Question 1

Change the equation to slope-intercept form: 4 x - 11 y = 5.

Accepted Answer

The answer of Change the equation to slope-intercept form: 4...

Question 2

Match the equations with their graphs.
-

Accepted Answer

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

Question 3

Find the slope of the line $-$ 9 x + 8 y = 30 by finding the coordinates of two points on it.

Accepted Answer

A)  $\frac { 8 } { 9 }$ 
B)  $- \frac { 9 } { 8 }$ 
C)  $\frac { 9 } { 8 }$ 
D)  $- \frac { 8 } { 9 }$ 
A)  $\frac { 8 } { 9 }$ 
B)  $- \frac { 9 } { 8 }$ 
C)  $\frac { 9 } { 8 }$ 
D)  $- \frac { 8 } { 9 }$

Question 4

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

Accepted Answer

A)  $x = - \frac { 13 } { 20 } , y = \frac { 1 } { 20 }$ 
B)  $x = \frac { 13 } { 20 } , y = - \frac { 1 } { 20 }$ 
C)  $x = \frac { 13 } { 20 } , y = \frac { 1 } { 20 }$ 
D)  infinitely many solutions 
E)  no solutions 
A)  $x = - \frac { 13 } { 20 } , y = \frac { 1 } { 20 }$ 
B)  $x = \frac { 13 } { 20 } , y = - \frac { 1 } { 20 }$ 
C)  $x = \frac { 13 } { 20 } , y = \frac { 1 } { 20 }$ 
D)  infinitely many solutions 
E)  no solutions

Question 5

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 
3 ( x - 1 ) - 4 ( y + 2 ) = 35 \
4 ( x + 2 ) + 3 ( y - 1 ) = - 17
\end{array} \right)$$

Accepted Answer

A)  ( 10, $-$ 2) 
B)  ( 2, $-$ 10) 
C)  ( $-$ 2, 10) 
D)  no solutions 
E)  infinitely many solutions 
A)  ( 10, $-$ 2) 
B)  ( 2, $-$ 10) 
C)  ( $-$ 2, 10) 
D)  no solutions 
E)  infinitely many solutions

Question 6

Doris invested some money at 7% and some money at 8%. She invested $6,000 more at 8% than she did at 7%. Her total yearly interest from the two investments was $930. How much did Doris invest at each rate? Enter your answer as two numbers: amount invested at 7%, amount invested at 8%. Separate them by a semicolon. $__________; $__________

Accepted Answer

The answer of Doris invested some money at 7% and...

Question 7

Determine the slope of the line represented by the given equation. $-$ 3 x $-$ 2 y = 3

Accepted Answer

A)  $m = - \frac { 3 } { 2 }$ 
B)  $m = \frac { 3 } { 2 }$ 
C)  $m = - \frac { 2 } { 3 }$ 
D)  $m = - 3$ 
E)  $m = \frac { 2 } { 3 }$ 
A)  $m = - \frac { 3 } { 2 }$ 
B)  $m = \frac { 3 } { 2 }$ 
C)  $m = - \frac { 2 } { 3 }$ 
D)  $m = - 3$ 
E)  $m = \frac { 2 } { 3 }$

Question 8

The equation $F = \frac { 9 } { 5 } C + 33$ can be used to convert from degrees in Celsius to degrees in Fahrenheit. Identify the graph of the equation. $F = \frac { 9 } { 5 } C + 33$

Accepted Answer

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

Question 9

The perimeter of a rectangle is 66 inches. The length of the rectangle is 5 inches more than the width. Find the width of the rectangle.

Accepted Answer

A)  19 in. 
B)  14 in. 
C)  5 in. 
A)  19 in. 
B)  14 in. 
C)  5 in.

Question 10

Solve the problem below by setting up and solving a system of two linear equations in two variables. Three lemons and 2 apples cost $2.32. Two lemons and 3 apples cost $2.28. Find the cost of 1 lemon and the cost of 1 apple.

Accepted Answer

A)  $0.35 for 1 lemon and $0.57 for 1 apple 
B)  $0.51 for 1 lemon and $0.41 for 1 apple 
C)  $0.48 for 1 lemon and $0.44 for 1 apple 
D)  $0.44 for 1 lemon and $0.48 for 1 apple 
E)  $0.37 for 1 lemon and $0.55 for 1 apple 
A)  $0.35 for 1 lemon and $0.57 for 1 apple 
B)  $0.51 for 1 lemon and $0.41 for 1 apple 
C)  $0.48 for 1 lemon and $0.44 for 1 apple 
D)  $0.44 for 1 lemon and $0.48 for 1 apple 
E)  $0.37 for 1 lemon and $0.55 for 1 apple

Question 11

Find the slope of the line y = $-$ 2 x $-$ 7 by finding the coordinates of two points on it.

Accepted Answer

A)  $\frac { 7 } { 2 }$ 
B)  $7$ 
C)  $- 2$ 
D)  $2$ 
A)  $\frac { 7 } { 2 }$ 
B)  $7$ 
C)  $- 2$ 
D)  $2$

Question 12

The equation of a line can be determined if only the slope and the x intercept are known.

Accepted Answer

A) True 
 B)False

Question 13

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $$\left( \begin{array} { l } 
y > x - 3 \
y < x + 1
\end{array} \right)$$

Accepted Answer

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

Question 14

Write the equation of the line that satisfies the given condition: x intercept of 1 and slope of $- \frac { 3 } { 2 }$ .

Accepted Answer

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

Question 15

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 
6 x - 9 y = 27 \
- 6 x + 2 y = - 6
\end{array} \right)$$

Accepted Answer

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

Question 16

The grade of a highway up a hill is 36%. How much change in horizontal distance is there if the vertical height of the hill is 550 feet? Express the answer to the nearest foot.

Accepted Answer

A)  1,547 ft 
B)  1,503 ft 
C)  1,428 ft 
D)  1,538 ft 
E)  1,528 ft 
A)  1,547 ft 
B)  1,503 ft 
C)  1,428 ft 
D)  1,538 ft 
E)  1,528 ft

Change the equation to slope-intercept form: 4 x - 11 y = 5.

Match the equations with their graphs. -

Find the slope of the line $-$ 9 x + 8 y = 30 by finding the coordinates of two points on it.

Solve the system by using the substitution method. $\left( \begin{array} { c } 3 x + y = 2 \\8 x - 4 y = 5\end{array} \right)$

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } 3 ( x - 1 ) - 4 ( y + 2 ) = 35 \\4 ( x + 2 ) + 3 ( y - 1 ) = - 17\end{array} \right)$

Determine the slope of the line represented by the given equation. $-$ 3 x $-$ 2 y = 3

The equation $F = \frac { 9 } { 5 } C + 33$ can be used to convert from degrees in Celsius to degrees in Fahrenheit. Identify the graph of the equation. $F = \frac { 9 } { 5 } C + 33$

The perimeter of a rectangle is 66 inches. The length of the rectangle is 5 inches more than the width. Find the width of the rectangle.

Solve the problem below by setting up and solving a system of two linear equations in two variables. Three lemons and 2 apples cost $2.32. Two lemons and 3 apples cost $2.28. Find the cost of 1 lemon and the cost of 1 apple.

Find the slope of the line y = $-$ 2 x $-$ 7 by finding the coordinates of two points on it.

The equation of a line can be determined if only the slope and the x intercept are known.

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { l } y > x - 3 \\y < x + 1\end{array} \right)$

Write the equation of the line that satisfies the given condition: x intercept of 1 and slope of $- \frac { 3 } { 2 }$ .

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } 6 x - 9 y = 27 \\- 6 x + 2 y = - 6\end{array} \right)$

The grade of a highway up a hill is 36%. How much change in horizontal distance is there if the vertical height of the hill is 550 feet? Express the answer to the nearest foot.

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

Change the equation to slope-intercept form: 4 x - 11 y = 5.

Match the equations with their graphs. -

Find the slope of the line −-− 9 x + 8 y = 30 by finding the coordinates of two points on it.

Solve the system by using the substitution method. (3x+y=28x−4y=5)\left( \begin{array} { c } 3 x + y = 2 \\8 x - 4 y = 5\end{array} \right)(3x+y=28x−4y=5​)

Determine the slope of the line represented by the given equation. −-− 3 x −-− 2 y = 3

The equation F=95C+33F = \frac { 9 } { 5 } C + 33F=59​C+33 can be used to convert from degrees in Celsius to degrees in Fahrenheit. Identify the graph of the equation. F=95C+33F = \frac { 9 } { 5 } C + 33F=59​C+33

The perimeter of a rectangle is 66 inches. The length of the rectangle is 5 inches more than the width. Find the width of the rectangle.

Solve the problem below by setting up and solving a system of two linear equations in two variables. Three lemons and 2 apples cost $2.32. Two lemons and 3 apples cost $2.28. Find the cost of 1 lemon and the cost of 1 apple.

Find the slope of the line y = −-− 2 x −-− 7 by finding the coordinates of two points on it.

The equation of a line can be determined if only the slope and the x intercept are known.

Indicate the solution set for the system of linear inequalities by shading the appropriate region. (y>x−3y<x+1)\left( \begin{array} { l } y > x - 3 \\y < x + 1\end{array} \right)(y>x−3y<x+1​)

Write the equation of the line that satisfies the given condition: x intercept of 1 and slope of −32- \frac { 3 } { 2 }−23​ .

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. (6x−9y=27−6x+2y=−6)\left( \begin{array} { c } 6 x - 9 y = 27 \\- 6 x + 2 y = - 6\end{array} \right)(6x−9y=27−6x+2y=−6​)

The grade of a highway up a hill is 36%. How much change in horizontal distance is there if the vertical height of the hill is 550 feet? Express the answer to the nearest foot.

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 $-$ 9 x + 8 y = 30 by finding the coordinates of two points on it.

Solve the system by using the substitution method. $\left( \begin{array} { c } 3 x + y = 2 \\8 x - 4 y = 5\end{array} \right)$

Determine the slope of the line represented by the given equation. $-$ 3 x $-$ 2 y = 3

The equation $F = \frac { 9 } { 5 } C + 33$ can be used to convert from degrees in Celsius to degrees in Fahrenheit. Identify the graph of the equation. $F = \frac { 9 } { 5 } C + 33$

Find the slope of the line y = $-$ 2 x $-$ 7 by finding the coordinates of two points on it.

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { l } y > x - 3 \\y < x + 1\end{array} \right)$

Write the equation of the line that satisfies the given condition: x intercept of 1 and slope of $- \frac { 3 } { 2 }$ .

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } 6 x - 9 y = 27 \\- 6 x + 2 y = - 6\end{array} \right)$