Question 1

Graph the inequality. $y \geq - x + 4$

Accepted Answer

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

Question 2

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 
\frac { 2 x } { 3 } - \frac { 3 y } { 4 } = 81 \
\frac { 11 x } { 6 } + \frac { y } { 5 } = 87
\end{array} \right)$$

Accepted Answer

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

Question 3

Graph the linear inequality. $x - y \geq 2$

Accepted Answer

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

Question 4

The system of associating points with ordered pairs of numbers is called the rectangular coordinate system.

Accepted Answer

A) True 
 B)False

Question 5

Find the equation of the line that contains the given point and has the given slope. $( - 6,5 ) , m = 0$

Accepted Answer

A)  x = $-$ 6 
B)  y = 5 
C)  y = $-$ 6 
D)  y = $-$ 5 
E)  x = 5 
A)  x = $-$ 6 
B)  y = 5 
C)  y = $-$ 6 
D)  y = $-$ 5 
E)  x = 5

Question 6

Find the slope of the line 5 x + 3 y = 3 by finding the coordinates of two points on it.

Accepted Answer

The answer of Find the slope of the line 5...

Question 7

What graph illustrates the inequality $8 x - 7 y \leq 12$ ?

Accepted Answer

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

Question 8

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. $( - 3 , - 5 ) , m = \frac { 1 } { 4 }$

Accepted Answer

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

Question 9

If the numerator of a certain fraction is increased by 5 and the denominator is decreased by 3, the resulting fraction is $\frac { 10 } { 3 }$ . However, if the numerator of the original fraction is doubled and the denominator is increased by 7, the resulting fraction is $\frac { 10 } { 13 }$ . Find the original fraction.

Accepted Answer

The answer of If the numerator of a certain fraction...

Question 10

In the standard form of the equation of a line $A x + B y = C , \frac { A } { B }$ is the slope.

Accepted Answer

A) True 
 B)False

Question 11

Write the equation of the line that satisfies the given condition: contains the point (10, -3) and is perpendicular to the line 4 x + 3 y = -8.

Accepted Answer

A)  3 x + 4 y = 42 
B)  3 x - 4 y = 42 
C)  3 x - 4 y = 18 
D)  3 x + 4 y = 18 
A)  3 x + 4 y = 42 
B)  3 x - 4 y = 42 
C)  3 x - 4 y = 18 
D)  3 x + 4 y = 18

Question 12

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 
3 x - y = 7 \
5 x + 10 y = 1
\end{array} \right)$$

Accepted Answer

A)  $\left( \frac { 71 } { 35 } , \frac { 32 } { 35 } \right)$ 
B)  $\left( - \frac { 71 } { 35 } , \frac { 32 } { 35 } \right)$ 
C)  $\left( \frac { 71 } { 35 } , - \frac { 32 } { 35 } \right)$ 
D)  no solutions 
E)  infinitely many solutions 
A)  $\left( \frac { 71 } { 35 } , \frac { 32 } { 35 } \right)$ 
B)  $\left( - \frac { 71 } { 35 } , \frac { 32 } { 35 } \right)$ 
C)  $\left( \frac { 71 } { 35 } , - \frac { 32 } { 35 } \right)$ 
D)  no solutions 
E)  infinitely many solutions

Question 13

Use the graphing method to solve the system. $$\left( \begin{array} { l } 
y = 4 - 3 x \
y = 5 - 4 x
\end{array} \right)$$

Accepted Answer

A)  $( 0,4 )$ 
B)  $( - 3,13 )$ 
C)  $( - 1,7 )$ 
D)  $( 1,1 )$ 
E)  $( - 2,10 )$ 
A)  $( 0,4 )$ 
B)  $( - 3,13 )$ 
C)  $( - 1,7 )$ 
D)  $( 1,1 )$ 
E)  $( - 2,10 )$

Question 14

A blueprint indicates a master bedroom in the shape of a rectangle. If the width is increased by 5 feet and the length remains the same, then the area is increased by 100 square feet. However, if the width is increased by 3 feet and the length is increased by 4 feet, then the area is increased by 140 square feet. Find the dimensions of the room as indicated on the blueprint.

Accepted Answer

A)  width 16 feet and length 21 feet 
B)  width 19 feet and length 19 feet 
C)  width 17 feet and length 20 feet 
A)  width 16 feet and length 21 feet 
B)  width 19 feet and length 19 feet 
C)  width 17 feet and length 20 feet

Question 15

Write the equation of the line that satisfies the given condition: x intercept of 1 and slope of $\frac { 5 } { 8 }$ . 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 16

The system $$\left( \begin{array} { l } 
2 x + 5 y = 6 \
2 x + 5 y = - 6
\end{array} \right)$$ has the null set for its solution.

Accepted Answer

A) True 
 B)False

Question 17

Graph the line that passes through the given point and has the given slope. $( 1 , - 4 ) , m = - 2$

Accepted Answer

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

Question 18

Doris invested some money at 7% and some money at 8%. She invested $5,000 more at 8% than she did at 7%. Her total yearly interest from the two investments was $850. How much did Doris invest at each rate?

Accepted Answer

A)  $4,000 at 7%, $8,000 at 8% 
B)  $3,000 at 7%, $9,000 at 8% 
C)  $3,000 at 7%, $8,000 at 8% 
A)  $4,000 at 7%, $8,000 at 8% 
B)  $3,000 at 7%, $9,000 at 8% 
C)  $3,000 at 7%, $8,000 at 8%

Question 19

Match the equations with their graphs.
-

Accepted Answer

A)  $x + 3 y = 6$ 
B)  $x + 3 y = 12$ 
C)  $x + 2 y = 2$ 
A)  $x + 3 y = 6$ 
B)  $x + 3 y = 12$ 
C)  $x + 2 y = 2$

Question 20

Match the equations with their graphs.
-

Accepted Answer

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

Graph the inequality. $y \geq - x + 4$

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } \frac { 2 x } { 3 } - \frac { 3 y } { 4 } = 81 \\\frac { 11 x } { 6 } + \frac { y } { 5 } = 87\end{array} \right)$

Graph the linear inequality. $x - y \geq 2$

The system of associating points with ordered pairs of numbers is called the rectangular coordinate system.

Find the equation of the line that contains the given point and has the given slope. $( - 6,5 ) , m = 0$

Find the slope of the line 5 x + 3 y = 3 by finding the coordinates of two points on it.

What graph illustrates the inequality $8 x - 7 y \leq 12$ ?

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. $( - 3 , - 5 ) , m = \frac { 1 } { 4 }$

In the standard form of the equation of a line $A x + B y = C , \frac { A } { B }$ is the slope.

Write the equation of the line that satisfies the given condition: contains the point (10, -3) and is perpendicular to the line 4 x + 3 y = -8.

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } 3 x - y = 7 \\5 x + 10 y = 1\end{array} \right)$

Use the graphing method to solve the system. $\left( \begin{array} { l } y = 4 - 3 x \\y = 5 - 4 x\end{array} \right)$

Write the equation of the line that satisfies the given condition: x intercept of 1 and slope of $\frac { 5 } { 8 }$ . Simplify your answer as much as possible. Express the final equation in standard form.

The system $\left( \begin{array} { l } 2 x + 5 y = 6 \\2 x + 5 y = - 6\end{array} \right)$ has the null set for its solution.

Graph the line that passes through the given point and has the given slope. $( 1 , - 4 ) , m = - 2$

Doris invested some money at 7% and some money at 8%. She invested $5,000 more at 8% than she did at 7%. Her total yearly interest from the two investments was $850. How much did Doris invest at each rate?

Match the equations with their graphs. -

Match the equations with their graphs. -

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

Graph the inequality. y≥−x+4y \geq - x + 4y≥−x+4

Graph the linear inequality. x−y≥2x - y \geq 2x−y≥2

The system of associating points with ordered pairs of numbers is called the rectangular coordinate system.

Find the equation of the line that contains the given point and has the given slope. (−6,5),m=0( - 6,5 ) , m = 0(−6,5),m=0

Find the slope of the line 5 x + 3 y = 3 by finding the coordinates of two points on it.

What graph illustrates the inequality 8x−7y≤128 x - 7 y \leq 128x−7y≤12 ?

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. (−3,−5),m=14( - 3 , - 5 ) , m = \frac { 1 } { 4 }(−3,−5),m=41​

In the standard form of the equation of a line Ax+By=C,ABA x + B y = C , \frac { A } { B }Ax+By=C,BA​ is the slope.

Write the equation of the line that satisfies the given condition: contains the point (10, -3) and is perpendicular to the line 4 x + 3 y = -8.

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. (3x−y=75x+10y=1)\left( \begin{array} { c } 3 x - y = 7 \\5 x + 10 y = 1\end{array} \right)(3x−y=75x+10y=1​)

Use the graphing method to solve the system. (y=4−3xy=5−4x)\left( \begin{array} { l } y = 4 - 3 x \\y = 5 - 4 x\end{array} \right)(y=4−3xy=5−4x​)

Write the equation of the line that satisfies the given condition: x intercept of 1 and slope of 58\frac { 5 } { 8 }85​ . Simplify your answer as much as possible. Express the final equation in standard form.

The system (2x+5y=62x+5y=−6)\left( \begin{array} { l } 2 x + 5 y = 6 \\2 x + 5 y = - 6\end{array} \right)(2x+5y=62x+5y=−6​) has the null set for its solution.

Graph the line that passes through the given point and has the given slope. (1,−4),m=−2( 1 , - 4 ) , m = - 2(1,−4),m=−2

Doris invested some money at 7% and some money at 8%. She invested $5,000 more at 8% than she did at 7%. Her total yearly interest from the two investments was $850. How much did Doris invest at each rate?

Match the equations with their graphs. -

Match the equations with their graphs. -

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

Graph the inequality. $y \geq - x + 4$

Graph the linear inequality. $x - y \geq 2$

Find the equation of the line that contains the given point and has the given slope. $( - 6,5 ) , m = 0$

What graph illustrates the inequality $8 x - 7 y \leq 12$ ?

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. $( - 3 , - 5 ) , m = \frac { 1 } { 4 }$

In the standard form of the equation of a line $A x + B y = C , \frac { A } { B }$ is the slope.

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } 3 x - y = 7 \\5 x + 10 y = 1\end{array} \right)$

Use the graphing method to solve the system. $\left( \begin{array} { l } y = 4 - 3 x \\y = 5 - 4 x\end{array} \right)$

Write the equation of the line that satisfies the given condition: x intercept of 1 and slope of $\frac { 5 } { 8 }$ . Simplify your answer as much as possible. Express the final equation in standard form.

The system $\left( \begin{array} { l } 2 x + 5 y = 6 \\2 x + 5 y = - 6\end{array} \right)$ has the null set for its solution.

Graph the line that passes through the given point and has the given slope. $( 1 , - 4 ) , m = - 2$