Question 1

Graph of the solution set of the inequality. $$y + x \leq 15$$

Accepted Answer

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

Question 2

Solve the system of equations by graphing. $$\begin{aligned}
y & = - 3 x + 2 \
- 3 x & = y - 1
\end{aligned}$$

Accepted Answer

No solutio

Question 3

Graph the solution set of the inequality. $$5 x \leq 7$$

Accepted Answer

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

Question 4

Solve by using either the addition method or the substitution method. $$\begin{array} { l } 
0.03 x = 0.04 y + 0.2 \
- 0.05 y = - 4.4 + 0.04 x
\end{array}$$

Accepted Answer

A)  (40, 30) 
B)  (70, 60) 
C)  (70, 30) 
D)  (60, 40) 
A)  (40, 30) 
B)  (70, 60) 
C)  (70, 30) 
D)  (60, 40)

Question 5

Solve the system by using the substitution method. $$\begin{array} { l } 
y = 400 x - 1260 \
y = - 100 x + 740
\end{array}$$

Accepted Answer

A)  (7, 1540) 
B)  (9, -160) 
C)  (4, 340) 
D)  (5, 740) 
A)  (7, 1540) 
B)  (9, -160) 
C)  (4, 340) 
D)  (5, 740)

Question 6

Solve by using either the addition method or the substitution method. $$\begin{array} { l } 
\frac { 1 } { 8 } x + \frac { 1 } { 5 } y = - \frac { 31 } { 20 } \
\frac { 7 } { 8 } x + \frac { 5 } { 8 } y = - \frac { 31 } { 4 }
\end{array}$$

Accepted Answer

A)  $( - 14,1 )$ 
B)  $( - 6 , - 4 )$ 
C)  $( 2 , - 9 )$ 
D)  $( - 11,3 )$ 
A)  $( - 14,1 )$ 
B)  $( - 6 , - 4 )$ 
C)  $( 2 , - 9 )$ 
D)  $( - 11,3 )$

Question 7

Lorenzo invested $22,000 into two accounts; one pays 4% simple interest and the other pays 7% simple interest. At the end of the first year, Lorenzo's total return was $1150. How much did he Invest in each account?

Accepted Answer

A)  $13,000 at 4%; $9000 at 7% 
B)  $9000 at 4%; $13,000 at 7% 
C)  $10,000 at 4%; $12,000 at 7% 
D)  $12,000 at 4%; $10,000 at 7% 
A)  $13,000 at 4%; $9000 at 7% 
B)  $9000 at 4%; $13,000 at 7% 
C)  $10,000 at 4%; $12,000 at 7% 
D)  $12,000 at 4%; $10,000 at 7%

Question 8

In the next week, Maureen plans to work at most 50 hours, divided between 2 jobs. Let x represent the number of hours spent as a telemarketer, and let y represent the number of hours spent working As a lifeguard. Is the point (-1, 34) in the feasible region defining Maureen's work time?

Accepted Answer

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

Question 9

Graph the solution set of the compound inequality. $$x + y > 5 \text { or } y \leq - 8$$

Accepted Answer

The answer of Graph the solution set of the compound...

Question 10

Solve the system by using the substitution method. $$\begin{array} { l } 
x = - \frac { 5 } { 9 } y + \frac { 37 } { 3 } \
y = - \frac { 5 } { 8 } x + \frac { 93 } { 8 }
\end{array}$$

Accepted Answer

A)  (19, -12) 
B)  (4, 15) 
C)  (14, -3) 
D)  (9, 6) 
A)  (19, -12) 
B)  (4, 15) 
C)  (14, -3) 
D)  (9, 6)

Question 11

Solve the system. If there is no unique solution, label the system as either dependent or inconsistent.
$$\begin{aligned}
- 0.4 x + 0.5 y & = - 3.7 \
0.3 y - 0.1 z & = - 1.1 \
- 0.1 x + 0.5 z & = - 2.3
\end{aligned}$$

Accepted Answer

A)  $( 3 , - 5 , - 3 )$ 
B)  $( 3 , - 5 , - 4 )$ 
C)  $( 6 , - 5 , - 4 )$ 
D)  Dependent system (infinitely many solutions) 
A)  $( 3 , - 5 , - 3 )$ 
B)  $( 3 , - 5 , - 4 )$ 
C)  $( 6 , - 5 , - 4 )$ 
D)  Dependent system (infinitely many solutions)

Question 12

Solve the system of equations.
$$\begin{aligned}
- 8 x - 7 y + 2 z & = 7 \
x - 4 y + 3 z & = - 9 \
8 x + 2 y - 5 z & = 10
\end{aligned}$$

Accepted Answer

A)  $( 1 , - 1,4 )$ 
B)  $( - 1 , - 4 , - 8 )$ 
C)  $( - 1 , - 3 , - 11 )$ 
D)  $( - 1 , - 1 , - 4 )$ 
A)  $( 1 , - 1,4 )$ 
B)  $( - 1 , - 4 , - 8 )$ 
C)  $( - 1 , - 3 , - 11 )$ 
D)  $( - 1 , - 1 , - 4 )$

Question 13

Solve the system by using the substitution method. $$\begin{array} { l } 
5 ( x + 3 y ) = 15 \
- 5 x = 2 x - 15
\end{array}$$

Accepted Answer

A)  (0, 1) 
B)  (6, -1) 
C)  (3, 0) 
D)  No solution; { }; inconsistent system 
A)  (0, 1) 
B)  (6, -1) 
C)  (3, 0) 
D)  No solution; { }; inconsistent system

Question 14

In the next week, Maureen plans to work at most 50 hours, divided between 2 jobs. Let x represent the number of hours spent as a telemarketer, and let y represent the number of hours spent working as a lifeguard. Find a set of inequalities to describe the constraints on Maureen's work time.

Accepted Answer

\[\begin{array} { l

Question 15

Solve the system.
$$\begin{array} { l } 
9 x + 9 y = 37 \
- 7 x + 11 y = 37
\end{array}$$

Accepted Answer

A)  $\left( \frac { 37 } { 81 } , \frac { 296 } { 81 } \right)$ 
B)  $\left( \frac { 37 } { 18 } , - \frac { 148 } { 9 } \right)$ 
C)  $\left( \frac { 37 } { 18 } , - \frac { 2 } { 9 } \right)$ 
D)  $\left( \frac { 37 } { 81 } , - \frac { 2 } { 9 } \right)$ 
A)  $\left( \frac { 37 } { 81 } , \frac { 296 } { 81 } \right)$ 
B)  $\left( \frac { 37 } { 18 } , - \frac { 148 } { 9 } \right)$ 
C)  $\left( \frac { 37 } { 18 } , - \frac { 2 } { 9 } \right)$ 
D)  $\left( \frac { 37 } { 81 } , - \frac { 2 } { 9 } \right)$

Question 16

Set up the augmented matrix.
$$\begin{aligned}
- 5 x - 3 & = 6 z \
9 x - 8 z & = 9 + 6 y \
8 x - 3 y + 9 z & = - 8
\end{aligned}$$

Accepted Answer

A) 
$$\left[ \begin{array} { c c c | c } 
- 5 & 0 & 6 & - 3 \
9 & 6 & - 8 & 9 \
8 & - 3 & 9 & - 8
\end{array} \right]$$ 
B) 
$$\left[ \begin{array} { c c c | c } 
- 5 & 0 & - 6 & 0 \
9 & 6 & - 8 & 0 \
8 & - 3 & 9 & 0
\end{array} \right]$$ 
C) 
$$\left[ \begin{array} { c c c | c } 
- 5 & 0 & - 3 & 6 \
9 & 6 & - 8 & 9 \
8 & - 3 & 9 & - 8
\end{array} \right]$$ 
D)

$$\left[ \begin{array} { c c c | c } 
- 5 & 0 & - 6 & 3 \
9 & - 6 & - 8 & 9 \
8 & - 3 & 9 & - 8
\end{array} \right]$$ 
A) 
$$\left[ \begin{array} { c c c | c } 
- 5 & 0 & 6 & - 3 \
9 & 6 & - 8 & 9 \
8 & - 3 & 9 & - 8
\end{array} \right]$$ 
B) 
$$\left[ \begin{array} { c c c | c } 
- 5 & 0 & - 6 & 0 \
9 & 6 & - 8 & 0 \
8 & - 3 & 9 & 0
\end{array} \right]$$ 
C) 
$$\left[ \begin{array} { c c c | c } 
- 5 & 0 & - 3 & 6 \
9 & 6 & - 8 & 9 \
8 & - 3 & 9 & - 8
\end{array} \right]$$ 
D)

$$\left[ \begin{array} { c c c | c } 
- 5 & 0 & - 6 & 3 \
9 & - 6 & - 8 & 9 \
8 & - 3 & 9 & - 8
\end{array} \right]$$

Question 17

-Solve by using the substitution method. $$\begin{aligned}
y & = - 5 x - 1 \
- 5 x + 3 y & = - 23
\end{aligned}$$

Accepted Answer

A)  (1, -6) 
B)  (7, -36) 
C)  (-1, 4) 
D)  No solution; { }; inconsistent system 
A)  (1, -6) 
B)  (7, -36) 
C)  (-1, 4) 
D)  No solution; { }; inconsistent system

Question 18

Solve the system of equations by graphing. $$\begin{array} { r } 
x + 5 y = - 2 \
y = - 1
\end{array}$$

Accepted Answer

The answer of Solve the system of equations by graphing....

Question 19

Which is a solution of $4 x + 5 y \leq 20$ ?

Accepted Answer

A)  $( 0,5 )$ 
B)  $( 1,1 )$ 
C)  $( 5,7 )$ 
D)  $( 8,0 )$ 
A)  $( 0,5 )$ 
B)  $( 1,1 )$ 
C)  $( 5,7 )$ 
D)  $( 8,0 )$

Question 20

The centroid of a region is the geometric center. For the region shown, the centroid is the point of
intersection of the diagonals of the parallelogram.   a. Find the slope-intercept form of the line through the points (3, -6) and (1, 0).
b. Find the slope-intercept form of the line through the points (-1, -1) and (5, -5).
c. Find the centroid of the region.

Accepted Answer

The answer of The centroid of a region is the...

Graph of the solution set of the inequality. $y + x \leq 15$

Solve the system of equations by graphing. y =-3x+2 -3x =y-1 $Solve the system of equations by graphing. \begin{aligned} y & = - 3 x + 2 \\ - 3 x & = y - 1 \end{aligned}$

Graph the solution set of the inequality. $5 x \leq 7$

Solve by using either the addition method or the substitution method. 0.03x=0.04y+0.2 -0.05y=-4.4+0.04x

Solve the system by using the substitution method. y=400x-1260 y=-100x+740

Solve by using either the addition method or the substitution method. x+y=- x+y=-

Lorenzo invested $22,000 into two accounts; one pays 4% simple interest and the other pays 7% simple interest. At the end of the first year, Lorenzo's total return was $1150. How much did he Invest in each account?

In the next week, Maureen plans to work at most 50 hours, divided between 2 jobs. Let x represent the number of hours spent as a telemarketer, and let y represent the number of hours spent working As a lifeguard. Is the point (-1, 34) in the feasible region defining Maureen's work time?

Graph the solution set of the compound inequality. $x + y > 5 \text { or } y \leq - 8$

Solve the system by using the substitution method. x=-y+ y=-x+

Solve the system. If there is no unique solution, label the system as either dependent or inconsistent. -0.4x+0.5y =-3.7 0.3y-0.1z =-1.1 -0.1x+0.5z =-2.3

Solve the system of equations. -8x-7y+2z =7 x-4y+3z =-9 8x+2y-5z =10

Solve the system by using the substitution method. 5(x+3y)=15 -5x=2x-15

In the next week, Maureen plans to work at most 50 hours, divided between 2 jobs. Let x represent the number of hours spent as a telemarketer, and let y represent the number of hours spent working as a lifeguard. Find a set of inequalities to describe the constraints on Maureen's work time.

Solve the system. 9x+9y=37 -7x+11y=37

Set up the augmented matrix. -5x-3 =6z 9x-8z =9+6y 8x-3y+9z =-8

-Solve by using the substitution method. y =-5x-1 -5x+3y =-23

Solve the system of equations by graphing. x+5y=-2 y=-1 $Solve the system of equations by graphing. \begin{array} { r } x + 5 y = - 2 \\ y = - 1 \end{array}$

Which is a solution of $4 x + 5 y \leq 20$ ?

Linear Equations and Inequalities in One Variable

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Exam 3: Systems of Linear Equations and Inequalities

Graph of the solution set of the inequality. y+x≤15y + x \leq 15y+x≤15

Solve the system of equations by graphing. y =-3x+2 -3x =y-1

Graph the solution set of the inequality. 5x≤75 x \leq 75x≤7

Solve by using either the addition method or the substitution method. 0.03x=0.04y+0.2 -0.05y=-4.4+0.04x

Solve the system by using the substitution method. y=400x-1260 y=-100x+740

Solve by using either the addition method or the substitution method. x+y=- x+y=-

Lorenzo invested $22,000 into two accounts; one pays 4% simple interest and the other pays 7% simple interest. At the end of the first year, Lorenzo's total return was $1150. How much did he Invest in each account?

In the next week, Maureen plans to work at most 50 hours, divided between 2 jobs. Let x represent the number of hours spent as a telemarketer, and let y represent the number of hours spent working As a lifeguard. Is the point (-1, 34) in the feasible region defining Maureen's work time?

Graph the solution set of the compound inequality. x+y>5 or y≤−8x + y > 5 \text { or } y \leq - 8x+y>5 or y≤−8

Solve the system by using the substitution method. x=-y+ y=-x+

Solve the system. If there is no unique solution, label the system as either dependent or inconsistent. -0.4x+0.5y =-3.7 0.3y-0.1z =-1.1 -0.1x+0.5z =-2.3

Solve the system of equations. -8x-7y+2z =7 x-4y+3z =-9 8x+2y-5z =10

Solve the system by using the substitution method. 5(x+3y)=15 -5x=2x-15

In the next week, Maureen plans to work at most 50 hours, divided between 2 jobs. Let x represent the number of hours spent as a telemarketer, and let y represent the number of hours spent working as a lifeguard. Find a set of inequalities to describe the constraints on Maureen's work time.

Solve the system. 9x+9y=37 -7x+11y=37

Set up the augmented matrix. -5x-3 =6z 9x-8z =9+6y 8x-3y+9z =-8

-Solve by using the substitution method. y =-5x-1 -5x+3y =-23

Solve the system of equations by graphing. x+5y=-2 y=-1

Which is a solution of 4x+5y≤204 x + 5 y \leq 204x+5y≤20 ?

Linear Equations and Inequalities in One Variable

Linear Equations in Two Variables and Functions

Polynomials

Rational Expressions and Rational Equations

Radicals and Complex Numbers

Quadratic Equations, Functions and Inequalities

Exponential and Logarithmic Functions and Applications

Conic Sections

Binomial Expansions, Sequences, and Series

Online: Transformations, Piecewise-Defined Functions, and Probability

Filters

Graph of the solution set of the inequality. $y + x \leq 15$

Solve the system of equations by graphing. y =-3x+2 -3x =y-1 $Solve the system of equations by graphing. \begin{aligned} y & = - 3 x + 2 \\ - 3 x & = y - 1 \end{aligned}$

Graph the solution set of the inequality. $5 x \leq 7$

Graph the solution set of the compound inequality. $x + y > 5 \text { or } y \leq - 8$

Solve the system of equations by graphing. x+5y=-2 y=-1 $Solve the system of equations by graphing. \begin{array} { r } x + 5 y = - 2 \\ y = - 1 \end{array}$

Which is a solution of $4 x + 5 y \leq 20$ ?