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Algebra L1-3 Quiz v5

Last updated about 2 years ago

6 questions

1

1

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Question 6

6.

Solve your equation from (5) to find the minimum number of bagels you need to purchase in a month to make the club membership an ok deal.

Question 1

1.

How many solutions does the equation 2x+4(x-5)=2(3x-3) have?

no solutions

at least two solutions (but finitely many)

infinitely many solutions

exactly one solution

Question 2

2.

Soylent Yellow is sold for the (relatively) low price of only $120 per bar. But the much tastier and more nutritous Soylent Green costs $245 per bar. A food merchant wants to create combination meal bars at a cost of $180 per bar. Each bar will have part of a Soylent Yellow bar, and part of a Soylent Green bar. The merchant already has 300 Soylent Green bars to use for his new product. He wants to know how many Soylent Yellow bars, y, he should buy to acheive the a mixture with the correct cost. Which equation below represents the situation?

180(300+y)=245(300)+120y

180y=245(300)+120y

180(300)=245y+120(300-y)

180(300-y)=245y+120(300)

Question 3

3.

What value for x makes the following equation true?

-\frac{1}{6}

\frac{15}{110}

\frac{5}{6}

-\frac{15}{110}

Question 4

4.

Which of the following equations are identities (which have infinitely many solutions)?

2x+2=2(x+1)

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

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

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

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

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

Question 5

5.

A bagel shop offers a special "Dollar Bagel" club plan. Instead of paying the usual $15 per dozen, you pay $18 every month, but you only pay $1 for each bagel.

Choose the equation that can be used to find the number of bagels b for which a club member and regular customer pay the same amount.

18+b=15\frac{b}{12}

18-15b=\frac{b}{12}

18+\frac{b}{12}=15b

18=\frac{b}{12}+15