Question 1

Solve for x and y: 2x + 1y = 5 4x + 2y = 20

Accepted Answer

A) x = 2, y = 1 
B) x = -2, y = -1 
C) x = 4, y = 2 
D) x = -4, y = -2 
E) no solution, the lines are parallel 
A) x = 2, y = 1 
B) x = -2, y = -1 
C) x = 4, y = 2 
D) x = -4, y = -2 
E) no solution, the lines are parallel

Question 2

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

Accepted Answer

Solution i

Question 3

Graph: y = -4x + 16

Accepted Answer

For y = -4x + 16
Slo

Question 4

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

Accepted Answer

Infinitely

Question 5

Solve graphically: 4y = -5x and x = -6

Accepted Answer

The answer of Solve graphically: 4y = -5x and x...

Question 6

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 7

Two brothers decide to invest in a vacant lot which cost $51 000. 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 8

Solve the system of equations: 2.2x + 0.85y = 2.25
1.5x + 1.75y = 2.75

Accepted Answer

The answer of Solve the system of equations: 2.2x +...

Question 9

Solve the equation for x and find slope and x-intercept of 2x + 4y = 8

Accepted Answer

A) -2, 4 
B) -   ,2 
C) -4,8 
D) -2,8 
E) 4,-2 
A) -2, 4 
B) -   ,2 
C) -4,8 
D) -2,8 
E) 4,-2

Question 10

Solve the system of equations: 2x + 6y = -12
2x - 5y = 10

Accepted Answer

The answer of Solve the system of equations: 2x +...

Question 11

Solve the system of equations: 4x + 18y = 36
2x + 9y = -18

Accepted Answer

The answer of Solve the system of equations: 4x +...

Question 12

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

Accepted Answer

The answer of Solve the system of equations: 8x +...

Question 13

It takes a car 10 seconds to increase its speed from from 60 k/hr to 90 k/hr. What is the rate of acceleration (slope)in k/hr/sec?

Accepted Answer

A) 6 
B) 9 
C) 3 
D) 1/6 
E) 1/9 
A) 6 
B) 9 
C) 3 
D) 1/6 
E) 1/9

Question 14

1000 tickets were sold for Cirque du Soleil. Adult tickets cost $8.50, children's cost $4.50, and a total of $7300 was collected. How many tickets were sold to adults?

Accepted Answer

A) 1000 
B) 300 
C) 700 
D) 500 
E) Not enough data to answer the question 
A) 1000 
B) 300 
C) 700 
D) 500 
E) Not enough data to answer the question

Question 15

Find the slope of the line: 2y = 4(y + 2)

Accepted Answer

A) 0 
B) 2 
C) 4 
D) 0.5 
E) 1 
A) 0 
B) 2 
C) 4 
D) 0.5 
E) 1

Question 16

Operations costs increases linearly with the number of staff and are represented by the equations
OC = 12000N + 3000 and 3OC - 7000N = 252000. Graphically calculate the operations cost and number of staff.

Accepted Answer

Solution i

Solve for x and y: 2x + 1y = 5 4x + 2y = 20

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

Graph: y = -4x + 16

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

Solve graphically: 4y = -5x and x = -6

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

Two brothers decide to invest in a vacant lot which cost $51 000. 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: 2.2x + 0.85y = 2.25 1.5x + 1.75y = 2.75

Solve the equation for x and find slope and x-intercept of 2x + 4y = 8

Solve the system of equations: 2x + 6y = -12 2x - 5y = 10

Solve the system of equations: 4x + 18y = 36 2x + 9y = -18

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

It takes a car 10 seconds to increase its speed from from 60 k/hr to 90 k/hr. What is the rate of acceleration (slope)in k/hr/sec?

1000 tickets were sold for Cirque du Soleil. Adult tickets cost $8.50, children's cost $4.50, and a total of $7300 was collected. How many tickets were sold to adults?

Find the slope of the line: 2y = 4(y + 2)

Operations costs increases linearly with the number of staff and are represented by the equations OC = 12000N + 3000 and 3OC - 7000N = 252000. Graphically calculate the operations cost and number of staff.

Review of Arithmetic

Review of Basic Algebra

Ratio, Proportion, and Percent

Cost-Volume-Profit Analysis and Break-Even

Trade Discounts, Cash Discounts, Markup, and Markdown

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, Residential Mortgages, and Sinking Funds

Bond Valuation

Investment Decision Applications

Filters

Exam 4: Linear Systems

Solve for x and y: 2x + 1y = 5 4x + 2y = 20

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

Graph: y = -4x + 16

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

Solve graphically: 4y = -5x and x = -6

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

Two brothers decide to invest in a vacant lot which cost $51 000. 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: 2.2x + 0.85y = 2.25 1.5x + 1.75y = 2.75

Solve the equation for x and find slope and x-intercept of 2x + 4y = 8

Solve the system of equations: 2x + 6y = -12 2x - 5y = 10

Solve the system of equations: 4x + 18y = 36 2x + 9y = -18

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

It takes a car 10 seconds to increase its speed from from 60 k/hr to 90 k/hr. What is the rate of acceleration (slope)in k/hr/sec?

1000 tickets were sold for Cirque du Soleil. Adult tickets cost $8.50, children's cost $4.50, and a total of $7300 was collected. How many tickets were sold to adults?

Find the slope of the line: 2y = 4(y + 2)

Operations costs increases linearly with the number of staff and are represented by the equations OC = 12000N + 3000 and 3OC - 7000N = 252000. Graphically calculate the operations cost and number of staff.

Review of Arithmetic

Review of Basic Algebra

Ratio, Proportion, and Percent

Cost-Volume-Profit Analysis and Break-Even

Trade Discounts, Cash Discounts, Markup, and Markdown

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, Residential Mortgages, and Sinking Funds

Bond Valuation

Investment Decision Applications

Filters