Question 1

Write the word or phrase that best completes each statement or answers the question.
-$\begin{array} { l } 
6 x - 6 y = 42 \
2 x + 4 y = - 28
\end{array}$

Accepted Answer

A)  $( 0 , - 6 )$ 
B)  $( - 1 , - 6 )$ 
C)  $( 0 , - 7 )$ 
D)  Inconsistent, $\varnothing$ 
A)  $( 0 , - 6 )$ 
B)  $( - 1 , - 6 )$ 
C)  $( 0 , - 7 )$ 
D)  Inconsistent, $\varnothing$

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.
-In a chemistry class, 9 liters of a 4%-saline solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed? 
A)  3.5 L 
B)  4.5 L 
C)  5.5 L 
D)  9.0 L 
A)  Substitution 
B)  Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-In a chemistry class, 9 liters of a 4%-saline solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed? 
A)  3.5 L 
B)  4.5 L 
C)  5.5 L 
D)  9.0 L

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 chemist needs 150 milliliters of a 55% solution but has only 11% and 71% solutions available. Find how many milliliters of each that should be mixed to get the desired solution. 
A)  40 ml of 11%; 110 ml of 71% 
B)  110 ml of 11%; 40 ml of 71% 
C)  43 ml of 11%; 110 ml of 71% 
D)  43 ml of 11%; 107 ml of 71% 
A)  Substitution 
B)  Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-A chemist needs 150 milliliters of a 55% solution but has only 11% and 71% solutions available. Find how many milliliters of each that should be mixed to get the desired solution. 
A)  40 ml of 11%; 110 ml of 71% 
B)  110 ml of 11%; 40 ml of 71% 
C)  43 ml of 11%; 110 ml of 71% 
D)  43 ml of 11%; 107 ml of 71%

Question 4

Provide an appropriate response.
-Solving for which variable in which equation involves the least amount of work? 
5x - 7y = -60 
-9x - 3y = 30

Accepted Answer

A)  x in equation 2 
B) y in equation 1 
C) y in equation 2 
D) x in equation 1 
A)  x in equation 2 
B) y in equation 1 
C) y in equation 2 
D) x in equation 1

Question 5

Write the word or phrase that best completes each statement or answers the question.
-x + 9y = 9 6x - 5y = -5

Accepted Answer

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

Question 6

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.
-Walt made an extra $7000 last year from a part-time job. He invested part of the money at 10% and the rest at 9%. He made a total of $680 in interest. How much was invested at 9%? 
A)  $5000 
B)  $7000 
C)  $3500 
D)  $2000 
A)  Substitution 
B)  Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-Walt made an extra $7000 last year from a part-time job. He invested part of the money at 10% and the rest at 9%. He made a total of $680 in interest. How much was invested at 9%? 
A)  $5000 
B)  $7000 
C)  $3500 
D)  $2000

Question 7

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 38 m. If the width were doubled and the length were increased by 14 m, then the perimeter would be 78 m. What are the dimensions? 
A)  Width: 9 m; length: 9 m 
B)  Width: 6 m; length: 13 m 
C)  Width: 13 m; length: 6 m 
D)  Width: 4 m; length: 9 m 
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 38 m. If the width were doubled and the length were increased by 14 m, then the perimeter would be 78 m. What are the dimensions? 
A)  Width: 9 m; length: 9 m 
B)  Width: 6 m; length: 13 m 
C)  Width: 13 m; length: 6 m 
D)  Width: 4 m; length: 9 m

Question 8

Solve the problem.
-In a certain region, the median age of men, y, at their first marriage in a particular year can be approximated by the equation y = 0.12x + 23.7, where x represents the number of years after 1980
And y is in years. In the same region, the median age of women, y, at their first marriage in a
Particular year can be approximated by the equation y = 0.22x + 21.6, where x represents the
Number of years after 1980 and y is in years. If the current trend continues in this region, in what
Year will the median age of men at their first marriage equal the median age of women at their first
Marriage?

Accepted Answer

A)  2001 
B)  2002 
C)  2000 
D)  1991 
A)  2001 
B)  2002 
C)  2000 
D)  1991

Question 9

Write the word or phrase that best completes each statement or answers the question.
-When graphing a linear inequality, the origin can always be used as a test point for determining which side of a boundary line should be shaded.

Accepted Answer

A) True 
 B)False

Question 10

Write the word or phrase that best completes each statement or answers the question.
-There were 35,000 people at a ball game in Los Angeles. The dayʹs receipts were $238,000. How many people paid $12 for reserved seats and how many paid $5 for general admission?

Accepted Answer

A)  19,250 paid $12 and 15,750 paid $5 
B)  15,750 paid $12 and 19,250 paid $5 
C)  9000 paid $12 and 26,000 paid $5 
D)  26,000 paid $12 and 9000 paid $5 
A)  19,250 paid $12 and 15,750 paid $5 
B)  15,750 paid $12 and 19,250 paid $5 
C)  9000 paid $12 and 26,000 paid $5 
D)  26,000 paid $12 and 9000 paid $5

Question 11

Write the word or phrase that best completes each statement or answers the question.
-$\frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 0$ $x - y = - 4$

Accepted Answer

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

Question 12

Is the ordered pair a solution of the given system of equations?
-(2, 1), 3x + y = 7 2x + 3y = 7

Accepted Answer

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

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 all quadrants.

Accepted Answer

A) True 
 B)False

Question 14

Is the ordered pair a solution of the given system of equations?
-(-3, -1), 3x + y = -8 4x + 3y = -9

Accepted Answer

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

Question 15

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

Accepted Answer

A)  $( 0,0 )$ 
B)  $( 5,3 )$ 
C)  Dependent, $( x , 5 x - 3 )$ 
D)  Inconsistent, $\varnothing$ 
A)  $( 0,0 )$ 
B)  $( 5,3 )$ 
C)  Dependent, $( x , 5 x - 3 )$ 
D)  Inconsistent, $\varnothing$

Question 16

Write the word or phrase that best completes each statement or answers the question.
-$$\begin{array} { l } 
5 y + x = - 8 \
x = 2 y + 5
\end{array}$$

Accepted Answer

A)  $\left( - \frac { 9 } { 7 } , - \frac { 13 } { 7 } \right)$ 
B)  $\left( \frac { 9 } { 7 } , - \frac { 13 } { 7 } \right)$ 
C)  $\left( \frac { 9 } { 7 } , \frac { 13 } { 7 } \right)$ 
D)  $\left( - \frac { 9 } { 7 } , \frac { 13 } { 7 } \right)$ 
A)  $\left( - \frac { 9 } { 7 } , - \frac { 13 } { 7 } \right)$ 
B)  $\left( \frac { 9 } { 7 } , - \frac { 13 } { 7 } \right)$ 
C)  $\left( \frac { 9 } { 7 } , \frac { 13 } { 7 } \right)$ 
D)  $\left( - \frac { 9 } { 7 } , \frac { 13 } { 7 } \right)$

Question 17

Solve the problem.
-In a recent school board election, the two candidates for president received 3064 votes. The loser received 608 fewer votes than the winner. How many votes did the winner receive?

Accepted Answer

A)  1836 votes 
B)  1222 votes 
C)  2456 votes 
D)  1228 votes 
A)  1836 votes 
B)  1222 votes 
C)  2456 votes 
D)  1228 votes

Question 18

Is the ordered pair a solution of the given system of equations?
-(1, -6), x + y = -7 x - y = 5

Accepted Answer

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

Question 19

Write the word or phrase that best completes each statement or answers the question.
-x - 5y = -4 x + 8y = -4

Accepted Answer

A)  (0, -4) 
B)  (-4, 0) 
C)  (0, 4) 
D)  (4, 0) 
A)  (0, -4) 
B)  (-4, 0) 
C)  (0, 4) 
D)  (4, 0)

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.
-Andy has 17 coins made up of quarters and half dollars, and their total value is $5.25. How many quarters does he have? 
A)  6 quarters 
B)  18 quarters 
C)  13 quarters 
D)  4 quarters 
A)  Substitution 
B)  Addition
Answer: B
Write the word or phrase that best completes each statement or answers the question.
-Andy has 17 coins made up of quarters and half dollars, and their total value is $5.25. How many quarters does he have? 
A)  6 quarters 
B)  18 quarters 
C)  13 quarters 
D)  4 quarters

Write the word or phrase that best completes each statement or answers the question. - 6x-6y=42 2x+4y=-28

Provide an appropriate response. -Solving for which variable in which equation involves the least amount of work? 5x - 7y = -60 -9x - 3y = 30

Write the word or phrase that best completes each statement or answers the question. -x + 9y = 9 6x - 5y = -5

Write the word or phrase that best completes each statement or answers the question. -When graphing a linear inequality, the origin can always be used as a test point for determining which side of a boundary line should be shaded.

Write the word or phrase that best completes each statement or answers the question. -There were 35,000 people at a ball game in Los Angeles. The dayʹs receipts were $238,000. How many people paid $12 for reserved seats and how many paid $5 for general admission?

Write the word or phrase that best completes each statement or answers the question. - $\frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 0$ $x - y = - 4$

Is the ordered pair a solution of the given system of equations? -(2, 1), 3x + y = 7 2x + 3y = 7

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

Is the ordered pair a solution of the given system of equations? -(-3, -1), 3x + y = -8 4x + 3y = -9

Write the word or phrase that best completes each statement or answers the question. - 5x-3=y y-5x=4

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

Solve the problem. -In a recent school board election, the two candidates for president received 3064 votes. The loser received 608 fewer votes than the winner. How many votes did the winner receive?

Is the ordered pair a solution of the given system of equations? -(1, -6), x + y = -7 x - y = 5

Write the word or phrase that best completes each statement or answers the question. -x - 5y = -4 x + 8y = -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. -Andy has 17 coins made up of quarters and half dollars, and their total value is $5.25. How many quarters does he have?

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. - 6x-6y=42 2x+4y=-28

Provide an appropriate response. -Solving for which variable in which equation involves the least amount of work? 5x - 7y = -60 -9x - 3y = 30

Write the word or phrase that best completes each statement or answers the question. -x + 9y = 9 6x - 5y = -5

Write the word or phrase that best completes each statement or answers the question. -When graphing a linear inequality, the origin can always be used as a test point for determining which side of a boundary line should be shaded.

Write the word or phrase that best completes each statement or answers the question. -There were 35,000 people at a ball game in Los Angeles. The dayʹs receipts were $238,000. How many people paid $12 for reserved seats and how many paid $5 for general admission?

Write the word or phrase that best completes each statement or answers the question. - 14x+14y=0\frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 041​x+41​y=0 x−y=−4x - y = - 4x−y=−4

Is the ordered pair a solution of the given system of equations? -(2, 1), 3x + y = 7 2x + 3y = 7

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

Is the ordered pair a solution of the given system of equations? -(-3, -1), 3x + y = -8 4x + 3y = -9

Write the word or phrase that best completes each statement or answers the question. - 5x-3=y y-5x=4

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

Solve the problem. -In a recent school board election, the two candidates for president received 3064 votes. The loser received 608 fewer votes than the winner. How many votes did the winner receive?

Is the ordered pair a solution of the given system of equations? -(1, -6), x + y = -7 x - y = 5

Write the word or phrase that best completes each statement or answers the question. -x - 5y = -4 x + 8y = -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. -Andy has 17 coins made up of quarters and half dollars, and their total value is $5.25. How many quarters does he have?

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. - $\frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 0$ $x - y = - 4$