Algebra L1-2 Quiz v5

Last updated over 2 years ago

6 questions

1

Solve the following equation for the value of z.

z=-\frac{19}{3}

z=\frac{1}{7}

z=\frac{1}{3}

z=-\frac{1}{3}

Twelve seniors go to the early-bird buffet. Five use their AARP memberships to get $2.50 off the "all-you-can-eat" price. In total, the old-timers pay a total of $113.50. What is the price of the buffet without the AARP discount?

$9.50

$10.50

$11.50

$12.50

The sum of three consecutive even integers is -384. List the three numbers.

A luthier uses different special blends of oil varnishes to finish different instruments. In her workshop, she keeps a 30% strength and a 80% strength version of her favorite varnish product. To finish a viola she has just made, she wants to apply a 50% strength version of the varnish. She will need 1000 mL of the mixture to finish the viola.
Let m be the number of milliliters of 80% strength product. Choose an equation to match the situation.

0.5(1000)=0.3(1000-m)+0.8m

0.5(1000)=0.3(1000+m)-0.8

0.5(1000)=0.8(1000-m)+0.3m

0.5(1000)=0.8(1000+m)-0.3m

In the scenario from question (4), how many milliliters of 30% strength varnish should be used?

Lorraine missed out on Trick or Treating this year, so she bought herself 2 packages of "Take Fives" and 3 packages of "Baby Ruths". The Take Fives cost $3 more than than the Baby Ruths. In total, her candy purchase cost $46 (before tax). Which of the following statements are true? Select all that apply.

A package of Take Five is 3 times the price of a package of Baby Ruths

The cost t in dollars of one package of Take Five is modeled by 2(t-3)+3t=46

The cost b in dollars of one package of Baby Ruths is modeled by 3b+2(b+3)=46

One package of each candy costs $19

Solve the following equation for the value of z.

z=-\frac{19}{3}

z=\frac{1}{7}

z=\frac{1}{3}

z=-\frac{1}{3}

Twelve seniors go to the early-bird buffet.  Five use their AARP memberships to get $2.50  off the "all-you-can-eat" price. In total, the old-timers pay a total of $113.50. What is the price of the buffet without the AARP discount?

$9.50

$10.50

$11.50

$12.50

A luthier uses different special blends of oil varnishes to finish different instruments. In her workshop, she keeps a 30% strength and a 80% strength version of her favorite varnish product. To finish a viola she has just made, she wants to apply a 50% strength version of the varnish. She will need 1000 mL of the mixture to finish the viola.
Let m be the number of milliliters of 80% strength product. Choose an equation to match the situation.

0.5(1000)=0.3(1000-m)+0.8m

0.5(1000)=0.3(1000+m)-0.8

0.5(1000)=0.8(1000-m)+0.3m

0.5(1000)=0.8(1000+m)-0.3m

Lorraine missed out on Trick or Treating this year, so she bought herself 2 packages of "Take Fives" and 3 packages of "Baby Ruths". The Take Fives cost $3 more than than the Baby Ruths. In total, her candy purchase cost $46 (before tax). Which of the following statements are true? Select all that apply.

A package of Take Five is 3 times the price of a package of Baby Ruths

The cost t in dollars of one package of Take Five is modeled by 2(t-3)+3t=46

The cost b in dollars of one package of Baby Ruths is modeled by 3b+2(b+3)=46

One package of each candy costs $19