Question 1

Determine the y -intercept of the line represented by the given equation. 5 x + 6 y = 30 y -intercept = __________

Accepted Answer

The answer of Determine the y -intercept of the line...

Question 2

Find the slope of the line y = 9 by finding the coordinates of two points on it. y = 9

Accepted Answer

A)  $\frac { 1 } { 9 }$ 
B)  0 
C)  9 
D)  $\frac { 1 } { 10 }$ 
A)  $\frac { 1 } { 9 }$ 
B)  0 
C)  9 
D)  $\frac { 1 } { 10 }$

Question 3

What graph illustrates the inequality $6 x - 3 y \leq 10$ ?

Accepted Answer

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

Question 4

Solve the system by using the substitution method. $$\left( \begin{array} { c } 
4 x - 12 y = - 16 \
2 x - 6 y = - 8
\end{array} \right)$$

Accepted Answer

A)  $( 5 , - 6 )$ 
B)  $\{ ( x , y ) \mid 4 x - 12 y = - 16 \}$ 
C)  $( 16,0 )$ 
D)  $( - 7,7 )$ 
E)  inconsistent 
A)  $( 5 , - 6 )$ 
B)  $\{ ( x , y ) \mid 4 x - 12 y = - 16 \}$ 
C)  $( 16,0 )$ 
D)  $( - 7,7 )$ 
E)  inconsistent

Question 5

Find y if the line through the points (8, 12) and (4, y ) has a slope of $\frac { 7 } { 2 }$ .

Accepted Answer

The answer of Find y if the line through the...

Question 6

Graph the linear equation. $2 y + 3 x = 0$

Accepted Answer

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

Question 7

If an equivalent system for an original system is $$\left( \begin{array} { c } 
5 x + 2 y = - 3 \
0 = 0
\end{array} \right)$$ , then the original system is dependent and has infinitely many solutions.

Accepted Answer

A) True 
 B)False

Question 8

Solve the system by using the substitution method. $$\left( \begin{array} { l } 
x = - 5 y \
2 x - 2 y = - 12
\end{array} \right)$$

Accepted Answer

A)  (5, -1) 
B)  (1, -5) 
C)  (-5, 1) 
D)  infinitely many solutions 
E)  no solutions 
A)  (5, -1) 
B)  (1, -5) 
C)  (-5, 1) 
D)  infinitely many solutions 
E)  no solutions

Question 9

Solve the given equation for the variable indicated. x $-$ 2 y = 6 for x

Accepted Answer

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

Question 10

Determine which of the ordered pairs satisfy the given equation and then graph the equation by plotting the points that satisfy the equation. $y = \frac { 3 } { 5 } x - \frac { 1 } { 5 } ; \left( 1 , \frac { 2 } { 5 } \right) , \left( - 3 , \frac { 1 } { 5 } \right) , \left( - 1 , - \frac { 4 } { 5 } \right) , \left( 2 , \frac { 1 } { 5 } \right) , ( - 3 , - 2 )$

Accepted Answer

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

Question 11

Use the elimination-by-addition method to solve the system. $$\left( \begin{array} { c } 
x - 8 y = 65 \
4 x + 4 y = - 28
\end{array} \right)$$

Accepted Answer

A)  ( -8, 1) 
B)  ( 1, 8) 
C)  ( 1, -8) 
D)  infinitely many solutions 
E)  no solutions 
A)  ( -8, 1) 
B)  ( 1, 8) 
C)  ( 1, -8) 
D)  infinitely many solutions 
E)  no solutions

Question 12

Find the equation of the line that contains the two given points. (6, 1), (12, 8)

Accepted Answer

A)  7 x $-$ 6 y = 36 
B)  7 x $-$ 6 y = 36. 
C)  7 x + 6 y = -36 
D)  7 x + 6 y = 36 
A)  7 x $-$ 6 y = 36 
B)  7 x $-$ 6 y = 36. 
C)  7 x + 6 y = -36 
D)  7 x + 6 y = 36

Question 13

Write the equation of the line that satisfies the given condition: contains the point (4, -2) and is perpendicular to the y axis. Simplify your answer as much as possible. Express the final equation in standard form.

Accepted Answer

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

Question 14

Match the equations with their graphs.
-

Accepted Answer

A)  $3 x - 5 y = 12$ 
B)  $5 x - 3 y = 12$ 
C)  $3 x + 5 y = 12$ 
A)  $3 x - 5 y = 12$ 
B)  $5 x - 3 y = 12$ 
C)  $3 x + 5 y = 12$

Question 15

Which graph illustrates the inequality $y \geq - x + 3$ ?

Accepted Answer

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

Question 16

Cindy has 60 coins, consisting of dimes and quarters, that total $10.35. How many coins of each kind does she have?

Accepted Answer

A)  29 quarters and 31 dimes 
B)  31 quarters and 29 dimes 
C)  28 quarters and 32 dimes 
A)  29 quarters and 31 dimes 
B)  31 quarters and 29 dimes 
C)  28 quarters and 32 dimes

Question 17

Find the equation of the line that contains the given point and has the given slope. $m = \frac { 3 } { 2 } , ( 1,2 )$

Accepted Answer

A)  3 x - 2 y = -1 
B)  3 x - 2 y = 1 
C)  $-$ 3 x - 2 y = 1 
D)  3 x + 2 y = -1 
A)  3 x - 2 y = -1 
B)  3 x - 2 y = 1 
C)  $-$ 3 x - 2 y = 1 
D)  3 x + 2 y = -1

Question 18

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 
5 x - 3 y = 2 \
y = \frac { 5 } { 3 } x - \frac { 2 } { 3 }
\end{array} \right)$$

Accepted Answer

A)  $( 4,4 )$ 
B)  $( 3 , - 4 )$ 
C)  $\{ ( x , y ) \mid 5 x - 3 y = 2 \}$ 
D)  $( - 5,5 )$ 
E)  inconsistent 
A)  $( 4,4 )$ 
B)  $( 3 , - 4 )$ 
C)  $\{ ( x , y ) \mid 5 x - 3 y = 2 \}$ 
D)  $( - 5,5 )$ 
E)  inconsistent

Question 19

Solve the given equation for the variable indicated. $-$ 9 x + y = 9 for x

Accepted Answer

A)  $x = \frac { - 9 + y } { 9 }$ 
B)  $x = \frac { - 10 + y } { 9 }$ 
C)  $x = \frac { - 9 + y } { 10 }$ 
A)  $x = \frac { - 9 + y } { 9 }$ 
B)  $x = \frac { - 10 + y } { 9 }$ 
C)  $x = \frac { - 9 + y } { 10 }$

Question 20

Solve the system by using the substitution method. $$\left( \begin{array} { c } 
x + 2 y = 5 \
2 x + 4 y = - 1
\end{array} \right)$$

Accepted Answer

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

Determine the y -intercept of the line represented by the given equation. 5 x + 6 y = 30 y -intercept = __________

Find the slope of the line y = 9 by finding the coordinates of two points on it. y = 9

What graph illustrates the inequality $6 x - 3 y \leq 10$ ?

Solve the system by using the substitution method. $\left( \begin{array} { c } 4 x - 12 y = - 16 \\2 x - 6 y = - 8\end{array} \right)$

Find y if the line through the points (8, 12) and (4, y ) has a slope of $\frac { 7 } { 2 }$ .

Graph the linear equation. $2 y + 3 x = 0$

If an equivalent system for an original system is $\left( \begin{array} { c } 5 x + 2 y = - 3 \\0 = 0\end{array} \right)$ , then the original system is dependent and has infinitely many solutions.

Solve the system by using the substitution method. $\left( \begin{array} { l } x = - 5 y \\2 x - 2 y = - 12\end{array} \right)$

Solve the given equation for the variable indicated. x $-$ 2 y = 6 for x

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } x - 8 y = 65 \\4 x + 4 y = - 28\end{array} \right)$

Find the equation of the line that contains the two given points. (6, 1), (12, 8)

Write the equation of the line that satisfies the given condition: contains the point (4, -2) and is perpendicular to the y axis. Simplify your answer as much as possible. Express the final equation in standard form.

Match the equations with their graphs. -

Which graph illustrates the inequality $y \geq - x + 3$ ?

Cindy has 60 coins, consisting of dimes and quarters, that total $10.35. How many coins of each kind does she have?

Find the equation of the line that contains the given point and has the given slope. $m = \frac { 3 } { 2 } , ( 1,2 )$

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } 5 x - 3 y = 2 \\y = \frac { 5 } { 3 } x - \frac { 2 } { 3 }\end{array} \right)$

Solve the given equation for the variable indicated. $-$ 9 x + y = 9 for x

Solve the system by using the substitution method. $\left( \begin{array} { c } x + 2 y = 5 \\2 x + 4 y = - 1\end{array} \right)$

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

Determine the y -intercept of the line represented by the given equation. 5 x + 6 y = 30 y -intercept = __________

Find the slope of the line y = 9 by finding the coordinates of two points on it. y = 9

What graph illustrates the inequality 6x−3y≤106 x - 3 y \leq 106x−3y≤10 ?

Solve the system by using the substitution method. (4x−12y=−162x−6y=−8)\left( \begin{array} { c } 4 x - 12 y = - 16 \\2 x - 6 y = - 8\end{array} \right)(4x−12y=−162x−6y=−8​)

Find y if the line through the points (8, 12) and (4, y ) has a slope of 72\frac { 7 } { 2 }27​ .

Graph the linear equation. 2y+3x=02 y + 3 x = 02y+3x=0

If an equivalent system for an original system is (5x+2y=−30=0)\left( \begin{array} { c } 5 x + 2 y = - 3 \\0 = 0\end{array} \right)(5x+2y=−30=0​) , then the original system is dependent and has infinitely many solutions.

Solve the system by using the substitution method. (x=−5y2x−2y=−12)\left( \begin{array} { l } x = - 5 y \\2 x - 2 y = - 12\end{array} \right)(x=−5y2x−2y=−12​)

Solve the given equation for the variable indicated. x −-− 2 y = 6 for x

Use the elimination-by-addition method to solve the system. (x−8y=654x+4y=−28)\left( \begin{array} { c } x - 8 y = 65 \\4 x + 4 y = - 28\end{array} \right)(x−8y=654x+4y=−28​)

Find the equation of the line that contains the two given points. (6, 1), (12, 8)

Write the equation of the line that satisfies the given condition: contains the point (4, -2) and is perpendicular to the y axis. Simplify your answer as much as possible. Express the final equation in standard form.

Match the equations with their graphs. -

Which graph illustrates the inequality y≥−x+3y \geq - x + 3y≥−x+3 ?

Cindy has 60 coins, consisting of dimes and quarters, that total $10.35. How many coins of each kind does she have?

Find the equation of the line that contains the given point and has the given slope. m=32,(1,2)m = \frac { 3 } { 2 } , ( 1,2 )m=23​,(1,2)

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. (5x−3y=2y=53x−23)\left( \begin{array} { c } 5 x - 3 y = 2 \\y = \frac { 5 } { 3 } x - \frac { 2 } { 3 }\end{array} \right)(5x−3y=2y=35​x−32​​)

Solve the given equation for the variable indicated. −-− 9 x + y = 9 for x

Solve the system by using the substitution method. (x+2y=52x+4y=−1)\left( \begin{array} { c } x + 2 y = 5 \\2 x + 4 y = - 1\end{array} \right)(x+2y=52x+4y=−1​)

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

What graph illustrates the inequality $6 x - 3 y \leq 10$ ?

Solve the system by using the substitution method. $\left( \begin{array} { c } 4 x - 12 y = - 16 \\2 x - 6 y = - 8\end{array} \right)$

Find y if the line through the points (8, 12) and (4, y ) has a slope of $\frac { 7 } { 2 }$ .

Graph the linear equation. $2 y + 3 x = 0$

If an equivalent system for an original system is $\left( \begin{array} { c } 5 x + 2 y = - 3 \\0 = 0\end{array} \right)$ , then the original system is dependent and has infinitely many solutions.

Solve the system by using the substitution method. $\left( \begin{array} { l } x = - 5 y \\2 x - 2 y = - 12\end{array} \right)$

Solve the given equation for the variable indicated. x $-$ 2 y = 6 for x

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } x - 8 y = 65 \\4 x + 4 y = - 28\end{array} \right)$

Which graph illustrates the inequality $y \geq - x + 3$ ?

Find the equation of the line that contains the given point and has the given slope. $m = \frac { 3 } { 2 } , ( 1,2 )$

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } 5 x - 3 y = 2 \\y = \frac { 5 } { 3 } x - \frac { 2 } { 3 }\end{array} \right)$

Solve the given equation for the variable indicated. $-$ 9 x + y = 9 for x

Solve the system by using the substitution method. $\left( \begin{array} { c } x + 2 y = 5 \\2 x + 4 y = - 1\end{array} \right)$