Quiz about Quiz 3 - Systems of Linear Equations

Question 1

Given a system of linear equations, two lines that have different slopes would have...

Accepted Answer

one solution

Answer

no solution

Answer

infinite solutions

Question 2

Given a system of linear equations, two lines that have the same slope and the same y-intercepts would have...

Accepted Answer

infinite solutions

Answer

one solution

Answer

no solution

Question 3

Given a system of linear equations, two lines that have the same slope and different y-intercepts would have...

Accepted Answer

no solution

Answer

one solution

Answer

infinite solutions

Question 4

Which of the following systems represents the graph?

Accepted Answer

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

$$y=\frac{1}{4}x-4$$

Answer

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

$$y=4x$$

Answer

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

$$y=4x-4$$

Answer

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

$$y=\frac{1}{4}x-4$$

Question 5

Which of the following systems represents the graph?

Accepted Answer

$$x=3$$

$$y=-2$$

Answer

$$y=-2x$$

$$y=3x$$

Answer

$$y=3x$$

$$x=2y$$

Answer

$$x=-2$$

$$y=3$$

Question 6

Solve the system of linear equations.

$$7x+5y=-2$$

$$y=x-10$$

Accepted Answer

$$\left(4,-6\right)$$

Answer

$$\left(6,-4\right)$$

Answer

$$\left(1,-2\right)$$

Answer

$$\left(3,-3\right)$$

Question 7

Solve the system of linear equations.

$$6x-3y=-15$$

$$2x+y=9$$

Accepted Answer

$$\left(1,7\right)$$

Answer

$$\left(0,5\right)$$

Answer

$$\left(2,-1\right)$$

Answer

$$\left(3,1\right)$$

Question 8

Amy and Scott each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Amy spent $39 on 5 hostas and 2 shrubs. Scott spent $81 on 3 hostas and 6 shrubs. What is the cost of one hosta and the cost of one shrub?

Accepted Answer

hosta $3

shrub $12

Answer

hosta $7

shrub $2

Answer

hosta $5

shrub $7

Answer

hosta $12

shrub $3

Question 9

Given the equation $$y=\frac{1}{4}x+3$$ select the equation(s) that would be perpendicular and create one solution.

Accepted Answer

$$y=-\frac{12}{3}x+6$$

Accepted Answer

$$y=-4x$$

Answer

$$y=-\frac{5}{20}x-3$$

Answer

$$y=-4$$

Question 10

Given the equation $$y=-2x$$ select the equation(s) that would be parallel and create no solution.

Accepted Answer

$$y=-2x+5$$

Accepted Answer

$$y=-\frac{4}{2}x-1$$

Answer

$$y=-2$$

Answer

$$y=-\frac{1}{5}x+6$$

Question 11

Identify the number of solutions the following system would have.

$$4x-2y=10$$

$$-4x+2y=-10$$

Accepted Answer

Infinite Solutions

Answer

One Solution

Answer

No Solution

Question 12

Identify the number of solutions the following system would have.

$$-3x\ -7y\ =-8$$

$$3x+7y=4$$

Accepted Answer

No Solution

Answer

One Solution

Answer

Infinite Solutions

Question 13

Identify the number of solutions the following system would have.

$$x-2y=16$$

$$-x+5y=-10$$

Accepted Answer

One Solution

Answer

No Solution

Answer

Infinite Solutions

Quiz 3 - Systems of Linear Equations

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