Scale Factor Answers

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41
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What is the value of x in the equation ?

Question illustration
A
–50
B
–40
C
–8
D
–6
42
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What is the exponential form of the expanded form below?

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A
5 times 10
Option A
B
5 superscript 10
Option B
C
10 superscript 1
Option C
D
10 superscript 5
Option D
43

What is the value of the expression below?

Question illustration
A
2.5
B
4.875
C
11.375
D
26.4
44

Duncan shares 20 percent of all of his sales commissions with his personal assistant. If Duncan earns x dollars in commissions and gives his assistant y dollars, which equation correctly models this situation?

A
x = 0.20 y
Option A
B
y = 0.20 x
Option B
C
x = StartFraction y over 20 EndFraction
Option C
D
y = StartFraction x over 20 EndFraction
Option D
45

The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a total of 24 slices.The Wilson family also orders several large pizzas from the same pizza restaurant. They also cut the pizzas so that all their pizzas have the same number of slices. For the Wilson family, the equation y = 10x represents the relationship, where x represents the number of pizzas and y represents the number of total slices.Which statements best describe the pizzas bought by the Hernandez and Wilson families? Select two options.

A
For the Hernandez family, the equation y = 3x represents the relationship between the number of slices and number of pizzas, where x represents the number of pizzas and y represents the number of total slices.
B
For each family, a graph of the relationship between number of pizzas, x, and number of slices, y, goes through the point (0, 0) and is a straight line.
C
The Hernandez family’s slices are smaller than the Wilson family’s slices.
D
If the Wilson family ordered 3 large pizzas from the same restaurant as the Hernandez family, they would have more slices than the Hernandez family after each family cut their pizzas into slices.
E
The constant of proportionality is 10 for the Wilson family, but cannot be determined for the Hernandez family.
46

Vance ate a salad and of a turkey burger for dinner. The salad contained 80 calories and his entire meal contained 440 calories. Which equation can be used to determine x, the number of calories in the entire turkey burger?

Question illustration
A
440 = four-fifths x + 80
Option A
B
80 = four-fifths x + 440
Option B
C
440 = four-fifths (80) + x
Option C
D
440 = 80 x + four-fifths
Option D
47

There are 3 feet in 1 yard. This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this?

A
StartFraction 12 over 1 EndFraction = StartFraction 4 over 12 EndFraction
Option A
B
One-third = StartFraction 12 over 4 EndFraction
Option B
C
StartFraction 3 over 1 EndFraction = StartFraction 4 over 12 EndFraction
Option C
D
StartFraction 3 over 1 EndFraction = StartFraction 12 over 4 EndFraction
Option D
48

What is the value of x in the equation 0.7x – 1.4 = –3.5?

A
–7
B
–3
C
3
D
7
49

Hanna puts $4,383 in a savings account with an annual interest rate of 5.2 percent for 3 years. Into which variable should she substitute 4,383 in the simple interest formula ?

Question illustration
A
I
B
p
C
r
D
t
50

Which expression is equivalent to ?

Question illustration
A
mc016-2.jpg
Option A
B
mc016-3.jpg
Option B
C
mc016-4.jpg
Option C
D
mc016-5.jpg
Option D

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