Question 1

Write the word or phrase that best completes each statement or answers the question.
-

Accepted Answer

The solution cannot

Question 2

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.
-Dmitri needs 9 liters of a 69% solution of sulfuric acid for a research project in molecular biology. He has two supplies of sulfuric acid solution: one is an unlimited supply of the 81% solution and
The other an unlimited supply of the 54% solution. How many liters of each solution should Dmitri
Use? 
A)  5.5 L of 81% solution; 3.5 L of 54% solution 
B)  4 L of 81% solution; 5 L of 54% solution 
C)  4.5 L of 81% solution; 4.5 L of 54% solution 
D)  5 L of 81% solution; 4 L of 54% solution 
A)  Substitution 
B)  Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-Dmitri needs 9 liters of a 69% solution of sulfuric acid for a research project in molecular biology. He has two supplies of sulfuric acid solution: one is an unlimited supply of the 81% solution and
The other an unlimited supply of the 54% solution. How many liters of each solution should Dmitri
Use? 
A)  5.5 L of 81% solution; 3.5 L of 54% solution 
B)  4 L of 81% solution; 5 L of 54% solution 
C)  4.5 L of 81% solution; 4.5 L of 54% solution 
D)  5 L of 81% solution; 4 L of 54% solution

Question 3

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 woman made a deposit of $278. If her deposit consisted of 74 bills, some of them one-dollar bills and the rest being five-dollar bills, how many one-dollar bills did she deposit? 
A)  18 one-dollar bills 
B)  23 one-dollar bills 
C)  13 one-dollar bills 
D)  51 one-dollar bills 
A)  Substitution 
B)  Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-A woman made a deposit of $278. If her deposit consisted of 74 bills, some of them one-dollar bills and the rest being five-dollar bills, how many one-dollar bills did she deposit? 
A)  18 one-dollar bills 
B)  23 one-dollar bills 
C)  13 one-dollar bills 
D)  51 one-dollar bills

Question 4

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 student tried to clear the fractions in $$\begin{array} { l } 
\frac { x } { 2 } + \frac { y } { 7 } = - 2 \
\frac { x } { 6 } + \frac { y } { 3 } = 1
\end{array}$$

Accepted Answer

The answer of work. Do not solve.
-5x + 9y =...

Question 5

Write the word or phrase that best completes each statement or answers the question.
-9x - 7y = 9
27x - 21y = 18

Accepted Answer

A)  (3, 2) 
B)  (9, 18) 
C)  $\left( \frac { 3 } { 4 } , - \frac { 27 } { 28 } \right)$ 
D)  $\text { Inconsistent, } \varnothing$ 
A)  (3, 2) 
B)  (9, 18) 
C)  $\left( \frac { 3 } { 4 } , - \frac { 27 } { 28 } \right)$ 
D)  $\text { Inconsistent, } \varnothing$

Question 6

Write the word or phrase that best completes each statement or answers the question.
-Every system of two linear inequalities has infinitely many solutions.

Accepted Answer

A) True 
 B)False

Question 7

Write the word or phrase that best completes each statement or answers the question.
-6x - 7y = -24
-2x + 5y = 8

Accepted Answer

A)  (-5, 1) 
B)  (-4, 1) 
C)  (-4, 0) 
D)  $\text { Inconsistent, } \varnothing$ 
A)  (-5, 1) 
B)  (-4, 1) 
C)  (-4, 0) 
D)  $\text { Inconsistent, } \varnothing$

Question 8

Write the word or phrase that best completes each statement or answers the question.
-$$\begin{array} { l } 
\frac { 7 } { 3 } x + \frac { 5 } { 4 } y = 4 \
\frac { 5 } { 6 } x - 2 y = 21
\end{array}$$

Accepted Answer

A)  Inconsistent, $\varnothing$ 
B)  Dependent, $\left( x , - \frac { 5 } { 12 } x - \frac { 21 } { 2 } \right)$ 
C)  $( - 6,8 )$ 
D)  $( 6 , - 8 )$ 
A)  Inconsistent, $\varnothing$ 
B)  Dependent, $\left( x , - \frac { 5 } { 12 } x - \frac { 21 } { 2 } \right)$ 
C)  $( - 6,8 )$ 
D)  $( 6 , - 8 )$

Question 9

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.
-The perimeter of a rectangle is six times the width. If the length were increased by 4 inches and the width were increased by 7 inches, then the perimeter would be 160 inches. What is the width? 
A)  69 in. 
B)  23 in. 
C)  46 in. 
D)  138 in. 
A)  Substitution 
B)  Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-The perimeter of a rectangle is six times the width. If the length were increased by 4 inches and the width were increased by 7 inches, then the perimeter would be 160 inches. What is the width? 
A)  69 in. 
B)  23 in. 
C)  46 in. 
D)  138 in.

Question 10

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 student took out two loans totaling $11,000 to help pay for college expenses. One loan was at 8% simple interest, and the other was at 4%. After one year, the student owed $640 in interest. Find
The amount of the loan at 4%. 
A)  $400 
B)  $240 
C)  $5000 
D)  $6000 
A)  Substitution 
B)  Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-A student took out two loans totaling $11,000 to help pay for college expenses. One loan was at 8% simple interest, and the other was at 4%. After one year, the student owed $640 in interest. Find
The amount of the loan at 4%. 
A)  $400 
B)  $240 
C)  $5000 
D)  $6000

Question 11

Is the ordered pair a solution of the given system of equations?
-(4, 6), 3x - y = -6 4x - 3y = 2

Accepted Answer

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

Question 12

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.
-Roberto invested some money at 6%, and then invested $5000 more than twice this amount at 12%. His total annual income from the two investments was $4500. How much was invested at 12%? 
A)  $26,000 
B)  $31,000 
C)  $3100 
D)  $15,000 
A)  Substitution 
B)  Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-Roberto invested some money at 6%, and then invested $5000 more than twice this amount at 12%. His total annual income from the two investments was $4500. How much was invested at 12%? 
A)  $26,000 
B)  $31,000 
C)  $3100 
D)  $15,000

Question 13

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

Accepted Answer

A) True 
 B)False

Question 14

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.
-2x + 3y = -1
4x + 2y = -3
What number would you multiply the top equation by to eliminate the x terms?

Accepted Answer

The answer of work. Do not solve.
-5x + 9y =...

Question 15

Is the ordered pair a solution of the given system of equations?
-(5, -2), 3x - y = 17 4x - 3y = 26

Accepted Answer

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

Question 16

Write the word or phrase that best completes each statement or answers the question.
-$$\begin{array} { l } 
3 x - 1 = y \
y - 3 x = 2
\end{array}$$

Accepted Answer

A)  $( 0,0 )$ 
B)  Dependent, $( x , 3 x - 1 )$ 
C)  Inconsistent, $\varnothing$ 
D)  $( 3,1 )$ 
A)  $( 0,0 )$ 
B)  Dependent, $( x , 3 x - 1 )$ 
C)  Inconsistent, $\varnothing$ 
D)  $( 3,1 )$

Question 17

Write the word or phrase that best completes each statement or answers the question.
-x + y = -6 x + y = -4

Accepted Answer

A)  (-6   -4) 
B)  (0, -10) 
C)  Dependent, (x, -10 - x) 
D)  Inconsistent, ∅ 
A)  (-6   -4) 
B)  (0, -10) 
C)  Dependent, (x, -10 - x) 
D)  Inconsistent, ∅

Question 18

Write the word or phrase that best completes each statement or answers the question.
-It is impossible for a system of two linear inequalities to have exactly one solution.

Accepted Answer

A) True 
 B)False

Question 19

Write the word or phrase that best completes each statement or answers the question.
-$\text { [ohn has a jarful of quarters and nickels. There are }$

Accepted Answer

A)  45 quarters and 51 nickels 
B)  91 quarters and 5 nickels 
C)  40 quarters and 56 nickels 
D)  56 quarters and 40 nickels 
A)  45 quarters and 51 nickels 
B)  91 quarters and 5 nickels 
C)  40 quarters and 56 nickels 
D)  56 quarters and 40 nickels

Question 20

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.
-How many liters (L) of a 10% silver iodide solution must be mixed with 6 L of a 4% silver iodide solution to get a 6% solution? 
A)  4.0 L 
B)  3.0 L 
C)  6.0 L 
D)  2.0 L 
A)  Substitution 
B)  Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-How many liters (L) of a 10% silver iodide solution must be mixed with 6 L of a 4% silver iodide solution to get a 6% solution? 
A)  4.0 L 
B)  3.0 L 
C)  6.0 L 
D)  2.0 L

Write the word or phrase that best completes each statement or answers the question. -

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 student tried to clear the fractions in +=-2 +=1

Write the word or phrase that best completes each statement or answers the question. -9x - 7y = 9 27x - 21y = 18

Write the word or phrase that best completes each statement or answers the question. -Every system of two linear inequalities has infinitely many solutions.

Write the word or phrase that best completes each statement or answers the question. -6x - 7y = -24 -2x + 5y = 8

Write the word or phrase that best completes each statement or answers the question. - x+y=4 x-2y=21

Is the ordered pair a solution of the given system of equations? -(4, 6), 3x - y = -6 4x - 3y = 2

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

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. -2x + 3y = -1 4x + 2y = -3 What number would you multiply the top equation by to eliminate the x terms?

Is the ordered pair a solution of the given system of equations? -(5, -2), 3x - y = 17 4x - 3y = 26

Write the word or phrase that best completes each statement or answers the question. - 3x-1=y y-3x=2

Write the word or phrase that best completes each statement or answers the question. -x + y = -6 x + y = -4

Write the word or phrase that best completes each statement or answers the question. -It is impossible for a system of two linear inequalities to have exactly one solution.

Write the word or phrase that best completes each statement or answers the question. - $\text { [ohn has a jarful of quarters and nickels. There are }$

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. -

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 student tried to clear the fractions in +=-2 +=1

Write the word or phrase that best completes each statement or answers the question. -9x - 7y = 9 27x - 21y = 18

Write the word or phrase that best completes each statement or answers the question. -Every system of two linear inequalities has infinitely many solutions.

Write the word or phrase that best completes each statement or answers the question. -6x - 7y = -24 -2x + 5y = 8

Write the word or phrase that best completes each statement or answers the question. - x+y=4 x-2y=21

Is the ordered pair a solution of the given system of equations? -(4, 6), 3x - y = -6 4x - 3y = 2

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

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. -2x + 3y = -1 4x + 2y = -3 What number would you multiply the top equation by to eliminate the x terms?

Is the ordered pair a solution of the given system of equations? -(5, -2), 3x - y = 17 4x - 3y = 26

Write the word or phrase that best completes each statement or answers the question. - 3x-1=y y-3x=2

Write the word or phrase that best completes each statement or answers the question. -x + y = -6 x + y = -4

Write the word or phrase that best completes each statement or answers the question. -It is impossible for a system of two linear inequalities to have exactly one solution.

Write the word or phrase that best completes each statement or answers the question. - [ohn has a jarful of quarters and nickels. There are \text { [ohn has a jarful of quarters and nickels. There are } [ohn has a jarful of quarters and nickels. There are

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. - $\text { [ohn has a jarful of quarters and nickels. There are }$