
X= 4/3, y = -1/3
X=1/3, y=4/3
X=-4/3, y-=1/3
6.
For the following System of Equations, the Matrix Form included below is correct.
2x+y+z=4
6y+5z=-33x
5y-z=27
Matrix Form:
True
False
7.
The cost C (in millions of dollars) of removing p% of the industrial and municipal pollutants discharged into a river is given by
According to this model, explain why or why not it is possible to remove 100% of the pollutants?
8.
The admission fee at the county fair is $2 for children and $4 for adults. On a certain day, 2000 people enter the fair and $5000 is collected. Using c as the variable to represent the number of children and a as the variable for adults, write a system of equations to determine how many children and how many adults attended. Note down this system of equations so that you can use it for the next question.
9.
Based on the system of equations you wrote in the previous problem, how many children attended the county fair that day?
10.
Evaluate the function ƒ(x) = 5x + 4 at ƒ(0)
9
1
4
0
11.
The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model. P(x) = 230 + 40x - 0.5x2 What expenditure for advertising will yield a maximum profit?
40
0.5
230
20
12.
The concentration C (in mg/dl), of a certain antibiotic in a patient's bloodstream is given by where t is the time (in hours) after taking the antibiotic. What is the concentration 10 hours after taking the antibiotic?
13.
Write the logarithmic equation in exponential form.
Log2 16 = 4
14.
Find the domain of the function:
All real numbers
All real numbers except x=3
All positive real numbers
All real numbers except x=0
15.
pH is a measure of the hydrogen ion concentration of a solution. It is defined as the negative logarithm of the hydrogen ion concentration. The equation is:
pH = - log [H+]
If an acid has an H+ concentration of 10-7, find the pH?
16.
In order to join a movie streaming service, you pay a $75 annual fee, then $1.50 for each movie you stream. Which equation will allow you to determine the cost you will pay if you stream x number of movies? Select from the following equations and indicate the correct answer in the space below: 1st, 2nd, 3rd, or 4th.
17.
Evaluate the function at the indicated value of x.
Function: f(x) = 0.5x Value: x = 2
18.
Find the domain of the function
Domain: all real numbers x except x=7
Domain: all real numbers x except x=6
Domain: all real numbers x
Domain: all real numbers x except x = -6
19.
Express the following matrix as a system of equations:
20.
Solve for x.
