QUESTION 1 A system of equations: Has two or more equations with the same set of
ID: 364281 • Letter: Q
Question
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 many equations 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 of Equations, the Matrix Form 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 $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.
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 ƒ(x) = 5x + 4 at ƒ(0)
9
1
4
0
Explanation / Answer
1. Has two or more equations with the same set of unknowns
A equation can only be solved when there are equal number of unknown variable and equation
2. All of the above
All the 3 methods can be used to solve a linear equation
3. It cannot be solved
A linear equation can only be solved when there are equal number of unknown variable and equation
4. True. A equation can only be solved when there are equal number of unknown variable and equation
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