Question 1

Solve the pair of linear equations by addition. $\begin{array} { l } 
2 x - 2 y = 3 \
3 x - 2 y = 0
\end{array}$

Accepted Answer

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

Question 2

Solve, using the substitution method, and check. $\begin{array} { c } 
2 x + 3 y = 4 \
5 x - 6 y = - 71
\end{array}$

Accepted Answer

A)  (2, -11) 
B)  (-6, 5) 
C)  (4, -3) 
D)  (7, 6) 
E)  (-7, 6) 
A)  (2, -11) 
B)  (-6, 5) 
C)  (4, -3) 
D)  (7, 6) 
E)  (-7, 6)

Question 3

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. $\begin{array} { l } 
2 x - 10 y = 25 \
3 x - 15 y = 30
\end{array}$

Accepted Answer

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

Question 4

Solve the pair of linear equations by addition. $\begin{array} { c } 
3 x - y = 5 \
2 x + y = 10
\end{array}$

Accepted Answer

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

Question 5

A rectangle length is four times as long as it is wide. Its perimeter is 450 cm. Find the length and the width of the rectangle.
Length: __________ cm
Width: __________ cm

Accepted Answer

The answer of A rectangle length is four times as long...

Question 6

Solve, using the substitution method, and check. $\begin{array} { c } 
3 x - 2 y = 44 \
y = - 4 x
\end{array}$ 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 7

Solve, using the substitution method, and check. $\begin{array} { c } 
4 x + y = 45 \
- 2 x + 5 y = 27
\end{array}$

Accepted Answer

A)  (-9, 9) 
B)  (4, 14) 
C)  (12, 6) 
D)  (10, 8) 
E)  (9, 9) 
A)  (-9, 9) 
B)  (4, 14) 
C)  (12, 6) 
D)  (10, 8) 
E)  (9, 9)

Question 8

Solve the pair of linear equations by addition. $\begin{array} { l } 
9 x + 6 y = 0 \
6 x - 3 y = 63
\end{array}$ 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)  $( 6 , - 7 )$ 
B)  $( 6 , - 9 )$ 
C)  $( 5,9 )$ 
D)  The lines are parallel. 
E)  The lines coincide. 
A)  $( 6 , - 7 )$ 
B)  $( 6 , - 9 )$ 
C)  $( 5,9 )$ 
D)  The lines are parallel. 
E)  The lines coincide.

Question 9

Solve the pair of linear equations by addition. $\begin{array} { c } 
2 x + 8 y = 8 \
4 x + 16 y = 5
\end{array}$ 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)  $( 0,2 )$ 
B)  $( 9,0 )$ 
C)  $( 6,2 )$ 
D)  The lines are parallel. 
E)  The lines coincide. 
A)  $( 0,2 )$ 
B)  $( 9,0 )$ 
C)  $( 6,2 )$ 
D)  The lines are parallel. 
E)  The lines coincide.

Question 10

Solve, using the substitution method, and check. $\begin{array} { l } 
x + 6 y = - 26 \
5 x - 8 y = - 16
\end{array}$

Accepted Answer

A)  (-8, -3) 
B)  (13, 8) 
C)  (5, 6) 
D)  (8, 3) 
E)  (-9, -2) 
A)  (-8, -3) 
B)  (13, 8) 
C)  (5, 6) 
D)  (8, 3) 
E)  (-9, -2)

Question 11

A sporting goods store carries two types of snorkels. One sells for $20.20 and the other for $17.65. Records for May show that 35 snorkels were sold, for $656.00. How many of each type were sold?

Accepted Answer

A)  17 snorkels of the first type were sold,
18 snorkels of the second type were sold. 
B)  20 snorkels of the first type were sold,
15 snorkels of the second type were sold. 
C)  16 snorkels of the first type were sold,
19 snorkels of the second type were sold. 
D)  18 snorkels of the first type were sold,
17 snorkels of the second type were sold. 
E)  15 snorkels of the first type were sold,
20 snorkels of the second type were sold. 
A)  17 snorkels of the first type were sold,
18 snorkels of the second type were sold. 
B)  20 snorkels of the first type were sold,
15 snorkels of the second type were sold. 
C)  16 snorkels of the first type were sold,
19 snorkels of the second type were sold. 
D)  18 snorkels of the first type were sold,
17 snorkels of the second type were sold. 
E)  15 snorkels of the first type were sold,
20 snorkels of the second type were sold.

Question 12

A supply duct is to run the perimeter of a building having a length four times the width. The total duct length is 750 ft. What are the dimensions of the building?
Length: __________ ft
Width: __________ ft

Accepted Answer

The answer of A supply duct is to run the...

Question 13

A farmer has a14%-solution and a 2%-solution of pesticide. How much of each must she mix to have 200 gal of a 8% solution for her sprayer?
Amount of 14%-solution used: __________ gal
Amount of 2%-solution used: __________ gal

Accepted Answer

The answer of A farmer has a14%-solution and a 2%-solution...

Question 14

Solve graphically. In a concrete mix, there is four times as much gravel as concrete. The total volume is $15 \mathrm { ft } ^ { 3 }$ . How much of each is in the mix if
X = the amount of concrete
Y = the amount of gravel
The equations are $\begin{array} { l } 
y = 4 x \
x + y = 15
\end{array}$

Accepted Answer

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

Question 15

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. $\begin{array} { l } 
x - y = 1 \
2 x - 3 y = - 4
\end{array}$

Accepted Answer

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

Question 16

A rectangle length is five times as long as it is wide. Its perimeter is 540 cm. Find the length and the width of the rectangle.

Accepted Answer

A)  The width is 225 cm,
The length is 43 cm. 
B)  The width is 45 cm,
The length is 225 cm. 
C)  The width is 44 cm,
The length is 226 cm. 
D)  The width is 43 cm,
The length is 227 cm. 
E)  The width is 35 cm,
The length is 235 cm. 
A)  The width is 225 cm,
The length is 43 cm. 
B)  The width is 45 cm,
The length is 225 cm. 
C)  The width is 44 cm,
The length is 226 cm. 
D)  The width is 43 cm,
The length is 227 cm. 
E)  The width is 35 cm,
The length is 235 cm.

Question 17

Solve the pair of linear equations by addition. $\begin{array} { l } 
3 x - 3 y = 4 \
4 x - 3 y = 0
\end{array}$ 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)  $\left( - 1 , - \frac { 1 } { 3 } \right)$ 
B)  $\left( - 4 , - 5 \frac { 1 } { 3 } \right)$ 
C)  $\left( - \frac { 1 } { 4 } , - 5 \frac { 1 } { 3 } \right)$ 
D)  The lines are parallel. 
E)  The lines coincide. 
A)  $\left( - 1 , - \frac { 1 } { 3 } \right)$ 
B)  $\left( - 4 , - 5 \frac { 1 } { 3 } \right)$ 
C)  $\left( - \frac { 1 } { 4 } , - 5 \frac { 1 } { 3 } \right)$ 
D)  The lines are parallel. 
E)  The lines coincide.

Question 18

Solve the pair of linear equations by addition. $\begin{array} { c } 
x + y = 11 \
x - y = 1
\end{array}$

Accepted Answer

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

Question 19

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. $\begin{array} { c } 
x - 3 y = 6 \
2 x - 6 y = 18
\end{array}$

Accepted Answer

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

Question 20

Solve the pair of linear equations by addition. $\begin{array} { l } 
4 x + 14 y = 42 \
8 x + 17 y = 51
\end{array}$ 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)  $( - 4 , - 5 )$ 
B)  $( 0 , - 3 )$ 
C)  $( 0,3 )$ 
D)  The lines are parallel. 
E)  The lines coincide. 
A)  $( - 4 , - 5 )$ 
B)  $( 0 , - 3 )$ 
C)  $( 0,3 )$ 
D)  The lines are parallel. 
E)  The lines coincide.

Solve the pair of linear equations by addition. 2x-2y=3 3x-2y=0

Solve, using the substitution method, and check. 2x+3y=4 5x-6y=-71

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. 2x-10y=25 3x-15y=30

Solve the pair of linear equations by addition. 3x-y=5 2x+y=10

A rectangle length is four times as long as it is wide. Its perimeter is 450 cm. Find the length and the width of the rectangle. Length: cm Width: cm

Solve, using the substitution method, and check. 3x-2y=44 y=-4x Enter your answer as an ordered pair in the form (x, y).

Solve, using the substitution method, and check. 4x+y=45 -2x+5y=27

Solve the pair of linear equations by addition. 9x+6y=0 6x-3y=63 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+8y=8 4x+16y=5 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. x+6y=-26 5x-8y=-16

A sporting goods store carries two types of snorkels. One sells for $20.20 and the other for $17.65. Records for May show that 35 snorkels were sold, for $656.00. How many of each type were sold?

A supply duct is to run the perimeter of a building having a length four times the width. The total duct length is 750 ft. What are the dimensions of the building? Length: ft Width: ft

A farmer has a14%-solution and a 2%-solution of pesticide. How much of each must she mix to have 200 gal of a 8% solution for her sprayer? Amount of 14%-solution used: gal Amount of 2%-solution used: gal

Solve graphically. In a concrete mix, there is four times as much gravel as concrete. The total volume is $15 \mathrm { ft } ^ { 3 }$ . How much of each is in the mix if X = the amount of concrete Y = the amount of gravel The equations are y=4x x+y=15

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. x-y=1 2x-3y=-4

A rectangle length is five times as long as it is wide. Its perimeter is 540 cm. Find the length and the width of the rectangle.

Solve the pair of linear equations by addition. 3x-3y=4 4x-3y=0 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. x+y=11 x-y=1

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. x-3y=6 2x-6y=18

Solve the pair of linear equations by addition. 4x+14y=42 8x+17y=51 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.

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 the pair of linear equations by addition. 2x-2y=3 3x-2y=0

Solve, using the substitution method, and check. 2x+3y=4 5x-6y=-71

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. 2x-10y=25 3x-15y=30

Solve the pair of linear equations by addition. 3x-y=5 2x+y=10

A rectangle length is four times as long as it is wide. Its perimeter is 450 cm. Find the length and the width of the rectangle. Length: __________ cm Width: __________ cm

Solve, using the substitution method, and check. 3x-2y=44 y=-4x Enter your answer as an ordered pair in the form (x, y).

Solve, using the substitution method, and check. 4x+y=45 -2x+5y=27

Solve the pair of linear equations by addition. 9x+6y=0 6x-3y=63 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+8y=8 4x+16y=5 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. x+6y=-26 5x-8y=-16

A sporting goods store carries two types of snorkels. One sells for $20.20 and the other for $17.65. Records for May show that 35 snorkels were sold, for $656.00. How many of each type were sold?

A supply duct is to run the perimeter of a building having a length four times the width. The total duct length is 750 ft. What are the dimensions of the building? Length: __________ ft Width: __________ ft

A farmer has a14%-solution and a 2%-solution of pesticide. How much of each must she mix to have 200 gal of a 8% solution for her sprayer? Amount of 14%-solution used: __________ gal Amount of 2%-solution used: __________ gal

Solve graphically. In a concrete mix, there is four times as much gravel as concrete. The total volume is 15ft315 \mathrm { ft } ^ { 3 }15ft3 . How much of each is in the mix if X = the amount of concrete Y = the amount of gravel The equations are y=4x x+y=15

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. x-y=1 2x-3y=-4

A rectangle length is five times as long as it is wide. Its perimeter is 540 cm. Find the length and the width of the rectangle.

Solve the pair of linear equations by addition. 3x-3y=4 4x-3y=0 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. x+y=11 x-y=1

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. x-3y=6 2x-6y=18

Solve the pair of linear equations by addition. 4x+14y=42 8x+17y=51 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.

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 rectangle length is four times as long as it is wide. Its perimeter is 450 cm. Find the length and the width of the rectangle. Length: cm Width: cm

A supply duct is to run the perimeter of a building having a length four times the width. The total duct length is 750 ft. What are the dimensions of the building? Length: ft Width: ft

A farmer has a14%-solution and a 2%-solution of pesticide. How much of each must she mix to have 200 gal of a 8% solution for her sprayer? Amount of 14%-solution used: gal Amount of 2%-solution used: gal

Solve graphically. In a concrete mix, there is four times as much gravel as concrete. The total volume is $15 \mathrm { ft } ^ { 3 }$ . How much of each is in the mix if X = the amount of concrete Y = the amount of gravel The equations are y=4x x+y=15