Algebra L1-3 Quiz v6

Last updated over 2 years ago

6 questions

1

How many solutions does the equation 2x-5(2-x)+3=7(x-1) have?

at least two solutions (but finitely many)

exactly one solution

no solutions

infinitely many solutions

Orange juice costs only $9 per gallon. But carrot juice costs $17 per gallon. A juice company wants to create an Orange-Carrot juice blend at a cost of $12 per gallon. Which equation represents how many gallons of carrot juice, c, should be added to 50 gallons of orange juice to create a mixture with the target cost?

12(50)=9(50-c)+17c

12(50-c)=9(50)+17c

12c=9(50)+12(17-c)

12(50+c)=9(50)+17c

What value for w makes the following equation true?

-\frac{26}{7}

\frac{16}{7}

\frac{8}{7}

-\frac{34}{7}

Which of the following equations have exactly one solution?

Two pet daycares charge clients differently. "The Wiggle Room" requires that all clients pay a monthly membership fee of $30. And then they charge a rate of $5/hour after that. "Smoochie Poochie" simply charges $8 an hour, and does not require any monthly fee. Which equation represents the number of hours, h, you would need to pay for doggie daycare in order for the cost to be the same at either facility?

30+8h=5h

30+5h=8h

30=5h-8h

30(5h)=8h

Solve your equation from (5) to find the number of hours, h, where the prices at the two facilities are equal.

How many solutions does the equation 2x-5(2-x)+3=7(x-1) have?

at least two solutions (but finitely many)

exactly one solution

no solutions

infinitely many solutions

Orange juice costs only $9 per gallon. But carrot juice costs $17 per gallon. A juice company wants to create an Orange-Carrot juice blend at a cost of $12 per gallon. Which equation represents how many gallons of carrot juice, c, should be added to 50 gallons of orange juice to create a mixture with the target cost?

12(50)=9(50-c)+17c

12(50-c)=9(50)+17c

12c=9(50)+12(17-c)

12(50+c)=9(50)+17c

What value for w makes the following equation true?

-\frac{26}{7}

\frac{16}{7}

\frac{8}{7}

-\frac{34}{7}

Which of the following equations have exactly one solution?

\frac{3}{4}(x+4)=\frac{9}{12}(x-1)

2x-1=-1(1-2x)

4x-3=\frac{1}{3}(12x-9)

3(x-2)=2(x-3)

3(x+2)=8(2x-1)

2x+2=2(x+1)

Two pet daycares charge clients differently. "The Wiggle Room" requires that all clients pay a monthly membership fee of $30. And then they charge a rate of $5/hour after that. "Smoochie Poochie" simply charges $8 an hour, and does not require any monthly fee. Which equation represents the number of hours, h, you would need to pay for doggie daycare in order for the cost to be the same at either facility?

30+8h=5h

30+5h=8h

30=5h-8h

30(5h)=8h