AnswersINMT3 Integrated Math 3 Sem 1 26-27Modeling with Quadratic Equations

Rational Equations Answers

10 verified answers
1
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Which solution to the equation is extraneous?

Question illustration
A
x = 1 and x = –4
B
neither x = 1 or x = –4
C
x = 1
D
x = –4
2
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What is the solution for the equation ?

Question illustration
A
b = –4 and b = 0
B
b = –4
C
b = 0 and b = 4
D
b = 4
3

Kent multiplies both sides of the equation below by an expression.Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now?

Question illustration
A
k squared minus 8 k minus 12 = 0
Option A
B
k squared + 8 k + 12 = 0
Option B
C
k squared minus 8 + 12 = 0
Option C
D
k squared minus 8 k + 12 = 0
Option D
4

What is the solution to the equation ?

Question illustration
A
m = 3
B
m = 6
C
all real numbers
D
no solution
5

What is the solution to the equation ?

Question illustration
A
h = eleven-thirds
Option A
B
h = 5
Option B
C
h = 7
Option C
D
h = twenty-one-halves
Option D
6

What is true about the solution of ?

Question illustration
A
, and they are actual solutions.
Option A
B
, but they are extraneous solutions.
Option B
C
x = 3, and it is an actual solution.
D
x = - 3, but it is an extraneous solution.
7

Consider the graph showing two functions. Which answer can be used to find the solution to the system of equations?

Question illustration
A
mc030-2.jpg
Option A
B
mc030-3.jpg
Option B
C
mc030-4.jpg
Option C
D
mc030-5.jpg
Option D
8

What is the solution to the equation ?

Question illustration
A
d = –4 and d = 2
B
d = –2 and d = 4
C
d = 1
D
d = 2
9

Working alone, it would take Shandra 40 minutes to sand a table. To sand the same table, also working alone, it would take Kelly 1 hour. If they work together, the situation can be modeled by the following equation, where t is the time it would take to sand the table working together.Shandra claims it will take them about 50 minutes working together, because 50 is the mean of 40 and 60. Which best describes Shandra’s claim?

Question illustration
A
Shandra’s claim is correct.
B
Shandra’s estimate is too high because she should have found the differences instead of the mean.
C
Shandra’s estimate is too high because it will take them about 24 minutes.
D
Shandra’s estimate is too low because it will take them about 100 minutes.
10

Janet wants to solve the equation . What should she multiply both sides of the equation by?

Question illustration
A
y
B
y2 – 1
C
y + 1
D
y2 + y + 2

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