Quiz about Pre-Algebra - Ch. 5.3-5.4 Quiz Book Pg. 232

Question 1

Problem #1

Solve the system of linear equations by elimination.

$$x+2y=4$$ $$−x−y=2$$

Accepted Answer

(-8, 6)

Answer

(2, 1)

Answer

(10, 8)

Answer

(1, 1)

Question 2

Problem #2

Solve the system of linear equations by elimination.

$$2x−y=1$$ $$x+3y−4=0$$

Accepted Answer

(1, 1)

Answer

(2, 1)

Answer

(10, 8)

Answer

(-8, 6)

Question 3

Problem #3

Solve the system of linear equations by elimination.

$$3x=−4y+10$$

$$4x+3y=11$$

Accepted Answer

(2, 1)

Answer

(10, 8)

Answer

(1, 1)

Answer

(-8, 6)

Question 4

Problem #4

Solve the system of linear equations by elimination.

$$2x+5y=60$$

$$2x−5y=−20$$

Accepted Answer

(10, 8)

Answer

(2, 1)

Answer

(1, 1)

Answer

(-8, 6)

Question 5

Problem #5

Solve the system of linear equations.

$$3x−2y=16$$

$$6x−4y=32$$

Accepted Answer

infinitely many solutions

Answer

no solution

Answer

one solution

(1, 0)

Answer

one solution

(0, 1)

Question 6

Problem #6

Solve the system of linear equations.

$$4y=x−8$$

$$-\frac{1}{4}x+y=−1$$

Accepted Answer

no solution

Answer

infinitely many solutions

Answer

one solution

(1, 0)

Answer

one solution

(0, 1)

Question 7

Problem #7

Solve the system of linear equations.

$$−2x+y=−2$$

$$3x+y=3$$

Accepted Answer

one solution

(1, 0)

Answer

infinitely many solutions

Answer

no solution

Answer

one solution

(0, 1)

Question 8

Problem #8

Solve the system of linear equations.

$$3x=\frac{1}{3}y+2$$

$$9x−y=−6$$

Accepted Answer

no solution

Answer

infinitely many solutions

Answer

one solution

(1, 0)

Answer

one solution

(0, 1)

Question 9

Problem #11

Use a graph to solve the equation.

$$1−3x=−3x+2$$

x = ___

Accepted Answer

no solution

Answer

infinitely many solutions

Answer

one solution

Question 10

Problem #13

TOURS: The table shows the activities of two visitors at a park. You want to take the boat tour for 2 hours and the walking tour for 3 hours. Can you determine how much you will pay?

Accepted Answer

infinitely many solutions

Answer

no solution

Answer

one solution

Question 11

Problem #13

TOURS: The table shows the activities of two visitors at a park. You want to take the boat tour for 2 hours and the walking tour for 3 hours. Can you determine how much you will pay? Explain.

Accepted Answer

It is not possible to determine how much each tour costs from the information in the table.

Answer

The total cost per visitor allows you to figure the cost for each tour for the number of hours needed.

Question 12

Problem #14 a

RENTALS: A business rents bicycles and in-line skates. Bicycle rentals cost $25 per day, and in-line skate rentals cost $20 per day. The business has 20 rentals today and makes $455.

a. Write a system of linear equations that represents this situation. (Select all that apply.)

Accepted Answer

$$x+y=20$$

Accepted Answer

$$25x+20y=455$$

Answer

$$25x-20y=455$$

Answer

$$x-y=20$$

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