Question 1

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

Question 2

A system of two linear equations and two unknowns can be solved by:

Elimination

Substitution

Graphing the equations

All of the above

Question 3

A system of two linear equations and three unknowns can be solved by:

Elimination

Substitution

Graphing the equations

It cannot be solved

Question 4

A system of equations has as manyequations as there are variables(unknowns).

True

False

Question 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

Question 6

For the following System ofEquations,theMatrixForm included below is correct.

2x+y+z=4

6y+5z=-33x

5y-z=27

Matrix Form:2 1 1 / 4

33 6 5 / 0

0 5 -1 / 27

True

False

Question 7

The cost C (in millions of dollars) of removing p% of the industrial and municipal pollutants discharged into a river is given by

C= 245p/100-p, 0 p < 100

According to this model, explain why or why not it is possible to remove 100% of the pollutants?

Question 8

The admission fee at the county fair is$2for children and$4for adults. On a certain day,2000people enter the fair and$5000is collected. Usingcas the variable to represent the number of children anda as the variable for adults, write 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.

Question 9

Based on the system of equations you wrote in the previous problem, how many children attended the county fair that day?

Question 10

Evaluate the function (x) = 5x + 4 at (0)

9

1

4

0

Question 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 - 0.5x²What expenditure for advertising will yield a maximum profit?

40

0.5

230

20

Question 12

The concentration C (in mg/dl), of a certain antibiotic in a patient's bloodstream is given by50t/t^2+25where t is the time (in hours) after taking the antibiotic. What is the concentration 10 hours after taking the antibiotic?

Question 13

Write the logarithmic equation in exponential form.

Log₂16 = 4

Question 14

Find the domain of the function: f(x)=3/x

All real numbers

All real numbers except x=3

All positive real numbers

All real numbers except x=0

Question 15

pHis a measure of the hydrogen ion concentration of a solution. It isdefined as the negative logarithm of the hydrogen ion concentration.The equation is:

pH = - log [H⁺]

If an acid has anH⁺concentration of 10^-7, find the pH?

Question 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 todetermine the cost you will pay if you stream x number of movies?

Question 17

Evaluate the function at the indicated value of x.

Function:f(x)=0.5^xValue: x = 2

Question 18

Find the domain of the function

f(x)=7/6-x

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

Question 19

Express the following matrix as a system of equations:

2 3 / 5

-4 7 / 2

Question 20

Solve for x.

4^x= 16