Question 1

Solve the system by elimination.
-X + 4y = 4
6x - 5y = -5

Accepted Answer

A)  {(0, 0)} 
B)  {(0, 1)} 
C)  {(1, 0)} 
D)  {(1, 1)} 
A)  {(0, 0)} 
B)  {(0, 1)} 
C)  {(1, 0)} 
D)  {(1, 1)}

Question 2

Choose the one alternative that best completes the statement or answers the question.
Solve by the substitution method.
-  = 5
9x = 10 + 9y

Accepted Answer

A)    
B)    
C)  {(x, y)|   = 5} 
D)    
A)    
B)    
C)  {(x, y)|   = 5} 
D)

Question 3

Solve the system by graphing.
-3x + y = 12
X + 2y = 14

Accepted Answer

A)  {( 2, 6)} 
B)  {( 2, 1)} 
C)  {( 6, -6)} 
D)  {( -2, 6)} 
A)  {( 2, 6)} 
B)  {( 2, 1)} 
C)  {( 6, -6)} 
D)  {( -2, 6)}

Question 4

Solve by the substitution method.
--0.5x - 0.5y = -0.5
0)3x - 0.2y = -0.7

Accepted Answer

A)  {( 2.3, 6.5)} 
B)  {( -1.6, 4.3)} 
C)    
D)  {( -1, 2)} 
A)  {( 2.3, 6.5)} 
B)  {( -1.6, 4.3)} 
C)    
D)  {( -1, 2)}

Question 5

Graph the solution set of the system of inequalities.
-5x + 2y > -4
X - 3 $\le$ 3y

Accepted Answer

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

Question 6

Solve the system by elimination.
--5x + 7y = 56
2x + 4y = 32

Accepted Answer

A)  {( 0, 8)} 
B)  {( 0, 9)} 
C)  {( -1, 9)} 
D)    
A)  {( 0, 8)} 
B)  {( 0, 9)} 
C)  {( -1, 9)} 
D)

Question 7

Solve the system by any method.
-  x -   y = -53
-   x+   y = 23

Accepted Answer

A)  {( -63, 35)} 
B)  {( 63, -35)} 
C)  {( -63, -35)} 
D)  {( 63, 35)} 
A)  {( -63, 35)} 
B)  {( 63, -35)} 
C)  {( -63, -35)} 
D)  {( 63, 35)}

Question 8

Provide an appropriate response.
-When two linear equations are solved for y and the slopes are different and the y-intercepts are different, the lines

Accepted Answer

A)  Intersecting 
B)  One Graph 
C)  Parallel 
A)  Intersecting 
B)  One Graph 
C)  Parallel

Question 9

Solve the system by graphing.
-3x - 2y = 25
2x + 3y = 21

Accepted Answer

A)  {( 1, 9)} 
B)  {( 3, 15)} 
C)  {( 9, 1)} 
D)     
A)  {( 1, 9)} 
B)  {( 3, 15)} 
C)  {( 9, 1)} 
D)

Question 10

Write the word or phrase that best completes each statement or answers the question.
-A student tried to clear the fractions in
   +   = 10
   +   = 5
by multiplying both fractions by zero. Is this an acceptable approach?

Accepted Answer

The answer of Write the word or phrase that best...

Question 11

Solve the system by any method.
--3y =- 5 - 1
30x = 18y - 6

Accepted Answer

A)  {( -5, 3)} 
B)  {(x, y)| 5x - 3y = -1} 
C)    
D)  {( 3, -5)} 
A)  {( -5, 3)} 
B)  {(x, y)| 5x - 3y = -1} 
C)    
D)  {( 3, -5)}

Question 12

Graph the solution of the system.
-X + y  - 3

Accepted Answer

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

Question 13

Write the word or phrase that best completes each statement or answers the question.
--4x + 2y = A
4x - 6y = B
For what values of A or B can this system of equations have (0,0) as a solution?

Accepted Answer

The answer of Write the word or phrase that best...

Question 14

Choose the one alternative that best completes the statement or answers the question. 
 
Decide whether or not the ordered pair is a solution of the system.
-( 1, -6)
4x + y = -2
3x + 4y = -21

Accepted Answer

A) True 
 B)False

Question 15

Write a system of equations for the problem, and then solve the system.
-There were 34,000 people at a ballgame in Los Angeles. The day's receipts from   reserved seats and   general-admission seats were   How many of each type of seat were sold?

Accepted Answer

A)  $ 12 seats: 9500; $ 5 seats: 24,500 
B)  $ 12 seats: 14,000; $ 5 seats: 20,000 
C)  $ 12 seats: 20,000; $ 5 seats: 14,000 
D)  $ 12 seats: 24,500; $ 5 seats: 9500 
A)  $ 12 seats: 9500; $ 5 seats: 24,500 
B)  $ 12 seats: 14,000; $ 5 seats: 20,000 
C)  $ 12 seats: 20,000; $ 5 seats: 14,000 
D)  $ 12 seats: 24,500; $ 5 seats: 9500

Question 16

Solve the system by elimination.
-  = 5
9x - 9y = 10

Accepted Answer

A)    
B)    
C)  {(x, y)|= 5}   
D)    
A)    
B)    
C)  {(x, y)|= 5}   
D)

Question 17

Choose the one alternative that best completes the statement or answers the question.
Solve by the substitution method.
-x + y = -6
X + y = 1

Accepted Answer

A)  {(0, -5)} 
B)  {( -6, 1)} 
C)  {(x, y)|x + y = -6} 
D)    
A)  {(0, -5)} 
B)  {( -6, 1)} 
C)  {(x, y)|x + y = -6} 
D)

Question 18

Solve the problem by using a system of equations.
-South Wind Vineyards uses 830 acres to plant Chardonnay and Riesling grapes. The vintner knows the profits will be greatest by planting 180 more acres of Chardonnay than Riesling. How many acres of each grape should be planted?

Accepted Answer

A)  Riesling: 408 acres; Chardonnay: 422 acres 
B)  Riesling: 325 acres; Chardonnay: 505 acres 
C)  Riesling: 242 acres; Chardonnay: 588 acres 
D)  Riesling: 505 acres; Chardonnay: 325 acres 
A)  Riesling: 408 acres; Chardonnay: 422 acres 
B)  Riesling: 325 acres; Chardonnay: 505 acres 
C)  Riesling: 242 acres; Chardonnay: 588 acres 
D)  Riesling: 505 acres; Chardonnay: 325 acres

Question 19

Choose the one alternative that best completes the statement or answers the question.
Solve by the substitution method.
-x + 7y = -22
2x + 6y = -12

Accepted Answer

A)  {( 6, -4)} 
B)  {( -6, -3)} 
C)  {( 5, -3)} 
D)    
A)  {( 6, -4)} 
B)  {( -6, -3)} 
C)  {( 5, -3)} 
D)

Question 20

Use a graphing calculator to solve the system.
-3x - y = 16
4x + y = 26

Accepted Answer

A)  {( 2, 6)} 
B)  {( 6, 3)} 
C)  {( 6, 2)} 
D)    
A)  {( 2, 6)} 
B)  {( 6, 3)} 
C)  {( 6, 2)} 
D)

Solve the system by elimination. -X + 4y = 4 6x - 5y = -5

Choose the one alternative that best completes the statement or answers the question. Solve by the substitution method. - = 5 9x = 10 + 9y

Solve the system by graphing. -3x + y = 12 X + 2y = 14

Solve by the substitution method. --0.5x - 0.5y = -0.5 0)3x - 0.2y = -0.7

Graph the solution set of the system of inequalities. -5x + 2y > -4 X - 3 $\le$ 3y $Graph the solution set of the system of inequalities. -5x + 2y > -4 X - 3 \le 3y$

Solve the system by elimination. --5x + 7y = 56 2x + 4y = 32

Solve the system by any method. - x - y = -53 - x+ y = 23

Provide an appropriate response. -When two linear equations are solved for y and the slopes are different and the y-intercepts are different, the lines

Solve the system by graphing. -3x - 2y = 25 2x + 3y = 21

Solve the system by any method. --3y =- 5 - 1 30x = 18y - 6

Graph the solution of the system. -X + y < 9 -7x + y > - 3

Write the word or phrase that best completes each statement or answers the question. --4x + 2y = A 4x - 6y = B For what values of A or B can this system of equations have (0,0) as a solution?

Choose the one alternative that best completes the statement or answers the question. Decide whether or not the ordered pair is a solution of the system. -( 1, -6) 4x + y = -2 3x + 4y = -21

Write a system of equations for the problem, and then solve the system. -There were 34,000 people at a ballgame in Los Angeles. The day's receipts from reserved seats and general-admission seats were How many of each type of seat were sold?

Solve the system by elimination. - = 5 9x - 9y = 10

Choose the one alternative that best completes the statement or answers the question. Solve by the substitution method. -x + y = -6 X + y = 1

Solve the problem by using a system of equations. -South Wind Vineyards uses 830 acres to plant Chardonnay and Riesling grapes. The vintner knows the profits will be greatest by planting 180 more acres of Chardonnay than Riesling. How many acres of each grape should be planted?

Choose the one alternative that best completes the statement or answers the question. Solve by the substitution method. -x + 7y = -22 2x + 6y = -12

Use a graphing calculator to solve the system. -3x - y = 16 4x + y = 26

The Real Number System

Linear Equations and Inequalities in One Variable

Linear Equations and Inequalities in Two Variables; Functions

Systems of Linear Equations and Inequalities

Factoring and Applications

Rational Expressions and Applications

Roots and Radicals

Quadratic Equations

Preparing for Your Math Final

Filters

Exam 5: Exponents and Polynomials