Question 1

Find the slope and y-intercept: 3y - 5 = 2(x - 2)

Accepted Answer

3y - 5 = 2(x - 2)
3y - 5 = 2x - 4
3y = 2x + 1
y =   x +   Slope, m =   ; y-intercept, b =

Question 2

Solve the system of equations: 6.6x + 3.5y = 110
2.9x + 4.7y = 106

Accepted Answer

6.6x + 3.5y = 110
2.9x + 4.7y = 106
66x + 35y = 1100
29x + 47y = 1060
1914x + 1015y = 31900
1914x + 3102y = 69960
-2087y = -38060
y = 18.236703
2.9x + 4.7(18.236703) = 106
2.9x + 85.712506 = 106
2.9x = 20.287494
x = 6.9956876

Question 3

A machine requires 1 hours to make a unit of Product A, and 4 hours to make a unit of Product B. The machine operated for 195 hours producing a total of 80 units. How many hours were used to manufacture units of Product A?

Accepted Answer

Let the number of units of Product A be x.
Let the number of units of Product B be y.
x + y = 80
x + 4y = 200
-3y = -120
y = 40
x + 40 = 80
x = 40

Question 4

Find the slope and y-intercept: 1 -   y = 4x

Accepted Answer

1 - @#IMG-DLM& y = 4x
- @#IMG-DLM& y = 4

Question 5

Solve for x and y: x + 9y = 18 x + 15y=42

Accepted Answer

A)  x = 18, y = 4 
B)  x = 18, y = -4 
C)  x = -18, y = -4 
D)  x = -18, y = 4 
E)  x = 4, y = -18 
A)  x = 18, y = 4 
B)  x = 18, y = -4 
C)  x = -18, y = -4 
D)  x = -18, y = 4 
E)  x = 4, y = -18

Question 6

Graph: 3x - 2y = 18

Accepted Answer

x y
0 -9
2

Question 7

A machine requires 3 hours to make a unit of Product A, and 6 hours to make a unit of Product B. The machine operated for 195 hours producing a total of 40 units. How many hours were used to manufacture units of Product A?

Accepted Answer

Let the number of units of Pro

Question 8

Solve graphically: 4x = -2y and x = 6

Accepted Answer

Solution i

Question 9

A tavern holds 50 seats. Two types of seats are available the Friday night jazz festival: stage and dining. The cost of a stage seat is $15.00 and the cost of a dining seat is $5.00. If all 50 seats are sold the tavern would collect $400.00. How many of each type of seat is available?

Accepted Answer

Let the stage seat be x and th

Question 10

Solve the system graphically.
3x - 7 = y
6x -2 y = 14

Accepted Answer

infinitely

Question 11

Find the slope of the following: 2x + 5y = 50

Accepted Answer

A)  .4 
B)  2.5 
C)  -2.5 
D)  -.4 
E)  10 
A)  .4 
B)  2.5 
C)  -2.5 
D)  -.4 
E)  10

Question 12

Solve graphically: x - y = 4 and x + y = 6

Accepted Answer

(5,1) is t

Question 13

Two brothers decide to invest in a vacant lot which cost $51000. The first brother contributes $1000 more than one-quarter of what the second brother contributes. How much does each brother contribute?

Accepted Answer

A)  B1 = 11000, B2 =40000 
B)  B1 =40000, B2 =11000 
C)  B1 = 12500, B2 =38500 
D)  B1 = 50000, B2 =10000 
E)  B1 = 1000, B2 =50000 
A)  B1 = 11000, B2 =40000 
B)  B1 =40000, B2 =11000 
C)  B1 = 12500, B2 =38500 
D)  B1 = 50000, B2 =10000 
E)  B1 = 1000, B2 =50000

Question 14

Solve the system of equations: 8x + 12y = 72
6x + 7y = 84

Accepted Answer

8x + 12y = 72
6x + 7y = 84
48x

Question 15

A machine requires five hours to make a unit of Product A and four hours to make a unit of Product B. Last month the machine operated for 440 hours producing a total of 100 units. How many units of each type of product did it produce?

Accepted Answer

Let the number of units of Pro

Question 16

It takes your company 6 labor hours to manufacture a simple hot tub and 9 labor hours to manufacture a deluxe hot tub. Last week your company used a total of 795 labor hours to manufacture a total of 105 hot tubs. How many of each type of hot tub did you manufacture?

Accepted Answer

A)  Simple 40, Deluxe 65 
B)  Simple 55, Deluxe 50 
C)  Simple 75, Deluxe 30 
D)  Simple 50, Deluxe 55 
E)  Simple 65, Deluxe 50 
A)  Simple 40, Deluxe 65 
B)  Simple 55, Deluxe 50 
C)  Simple 75, Deluxe 30 
D)  Simple 50, Deluxe 55 
E)  Simple 65, Deluxe 50

Question 17

Find the y-intercept for the following equation: 5y + 7 = 19

Accepted Answer

A)  2.6 
B)  0 
C)  2.4 
D)  2.8 
E)  3.0 
A)  2.6 
B)  0 
C)  2.4 
D)  2.8 
E)  3.0

Question 18

Graph: x = 7

Accepted Answer

The answer of Graph: x = 7...

Question 19

Solve for the following: 2x - 3y = -24 3x + 5y = 45

Accepted Answer

A)  x = 0.789, y = 8.526 
B)  x = .489, y = 8.526 
C)  x = 4.789, y = 9.526 
D)  x = 2.789, y = 7.526 
E)  x = 0.2789, y = 0.7526 
A)  x = 0.789, y = 8.526 
B)  x = .489, y = 8.526 
C)  x = 4.789, y = 9.526 
D)  x = 2.789, y = 7.526 
E)  x = 0.2789, y = 0.7526

Question 20

Solve the system of equations: x +   y = 2.5
0.2x -   y = 1.2

Accepted Answer

x + @#IMG-DLM& y = 2.5
0.2x - @#IMG-DLM& y = 1.2
2

Find the slope and y-intercept: 3y - 5 = 2(x - 2)

Solve the system of equations: 6.6x + 3.5y = 110 2.9x + 4.7y = 106

A machine requires 1 hours to make a unit of Product A, and 4 hours to make a unit of Product B. The machine operated for 195 hours producing a total of 80 units. How many hours were used to manufacture units of Product A?

Find the slope and y-intercept: 1 - y = 4x

Solve for x and y: x + 9y = 18 x + 15y=42

Graph: 3x - 2y = 18

A machine requires 3 hours to make a unit of Product A, and 6 hours to make a unit of Product B. The machine operated for 195 hours producing a total of 40 units. How many hours were used to manufacture units of Product A?

Solve graphically: 4x = -2y and x = 6

A tavern holds 50 seats. Two types of seats are available the Friday night jazz festival: stage and dining. The cost of a stage seat is $15.00 and the cost of a dining seat is $5.00. If all 50 seats are sold the tavern would collect $400.00. How many of each type of seat is available?

Solve the system graphically. 3x - 7 = y 6x -2 y = 14

Find the slope of the following: 2x + 5y = 50

Solve graphically: x - y = 4 and x + y = 6

Two brothers decide to invest in a vacant lot which cost $51000. The first brother contributes $1000 more than one-quarter of what the second brother contributes. How much does each brother contribute?

Solve the system of equations: 8x + 12y = 72 6x + 7y = 84

A machine requires five hours to make a unit of Product A and four hours to make a unit of Product B. Last month the machine operated for 440 hours producing a total of 100 units. How many units of each type of product did it produce?

It takes your company 6 labor hours to manufacture a simple hot tub and 9 labor hours to manufacture a deluxe hot tub. Last week your company used a total of 795 labor hours to manufacture a total of 105 hot tubs. How many of each type of hot tub did you manufacture?

Find the y-intercept for the following equation: 5y + 7 = 19

Graph: x = 7

Solve for the following: 2x - 3y = -24 3x + 5y = 45

Solve the system of equations: x + y = 2.5 0.2x - y = 1.2

Review of Arithmetic

Review of Basic Algebra

Ratio, Proportion, and Percent

Trade Discount, Cash Discount, Markup, and Markdown

Break-Even and Cost-Volume-Profit Analysis

Simple Interest

Simple Interest Applications

Compound Interest - Future Value and Present Value

Compound Interest - Further Topics

Ordinary Simple Annuities

Ordinary General Annuities

Annuities Due, Deferred Annuities, and Perpetuities

Amortization of Loans, Including Residential Mortgages

Bond Valuation and Sinking Funds

Investment Decision Applications

Filters

Exam 4: Linear Systems

Find the slope and y-intercept: 3y - 5 = 2(x - 2)

Solve the system of equations: 6.6x + 3.5y = 110 2.9x + 4.7y = 106

A machine requires 1 hours to make a unit of Product A, and 4 hours to make a unit of Product B. The machine operated for 195 hours producing a total of 80 units. How many hours were used to manufacture units of Product A?

Find the slope and y-intercept: 1 - y = 4x

Solve for x and y: x + 9y = 18 x + 15y=42

Graph: 3x - 2y = 18

A machine requires 3 hours to make a unit of Product A, and 6 hours to make a unit of Product B. The machine operated for 195 hours producing a total of 40 units. How many hours were used to manufacture units of Product A?

Solve graphically: 4x = -2y and x = 6

A tavern holds 50 seats. Two types of seats are available the Friday night jazz festival: stage and dining. The cost of a stage seat is $15.00 and the cost of a dining seat is $5.00. If all 50 seats are sold the tavern would collect $400.00. How many of each type of seat is available?

Solve the system graphically. 3x - 7 = y 6x -2 y = 14

Find the slope of the following: 2x + 5y = 50

Solve graphically: x - y = 4 and x + y = 6

Two brothers decide to invest in a vacant lot which cost $51000. The first brother contributes $1000 more than one-quarter of what the second brother contributes. How much does each brother contribute?

Solve the system of equations: 8x + 12y = 72 6x + 7y = 84

A machine requires five hours to make a unit of Product A and four hours to make a unit of Product B. Last month the machine operated for 440 hours producing a total of 100 units. How many units of each type of product did it produce?

It takes your company 6 labor hours to manufacture a simple hot tub and 9 labor hours to manufacture a deluxe hot tub. Last week your company used a total of 795 labor hours to manufacture a total of 105 hot tubs. How many of each type of hot tub did you manufacture?

Find the y-intercept for the following equation: 5y + 7 = 19

Graph: x = 7

Solve for the following: 2x - 3y = -24 3x + 5y = 45

Solve the system of equations: x + y = 2.5 0.2x - y = 1.2

Review of Arithmetic

Review of Basic Algebra

Ratio, Proportion, and Percent

Trade Discount, Cash Discount, Markup, and Markdown

Break-Even and Cost-Volume-Profit Analysis

Simple Interest

Simple Interest Applications

Compound Interest - Future Value and Present Value

Compound Interest - Further Topics

Ordinary Simple Annuities

Ordinary General Annuities

Annuities Due, Deferred Annuities, and Perpetuities

Amortization of Loans, Including Residential Mortgages

Bond Valuation and Sinking Funds

Investment Decision Applications

Filters