Question 1

Match the equations with their graphs.
-

Accepted Answer

A)  $y = - x ^ { 3 }$ 
B)  $y = - x ^ { 2 }$ 
C)  $y = 4 x ^ { 3 }$ 
A)  $y = - x ^ { 3 }$ 
B)  $y = - x ^ { 2 }$ 
C)  $y = 4 x ^ { 3 }$

Question 2

Find the equation of the line that contains the two given points. (-5, -1), (-2, -3)

Accepted Answer

A)  2 x $-$ 3 y = 13 
B)  2 x $-$ 3 y = 13. 
C)  2 x + 3 y = 13 
D)  2 x + 3 y = -13 
A)  2 x $-$ 3 y = 13 
B)  2 x $-$ 3 y = 13. 
C)  2 x + 3 y = 13 
D)  2 x + 3 y = -13

Question 3

Find the slope of the line determined by this pair of points. (1, $-$ 8), ( $-$ 10, $-$ 8)

Accepted Answer

The answer of Find the slope of the line determined...

Question 4

Determine the slope of the line represented by the given equation. $y = - 5 x - 8$

Accepted Answer

A)  $m = - 5$ 
B)  $m = 8$ 
C)  $m = 5$ 
D)  $m = \frac { 5 } { 8 }$ 
E)  $m = - 8$ 
A)  $m = - 5$ 
B)  $m = 8$ 
C)  $m = 5$ 
D)  $m = \frac { 5 } { 8 }$ 
E)  $m = - 8$

Question 5

Match the following inequalities with the corresponding graph.
-

Accepted Answer

A)  $y \leq \frac { 1 } { 3 } x - 7$ 
B)  $y \geq \frac { 1 } { 3 } x - 7$ 
C)  $y \leq - \frac { 1 } { 4 } x + 9$ 
D)  $y \geq - \frac { 1 } { 4 } x + 9$ 
A)  $y \leq \frac { 1 } { 3 } x - 7$ 
B)  $y \geq \frac { 1 } { 3 } x - 7$ 
C)  $y \leq - \frac { 1 } { 4 } x + 9$ 
D)  $y \geq - \frac { 1 } { 4 } x + 9$

Question 6

Find the slope of the line determined by this pair of points. (4, $-$ 5), (10, $-$ 5)

Accepted Answer

The answer of Find the slope of the line determined...

Question 7

Find the equation of the line that contains the given point and has the given slope. Express the equation in the form $A x + B y = C$ , where A , B , and C are integers. $( - 2 , - 1 ) , m = - \frac { 8 } { 9 }$

Accepted Answer

The answer of Find the equation of the line that...

Question 8

Find the equation of the line that contains the two given points. $( 0,0 ) , ( - 8 , - 3 )$

Accepted Answer

A)  8 y $-$ 3 x = 0 
B)  8 y + 3 x = 0 
C)  8 y $-$ 3 x = 73 
D)  3 x $-$ 8 y = 0 
E)  8 y + 3 x = 73 
A)  8 y $-$ 3 x = 0 
B)  8 y + 3 x = 0 
C)  8 y $-$ 3 x = 73 
D)  3 x $-$ 8 y = 0 
E)  8 y + 3 x = 73

Question 9

Solve the system by using the substitution method. $$\left( \begin{array} { l } 
x - 6 y = 28 \
- 5 x + 8 y = - 30
\end{array} \right)$$ Please enter your answer as an ordered pair in the form ( x , y ).

Accepted Answer

The answer of Solve the system by using the substitution...

Question 10

Solve the given equation for the variable indicated. $-$ x + 5 y = 4 for y

Accepted Answer

A)  $y = \frac { 4 + x } { 5 }$ 
B)  $y = \frac { 5 + x } { 5 }$ 
C)  $y = \frac { 5 + x } { 4 }$ 
A)  $y = \frac { 4 + x } { 5 }$ 
B)  $y = \frac { 5 + x } { 5 }$ 
C)  $y = \frac { 5 + x } { 4 }$

Question 11

Graph the linear equation. $3 x + y = 4$

Accepted Answer

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

Question 12

What graph illustrates the inequality $4 x - 5 y \leq 10$ ?

Accepted Answer

A)    
B)    
A)    
B)

Question 13

Solve the system by using the substitution method. $$\left( \begin{array} { c } 
5 x - y = 11 \
x = \frac { 1 } { 2 } y - 2
\end{array} \right)$$

Accepted Answer

A)  (14, 5) 
B)  (5, 8.4) 
C)  (5, 14) 
D)  infinitely many solutions 
E)  no solutions 
A)  (14, 5) 
B)  (5, 8.4) 
C)  (5, 14) 
D)  infinitely many solutions 
E)  no solutions

Question 14

Determine the slope of the line represented by the given equation. 2 x + 11 y = 5

Accepted Answer

A)  $\frac { 2 } { 11 }$ 
B)  $\frac { 11 } { 2 }$ 
C)  $- \frac { 11 } { 2 }$ 
D)  $- \frac { 2 } { 11 }$ 
A)  $\frac { 2 } { 11 }$ 
B)  $\frac { 11 } { 2 }$ 
C)  $- \frac { 11 } { 2 }$ 
D)  $- \frac { 2 } { 11 }$

Question 15

Find x if the line through the points (2, 1) and ( x , 2) has a slope of $- \frac { 3 } { 5 }$ .

Accepted Answer

A)  x = 3 
B)  x = -6 
C)  x = -3 
D)  x = 6 
E)  x = 7 
A)  x = 3 
B)  x = -6 
C)  x = -3 
D)  x = 6 
E)  x = 7

Question 16

Solve the given equation for the variable indicated. $-$ 3 x $-$ y = 2 for y

Accepted Answer

The answer of Solve the given equation for the variable...

Question 17

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 
2 x - 3 y = 4 \
y = \frac { 2 } { 3 } x - \frac { 4 } { 3 }
\end{array} \right)$$

Accepted Answer

The answer of Solve each system by using either the...

Question 18

What inequality is illustrated below?

Accepted Answer

A)  $y \leq 4 x$ 
B)  $y  4 x$ 
D)  $y \geq 4 x$ 
A)  $y \leq 4 x$ 
B)  $y  4 x$ 
D)  $y \geq 4 x$

Question 19

Solve the system by using the substitution method. $$\left( \begin{array} { l } 
4 x - 5 y = - 5 \
8 x + 15 y = 25
\end{array} \right)$$ Please enter your answer as an ordered pair in the form ( x , y ).

Accepted Answer

The answer of Solve the system by using the substitution...

Question 20

If the numerator of a certain fraction is increased by 4 and the denominator is decreased by 2, the resulting fraction is $\frac { 8 } { 5 }$ . However, if the numerator of the original fraction is doubled and the denominator is increased by 7, the resulting fraction is $\frac { 4 } { 7 }$ . Find the original fraction.

Accepted Answer

A)  $\frac { 4 } { 7 }$ 
B)  $\frac { 3 } { 7 }$ 
C)  $\frac { 6 } { 7 }$ 
D)  $\frac { 3 } { 5 }$ 
E)  $\frac { 4 } { 5 }$ 
A)  $\frac { 4 } { 7 }$ 
B)  $\frac { 3 } { 7 }$ 
C)  $\frac { 6 } { 7 }$ 
D)  $\frac { 3 } { 5 }$ 
E)  $\frac { 4 } { 5 }$

Match the equations with their graphs. -

Find the equation of the line that contains the two given points. (-5, -1), (-2, -3)

Find the slope of the line determined by this pair of points. (1, $-$ 8), ( $-$ 10, $-$ 8)

Determine the slope of the line represented by the given equation. $y = - 5 x - 8$

Match the following inequalities with the corresponding graph. -

Find the slope of the line determined by this pair of points. (4, $-$ 5), (10, $-$ 5)

Find the equation of the line that contains the given point and has the given slope. Express the equation in the form $A x + B y = C$ , where A , B , and C are integers. $( - 2 , - 1 ) , m = - \frac { 8 } { 9 }$

Find the equation of the line that contains the two given points. $( 0,0 ) , ( - 8 , - 3 )$

Solve the system by using the substitution method. $\left( \begin{array} { l } x - 6 y = 28 \\- 5 x + 8 y = - 30\end{array} \right)$ Please enter your answer as an ordered pair in the form ( x , y ).

Solve the given equation for the variable indicated. $-$ x + 5 y = 4 for y

Graph the linear equation. $3 x + y = 4$

What graph illustrates the inequality $4 x - 5 y \leq 10$ ?

Solve the system by using the substitution method. $\left( \begin{array} { c } 5 x - y = 11 \\x = \frac { 1 } { 2 } y - 2\end{array} \right)$

Determine the slope of the line represented by the given equation. 2 x + 11 y = 5

Find x if the line through the points (2, 1) and ( x , 2) has a slope of $- \frac { 3 } { 5 }$ .

Solve the given equation for the variable indicated. $-$ 3 x $-$ y = 2 for y

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } 2 x - 3 y = 4 \\y = \frac { 2 } { 3 } x - \frac { 4 } { 3 }\end{array} \right)$

What inequality is illustrated below?

Solve the system by using the substitution method. $\left( \begin{array} { l } 4 x - 5 y = - 5 \\8 x + 15 y = 25\end{array} \right)$ Please enter your answer as an ordered pair in the form ( x , y ).

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 5: Coordinate Geometry and Linear Systems

Match the equations with their graphs. -

Find the equation of the line that contains the two given points. (-5, -1), (-2, -3)

Find the slope of the line determined by this pair of points. (1, −-− 8), ( −-− 10, −-− 8)

Determine the slope of the line represented by the given equation. y=−5x−8y = - 5 x - 8y=−5x−8

Match the following inequalities with the corresponding graph. -

Find the slope of the line determined by this pair of points. (4, −-− 5), (10, −-− 5)

Find the equation of the line that contains the given point and has the given slope. Express the equation in the form Ax+By=CA x + B y = CAx+By=C , where A , B , and C are integers. (−2,−1),m=−89( - 2 , - 1 ) , m = - \frac { 8 } { 9 }(−2,−1),m=−98​

Find the equation of the line that contains the two given points. (0,0),(−8,−3)( 0,0 ) , ( - 8 , - 3 )(0,0),(−8,−3)

Solve the system by using the substitution method. (x−6y=28−5x+8y=−30)\left( \begin{array} { l } x - 6 y = 28 \\- 5 x + 8 y = - 30\end{array} \right)(x−6y=28−5x+8y=−30​) Please enter your answer as an ordered pair in the form ( x , y ).

Solve the given equation for the variable indicated. −-− x + 5 y = 4 for y

Graph the linear equation. 3x+y=43 x + y = 43x+y=4

What graph illustrates the inequality 4x−5y≤104 x - 5 y \leq 104x−5y≤10 ?

Solve the system by using the substitution method. (5x−y=11x=12y−2)\left( \begin{array} { c } 5 x - y = 11 \\x = \frac { 1 } { 2 } y - 2\end{array} \right)(5x−y=11x=21​y−2​)

Determine the slope of the line represented by the given equation. 2 x + 11 y = 5

Find x if the line through the points (2, 1) and ( x , 2) has a slope of −35- \frac { 3 } { 5 }−53​ .

Solve the given equation for the variable indicated. −-− 3 x −-− y = 2 for y

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. (2x−3y=4y=23x−43)\left( \begin{array} { c } 2 x - 3 y = 4 \\y = \frac { 2 } { 3 } x - \frac { 4 } { 3 }\end{array} \right)(2x−3y=4y=32​x−34​​)

What inequality is illustrated below?

Solve the system by using the substitution method. (4x−5y=−58x+15y=25)\left( \begin{array} { l } 4 x - 5 y = - 5 \\8 x + 15 y = 25\end{array} \right)(4x−5y=−58x+15y=25​) Please enter your answer as an ordered pair in the form ( x , y ).

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Find the slope of the line determined by this pair of points. (1, $-$ 8), ( $-$ 10, $-$ 8)

Determine the slope of the line represented by the given equation. $y = - 5 x - 8$

Find the slope of the line determined by this pair of points. (4, $-$ 5), (10, $-$ 5)

Find the equation of the line that contains the given point and has the given slope. Express the equation in the form $A x + B y = C$ , where A , B , and C are integers. $( - 2 , - 1 ) , m = - \frac { 8 } { 9 }$

Find the equation of the line that contains the two given points. $( 0,0 ) , ( - 8 , - 3 )$

Solve the system by using the substitution method. $\left( \begin{array} { l } x - 6 y = 28 \\- 5 x + 8 y = - 30\end{array} \right)$ Please enter your answer as an ordered pair in the form ( x , y ).

Solve the given equation for the variable indicated. $-$ x + 5 y = 4 for y

Graph the linear equation. $3 x + y = 4$

What graph illustrates the inequality $4 x - 5 y \leq 10$ ?

Solve the system by using the substitution method. $\left( \begin{array} { c } 5 x - y = 11 \\x = \frac { 1 } { 2 } y - 2\end{array} \right)$

Find x if the line through the points (2, 1) and ( x , 2) has a slope of $- \frac { 3 } { 5 }$ .

Solve the given equation for the variable indicated. $-$ 3 x $-$ y = 2 for y

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } 2 x - 3 y = 4 \\y = \frac { 2 } { 3 } x - \frac { 4 } { 3 }\end{array} \right)$

Solve the system by using the substitution method. $\left( \begin{array} { l } 4 x - 5 y = - 5 \\8 x + 15 y = 25\end{array} \right)$ Please enter your answer as an ordered pair in the form ( x , y ).