## MATH 114N Week 5 Test 2 Review Solutions (4 Versions)

**MATH-114N Week 5 Test 2 Review (Version 1)**

**1. Question: **Solve the following system by substitution method. Check the solution.

2x + 10y = 4

x= 7 – 5y

**2. Question: **Solve the following system by the elimination method.

**3. Question: **Without graphing , answer the questions for the following linear system.

7x + 2y = 5

49x + 14y= 7

**4. Question: **Solve the following system by substitution method. Check the solution.

0.1x + 0.5y = – 1.1

0.6x – 0.6y = 4.2

**5. Question: **Solve the following system of equations by graphing.

x – 2y = – 2

x + 2y = 10

**6. Question: **Solve the following system of equations by graphing. If the system is inconsistent or the equations are dependent, say so.

9x – 5y = 4

18x – 10y = 8

**7. Question: **Solve the following system by the elimination method.

x + y = 12

6x – y = 37

**8. Question: **Use the elimination method to solve the following system of equations.

x + y = 2

x + y = – 7

**9. Question: **Solve the following system by substitution method. Check the solution (s).of equations by graphing.

**10. Question: **Use the elimination method to solve the following system of equations.

5x + y = – 10

7x – 3y = – 36

## STATUS

**11. Question: **Solve the following system by the elimination method. Check the solution.

5x – 7 = – 7y

3x + 2y = – 9

**12. Question: **Without graphing, answer the questions for the following linear system.

x + 4y = 0

12y = -3x

**13. Question: **Decide whether the given ordered pair is a solution of the given system.

(5, -8)

x + y = – 3

5x + 4y = 12

**14. Question: **Solve the following system by the substitution method.

2x + 5y = 34

x = y + 3

**15. Question: **The price per unit p, and the demand, x, for a particular material are related by the linear equation p = 140 – , while the supply is given by the linear equation p = as shown In the given figure. At what value of p does supply equal demand?2

**16. Question: **A baseball team has home games on Thursday and Saturday. The two games together earn $39The price per unit p, and the demand, x, for a particular material are related by the linear equation p = 140 – , while the supply is given by the linear equation p = as shown In the given figure.

**17. Question: **A baseball team has home games on Thursday and Saturday. The two games together earn $3929.50 for the team. Thursday’s game generates $110.50 less than Sunday’s game. How much money was taken in at each game?

**18. Question: **Suppose that a cyclist began a 589ml ride across a state at the western edge of the state, at the same time that a car traveling toward it leaves the eastern end of the state, if the bicycle and car met after 9.5 hr and the car traveled 36.8 mph faster than the bicycle, find the average rate of each.

**19. Question: **A bicycle travels at a speed of 5 miles per hour for x hours. Find an expression for the distance revenues is the nce that the bicycle travels.

**20. Question: **Without graphing, answer the questions for the following linear system.

y – x = – 1

x + y = 14

**21. Question: **A point at which company’s costs equal its revenues is the break-even point. C represents the cost, in dollars, of x units of a product and R represents the revenue, in dollars, from the sale of x units. Find the number of units that must be produced and sold in order to break even. That is, find the value of x for which C = R

C = 14x + 48000 and R = 18x.

How many units must be produced and sold in order to break even?

**MATH 114N Week 5 Test 2 Review (Version 2)**

**1. Question: **Solve the following system by the elimination method.

x + y = 7

4x – y= 18

**2. Question: **Use the elimination method to solve the following system of equations.

5x + y =10

7x – 3y= – 36

**3. Question: **Solve the following system by the elimination method. Check the solutions.

4x – 10 = – 6y

4x + 5y= – 12

**4. Question: **Suppose that a cyclist began a 261 mi ride across a state at the western edge of the state, at the same time that a car traveling toward it leaves the eastern end of the state. If the car and the bicycle met after 4.5 hr and the car traveled 36.2 mph faster than the bicycle, find the average rate of each?

**5. Question: **Solve the following system by the substitution method. Check the solutions.

2x + 8y = 2

x = 9 – 4y

**6. Question: **Solve the following system by the substitution method. Check the solutions.

2x + 3y = 20

x = y + 5

**7. Question: **The price per unit, p, and the demand, x, for a particular material are related by the linear equation p = 100 – while the supply is given by the linear equation p = x, as shown in the given figure. At what value of p does supply equal demand?

**8. Question: **A bicycle travels at a speed of 10 miles per hour for x hours. Find an expression for the distance that the bicycle travels.

**9. Question: **Solve the following system by the substitution method. Check the solutions.

3x – y = 9

**10. Question: **Without graphing , answer the questions for the following linear system.

x + 5y = 0

20y = – 4x

**11. Question: **Solve the following system by substitution method. Check the solution.

0.1x + 0.9y = – 7.5

0.3x – 0.4y = 5.4

**12. Question: **Without graphing , answer the questions for the following linear system.

5x + 2y = 1

40x + 16y = 9

**13. Question: **The point at which company’s costs equal its revenues is the break-even point. C represents the cost, in dollars, of x units of a product and R represents the revenue, in dollars, from the sale of x units. Find the number of units that must be produced and sold in order to break even. That is, find the value of x for which C = R

C = 14x + 42000 and R = 17x.

How many units must be produced and sold in order to break even?

**14. Question: **Use the elimination method to solve the following system of equations.

x + y = 2

x + y= – 7

**15. Question: **Decide whether the given ordered pair is a solution of the given system.

(3, -7)

x + y = – 4

4x + 3y = 11

**16. Question: **Solve the following system of equations by graphing.

x – 2y = – 4

x + 2y = 8

**17. Question: **A baseball team has home games on Thursday and Saturday. The two games together earn $4213 for the team. Thursday’s game generates $147.00 less than Sunday’s game. How much money was taken in at each game?

**18. Question: **Without graphing , answer the questions for the following linear system.

y – x = – 5

x + y = 14

**19. Question: **Solve the following system of equations by graphing. If the system is inconsistent or the equations are dependent, say so.

7x – 2y = 5

21x – 6y = 15

**20. Question: **Solve the following system by the elimination method.

**MATH-114N Week 5 Test 2 Review (****Version ****3)**

**1. Question: **Decide whether the given ordered pair is a solution of the given system.

(1, – 4)

x + y = – 3

2x + 5y = 15

**2. Question: **Solve the following system by the substitution method. Check the solutions.

0.1x + 0.8y = – 3.9

0.5x – 0.9y = 9.9

**3. Question: **A bicycle travels at a speed of 10 miles per hour for x hours. Find an expression for the distance that the bicycle travels.

**4. Question: **Solve the following system by the substitution method. Check the solutions.

3x + 4y = 40

x = y + 4

**5. Question: **Without graphing, answer the questions for the following linear system.

x + 4y = 0

8y = – 2x

**6. Question: **Solve the following system by the substitution method. Check the solutions.

3x – y = 12

**7. Question: **Solve the following system by the elimination method. Check the solutions.

2x – 8 = – 4y

3x + 2y= – 8

**8. Question: **Use the elimination method to solve the following system of equations.

5x + y =0

7x – 3y= – 22

**9. Question: **The point at which company’s costs equal its revenues is the break-even point. C represents the cost, in dollars, of x units of a product and R represents the revenue, in dollars, from the sale of x units. Find the number of units that must be produced and sold in order to break even. That is, find the value of x for which C = R

C = 15x + 30,000 and R = 18x.

How many units must be produced and sold in order to break even?

**10. Question: **Without graphing, answer the questions for the following linear system.

y – x = – 7

x + y = 18

**12. Question: **The price per unit, p, and the demand, x, for a particular material are related by the linear equation p = 80 – while the supply is given by the linear equation p = x, as shown in the given figure. At what value of p does supply equal demand?

**13. Question: **Without graphing , answer the questions for the following linear system.

3x + 2y = 5

12x + 8y = 7

**14. Question: **Solve the following system by substitution method. Check the solution.

2x + 6y = 4

x = 9 – 3y

**15. Question: **Solve the following system by the elimination method.

**16. Question: **A baseball team has home games on Thursday and Saturday. The two games together earn $4373.50 for the team. Thursday’s game generates $357.50 less than Sunday’s game. How much money was taken in at each game?

**17. Question: **Solve the following system of equations by graphing.

x – 2y = 8

x + 2y = – 4

**18. Question: **Solve the following system of equations by graphing. If the system is inconsistent or the equations are dependent, say so.

8x – 5y = 3

16x – 10y = 6

**19. Question: **Solve the following system by the elimination method. Check the solutions.

x + y = 10

9x – y = 50

**20. Question: **Use the elimination method to solve the following system of equations.

x + y = 3

x + y= – 3

**21. Question: **Suppose that a cyclist began a 435 mi ride across a state at the western edge of the state, at the same time that a car traveling toward it leaves the eastern end of the state. If the car and the bicycle met after 7.5 hr and the car traveled 38.6 mph faster than the bicycle, find the average rate of each?

**MATH-114N Week 5 Test 2 Review (****Version ****4)**

**1. Question: **Solve the following system by substitution method. Check the solution.

3x + 15y = 4

x = 9 – 5y

**2. Question: **Use the elimination method to solve the following system of equations.

5x + y = – 12

7x – 3y= – 52

**3. Question: **The point at which company’s costs equal its revenues is the break-even point. C represents the cost, in dollars, of x units of a product and R represents the revenue, in dollars, from the sale of x units. Find the number of units that must be produced and sold in order to break even. That is, find the value of x for which C = R

C = 14x + 64,000 and R = 18x.

How many units must be produced and sold in order to break even?

**4. Question: **Solve the following system by the substitution method. Check the solutions.

2x + 5y = 24

x = y + 5

**5. Question: **Decide whether the given ordered pair is a solution of the given system.

(1, – 3)

x + y = – 2

2x + 3y = 15

**6. Question: **Solve the following system by the elimination method. Check the solutions.

x + y = 10

6x – y = 46

**7. Question: **Without graphing, answer the questions for the following linear system.

y – x = – 5

x + y = 12

**8. Question: **Solve the following system of equations by graphing. If the system is inconsistent or the equations are dependent, say so.

9x – 2y = 7

18x – 4y = 14

**9. Question: **Solve the following system of equations by graphing.

x – 3y = -3

x + 3y = 9

**10. Question: **A bicycle travels at a speed of 2 miles per hour for x hours. Find an expression for the distance that the bicycle travels.

**11. Question: **Without graphing, answer the questions for the following linear system.

x + 4y = 0

8y = – 2x

**12. Question: **Solve the following system by the elimination method. Check the solutions.

3x – 9 = – 5y

4x + 3y = – 10

**13. Question: **The price per unit, p, and the demand, x, for a particular material are related by the linear equation p = 40 – while the supply is given by the linear equation p = x, as shown in the given figure. At what value of p does supply equal demand?

**14. Question: **Use the elimination method to solve the following system of equations.

x + y = 3

x + y= – 6

**15. Question: **Solve the following system by the substitution method. Check the solutions.

0.1x + 0.8y = – 2.8

0.9x – 0.3y = 4.8

**16. Question: **A baseball team has home games on Wednesday and Sunday. The two games together earn $5110.50 for the team. Wednesday’s game generates $1014.50 less than Sunday’s game. How much money was taken in at each game?

**17. Question: **Without graphing , answer the questions for the following linear system.

4x + 3y = 7

24x + 18y = 8

**18. Question: **Solve the following system by the substitution method. Check the solutions.

3x – y = 12

**19. Question: **Suppose that a cyclist began a 341 mi ride across a state at the western edge of the state, at the same time that a car traveling toward it leaves the eastern end of the state. If the car and the bicycle met after 5.5 hr and the car traveled 38.6 mph faster than the bicycle, find the average rate of each?

**20. Question: **Solve the following system by the elimination method.