Writing and Solving Equations in Two Variables Answers

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Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles she needs to sell to earn $100. 1.25x + 1.49 = 100What error did Barbara make in writing the equation?

A
Barbara’s equation did not consider the number of bottles of water.
B
Barbara’s equation did not consider the number of bottles of iced tea.
C
Barbara’s equation did not use the correct price for the bottles of iced tea.
D
Barbara's equation did not use the correct total for sales.
2
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Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation , where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.)

Question illustration
A
$1.75
B
$2.06
C
$2.39
D
$3.99
3

What is the value of x in the equation 8x – 2y = 48, when y = 4?

A
6
B
7
C
14
D
48
4

Malik’s solution to the equation , when , is shown below. What error did Malik make first when solving the equation ?

Question illustration
A
Malik did not multiply correctly.
Option A
B
Malik added 240 to each side of the equation.
C
Malik did not multiply correctly.
Option C
D
Malik substituted 60 for y instead of x.
5

The perimeter of the scalene triangle is 54.6 cm.Which equation can be used to find the value of b if side a measures 8.7 cm?

Question illustration
A
8.7 plus b equals 54.6
Option A
B
17.4 plus b equals 54.6
Option B
C
26.1 plus b equals 54.6
Option C
D
34.8 plus b equals 54.6
Option D
6

An isosceles triangle in which the two equal sides, labeled x, are longer than side y.

Question illustration
A
2 x minus 2.1 equals 7.5
Option A
B
4.2 plus y equals 7.5
Option B
C
y minus 4.2 equals 7.5
Option C
D
2.1 plus 2 x equals 7.5
Option D
7

What is the value of m in the equation , when ?

Question illustration
A
20
B
32
C
44
D
48
8

The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of new-release and classic movies bought?

A
x = 8, y = 45
B
x = 10, y = 22
C
x = 16, y = 22
D
x = 18, y = 18
9

What is the value of x in the equation 2x + 3y = 36, when y = 6?

A
8
B
9
C
27
D
36

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