Question 1

A hospital has a 4%-saline solution and an 12%-saline solution on hand. How much of each should be used to prepare 640 cm 3 of 7%-saline solution?

Accepted Answer

A)  240 cm 3 of a 12%-saline solution,
400 cm 3 of a 4%-saline solution. 
B)  220 cm 3 of a 12%-saline solution,
420 cm 3 of a 4%-saline solution. 
C)  400 cm 3 of a 12%-saline solution,
240 cm 3 of a 4%-saline solution. 
D)  340 cm 3 of a 12%-saline solution,
300 cm 3 of a 4%-saline solution. 
E)  440 cm 3 of a 12%-saline solution,
200 cm 3 of a 4%-saline solution. 
A)  240 cm 3 of a 12%-saline solution,
400 cm 3 of a 4%-saline solution. 
B)  220 cm 3 of a 12%-saline solution,
420 cm 3 of a 4%-saline solution. 
C)  400 cm 3 of a 12%-saline solution,
240 cm 3 of a 4%-saline solution. 
D)  340 cm 3 of a 12%-saline solution,
300 cm 3 of a 4%-saline solution. 
E)  440 cm 3 of a 12%-saline solution,
200 cm 3 of a 4%-saline solution. A

Question 2

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

Accepted Answer

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

Question 3

Solve the pair of linear equations by addition. $\begin{array} { l } 
5 x - 2 y = - 10 \
2 x + 4 y = - 4
\end{array}$ 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)  $( 0 , - 1 )$ 
B)  $( - 6 , - 4 )$ 
C)  $( - 2,0 )$ 
D)  The lines are parallel. 
E)  The lines coincide. 
A)  $( 0 , - 1 )$ 
B)  $( - 6 , - 4 )$ 
C)  $( - 2,0 )$ 
D)  The lines are parallel. 
E)  The lines coincide. C

Question 4

A farmer has a 10%-solution and a 4%-solution of pesticide. How much of each must she mix to have 336 gal of an 5% solution for her sprayer?

Accepted Answer

A)  280 gal of 10% solution,
56 gal of 4% solution. 
B)  68 gal of 10% solution,
268 gal of 4% solution. 
C)  51 gal of 10% solution,
285 gal of 4% solution. 
D)  66 gal of 10% solution,
270 gal of 4% solution. 
E)  56 gal of 10% solution,
280 gal of 4% solution. 
A)  280 gal of 10% solution,
56 gal of 4% solution. 
B)  68 gal of 10% solution,
268 gal of 4% solution. 
C)  51 gal of 10% solution,
285 gal of 4% solution. 
D)  66 gal of 10% solution,
270 gal of 4% solution. 
E)  56 gal of 10% solution,
280 gal of 4% solution.

Question 5

Draw the graphs of the pair of linear equations. $\begin{array} { l } 
2 x + 8 y = 29 \
4 x + 4 y = 7
\end{array}$

Accepted Answer

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

Question 6

Solve, using the substitution method, and check. $\begin{array} { c } 
2 x + y = 11 \
y = 3 x
\end{array}$ 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 7

Solve the pair of linear equations by addition. $\begin{array} { l } 
- 3 x + 2 y = 8 \
- 4 x - 2 y = 6
\end{array}$ 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)  $( - 2,1 )$ 
B)  $( 3,1 )$ 
C)  $( 2 , - 1 )$ 
D)  The lines are parallel. 
E)  The lines coincide. 
A)  $( - 2,1 )$ 
B)  $( 3,1 )$ 
C)  $( 2 , - 1 )$ 
D)  The lines are parallel. 
E)  The lines coincide.

Question 8

Solve the pair of linear equations by addition. $\begin{array} { l } 
3 x - 2 y = 18 \
3 x + 4 y = 26
\end{array}$ 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)  $\left( 6 \frac { 8 } { 9 } , 1 \frac { 1 } { 3 } \right)$ 
B)  $\left( 4 , - 1 \frac { 1 } { 3 } \right)$ 
C)  $\left( 3 \frac { 8 } { 9 } , 4 \frac { 1 } { 3 } \right)$ 
D)  The lines are parallel. 
E)  The lines coincide. 
A)  $\left( 6 \frac { 8 } { 9 } , 1 \frac { 1 } { 3 } \right)$ 
B)  $\left( 4 , - 1 \frac { 1 } { 3 } \right)$ 
C)  $\left( 3 \frac { 8 } { 9 } , 4 \frac { 1 } { 3 } \right)$ 
D)  The lines are parallel. 
E)  The lines coincide.

Question 9

Two rental airplanes fly a total of 53 h in one month. One plane rents for $50/h and the other rents for $60/h. The total income of the two planes was $2,900. Find the number of hours each plane flew for the month.

Accepted Answer

A)  The first plane flew 29.5 h,
The second plane flew 23.5 h. 
B)  The first plane flew 25 h,
The second plane flew 28 h. 
C)  The first plane flew 31 h,
The second plane flew 22 h. 
D)  The first plane flew 28 h,
The second plane flew 25 h. 
E)  The first plane flew 29 h,
The second plane flew 24 h. 
A)  The first plane flew 29.5 h,
The second plane flew 23.5 h. 
B)  The first plane flew 25 h,
The second plane flew 28 h. 
C)  The first plane flew 31 h,
The second plane flew 22 h. 
D)  The first plane flew 28 h,
The second plane flew 25 h. 
E)  The first plane flew 29 h,
The second plane flew 24 h.

Question 10

Solve the pair of linear equations by addition. $\begin{array} { r } 
x + y = 13 \
x - y = 3
\end{array}$ 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)  $( 8,5 )$ 
B)  $( 9,4 )$ 
C)  $( 9 , - 5 )$ 
D)  The lines are parallel. 
E)  The lines coincide. 
A)  $( 8,5 )$ 
B)  $( 9,4 )$ 
C)  $( 9 , - 5 )$ 
D)  The lines are parallel. 
E)  The lines coincide.

Question 11

Solve the pair of linear equations by addition. $\begin{array} { l } 
7 x - 4 y = 16 \
3 x - 2 y = 8
\end{array}$ 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)  $( 9 , - 4 )$ 
B)  $( 0,5 )$ 
C)  $( 0 , - 4 )$ 
D)  The lines are parallel. 
E)  The lines coincide. 
A)  $( 9 , - 4 )$ 
B)  $( 0,5 )$ 
C)  $( 0 , - 4 )$ 
D)  The lines are parallel. 
E)  The lines coincide.

Question 12

Eleven batteries are hooked in series to provide a 54-V power source. Some of the batteries are 9 V and some are 1.5 V. How many of each type are used?

Accepted Answer

A)  5 batteries of 1.5-V are used,
8 batteries of 9-V are used. 
B)  6 batteries of 1.5-V are used,
5 batteries of 9-V are used. 
C)  8 batteries of 9-V are used,
8 batteries of 1.5-V are used. 
D)  4 batteries of 9-V are used,
7 batteries of 1.5-V are used. 
E)  5 batteries of 9-V are used,
6 batteries of 1.5-V are used. 
A)  5 batteries of 1.5-V are used,
8 batteries of 9-V are used. 
B)  6 batteries of 1.5-V are used,
5 batteries of 9-V are used. 
C)  8 batteries of 9-V are used,
8 batteries of 1.5-V are used. 
D)  4 batteries of 9-V are used,
7 batteries of 1.5-V are used. 
E)  5 batteries of 9-V are used,
6 batteries of 1.5-V are used.

Question 13

Solve, using the substitution method, and check. $\begin{array} { l } 
4 x - 5 y = 7 \
x = 18 - 2 \mathrm { y }
\end{array}$

Accepted Answer

A)  (13, 10) 
B)  (8, 5) 
C)  (11, 2) 
D)  (-8, 5) 
E)  (7, 6) 
A)  (13, 10) 
B)  (8, 5) 
C)  (11, 2) 
D)  (-8, 5) 
E)  (7, 6)

Question 14

Draw the graphs of the pair of linear equations. $\begin{array} { c } 
2 x - y = 23 \
- 2 x + 3 y = - 41
\end{array}$

Accepted Answer

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

Question 15

Solve, using the substitution method, and check. $\begin{array} { l } 
3 x + 4 y = 25 \
- 5 x + 2 y = - 7
\end{array}$

Accepted Answer

A)  (6, 1) 
B)  (-3, 4) 
C)  (3, 4) 
D)  (2, 5) 
E)  (8, 9) 
A)  (6, 1) 
B)  (-3, 4) 
C)  (3, 4) 
D)  (2, 5) 
E)  (8, 9)

Question 16

Solve, using the substitution method, and check. $\begin{array} { c } 
2 x + 4 y = - 14 \
x = 3 y
\end{array}$

Accepted Answer

A)  (8.4, 2.8) 
B)  (-4.2, -1.4) 
C)  (-4.8, -1.6) 
D)  (-8.4, -1.4) 
E)  (2.4, 0.8) 
A)  (8.4, 2.8) 
B)  (-4.2, -1.4) 
C)  (-4.8, -1.6) 
D)  (-8.4, -1.4) 
E)  (2.4, 0.8)

Question 17

Solve, using the substitution method, and check. $\begin{array} { c } 
6 x - 8 y = 299 \
x = - \frac { y } { 5 }
\end{array}$

Accepted Answer

A)  (9.5, -35.5) 
B)  (4, -20) 
C)  (7.5, -37.5) 
D)  (6.5, -32.5) 
E)  (6.5, 32.5) 
A)  (9.5, -35.5) 
B)  (4, -20) 
C)  (7.5, -37.5) 
D)  (6.5, -32.5) 
E)  (6.5, 32.5)

Question 18

Solve, using the substitution method, and check. $\begin{array} { c } 
2 y + 7 x = 68 \
y = 3 x - 18
\end{array}$

Accepted Answer

A)  (-8, -6) 
B)  (8, 6) 
C)  (13, 1) 
D)  (9, 5) 
E)  (11, 3) 
A)  (-8, -6) 
B)  (8, 6) 
C)  (13, 1) 
D)  (9, 5) 
E)  (11, 3)

Question 19

A sporting goods store carries two types of snorkels. One sells for $24.75 and the other for $25.25. Records for July show that 39 snorkels were sold, for $972.25. How many of each type were sold?
Number of $24.75 snorkels sold: __________
Number of $25.25 snorkels sold: __________

Accepted Answer

The answer of A sporting goods store carries two types...

Question 20

Solve the pair of linear equations by addition. $\begin{array} { l } 
4 x + 2 y = 24 \
x + 7 y = - 7
\end{array}$

Accepted Answer

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

A hospital has a 4%-saline solution and an 12%-saline solution on hand. How much of each should be used to prepare 640 cm ³ of 7%-saline solution?

Draw the graphs of the pair of linear equations. y=8x y=-x+8

Solve the pair of linear equations by addition. 5x-2y=-10 2x+4y=-4 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.

A farmer has a 10%-solution and a 4%-solution of pesticide. How much of each must she mix to have 336 gal of an 5% solution for her sprayer?

Draw the graphs of the pair of linear equations. 2x+8y=29 4x+4y=7

Solve, using the substitution method, and check. 2x+y=11 y=3x Enter your answer as an ordered pair in the form (x, y). Express your answer as fractions.

Solve the pair of linear equations by addition. -3x+2y=8 -4x-2y=6 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.

Solve the pair of linear equations by addition. 3x-2y=18 3x+4y=26 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.

Two rental airplanes fly a total of 53 h in one month. One plane rents for $50/h and the other rents for $60/h. The total income of the two planes was $2,900. Find the number of hours each plane flew for the month.

Solve the pair of linear equations by addition. x+y=13 x-y=3 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.

Solve the pair of linear equations by addition. 7x-4y=16 3x-2y=8 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.

Eleven batteries are hooked in series to provide a 54-V power source. Some of the batteries are 9 V and some are 1.5 V. How many of each type are used?

Solve, using the substitution method, and check. 4x-5y=7 x=18-2

Draw the graphs of the pair of linear equations. 2x-y=23 -2x+3y=-41

Solve, using the substitution method, and check. 3x+4y=25 -5x+2y=-7

Solve, using the substitution method, and check. 2x+4y=-14 x=3y

Solve, using the substitution method, and check. 6x-8y=299 x=-

Solve, using the substitution method, and check. 2y+7x=68 y=3x-18

A sporting goods store carries two types of snorkels. One sells for $24.75 and the other for $25.25. Records for July show that 39 snorkels were sold, for $972.25. How many of each type were sold? Number of $24.75 snorkels sold: Number of $25.25 snorkels sold:

Solve the pair of linear equations by addition. 4x+2y=24 x+7y=-7

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

A hospital has a 4%-saline solution and an 12%-saline solution on hand. How much of each should be used to prepare 640 cm 3 of 7%-saline solution?

Draw the graphs of the pair of linear equations. y=8x y=-x+8

Solve the pair of linear equations by addition. 5x-2y=-10 2x+4y=-4 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.

A farmer has a 10%-solution and a 4%-solution of pesticide. How much of each must she mix to have 336 gal of an 5% solution for her sprayer?

Draw the graphs of the pair of linear equations. 2x+8y=29 4x+4y=7

Solve, using the substitution method, and check. 2x+y=11 y=3x Enter your answer as an ordered pair in the form (x, y). Express your answer as fractions.

Solve the pair of linear equations by addition. -3x+2y=8 -4x-2y=6 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.

Solve the pair of linear equations by addition. 3x-2y=18 3x+4y=26 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.

Two rental airplanes fly a total of 53 h in one month. One plane rents for $50/h and the other rents for $60/h. The total income of the two planes was $2,900. Find the number of hours each plane flew for the month.

Solve the pair of linear equations by addition. x+y=13 x-y=3 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.

Solve the pair of linear equations by addition. 7x-4y=16 3x-2y=8 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.

Eleven batteries are hooked in series to provide a 54-V power source. Some of the batteries are 9 V and some are 1.5 V. How many of each type are used?

Solve, using the substitution method, and check. 4x-5y=7 x=18-2

Draw the graphs of the pair of linear equations. 2x-y=23 -2x+3y=-41

Solve, using the substitution method, and check. 3x+4y=25 -5x+2y=-7

Solve, using the substitution method, and check. 2x+4y=-14 x=3y

Solve, using the substitution method, and check. 6x-8y=299 x=-

Solve, using the substitution method, and check. 2y+7x=68 y=3x-18

A sporting goods store carries two types of snorkels. One sells for $24.75 and the other for $25.25. Records for July show that 39 snorkels were sold, for $972.25. How many of each type were sold? Number of $24.75 snorkels sold: __________ Number of $25.25 snorkels sold: __________

Solve the pair of linear equations by addition. 4x+2y=24 x+7y=-7

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

A hospital has a 4%-saline solution and an 12%-saline solution on hand. How much of each should be used to prepare 640 cm ³ of 7%-saline solution?

A sporting goods store carries two types of snorkels. One sells for $24.75 and the other for $25.25. Records for July show that 39 snorkels were sold, for $972.25. How many of each type were sold? Number of $24.75 snorkels sold: Number of $25.25 snorkels sold: