Question 1

Write the word or phrase that best completes each statement or answers the question.
-$$\begin{array} { l } 
8 x + 5 y = - 22 \
- \frac { 6 } { 5 } x + y = - \frac { 36 } { 5 }
\end{array}$$

Accepted Answer

A)  $( - 1 , - 6 )$ 
B)  $( 6,1 )$ 
C)  $( - 6,1 )$ 
D)  $( 1 , - 6 )$ 
A)  $( - 1 , - 6 )$ 
B)  $( 6,1 )$ 
C)  $( - 6,1 )$ 
D)  $( 1 , - 6 )$

Question 2

Write the word or phrase that best completes each statement or answers the question.
-x + 7y = -2 3x + y = 34

Accepted Answer

A)  (7, 12) 
B)  (-2, 3) 
C)  (3, 7) 
D)  (12, -2) 
A)  (7, 12) 
B)  (-2, 3) 
C)  (3, 7) 
D)  (12, -2)

Question 3

Write the word or phrase that best completes each statement or answers the question.
-$$\begin{array} { l } 
x - 4 y = 2 \
x = 7 + 4 y
\end{array}$$

Accepted Answer

A)  $( 2,4 )$ 
B)  Inconsistent, $\varnothing$ 
C)  $( 2,0 )$ 
D)  Dependent, $( x , 4 x + 2 )$ 
A)  $( 2,4 )$ 
B)  Inconsistent, $\varnothing$ 
C)  $( 2,0 )$ 
D)  Dependent, $( x , 4 x + 2 )$

Question 4

Write the word or phrase that best completes each statement or answers the question.
-A system of two linear inequalities can have solutions in exactly three of the quadrants.

Accepted Answer

A) True 
 B)False

Question 5

work. Do not solve.
-5x + 9y = -12
-4x - 4y = -32

Accepted Answer

A)  Substitution 
B)  Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-A sum of money amounting to $3.10 consists of dimes and quarters. If there are 16 coins in all, how many are quarters? 
A)  6 quarters 
B)  8 quarters 
C)  15 quarters 
D)  10 quarters 
A)  Substitution 
B)  Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-A sum of money amounting to $3.10 consists of dimes and quarters. If there are 16 coins in all, how many are quarters? 
A)  6 quarters 
B)  8 quarters 
C)  15 quarters 
D)  10 quarters

Question 6

Write the word or phrase that best completes each statement or answers the question.
-3x + y = 13 2x + 9y = -8

Accepted Answer

A)  (5, 2) 
B)  (5, -2) 
C)  (-5, 2) 
D)  (-5, -2) 
A)  (5, 2) 
B)  (5, -2) 
C)  (-5, 2) 
D)  (-5, -2)

Question 7

Write the word or phrase that best completes each statement or answers the question.
-$$\frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 3$$
$x - y = - 6$

Accepted Answer

A)  $( 2,10 )$ 
B)  Inconsistent, $\varnothing$ 
C)  $( 3,9 )$ 
D)  $( - 3,10 )$ 
A)  $( 2,10 )$ 
B)  Inconsistent, $\varnothing$ 
C)  $( 3,9 )$ 
D)  $( - 3,10 )$

Question 8

Write the word or phrase that best completes each statement or answers the question.
-A store sells televisions for $360 and digital video recorders for $270. At the beginning of the week its entire stock is worth $59,580. During the week it sells three quarters of the televisions and one
Third of the digital video recorders for a total of $34,560. How many televisions and digital video
Recorders did it have in its stock at the beginning of the week?

Accepted Answer

A)  95 televisions; 94 digital video recorders 
B)  98 televisions; 90 digital video recorders 
C)  96 televisions; 96 digital video recorders 
D)  97 televisions; 93 digital video recorders 
A)  95 televisions; 94 digital video recorders 
B)  98 televisions; 90 digital video recorders 
C)  96 televisions; 96 digital video recorders 
D)  97 televisions; 93 digital video recorders

Question 9

Write the word or phrase that best completes each statement or answers the question.
-Describe two advantages of the substitution method over the graphing method for solving
systems of equations.

Accepted Answer

The substitution method always yields an

Question 10

Solve the problem.
-Devon purchased tickets to an air show for 5 adults and 2 children. The total cost was $112. The cost of a childʹs ticket was $7 less than the cost of an adultʹs ticket. Find the price of an adultʹs ticket
And a childʹs ticket.

Accepted Answer

A)  adultʹs ticket: $20; childʹs ticket: $13 
B)  adultʹs ticket: $18; childʹs ticket: $11 
C)  adultʹs ticket: $19; childʹs ticket: $12 
D)  adultʹs ticket: $17; childʹs ticket: $10 
A)  adultʹs ticket: $20; childʹs ticket: $13 
B)  adultʹs ticket: $18; childʹs ticket: $11 
C)  adultʹs ticket: $19; childʹs ticket: $12 
D)  adultʹs ticket: $17; childʹs ticket: $10

Question 11

Is the ordered pair a solution of the given system of equations?
-If the y term is missing in

Accepted Answer

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

Question 12

Write the word or phrase that best completes each statement or answers the question.
-Under what condition(s) will a system of two linear inequalities have no solution?

Accepted Answer

One condition under which a system of tw

Question 13

Write the word or phrase that best completes each statement or answers the question.
-5x + 3y = 80 2x + y = 30

Accepted Answer

A)  (10, 0) 
B)  (0, 0) 
C)  (0, 10) 
D)  (10, 10) 
A)  (10, 0) 
B)  (0, 0) 
C)  (0, 10) 
D)  (10, 10)

Question 14

Is the ordered pair a solution of the given system of equations?
-(-1, 3), xx -+ yy == -24

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 15

work. Do not solve.
-5x + 9y = -12
-4x - 4y = -32

Accepted Answer

A)  Substitution 
B)  Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-Paul invested four times as much money in an account paying 4% interest than he did in an account paying 1% interest. If the total interest paid was $595, how much did he invest in each? 
A)  $140 at 4%, $35 at 1% 
B)  $14,000 at 4%, $3500 at 1% 
C)  $14,000 at 4%, $4000 at 1% 
D)  $3500 at 4%, $14,000 at 1% 
A)  Substitution 
B)  Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-Paul invested four times as much money in an account paying 4% interest than he did in an account paying 1% interest. If the total interest paid was $595, how much did he invest in each? 
A)  $140 at 4%, $35 at 1% 
B)  $14,000 at 4%, $3500 at 1% 
C)  $14,000 at 4%, $4000 at 1% 
D)  $3500 at 4%, $14,000 at 1%

Question 16

work. Do not solve.
-5x + 9y = -12
-4x - 4y = -32

Accepted Answer

A)  Substitution 
B)  Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-A retired couple has $140,000 to invest to obtain annual income. They want some of it invested in safe Certificates of Deposit yielding 7%. The rest they want to invest in AA bonds yielding 10% per
Year. How much should they invest in each to realize exactly $12,500 per year? 
A)  $90,000 at 10% and $50,000 at 7% 
B)  $100,000 at 10% and $40,000 at 7% 
C)  $80,000 at 7% and $60,000 at 10% 
D)  $90,000 at 7% and $50,000 at 10% 
A)  Substitution 
B)  Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-A retired couple has $140,000 to invest to obtain annual income. They want some of it invested in safe Certificates of Deposit yielding 7%. The rest they want to invest in AA bonds yielding 10% per
Year. How much should they invest in each to realize exactly $12,500 per year? 
A)  $90,000 at 10% and $50,000 at 7% 
B)  $100,000 at 10% and $40,000 at 7% 
C)  $80,000 at 7% and $60,000 at 10% 
D)  $90,000 at 7% and $50,000 at 10%

Question 17

Write the word or phrase that best completes each statement or answers the question.
-South Wind Vineyards uses 830 acres to plant Chardonnay and Riesling grapes. The vintner knows the profits will be greatest by planting 240 more acres of Chardonnay than Riesling. How
Many acres of each grape should be planted?

Accepted Answer

A)  Riesling: 212 acres; Chardonnay: 618 acres 
B)  Riesling: 295 acres; Chardonnay: 535 acres 
C)  Riesling: 378 acres; Chardonnay: 452 acres 
D)  Riesling: 535 acres; Chardonnay: 295 acres 
A)  Riesling: 212 acres; Chardonnay: 618 acres 
B)  Riesling: 295 acres; Chardonnay: 535 acres 
C)  Riesling: 378 acres; Chardonnay: 452 acres 
D)  Riesling: 535 acres; Chardonnay: 295 acres

Question 18

Write the word or phrase that best completes each statement or answers the question.
-Give an equation that, along with the equation y = 6x + 1 $\text { forms a system whose only }$

Accepted Answer

Answers may vary. On

Question 19

work. Do not solve.
-5x + 9y = -12
-4x - 4y = -32
A) Substitution B) Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-While using the addition method, if the following occurs, what can you say about the
graph of the system of equations?
3x - 7y = 8
- 3x + 7y = -8
0 = 0

Accepted Answer

The equati

Question 20

Write the word or phrase that best completes each statement or answers the question.
-A student solved the system of equations
x + 2y = 4
2x + 4y = 8
for x in the first equation, and substituted into the second equation. The yʹs also
disappeared in the process. The student claimed that the system of equations has no
solution. Is this correct?

Accepted Answer

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

Write the word or phrase that best completes each statement or answers the question. - 8x+5y=-22 -x+y=-

Write the word or phrase that best completes each statement or answers the question. -x + 7y = -2 3x + y = 34

Write the word or phrase that best completes each statement or answers the question. - x-4y=2 x=7+4y

Write the word or phrase that best completes each statement or answers the question. -A system of two linear inequalities can have solutions in exactly three of the quadrants.

work. Do not solve. -5x + 9y = -12 -4x - 4y = -32 A) Substitution B) Addition Answer: B Write the word or phrase that best completes each statement or answers the question. -A sum of money amounting to $3.10 consists of dimes and quarters. If there are 16 coins in all, how many are quarters?

Write the word or phrase that best completes each statement or answers the question. -3x + y = 13 2x + 9y = -8

Write the word or phrase that best completes each statement or answers the question. - $\frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 3$ $x - y = - 6$

Write the word or phrase that best completes each statement or answers the question. -Describe two advantages of the substitution method over the graphing method for solving systems of equations.

Solve the problem. -Devon purchased tickets to an air show for 5 adults and 2 children. The total cost was $112. The cost of a childʹs ticket was $7 less than the cost of an adultʹs ticket. Find the price of an adultʹs ticket And a childʹs ticket.

Is the ordered pair a solution of the given system of equations? -If the y term is missing in

Write the word or phrase that best completes each statement or answers the question. -Under what condition(s) will a system of two linear inequalities have no solution?

Write the word or phrase that best completes each statement or answers the question. -5x + 3y = 80 2x + y = 30

Is the ordered pair a solution of the given system of equations? -(-1, 3), xx -+ yy == -24

Write the word or phrase that best completes each statement or answers the question. -Give an equation that, along with the equation y = 6x + 1 $\text { forms a system whose only }$

Review of Real Numbers

Linear Equations

Graphing Linear Equations

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

A Transition

Radical Expressions and Equations

Quadratic Equations

Functions

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 4: Systems of Equations

Write the word or phrase that best completes each statement or answers the question. - 8x+5y=-22 -x+y=-

Write the word or phrase that best completes each statement or answers the question. -x + 7y = -2 3x + y = 34

Write the word or phrase that best completes each statement or answers the question. - x-4y=2 x=7+4y

Write the word or phrase that best completes each statement or answers the question. -A system of two linear inequalities can have solutions in exactly three of the quadrants.

work. Do not solve. -5x + 9y = -12 -4x - 4y = -32 A) Substitution B) Addition Answer: B Write the word or phrase that best completes each statement or answers the question. -A sum of money amounting to $3.10 consists of dimes and quarters. If there are 16 coins in all, how many are quarters?

Write the word or phrase that best completes each statement or answers the question. -3x + y = 13 2x + 9y = -8

Write the word or phrase that best completes each statement or answers the question. - 14x+14y=3\frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 341​x+41​y=3 x−y=−6x - y = - 6x−y=−6

Write the word or phrase that best completes each statement or answers the question. -Describe two advantages of the substitution method over the graphing method for solving systems of equations.

Solve the problem. -Devon purchased tickets to an air show for 5 adults and 2 children. The total cost was $112. The cost of a childʹs ticket was $7 less than the cost of an adultʹs ticket. Find the price of an adultʹs ticket And a childʹs ticket.

Is the ordered pair a solution of the given system of equations? -If the y term is missing in

Write the word or phrase that best completes each statement or answers the question. -Under what condition(s) will a system of two linear inequalities have no solution?

Write the word or phrase that best completes each statement or answers the question. -5x + 3y = 80 2x + y = 30

Is the ordered pair a solution of the given system of equations? -(-1, 3), xx -+ yy == -24

Write the word or phrase that best completes each statement or answers the question. -Give an equation that, along with the equation y = 6x + 1 forms a system whose only \text { forms a system whose only } forms a system whose only

Review of Real Numbers

Linear Equations

Graphing Linear Equations

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

A Transition

Radical Expressions and Equations

Quadratic Equations

Functions

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Write the word or phrase that best completes each statement or answers the question. - $\frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 3$ $x - y = - 6$

Write the word or phrase that best completes each statement or answers the question. -Give an equation that, along with the equation y = 6x + 1 $\text { forms a system whose only }$