Adding and Subtracting Polynomials Answers

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At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.2x + 3y = 1240 x = 2y – 10How many of each type of ticket were sold?

A
180 food tickets and 293 ride tickets
B
180 food tickets and 350 ride tickets
C
293 food tickets and 180 ride tickets
D
350 food tickets and 180 ride tickets
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Shannon graphed the system of equations.7x – 4y= –8y = x – 3What is the closest approximate solution to the system of equations?

Question illustration
A
(–5, –7.2)
B
(–5, –6.8)
C
(–5, –6.2)
D
(–5, –5.9)
43

When a number is added to of itself, the result is 24. The equation that models this problem is n + n = 24. What is the value n?

Question illustration
A
n = 18
B
n = 20
C
n = 21
Option C
D
n = 23
Option D
44

The tables represent the functions f(x) and g(x).

Question illustration
A
x = –12
B
x = –9
C
x = –6
D
x = –3
45

The inverse of the function f(x) = is shown. h(x) = 2x-What is the missing value?

Question illustration
A
1
B
5
C
10
D
20
46

Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.Dance World: y = 15xToe Tappers: y = 25 + 12.5xHow many classes would Gina need to take for the total cost to be the same at both dance studios?

A
10
B
15
C
100
D
150
47

What is the inverse of the function f(x) = 4x + 8?

A
h(x) = x – 2
Option A
B
h(x) = x + 2
Option B
C
h(x) = x – 2
Option C
D
h(x) = x + 2
Option D
48

A mapping diagram shows a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 4), (0, negative 4), (negative 2, 2), (negative 2, negative 1), (1, negative 3), (3, 7).

Question illustration
A
(–3, –4)
B
(–2, –1)
C
(1, –3)
D
(3, 7)
49

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

A
f(x) = 6x – 1
B
f(x) = 8x – 6
C
f(x) = 4x – 14
D
f(x) = 4x – 10
50

Which is the best description of the graph of the function f(x) = 60()x?

Question illustration
A
The graph has an initial value of 20, and each successive term is determined by subtracting .
Option A
B
The graph has an initial value of 20, and each successive term is determined by multiplying by .
Option B
C
The graph has an initial value of 60, and each successive term is determined by subtracting .
Option C
D
The graph has an initial value of 60, and each successive term is determined by multiplying by .
Option D

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