Question 1

Solve the following system of equations by graphing:

Accepted Answer

A)  (2, -1)   
B)  No solution 
C)  (0, 2)   
D)  (2, -1)   
A)  (2, -1)   
B)  No solution 
C)  (0, 2)   
D)  (2, -1)

Question 2

Solve by the addition method:

Accepted Answer

A)  (3, 4, 4) 
B)  (1, 9, 5) 
C)  (3, -1, 5) 
D)  (1, 4, 6) 
E)  (2, 4, 5) 
A)  (3, 4, 4) 
B)  (1, 9, 5) 
C)  (3, -1, 5) 
D)  (1, 4, 6) 
E)  (2, 4, 5)

Question 3

Solve by the addition method:

Accepted Answer

A)  (3, -1, 0) 
B)  (3, -2, 5) 
C)  (8, -6, 5) 
D)  (4, -2, 1) 
E)  (2, -2, 9) 
A)  (3, -1, 0) 
B)  (3, -2, 5) 
C)  (8, -6, 5) 
D)  (4, -2, 1) 
E)  (2, -2, 9)

Question 4

An investor has a total of $24,000 deposited in three different accounts, which earn annual interest rates of 9%, 7%, and 5%. The amount deposited in the 9% account is twice the amount in the 7% account. If the three accounts earn a total annual interest of $1700, how much money is deposited in each account?

Accepted Answer

A)  $10,200 at 9%; $5100 at 7%; $9000 at 5% 
B)  $10,000 at 9%; $5000 at 7%; $8900 at 5% 
C)  $10,000 at 9%; $5000 at 7%; $9000 at 5% 
D)  $10,200 at 9%; $5100 at 7%; $8900 at 5% 
E)  None of the above 
A)  $10,200 at 9%; $5100 at 7%; $9000 at 5% 
B)  $10,000 at 9%; $5000 at 7%; $8900 at 5% 
C)  $10,000 at 9%; $5000 at 7%; $9000 at 5% 
D)  $10,200 at 9%; $5100 at 7%; $8900 at 5% 
E)  None of the above

Question 5

Solve the following system of equations by graphing:

Accepted Answer

A)  (3, 2)   
B)  (3, 0)   
C)  No solution   
D)  The ordered-pair solutions     
A)  (3, 2)   
B)  (3, 0)   
C)  No solution   
D)  The ordered-pair solutions

Question 6

Solve the following system of equations by graphing:

Accepted Answer

A)  No solution   
B)  The ordered-pair solutions of     
C)  (3, 2)   
D)  (2, 2)   
A)  No solution   
B)  The ordered-pair solutions of     
C)  (3, 2)   
D)  (2, 2)

Question 7

A plane flying with the jet stream flew from Los Angeles to Chicago, a distance of 2568 mi, in 4 h. Flying against the jet stream, the plane could fly only 2212 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind.

Accepted Answer

A)  Plane = 577.5 mph; wind = 64.5 mph 
B)  Plane = 577.5 mph; wind = 24.5 mph 
C)  Plane = 587.5 mph; wind = 34.5 mph 
D)  Plane = 597.5 mph; wind = 44.5 mph 
E)  Plane = 607.5 mph; wind = 34.5 mph 
A)  Plane = 577.5 mph; wind = 64.5 mph 
B)  Plane = 577.5 mph; wind = 24.5 mph 
C)  Plane = 587.5 mph; wind = 34.5 mph 
D)  Plane = 597.5 mph; wind = 44.5 mph 
E)  Plane = 607.5 mph; wind = 34.5 mph

Question 8

Is (1, -1) a solution of the following system of equations?

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 9

Solve by substitution:

Accepted Answer

A)  (3, -2) 
B)  (1, 2) 
C)  Dependent 
D)  No solution 
E)  (2, 0) 
A)  (3, -2) 
B)  (1, 2) 
C)  Dependent 
D)  No solution 
E)  (2, 0)

Question 10

A chemist has two alloys, one of which is 10% gold and 20% lead, and the other of which is 30% gold and 40% lead. How many grams of each of the two alloys should be used to make an alloy that contains 65 g of gold and 118 g of lead?

Accepted Answer

A)  First alloy: 60 g; second alloy: 470 g 
B)  First alloy: 470 g; second alloy: 62 g 
C)  First alloy: 472 g; second alloy: 60 g 
D)  First alloy: 470 g; second alloy: 60 g 
E)  None of the above 
A)  First alloy: 60 g; second alloy: 470 g 
B)  First alloy: 470 g; second alloy: 62 g 
C)  First alloy: 472 g; second alloy: 60 g 
D)  First alloy: 470 g; second alloy: 60 g 
E)  None of the above

Question 11

Solve by the addition method:

Accepted Answer

A)  Dependent 
B)  (-4, 4) 
C)  (2, 10) 
D)  No solution 
E)  (-1, 7) 
A)  Dependent 
B)  (-4, 4) 
C)  (2, 10) 
D)  No solution 
E)  (-1, 7)

Question 12

Solve by substitution:

Accepted Answer

A)  No solution 
B)  (5, 4) 
C)  (-1, 0) 
D)  (2, 2) 
E)  Dependent 
A)  No solution 
B)  (5, 4) 
C)  (-1, 0) 
D)  (2, 2) 
E)  Dependent

Question 13

When Sara Whitehorse changed jobs, she rolled over the $54,725 in her retirement account into two simple interest accounts. On one account, the annual simple interest rate is 8.75%, and on the second account, the annual simple interest is 5%. How much must be invested in each account if the two accounts earned the same amount of annual interest?
(x at 8.75% and y at 5%.)

Accepted Answer

A)  x = $19,900; y = $34,825 
B)  x = $19,910; y = $34,815 
C)  x = $34,825; y = $19,900 
D)  x = $20,000; y = $34,925 
E)  x = $20,001; y = $34,724 
A)  x = $19,900; y = $34,825 
B)  x = $19,910; y = $34,815 
C)  x = $34,825; y = $19,900 
D)  x = $20,000; y = $34,925 
E)  x = $20,001; y = $34,724

Question 14

Solve by the addition method:

Accepted Answer

A)  (2, 2, 3) 
B)  (3, 2, 4) 
C)  (4, 2, 5) 
D)  (-3, 3, 4) 
E)  (3, 3, 10) 
A)  (2, 2, 3) 
B)  (3, 2, 4) 
C)  (4, 2, 5) 
D)  (-3, 3, 4) 
E)  (3, 3, 10)

Question 15

An investment of $6000.00 is divided between two simple interest accounts. On one account, the annual simple interest rate is 7.75%, and on the second account, the annual simple interest is 6.25%. How much should be invested in each account so that the total interest from the two accounts is $417?
(x at 7.75% and y at 6.25%.)

Accepted Answer

A)  x = $2778; y = $3222 
B)  x = $417; y = $5583 
C)  x = $2800; y = $3200 
D)  x = $2841; y = $3159 
E)  x = $3200; y = $2800 
A)  x = $2778; y = $3222 
B)  x = $417; y = $5583 
C)  x = $2800; y = $3200 
D)  x = $2841; y = $3159 
E)  x = $3200; y = $2800

Question 16

Graph the solution set of the following system:

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of the above 
A)    
B)    
C)    
D)    
E)  None of the above

Solve the following system of equations by graphing:

Solve by the addition method:

Solve by the addition method:

Solve the following system of equations by graphing:

Solve the following system of equations by graphing:

A plane flying with the jet stream flew from Los Angeles to Chicago, a distance of 2568 mi, in 4 h. Flying against the jet stream, the plane could fly only 2212 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind.

Is (1, -1) a solution of the following system of equations?

Solve by substitution:

A chemist has two alloys, one of which is 10% gold and 20% lead, and the other of which is 30% gold and 40% lead. How many grams of each of the two alloys should be used to make an alloy that contains 65 g of gold and 118 g of lead?

Solve by the addition method:

Solve by substitution:

Solve by the addition method:

Graph the solution set of the following system:

Real Numbers and Variable Expressions

First-Degree Equations and Inequalities

Geometry

Linear Functions and Inequalities in Two Variables

Polynomials

Factoring

Rational Expressions

Exponents and Radicals

Quadratic Equations

Functions and Relations

Exponential and Logarithmic Functions

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Exam 5: Systems of Linear Equations and Inequalities

Solve the following system of equations by graphing:

Solve by the addition method:

Solve by the addition method:

Solve the following system of equations by graphing:

Solve the following system of equations by graphing:

A plane flying with the jet stream flew from Los Angeles to Chicago, a distance of 2568 mi, in 4 h. Flying against the jet stream, the plane could fly only 2212 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind.

Is (1, -1) a solution of the following system of equations?

Solve by substitution:

A chemist has two alloys, one of which is 10% gold and 20% lead, and the other of which is 30% gold and 40% lead. How many grams of each of the two alloys should be used to make an alloy that contains 65 g of gold and 118 g of lead?

Solve by the addition method:

Solve by substitution:

Solve by the addition method:

Graph the solution set of the following system:

Real Numbers and Variable Expressions

First-Degree Equations and Inequalities

Geometry

Linear Functions and Inequalities in Two Variables

Polynomials

Factoring

Rational Expressions

Exponents and Radicals

Quadratic Equations

Functions and Relations

Exponential and Logarithmic Functions

Filters