Quiz about Systems Of Equatons

Question 1

Given that $$-4 x+3 y=2$$ and $$3 x-9 y=3$$. Is $$(4,1)$$ a solution of the system?

Accepted Answer

Covalent bond

Answer

$$No$$

Answer

$$Yes$$

Question 2

A fence was installed around the edge of a rectangular garden. The length, $$l$$, of the fence was $$5$$ feet less than $$3$$ times its width, $$w$$. The amount of fencing used was $$90$$ feet.
Write a system of equations or write an equation using one variable that models this situation.

Accepted Answer

Covalent bond

Answer

$$3w-l=5$$ 
$$2l+2w=90$$

Answer

$$3w+l=5$$ 
$$2l+2w=90$$

Answer

$$3w-l=35$$ 
$$2l+2w=90$$

Answer

$$3w-l=5$$ 
$$2l+2w+90=0$$

Question 3

Mike earns $$6.50$$ dollars per hour plus $$4 \%$$ of his sales.

Enter an equation for Mike's total earnings, $${E}$$, when he works $${x}$$ hours and has a total of $$y$$ sales, in dollars.

Accepted Answer

Covalent bond

Answer

$${E}=6.50 {x}+\frac{4 y}{100}$$

Answer

$${E}={x}+\frac{4 y}{100}$$

Answer

$$E=6.50 y+\frac{4 x}{100}$$

Answer

$${E}=6.50 {x}+4 y$$

Question 4

A mail carrier delivers mail on one of two different routes: a morning route or an afternoon route. Each workday the mail carrier is assigned one of these two routes.
Last month the mail carrier delivered mail on the morning route $$16$$ times and on the afternoon route $$12$$ times, for a total distance traveled of $$141$$ miles.
This month the mail carrier delivered mail on the morning route $$10$$ times and on the afternoon route $$15$$ times, for a total distance traveled of $$123.75$$ miles.
What is the distance of the morning route in miles?

Accepted Answer

Covalent bond

Answer

A $$5.25$$ mi

Answer

B $$6.00$$ mi

Answer

C $$4.75 $$ mi

Answer

D $$5.00$$ mi

Question 5

A system of equations is given.

$$y+2=3(x-1)$$

$$y=-2x+10$$

What is the solution to the system?

Accepted Answer

Covalent bond

Answer

$$(x=3, y=4)$$

Answer

$$(x=2, y=6) $$

Answer

$$(x=1, y=0) $$

Answer

$$(x=-1, y=-2)$$

Systems Of Equatons Algebra 1 Maths Problems and Solutions

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