Question 1

Find the slope of the line determined by this pair of points. (1, -6), (4, 2)

Accepted Answer

A)  $\frac { 8 } { 3 }$ 
B)  $8$ 
C)  $- \frac { 3 } { 8 }$ 
D)  $\frac { 3 } { 8 }$ 
E)  $- \frac { 8 } { 3 }$ 
A)  $\frac { 8 } { 3 }$ 
B)  $8$ 
C)  $- \frac { 3 } { 8 }$ 
D)  $\frac { 3 } { 8 }$ 
E)  $- \frac { 8 } { 3 }$

Question 2

Solve the given equation for the variable indicated. $-$ 6 x $-$ y = 8 for y

Accepted Answer

A)  $y = - 8 - 6 x$ 
B)  $y = - 8 + 6 x$ 
C)  $y = - 9 - 6 x$ 
A)  $y = - 8 - 6 x$ 
B)  $y = - 8 + 6 x$ 
C)  $y = - 9 - 6 x$

Question 3

Solve the problem by setting up and solving a system of two linear equations in two variables. Use either the elimination-by-addition or the substitution method to solve the system. One solution contains 20% alcohol and a second solution contains 30% alcohol. How many liters of each solution should be mixed to make 10 liters containing 26% alcohol?

Accepted Answer

A)  5 liters of 20% and 5 liters of 30% 
B)  4 liters of 20% and 6 liters of 30% 
C)  2 liters of 20% and 4 liters of 30% 
D)  6 liters of 20% and 4 liters of 30% 
E)  none of these 
A)  5 liters of 20% and 5 liters of 30% 
B)  4 liters of 20% and 6 liters of 30% 
C)  2 liters of 20% and 4 liters of 30% 
D)  6 liters of 20% and 4 liters of 30% 
E)  none of these

Question 4

A dependent sytem of linear equations will have more than one solution.

Accepted Answer

A) True 
 B)False

Question 5

Cindy has 30 coins, consisting of dimes and quarters, that total $5.10. How many coins of each kind does she have? Enter your answer as two numbers, listed from least to greatest, separated by a comma.

Accepted Answer

The answer of Cindy has 30 coins, consisting of dimes...

Question 6

Slope is the ratio of vertical change to the horizontal change moving from one point to another on the line.

Accepted Answer

A) True 
 B)False

Question 7

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 
4 x - 5 y = 1 \
8 x - 10 y = 5
\end{array} \right)$$

Accepted Answer

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

Question 8

Match the equations with their graphs.
-

Accepted Answer

A)  $y = x ^ { 2 } + 7$ 
B)  $y = x ^ { 2 } - 7$ 
A)  $y = x ^ { 2 } + 7$ 
B)  $y = x ^ { 2 } - 7$

Question 9

If the equation of a nonvertical line is written in slope-intercept form, the coefficient of x is the slope of the line, and the constant term is the y intercept.

Accepted Answer

A) True 
 B)False

Question 10

Solve the given equation for the variable indicated. $-$ x + 3 y = 17 for x

Accepted Answer

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

Question 11

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { l } 
3 x - 2 y = 1 \
9 x - 6 y = 7
\end{array} \right)$$

Accepted Answer

A)  $\{ ( x , y ) \mid 3 x - 2 y = 1 \}$ 
B)  $( - 7,7 )$ 
C)  $( 7,6 )$ 
D)  $( 4 , - 3 )$ 
E)  inconsistent 
A)  $\{ ( x , y ) \mid 3 x - 2 y = 1 \}$ 
B)  $( - 7,7 )$ 
C)  $( 7,6 )$ 
D)  $( 4 , - 3 )$ 
E)  inconsistent

Question 12

The perimeter of a rectangle is 62 inches. The length of the rectangle is 9 inches more than the width. Find the width of the rectangle.

Accepted Answer

The answer of The perimeter of a rectangle is 62...

Question 13

Find the equation of the line that contains the given point and has the given slope. Express equation in the form $A x + B y = C$ , where A , B , and C are integers. $( 4,7 ) , m = \frac { 4 } { 7 }$

Accepted Answer

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

Question 14

Solve the given equation for the variable indicated. 7 x + 8 y = 1 for x

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

Match the equations with their graphs.
-

Accepted Answer

A)  $y = - 4 x + 2$ 
B)  $y = - 4 x - 2$ 
C)  $y = 4 x + 2$ 
A)  $y = - 4 x + 2$ 
B)  $y = - 4 x - 2$ 
C)  $y = 4 x + 2$

Question 17

Which graph illustrates the inequality $y + 7 \leq \frac { 1 } { 6 } x$ ?

Accepted Answer

A)    
B)    
A)    
B)

Question 18

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 19

Decide which of the given ordered pairs is a solution of the given system of equations. $$\left( \begin{array} { c } 
y = - 3 x + 10 \
4 x + 5 y = 17
\end{array} \right)$$

Accepted Answer

A)  (3, 1) 
B)  (4, -1) 
C)  (6, 2) 
A)  (3, 1) 
B)  (4, -1) 
C)  (6, 2)

Question 20

Solve the system by graphing if possible. $$\left\{ \begin{array} { l } 
3 x - y = - 8 \
2 x + y = - 7
\end{array} \right.$$

Accepted Answer

A)    $x = - 3 , y = - 1$ 
B)    dependent system 
C)    inconsistent system 
D)    $x = - 3 , y = 1$ 
E)    $x = 3 , y = - 1$ 
A)    $x = - 3 , y = - 1$ 
B)    dependent system 
C)    inconsistent system 
D)    $x = - 3 , y = 1$ 
E)    $x = 3 , y = - 1$

Find the slope of the line determined by this pair of points. (1, -6), (4, 2)

Solve the given equation for the variable indicated. $-$ 6 x $-$ y = 8 for y

A dependent sytem of linear equations will have more than one solution.

Cindy has 30 coins, consisting of dimes and quarters, that total $5.10. How many coins of each kind does she have? Enter your answer as two numbers, listed from least to greatest, separated by a comma.

Slope is the ratio of vertical change to the horizontal change moving from one point to another on the line.

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } 4 x - 5 y = 1 \\8 x - 10 y = 5\end{array} \right)$

Match the equations with their graphs. -

If the equation of a nonvertical line is written in slope-intercept form, the coefficient of x is the slope of the line, and the constant term is the y intercept.

Solve the given equation for the variable indicated. $-$ x + 3 y = 17 for x

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { l } 3 x - 2 y = 1 \\9 x - 6 y = 7\end{array} \right)$

The perimeter of a rectangle is 62 inches. The length of the rectangle is 9 inches more than the width. Find the width of the rectangle.

Find the equation of the line that contains the given point and has the given slope. Express equation in the form $A x + B y = C$ , where A , B , and C are integers. $( 4,7 ) , m = \frac { 4 } { 7 }$

Solve the given equation for the variable indicated. 7 x + 8 y = 1 for x

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

Match the equations with their graphs. -

Which graph illustrates the inequality $y + 7 \leq \frac { 1 } { 6 } x$ ?

Match the equations with their graphs. -

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { c } y = - 3 x + 10 \\4 x + 5 y = 17\end{array} \right)$

Solve the system by graphing if possible. $\left\{ \begin{array} { l } 3 x - y = - 8 \\2 x + y = - 7\end{array} \right.$

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

Find the slope of the line determined by this pair of points. (1, -6), (4, 2)

Solve the given equation for the variable indicated. −-− 6 x −-− y = 8 for y

A dependent sytem of linear equations will have more than one solution.

Cindy has 30 coins, consisting of dimes and quarters, that total $5.10. How many coins of each kind does she have? Enter your answer as two numbers, listed from least to greatest, separated by a comma.

Slope is the ratio of vertical change to the horizontal change moving from one point to another on the line.

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. (4x−5y=18x−10y=5)\left( \begin{array} { c } 4 x - 5 y = 1 \\8 x - 10 y = 5\end{array} \right)(4x−5y=18x−10y=5​)

Match the equations with their graphs. -

If the equation of a nonvertical line is written in slope-intercept form, the coefficient of x is the slope of the line, and the constant term is the y intercept.

Solve the given equation for the variable indicated. −-− x + 3 y = 17 for x

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. (3x−2y=19x−6y=7)\left( \begin{array} { l } 3 x - 2 y = 1 \\9 x - 6 y = 7\end{array} \right)(3x−2y=19x−6y=7​)

The perimeter of a rectangle is 62 inches. The length of the rectangle is 9 inches more than the width. Find the width of the rectangle.

Find the equation of the line that contains the given point and has the given slope. Express equation in the form Ax+By=CA x + B y = CAx+By=C , where A , B , and C are integers. (4,7),m=47( 4,7 ) , m = \frac { 4 } { 7 }(4,7),m=74​

Solve the given equation for the variable indicated. 7 x + 8 y = 1 for x

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

Match the equations with their graphs. -

Which graph illustrates the inequality y+7≤16xy + 7 \leq \frac { 1 } { 6 } xy+7≤61​x ?

Match the equations with their graphs. -

Decide which of the given ordered pairs is a solution of the given system of equations. (y=−3x+104x+5y=17)\left( \begin{array} { c } y = - 3 x + 10 \\4 x + 5 y = 17\end{array} \right)(y=−3x+104x+5y=17​)

Solve the system by graphing if possible. {3x−y=−82x+y=−7\left\{ \begin{array} { l } 3 x - y = - 8 \\2 x + y = - 7\end{array} \right.{3x−y=−82x+y=−7​

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

Solve the given equation for the variable indicated. $-$ 6 x $-$ y = 8 for y

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } 4 x - 5 y = 1 \\8 x - 10 y = 5\end{array} \right)$

Solve the given equation for the variable indicated. $-$ x + 3 y = 17 for x

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { l } 3 x - 2 y = 1 \\9 x - 6 y = 7\end{array} \right)$

Find the equation of the line that contains the given point and has the given slope. Express equation in the form $A x + B y = C$ , where A , B , and C are integers. $( 4,7 ) , m = \frac { 4 } { 7 }$

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

Which graph illustrates the inequality $y + 7 \leq \frac { 1 } { 6 } x$ ?

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { c } y = - 3 x + 10 \\4 x + 5 y = 17\end{array} \right)$

Solve the system by graphing if possible. $\left\{ \begin{array} { l } 3 x - y = - 8 \\2 x + y = - 7\end{array} \right.$