Quiz about Day 4 Systems of Equations Independent Practice

Question 1

Which of the following represents the solution to the system of linear equations: $$6x+2y=-24\ and-3x-4y=39$$

Accepted Answer

$$x=-1\ and\ y=-9$$

Answer

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

Answer

$$x=2\ and\ y=-5$$

Answer

$$x=4\ and\ y=-4$$

Question 2

If $$-5x+y=-12\ and\ 8x+y=27$$ , then what is the value of x?

Accepted Answer

$$3$$

Answer

$$8$$

Answer

$$-1$$

Answer

$$-4$$

Question 3

If $$x+y=3\ and-3x+7y=-29$$ , then what is the solution to the relationship?

Accepted Answer

$$\left(5,-2\right)$$

Answer

$$\left(2,\ 0\right)$$

Answer

$$\left(-7,\ 2\right)$$

Answer

$$\left(6,\ 11\right)$$

Question 4

How many solutions, if any, does a system of equations modeled by two lines that are identical have?

Accepted Answer

Infinite number of solutions

Answer

One unique solution

Answer

No solution

Answer

Two solutions

Question 5

If $$7x+4y=77\ and-5x-3y=-55$$ , then what is the value of y?

Accepted Answer

$$0$$

Answer

$$-4$$

Answer

$$1$$

Answer

$$-3$$

Question 6

If $$6x+6y=-54\ and-x+3y=-7$$ , then what is the value of x?

Accepted Answer

$$-5$$

Answer

$$1$$

Answer

$$10$$

Answer

$$-3$$

Question 7

Which of the following represents the solution to the system of linear equations: $$-9x+2y=-38\ and-4x-8y=-8$$

Accepted Answer

$$x=4\ and\ y=-1$$

Answer

$$x=-4\ and\ y=1$$

Answer

$$x=4\ and\ y=1$$

Answer

$$x=-4\ and\ y=-1$$

Question 8

If $$-3x+7y=11\ and\ 4x+13y=30$$ , then what is the solution to the relationship?

Accepted Answer

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

Answer

$$\left(0,\ 1\right)$$

Answer

$$\left(8,-8\right)$$

Answer

$$\left(-3,\ 4\right)$$

Question 9

If $$2x-11y=53\ and\ 6x-2y=66$$ , then what is the value of y?

Accepted Answer

$$-3$$

Answer

$$10$$

Answer

$$-9$$

Answer

$$5$$

Question 10

In a system of linear equations with lines $$y=4x+3\ and\ y=-2x+1$$ . How many solutions does it have?

Accepted Answer

One unique solution

Answer

Infinite number of solutions

Answer

No solution

Answer

Two solutions

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