Question 1

Solve, using the substitution method, and check. $\begin{array} { c } 
9 x - y = 11 \
y = - x
\end{array}$

Accepted Answer

A)  $\left( - \frac { 11 } { 10 } , \frac { 11 } { 10 } \right)$ 
B)  $\left( \frac { 11 } { 10 } , - \frac { 11 } { 10 } \right)$ 
C)  $\left( - \frac { 10 } { 11 } , \frac { 10 } { 11 } \right)$ 
D)  $\left( \frac { 10 } { 11 } , - \frac { 10 } { 11 } \right)$ 
E)  $\left( - \frac { 11 } { 10 } , - \frac { 11 } { 10 } \right)$ 
A)  $\left( - \frac { 11 } { 10 } , \frac { 11 } { 10 } \right)$ 
B)  $\left( \frac { 11 } { 10 } , - \frac { 11 } { 10 } \right)$ 
C)  $\left( - \frac { 10 } { 11 } , \frac { 10 } { 11 } \right)$ 
D)  $\left( \frac { 10 } { 11 } , - \frac { 10 } { 11 } \right)$ 
E)  $\left( - \frac { 11 } { 10 } , - \frac { 11 } { 10 } \right)$

Question 2

How much of a 2% solution and a 12% solution would you use to make 500mL of a10%-electrolyte solution?
Amount of 2% solution: __________ mL
Amount of 12% solution: __________ mL

Accepted Answer

The answer of How much of a 2% solution and...

Question 3

Solve, using the substitution method, and check. $\begin{array} { l } 
5 x - 4 y = 3 \
2 x + y = 22
\end{array}$

Accepted Answer

A)  (7, -8) 
B)  (2, 13) 
C)  (8, 9) 
D)  (4, 11) 
E)  (7, 8) 
A)  (7, -8) 
B)  (2, 13) 
C)  (8, 9) 
D)  (4, 11) 
E)  (7, 8)

Question 4

Solve the pair of linear equations by addition. $\begin{array} { l } 
\frac { 1 } { 5 } x - \frac { 2 } { 7 } y = 1 \
2 x - 2 y = 7
\end{array}$ If there is one common solution, select the correct ordered pair of the point of intersection. If there is no one common solution, select either parallel or coincide for the correct answer.

Accepted Answer

A)  $\left( \frac { 1 } { 2 } , - \frac { 1 } { 2 } \right)$ 
B)  $\left( 0 , - \frac { 1 } { 2 } \right)$ 
C)  $\left( 0 , - 3 \frac { 1 } { 2 } \right)$ 
D)  The lines are parallel. 
E)  The lines coincide. 
A)  $\left( \frac { 1 } { 2 } , - \frac { 1 } { 2 } \right)$ 
B)  $\left( 0 , - \frac { 1 } { 2 } \right)$ 
C)  $\left( 0 , - 3 \frac { 1 } { 2 } \right)$ 
D)  The lines are parallel. 
E)  The lines coincide.

Question 5

Draw the graphs of the pair of linear equations. $\begin{array} { c } 
7 x - 6 y = 13 \
4 x + 3 y = 2
\end{array}$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 6

A hospital has a 2%-saline solution and an 8%-saline solution on hand. How much of each should be used to prepare 3,600 cm 3 of 7%-saline solution?
Amount of 2%-saline solution: __________ cm 3 
Amount of 8%-saline solution: __________ cm 3

Accepted Answer

Question 7

Solve, using the substitution method, and check. $\begin{array} { c } 
3 x + y = 6 \
y = 2 x
\end{array}$

Accepted Answer

A)  (2.2, 4.4) 
B)  (3.8, 7.6) 
C)  (6, 12) 
D)  (1.2, 2.4) 
E)  (3, 6) 
A)  (2.2, 4.4) 
B)  (3.8, 7.6) 
C)  (6, 12) 
D)  (1.2, 2.4) 
E)  (3, 6)

Question 8

Solve the pair of linear equations by addition. $\begin{array} { l } 
4 x + 13 y = 52 \
8 x + 15 y = 60
\end{array}$

Accepted Answer

The answer of Solve the pair of linear equations by...

Question 9

Draw the graphs of the pair of linear equations. $\begin{array} { l } 
3 x + 2 y = 20 \
2 x - 3 y = 22
\end{array}$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

When three identical compressors and five air-handling units are in operation, a total of 39 A are needed. When only two compressors and four air-handlers units are being used, the current requirements is 28.8 A. How many amps are required by each compressors and by each fan?

Accepted Answer

A)  5 A are required by each compressor,
5)2 A are required by each fan. 
B)  6 A are required by each compressor,
4)2 A are required by each fan. 
C)  9 A are required by each compressor,
1)2 A are required by each fan. 
D)  5.5 A are required by each compressor,
4)7 A are required by each fan. 
E)  4.2 A are required by each compressor,
6 A are required by each fan. 
A)  5 A are required by each compressor,
5)2 A are required by each fan. 
B)  6 A are required by each compressor,
4)2 A are required by each fan. 
C)  9 A are required by each compressor,
1)2 A are required by each fan. 
D)  5.5 A are required by each compressor,
4)7 A are required by each fan. 
E)  4.2 A are required by each compressor,
6 A are required by each fan.

Question 11

A dairyman wants to make 252 lb of 15%-butterfat cream. How many pounds of 30%-butterfat cream and how many pounds of 3%-butterfat milk must he mix?
__________ pounds of 30%-butterfat cream
__________ pounds of 3%-butterfat milk

Accepted Answer

The answer of A dairyman wants to make 252 lb...

Question 12

An engine on a test stand was operated at two fixed settings, each with an appropriate load. At the first setting, fuel consumption was 1 gal every 15 min. At the second setting, it was 1 gal every 20 min. The test took 10 h, and 37 gal of fuel were used. How long did the engine run at each setting?

Accepted Answer

A)  The engine ran for 7 h at the first setting,
The engine ran for 3 h at the second setting. 
B)  The engine ran for 3 h at the first setting,
The engine ran for 7 h at the second setting. 
C)  The engine ran for 7.5 h at the first setting,
The engine ran for 2.5 h at the second setting. 
D)  The engine ran for 4 h at the first setting,
The engine ran for 6 h at the second setting. 
E)  The engine ran for 6 h at the first setting,
The engine ran for 4 h at the second setting. 
A)  The engine ran for 7 h at the first setting,
The engine ran for 3 h at the second setting. 
B)  The engine ran for 3 h at the first setting,
The engine ran for 7 h at the second setting. 
C)  The engine ran for 7.5 h at the first setting,
The engine ran for 2.5 h at the second setting. 
D)  The engine ran for 4 h at the first setting,
The engine ran for 6 h at the second setting. 
E)  The engine ran for 6 h at the first setting,
The engine ran for 4 h at the second setting.

Question 13

In testing a hybrid engine, various mixtures of gasoline and methanol are being tried. How much of a 95%-gasoline mixture and how much of an 80%-gasoline mixture would be needed to make 600 gal of a 90%-gasoline mixture?

Accepted Answer

A)  375 gal of the 95%-gasoline mixture,
225 gal of the 80%-gasoline mixture. 
B)  190 gal of the 95%-gasoline mixture,
210 gal of the 80%-gasoline mixture. 
C)  420 mL of the 95% solution,
180 mL of the 80% solution. 
D)  200 gal of the 95%-gasoline mixture,
400 gal of the 80%-gasoline mixture. 
E)  400 gal of the 95%-gasoline mixture,
200 gal of the 80%-gasoline mixture. 
A)  375 gal of the 95%-gasoline mixture,
225 gal of the 80%-gasoline mixture. 
B)  190 gal of the 95%-gasoline mixture,
210 gal of the 80%-gasoline mixture. 
C)  420 mL of the 95% solution,
180 mL of the 80% solution. 
D)  200 gal of the 95%-gasoline mixture,
400 gal of the 80%-gasoline mixture. 
E)  400 gal of the 95%-gasoline mixture,
200 gal of the 80%-gasoline mixture.

Question 14

A wire 180 cm long is to be cut into two pieces so that one piece is five times as long as the other. Find the length of each piece.

Accepted Answer

A)  The length of the first piece is 30 cm,
The length of the second piece is 150 cm. 
B)  The length of the first piece is 90 cm,
The length of the second piece is 90 cm. 
C)  The length of the first piece is 32 cm,
The length of the second piece is 148 cm. 
D)  The length of the first piece is 35 cm,
The length of the second piece is 145 cm. 
E)  The length of the first piece is 50.5 cm,
The length of the second piece is 129.5 cm. 
A)  The length of the first piece is 30 cm,
The length of the second piece is 150 cm. 
B)  The length of the first piece is 90 cm,
The length of the second piece is 90 cm. 
C)  The length of the first piece is 32 cm,
The length of the second piece is 148 cm. 
D)  The length of the first piece is 35 cm,
The length of the second piece is 145 cm. 
E)  The length of the first piece is 50.5 cm,
The length of the second piece is 129.5 cm.

Question 15

Solve the pair of linear equations by addition. $\begin{array} { l } 
3 x - 2 y = 20 \
3 x + 4 y = 30
\end{array}$

Accepted Answer

The answer of Solve the pair of linear equations by...

Question 16

A dairyman wants to make 237 lb of 14%-butterfat cream. How many pounds of 40%-butterfat cream and how many pounds of 1%-butterfat milk must he mix?

Accepted Answer

A)  82 lb of 40%-butterfat cream,
155 lb of 1%-butterfat milk. 
B)  81 lb of 40%-butterfat cream,
156 lb of 1%-butterfat milk. 
C)  74 lb of 40%-butterfat cream,
163 lb of 1%-butterfat milk. 
D)  158 lb of 40%-butterfat cream,
79 lb of 1%-butterfat milk. 
E)  79 lb of 40%-butterfat cream,
158 lb of 1%-butterfat milk. 
A)  82 lb of 40%-butterfat cream,
155 lb of 1%-butterfat milk. 
B)  81 lb of 40%-butterfat cream,
156 lb of 1%-butterfat milk. 
C)  74 lb of 40%-butterfat cream,
163 lb of 1%-butterfat milk. 
D)  158 lb of 40%-butterfat cream,
79 lb of 1%-butterfat milk. 
E)  79 lb of 40%-butterfat cream,
158 lb of 1%-butterfat milk.

Question 17

Solve the pair of linear equations by addition. $\begin{array} { l } 
5 x + 2 y = 0 \
2 x - 5 y = 29
\end{array}$

Accepted Answer

The answer of Solve the pair of linear equations by...

Question 18

Solve, using the substitution method, and check. $\begin{array} { c } 
8 x - y = 10 \
y = - x
\end{array}$ Enter your answer as an ordered pair in the form (x, y). Express your answer as fractions.

Accepted Answer

The answer of Solve, using the substitution method, and check....

Question 19

A plumbing contractor decides to field-test two new pumps. One is rated at 100 gal/h and the other at 130 gal/h. She tests one, then the other. Over a period of 11 h, she pumps a total of 1,190 gal. Assume both pumps operated as rated. How long is each in operation?

Accepted Answer

A)  The first pump is in operation 8 h,
The second pump is in operation 4 h. 
B)  The first pump is in operation 3 h,
The second pump is in operation 8 h. 
C)  The first pump is in operation 16 h,
The second pump is in operation 3 h. 
D)  The first pump is in operation 8 h,
The second pump is in operation 3 h. 
E)  The first pump is in operation 8 h,
The second pump is in operation 2 h. 
A)  The first pump is in operation 8 h,
The second pump is in operation 4 h. 
B)  The first pump is in operation 3 h,
The second pump is in operation 8 h. 
C)  The first pump is in operation 16 h,
The second pump is in operation 3 h. 
D)  The first pump is in operation 8 h,
The second pump is in operation 3 h. 
E)  The first pump is in operation 8 h,
The second pump is in operation 2 h.

Question 20

Draw the graphs of the pair of linear equations. $\begin{array} { l } 
3 x + y = - 14 \
2 x + 5 y = 8
\end{array}$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Solve, using the substitution method, and check. 9x-y=11 y=-x

How much of a 2% solution and a 12% solution would you use to make 500mL of a10%-electrolyte solution? Amount of 2% solution: mL Amount of 12% solution: mL

Solve, using the substitution method, and check. 5x-4y=3 2x+y=22

Solve the pair of linear equations by addition. x-y=1 2x-2y=7 If there is one common solution, select the correct ordered pair of the point of intersection. If there is no one common solution, select either parallel or coincide for the correct answer.

Draw the graphs of the pair of linear equations. 7x-6y=13 4x+3y=2

A hospital has a 2%-saline solution and an 8%-saline solution on hand. How much of each should be used to prepare 3,600 cm ³ of 7%-saline solution? Amount of 2%-saline solution: cm ³ Amount of 8%-saline solution: cm ³

Solve, using the substitution method, and check. 3x+y=6 y=2x

Solve the pair of linear equations by addition. 4x+13y=52 8x+15y=60

Draw the graphs of the pair of linear equations. 3x+2y=20 2x-3y=22

When three identical compressors and five air-handling units are in operation, a total of 39 A are needed. When only two compressors and four air-handlers units are being used, the current requirements is 28.8 A. How many amps are required by each compressors and by each fan?

A dairyman wants to make 252 lb of 15%-butterfat cream. How many pounds of 30%-butterfat cream and how many pounds of 3%-butterfat milk must he mix? pounds of 30%-butterfat cream pounds of 3%-butterfat milk

An engine on a test stand was operated at two fixed settings, each with an appropriate load. At the first setting, fuel consumption was 1 gal every 15 min. At the second setting, it was 1 gal every 20 min. The test took 10 h, and 37 gal of fuel were used. How long did the engine run at each setting?

In testing a hybrid engine, various mixtures of gasoline and methanol are being tried. How much of a 95%-gasoline mixture and how much of an 80%-gasoline mixture would be needed to make 600 gal of a 90%-gasoline mixture?

A wire 180 cm long is to be cut into two pieces so that one piece is five times as long as the other. Find the length of each piece.

Solve the pair of linear equations by addition. 3x-2y=20 3x+4y=30

A dairyman wants to make 237 lb of 14%-butterfat cream. How many pounds of 40%-butterfat cream and how many pounds of 1%-butterfat milk must he mix?

Solve the pair of linear equations by addition. 5x+2y=0 2x-5y=29

Solve, using the substitution method, and check. 8x-y=10 y=-x Enter your answer as an ordered pair in the form (x, y). Express your answer as fractions.

A plumbing contractor decides to field-test two new pumps. One is rated at 100 gal/h and the other at 130 gal/h. She tests one, then the other. Over a period of 11 h, she pumps a total of 1,190 gal. Assume both pumps operated as rated. How long is each in operation?

Draw the graphs of the pair of linear equations. 3x+y=-14 2x+5y=8

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Exam 9: Systems of Linear Equations

Solve, using the substitution method, and check. 9x-y=11 y=-x

How much of a 2% solution and a 12% solution would you use to make 500mL of a10%-electrolyte solution? Amount of 2% solution: __________ mL Amount of 12% solution: __________ mL

Solve, using the substitution method, and check. 5x-4y=3 2x+y=22

Solve the pair of linear equations by addition. x-y=1 2x-2y=7 If there is one common solution, select the correct ordered pair of the point of intersection. If there is no one common solution, select either parallel or coincide for the correct answer.

Draw the graphs of the pair of linear equations. 7x-6y=13 4x+3y=2

A hospital has a 2%-saline solution and an 8%-saline solution on hand. How much of each should be used to prepare 3,600 cm 3 of 7%-saline solution? Amount of 2%-saline solution: __________ cm 3 Amount of 8%-saline solution: __________ cm 3

Solve, using the substitution method, and check. 3x+y=6 y=2x

Solve the pair of linear equations by addition. 4x+13y=52 8x+15y=60

Draw the graphs of the pair of linear equations. 3x+2y=20 2x-3y=22

When three identical compressors and five air-handling units are in operation, a total of 39 A are needed. When only two compressors and four air-handlers units are being used, the current requirements is 28.8 A. How many amps are required by each compressors and by each fan?

A dairyman wants to make 252 lb of 15%-butterfat cream. How many pounds of 30%-butterfat cream and how many pounds of 3%-butterfat milk must he mix? __________ pounds of 30%-butterfat cream __________ pounds of 3%-butterfat milk

In testing a hybrid engine, various mixtures of gasoline and methanol are being tried. How much of a 95%-gasoline mixture and how much of an 80%-gasoline mixture would be needed to make 600 gal of a 90%-gasoline mixture?

A wire 180 cm long is to be cut into two pieces so that one piece is five times as long as the other. Find the length of each piece.

Solve the pair of linear equations by addition. 3x-2y=20 3x+4y=30

A dairyman wants to make 237 lb of 14%-butterfat cream. How many pounds of 40%-butterfat cream and how many pounds of 1%-butterfat milk must he mix?

Solve the pair of linear equations by addition. 5x+2y=0 2x-5y=29

Solve, using the substitution method, and check. 8x-y=10 y=-x Enter your answer as an ordered pair in the form (x, y). Express your answer as fractions.

A plumbing contractor decides to field-test two new pumps. One is rated at 100 gal/h and the other at 130 gal/h. She tests one, then the other. Over a period of 11 h, she pumps a total of 1,190 gal. Assume both pumps operated as rated. How long is each in operation?

Draw the graphs of the pair of linear equations. 3x+y=-14 2x+5y=8

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

How much of a 2% solution and a 12% solution would you use to make 500mL of a10%-electrolyte solution? Amount of 2% solution: mL Amount of 12% solution: mL

A hospital has a 2%-saline solution and an 8%-saline solution on hand. How much of each should be used to prepare 3,600 cm ³ of 7%-saline solution? Amount of 2%-saline solution: cm ³ Amount of 8%-saline solution: cm ³

A dairyman wants to make 252 lb of 15%-butterfat cream. How many pounds of 30%-butterfat cream and how many pounds of 3%-butterfat milk must he mix? pounds of 30%-butterfat cream pounds of 3%-butterfat milk