AnswersCrowley Summer 26 Credit Recovery Algebra 2 ASolving Systems of Equations in Three Variables

Solving Systems of Equations in Three Variables — Unit test Answers

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1
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Solve the system of equations.a.c.b.d.

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A
B
B
C
C
D
D
2
Free Preview

Solve the system of equations.a.c.b.d.

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A
A
B
B
C
C
D
D
3

The following system has a solution: a.yesc.can’t determine the answerb.no

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A
B
B
C
C
4

Which system of equations is consistent and dependent?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Organizers of the town fair make a total of $706 from selling 164 hot dogs and 74 hamburgers at one of their concession stands. At their other concession stand, they make $884 by selling 256 hot dogs and 61 hamburgers. If the prices are the same at both concession stands, what is the price of a hot dog?

A
$0.40
B
$2.50
C
$3.75
D
$4.00
6

Sharon is jumping from an 18-foot diving board with an initial upward velocity of 4 ft/s. When Sharon jumps, Megan throws a beach ball up to Sharon with an initial upward velocity of 16 ft/s from a height 5 feet off the ground. To the nearest hundredth of a second, how long after she jumps does the ball reach Sharon?

A
0.65 seconds
B
0.92 seconds
C
1.08 seconds
D
1.15 seconds
7

Brandi is downloading music for her MP3 player. Albums cost $10 each, and singles cost $1 each. She wants to purchase at least 5 singles but wants to spend no more than $25 total. If Brandi purchases x albums and y singles, which of the following is a possible combination of albums and singles that Brandi could purchase and stay within her guidelines?

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5 albums and 2 singles
2
2 albums and 5 singles
2
2 albums and 10 singles
1
10 albums and 2 singles
8

Given that (3, 2, –6) and (–2, 5, 1) are solutions of two equations in a system of three linear equations, which of the following is true about the system?

A
The system can only be consistent and independent.
B
The system can be either inconsistent and independent or consistent and dependent.
C
The system can be either inconsistent and dependent or consistent and independent.
D
The system can only be inconsistent and dependent.
9

Which classification describes the following system of equations?

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A
inconsistent and dependent
B
consistent and dependent
C
consistent and independent
D
inconsistent and independent
10

Which classification describes the following system of equations?

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A
inconsistent and dependent
B
consistent and dependent
C
consistent and independent
D
inconsistent and independent
11

During a pumpkin launching contest, two pumpkins are launched at the same time. The path of pumpkin A is modeled by the equation y = –0.01x2 + 0.32x + 4. The path of pumpkin B is modeled by the equation y = –0.01x2 + 0.18x + 5. If x represents the distance the pumpkin traveled in feet and y represents height of the pumpkin in feet, what does the intersection point of the equations represent?

A
the height at which the pumpkins reach their greatest horizontal distance from the launch site
B
the horizontal distance of the pumpkins from the launch site when they reach the ground
C
the starting height of the pumpkins when they are at the launch site
D
the horizontal distance of the pumpkins from the launch site when their heights are the same
12

Galena is solving the following system.Step 1: She multiplies equation (3) by 3 and adds it to equation (1). Step 2: She multiplies equation (3) by –7 and adds it to equation (2). Which statement explains Galena’s mistake?

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A
She added equation (1) instead of equation (2) in step 1.
B
She did not multiply equation (3) in step 1 by the correct value.
C
She did not multiply equation (3) in step 2 by the correct value.
D
She added equation (2) instead of equation (1) in step 2.
13

How do you know that a system has no solution?

Answer not available
14

Ana Jones asks her broker to divide her 401K investment of $2000 among the International Fund, the Fixed Assets Fund, and company stock. She decides that her investment in the International Fund should be twice her investment in company stock. During the first quarter, the International Fund earns 4.5%, the fixed Assets Fund earns 2.6%, and the company stock falls 0.2%. At the end of the first quarter, Ms Jones receives a statement indicating a return of $58 on her investment. How did the broker divide Ms. Jones’ initial investment?

Answer not available
15

The constraints of a problem are listed below. What are the vertices of the feasible region?

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A
(0, 0), (0, 3), (2, 3), (5, 0)
B
(0, 0), (0, 5), (2, 3), (5, 0)
C
(0, 0), (2, 3), (5, 0)
D
(0, 3), (0, 5), (2, 3)

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