Question 1

Solve, using the substitution method, and check. $\begin{array} { l } 
8 y - 2 x = - 78 \
x = - 25 - 4 y
\end{array}$

Accepted Answer

A)  (12, -13) 
B)  (7, -8) 
C)  (6, -9) 
D)  (7, 8) 
E)  (4, -11) 
A)  (12, -13) 
B)  (7, -8) 
C)  (6, -9) 
D)  (7, 8) 
E)  (4, -11)

Question 2

A duct from a furnace forks into two ducts. The air coming into the two ducts two ducts was 2,800 cubic feet per minute. If the one duct took 400 cubic feet per minute more than the other duct, what was the flow in cubic feet per minute (cu ft/min) in each duct?

Accepted Answer

A)  The flow is 1,100 cu ft/min in the first duct,
The flow is 1,900 cu ft/min in the second duct. 
B)  The flow is 1,900 cu ft/min in the first duct,
The flow is 900 cu ft/min in the second duct. 
C)  The flow is 1,600 cu ft/min in the first duct,
The flow is 1,200 cu ft/min in the second duct. 
D)  The flow is 1,700 cu ft/min in the first duct,
The flow is 1,100 cu ft/min in the second duct. 
E)  The flow is 1,550 cu ft/min in the first duct,
The flow is 1,250 cu ft/min in the second duct. 
A)  The flow is 1,100 cu ft/min in the first duct,
The flow is 1,900 cu ft/min in the second duct. 
B)  The flow is 1,900 cu ft/min in the first duct,
The flow is 900 cu ft/min in the second duct. 
C)  The flow is 1,600 cu ft/min in the first duct,
The flow is 1,200 cu ft/min in the second duct. 
D)  The flow is 1,700 cu ft/min in the first duct,
The flow is 1,100 cu ft/min in the second duct. 
E)  The flow is 1,550 cu ft/min in the first duct,
The flow is 1,250 cu ft/min in the second duct.

Question 3

Solve, using the substitution method, and check. $\begin{array} { c } 
3 x + 4 y = - 16 \
x = 2 y
\end{array}$ Enter your answer as an ordered pair in the form (x, y). Express your answer to one decimal place, if necessary.

Accepted Answer

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

Question 4

A contractor finds a bill for $1,210 for 520 ceiling tiles. She knows that there were two types of tiles used; one selling at $2.00 a tile and the other at $3.00 a tile. How many of each type were used?

Accepted Answer

A)  170 tiles of the first type were used,
350 tiles of the second were used. 
B)  340 tiles of the first type were used,
130 tiles of the second were used. 
C)  350 tiles of the first type were used,
170 tiles of the second were used. 
D)  350 tiles of the first type were used,
120 tiles of the second were used. 
E)  350 tiles of the first type were used,
140 tiles of the second were used. 
A)  170 tiles of the first type were used,
350 tiles of the second were used. 
B)  340 tiles of the first type were used,
130 tiles of the second were used. 
C)  350 tiles of the first type were used,
170 tiles of the second were used. 
D)  350 tiles of the first type were used,
120 tiles of the second were used. 
E)  350 tiles of the first type were used,
140 tiles of the second were used.

Question 5

Draw the graphs of the pair of linear equations. Find the point of intersection. If the lines do not intersect, tell whether the lines are parallel or coincide. $\begin{array} { c } 
3 x + 2 y = 38 \
x = 8
\end{array}$

Accepted Answer

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

Question 6

An experienced welder makes $\frac { 5 } { 2 }$ as many welds as a beginning welder. If an experienced welder and a beginning welder complete 210 welds, how many were from the experienced welder and how many from the beginning welder?

Accepted Answer

A)  A beginning welder makes 150,
An experienced welder makes 60. 
B)  A beginning welder makes 90,
An experienced welder makes 120. 
C)  A beginning welder makes 60,
An experienced welder makes 150. 
D)  A beginning welder makes 50,
An experienced welder makes 160. 
E)  A beginning welder makes 70,
An experienced welder makes 140. 
A)  A beginning welder makes 150,
An experienced welder makes 60. 
B)  A beginning welder makes 90,
An experienced welder makes 120. 
C)  A beginning welder makes 60,
An experienced welder makes 150. 
D)  A beginning welder makes 50,
An experienced welder makes 160. 
E)  A beginning welder makes 70,
An experienced welder makes 140.

Question 7

Solve, using the substitution method, and check. $\begin{array} { l } 
3 x + y = 31 \
4 x - y = 25
\end{array}$

Accepted Answer

A)  (3, 12) 
B)  (16, 7) 
C)  (9, 8) 
D)  (8, 7) 
E)  (11, 10) 
A)  (3, 12) 
B)  (16, 7) 
C)  (9, 8) 
D)  (8, 7) 
E)  (11, 10)

Question 8

A supply duct is to run the perimeter of a building having a length four times the width. The total duct length is 730 ft. What are the dimensions of the building?

Accepted Answer

A)  The width is 63 ft,
The length is 302 ft. 
B)  The width is 73 ft,
The length is 292 ft. 
C)  The width is 83 ft,
The length is 282 ft. 
D)  The width is 292 ft,
The length is 73 ft. 
E)  The width is 43 ft,
The length is 322 ft. 
A)  The width is 63 ft,
The length is 302 ft. 
B)  The width is 73 ft,
The length is 292 ft. 
C)  The width is 83 ft,
The length is 282 ft. 
D)  The width is 292 ft,
The length is 73 ft. 
E)  The width is 43 ft,
The length is 322 ft.

Question 9

Solve the pair of linear equations by addition. $\begin{array} { l } 
12 x + 16 y = 72 \
4 x - 12 y = 128
\end{array}$ 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)  $( 12,7 )$ 
B)  $( 14 , - 6 )$ 
C)  $( - 12,6 )$ 
D)  The lines are parallel. 
E)  The lines coincide. 
A)  $( 12,7 )$ 
B)  $( 14 , - 6 )$ 
C)  $( - 12,6 )$ 
D)  The lines are parallel. 
E)  The lines coincide.

Question 10

Solve the pair of linear equations by addition. $\begin{array} { c } 
2 x + 3 y = - 6 \
2 x - y = 18
\end{array}$ 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)  $( 6 , - 4 )$ 
B)  $( 6 , - 6 )$ 
C)  $( 5,6 )$ 
D)  The lines are parallel. 
E)  The lines coincide. 
A)  $( 6 , - 4 )$ 
B)  $( 6 , - 6 )$ 
C)  $( 5,6 )$ 
D)  The lines are parallel. 
E)  The lines coincide.

Question 11

Solve, using the substitution method, and check. $\begin{array} { c } 
3 x + 8 y = 80 \
y = 2 x - 9
\end{array}$

Accepted Answer

A)  (13, 12) 
B)  (8, -7) 
C)  (11, 4) 
D)  (8, 7) 
E)  (7, 6) 
A)  (13, 12) 
B)  (8, -7) 
C)  (11, 4) 
D)  (8, 7) 
E)  (7, 6)

Question 12

Solve the pair of linear equations by addition. $\begin{array} { l } 
2 x - 5 y = 22 \
5 x + 9 y = 12
\end{array}$

Accepted Answer

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

Question 13

Solve, using the substitution method, and check. $\begin{array} { c } 
4 x + 5 y = 70 \
4 x = - 15 y
\end{array}$

Accepted Answer

A)  (25.25, -6) 
B)  (26.25, -7) 
C)  (8, -8) 
D)  (31.25, -2) 
E)  (23.25, -10) 
A)  (25.25, -6) 
B)  (26.25, -7) 
C)  (8, -8) 
D)  (31.25, -2) 
E)  (23.25, -10)

Question 14

Draw the graphs of the pair of linear equations. Find the point of intersection. If the lines do not intersect, tell whether the lines are parallel or coincide. $\begin{aligned}
y & = - x \
y - x & = 18
\end{aligned}$

Accepted Answer

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

Question 15

Solve, using the substitution method, and check. $\begin{array} { c } 
4 x + 5 y = 57 \
4 x = - 24 y
\end{array}$ Enter your answer as an ordered pair in the form (x, y).

Accepted Answer

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

Question 16

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

Accepted Answer

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

Question 17

Solve the pair of linear equations by addition. $\begin{array} { l } 
6 x + 9 y = 6 \
9 x - 6 y = 9
\end{array}$ 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)  $( 1,0 )$ 
B)  $( 7,5 )$ 
C)  $( 0,5 )$ 
D)  The lines are parallel. 
E)  The lines coincide. 
A)  $( 1,0 )$ 
B)  $( 7,5 )$ 
C)  $( 0,5 )$ 
D)  The lines are parallel. 
E)  The lines coincide.

Question 18

Solve graphically. The sum of two resistances is $16 \Omega$ . Their difference is $2 \Omega$ . Find the two resistances. If we let $R _ { 1 }$ and $R _ { 2 }$ be the two resistances, the equations are $\begin{array} { l } 
R _ { 1 } + R _ { 2 } = 16 \
R _ { 1 } - R _ { 2 } = 2
\end{array}$

Accepted Answer

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

Question 19

Find the capacity of two trucks if 4 trips of the smaller and 6 trips of the larger make a total haul of 48 tons, and 4 trips of the larger and 5 trips of the smaller make a total haul of 39.

Accepted Answer

A)  The capacity of the larger truck is 6 tons,
The capacity of the smaller truck is 2 tons. 
B)  The capacity of the larger truck is 3 tons,
The capacity of the smaller truck is 6 tons. 
C)  The capacity of the larger truck is 6 tons,
The capacity of the smaller truck is 4 tons. 
D)  The capacity of the larger truck is 6 tons,
The capacity of the smaller truck is 3 tons. 
E)  The capacity of the larger truck is 6 tons,
The capacity of the smaller truck is 5 tons. 
A)  The capacity of the larger truck is 6 tons,
The capacity of the smaller truck is 2 tons. 
B)  The capacity of the larger truck is 3 tons,
The capacity of the smaller truck is 6 tons. 
C)  The capacity of the larger truck is 6 tons,
The capacity of the smaller truck is 4 tons. 
D)  The capacity of the larger truck is 6 tons,
The capacity of the smaller truck is 3 tons. 
E)  The capacity of the larger truck is 6 tons,
The capacity of the smaller truck is 5 tons.

Question 20

Draw the graphs of the pair of linear equations. $\begin{array} { l } 
4 x + 3 y = 6 \
5 x - y = 36
\end{array}$

Accepted Answer

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

Solve, using the substitution method, and check. 8y-2x=-78 x=-25-4y

A duct from a furnace forks into two ducts. The air coming into the two ducts two ducts was 2,800 cubic feet per minute. If the one duct took 400 cubic feet per minute more than the other duct, what was the flow in cubic feet per minute (cu ft/min) in each duct?

Solve, using the substitution method, and check. 3x+4y=-16 x=2y Enter your answer as an ordered pair in the form (x, y). Express your answer to one decimal place, if necessary.

A contractor finds a bill for $1,210 for 520 ceiling tiles. She knows that there were two types of tiles used; one selling at $2.00 a tile and the other at $3.00 a tile. How many of each type were used?

Draw the graphs of the pair of linear equations. Find the point of intersection. If the lines do not intersect, tell whether the lines are parallel or coincide. 3x+2y=38 x=8

An experienced welder makes $\frac { 5 } { 2 }$ as many welds as a beginning welder. If an experienced welder and a beginning welder complete 210 welds, how many were from the experienced welder and how many from the beginning welder?

Solve, using the substitution method, and check. 3x+y=31 4x-y=25

A supply duct is to run the perimeter of a building having a length four times the width. The total duct length is 730 ft. What are the dimensions of the building?

Solve the pair of linear equations by addition. 12x+16y=72 4x-12y=128 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. 2x+3y=-6 2x-y=18 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, using the substitution method, and check. 3x+8y=80 y=2x-9

Solve the pair of linear equations by addition. 2x-5y=22 5x+9y=12

Solve, using the substitution method, and check. 4x+5y=70 4x=-15y

Draw the graphs of the pair of linear equations. Find the point of intersection. If the lines do not intersect, tell whether the lines are parallel or coincide. y =-x y-x =18

Solve, using the substitution method, and check. 4x+5y=57 4x=-24y Enter your answer as an ordered pair in the form (x, y).

Draw the graphs of the pair of linear equations. y=-7 y=x-2

Solve the pair of linear equations by addition. 6x+9y=6 9x-6y=9 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 graphically. The sum of two resistances is $16 \Omega$ . Their difference is $2 \Omega$ . Find the two resistances. If we let $R _ { 1 }$ and $R _ { 2 }$ be the two resistances, the equations are +=16 -=2

Find the capacity of two trucks if 4 trips of the smaller and 6 trips of the larger make a total haul of 48 tons, and 4 trips of the larger and 5 trips of the smaller make a total haul of 39.

Draw the graphs of the pair of linear equations. 4x+3y=6 5x-y=36

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. 8y-2x=-78 x=-25-4y

A duct from a furnace forks into two ducts. The air coming into the two ducts two ducts was 2,800 cubic feet per minute. If the one duct took 400 cubic feet per minute more than the other duct, what was the flow in cubic feet per minute (cu ft/min) in each duct?

Solve, using the substitution method, and check. 3x+4y=-16 x=2y Enter your answer as an ordered pair in the form (x, y). Express your answer to one decimal place, if necessary.

A contractor finds a bill for $1,210 for 520 ceiling tiles. She knows that there were two types of tiles used; one selling at $2.00 a tile and the other at $3.00 a tile. How many of each type were used?

Draw the graphs of the pair of linear equations. Find the point of intersection. If the lines do not intersect, tell whether the lines are parallel or coincide. 3x+2y=38 x=8

An experienced welder makes 52\frac { 5 } { 2 }25​ as many welds as a beginning welder. If an experienced welder and a beginning welder complete 210 welds, how many were from the experienced welder and how many from the beginning welder?

Solve, using the substitution method, and check. 3x+y=31 4x-y=25

A supply duct is to run the perimeter of a building having a length four times the width. The total duct length is 730 ft. What are the dimensions of the building?

Solve the pair of linear equations by addition. 12x+16y=72 4x-12y=128 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. 2x+3y=-6 2x-y=18 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, using the substitution method, and check. 3x+8y=80 y=2x-9

Solve the pair of linear equations by addition. 2x-5y=22 5x+9y=12

Solve, using the substitution method, and check. 4x+5y=70 4x=-15y

Draw the graphs of the pair of linear equations. Find the point of intersection. If the lines do not intersect, tell whether the lines are parallel or coincide. y =-x y-x =18

Solve, using the substitution method, and check. 4x+5y=57 4x=-24y Enter your answer as an ordered pair in the form (x, y).

Draw the graphs of the pair of linear equations. y=-7 y=x-2

Solve the pair of linear equations by addition. 6x+9y=6 9x-6y=9 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 graphically. The sum of two resistances is 16Ω16 \Omega16Ω . Their difference is 2Ω2 \Omega2Ω . Find the two resistances. If we let R1R _ { 1 }R1​ and R2R _ { 2 }R2​ be the two resistances, the equations are +=16 -=2

Find the capacity of two trucks if 4 trips of the smaller and 6 trips of the larger make a total haul of 48 tons, and 4 trips of the larger and 5 trips of the smaller make a total haul of 39.

Draw the graphs of the pair of linear equations. 4x+3y=6 5x-y=36

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

An experienced welder makes $\frac { 5 } { 2 }$ as many welds as a beginning welder. If an experienced welder and a beginning welder complete 210 welds, how many were from the experienced welder and how many from the beginning welder?

Solve graphically. The sum of two resistances is $16 \Omega$ . Their difference is $2 \Omega$ . Find the two resistances. If we let $R _ { 1 }$ and $R _ { 2 }$ be the two resistances, the equations are +=16 -=2