Question: 1) Given that f(x) = 2x + 1 and g(x) =3X-1/2, solve for g(f(3)). 1)5 2)7 3)9 4)10 2) The function c(x) = 3x 4

1) Given that f(x) = 2x + 1 and g(x) =3X-1/2, solve for g(f(3)).

1)5

2)7

3)9

4)10

2) The function c(x) = 3x 4 determines how many cupcakes need to be purchased for a birthday party, where x is the number of kids at the party. The party planner uses d(c(x)) to find the amount of money to bring for the cupcake purchase. The function d(x) = 2x + 5. Solve for how much money to bring when there are 7 kids at the party.

1)17

2)19

3)25

4)39

3) Given f(x) =4X+1/3, solve for f1(3).

1) 2

2)4

3)6

4)8

4) Of the following options, what could be a possible first step in solving the equation 3x 1 = 2x + 4?

1)Combining like terms, 3x + 2x = 5x

2)Subtracting 1 from both sides of the equation

3)Subtracting 2x from both sides of the equation

4)Adding 4 to both sides of the equation

5) Jessica is saving money for a new sailboat. She has already saved $1,000 and plans to save $150 per week. This situation can be represented by the function f(x) = 1,000 + 150x, where x is the number of weeks. How much money has Jessica saved after 12 weeks?

1)$1,000

2)$1,800

3)$2,800

4)$3,000

6) Solve the following for y: 6x + 2y = 8

1)y = 6x + 8

2)y = 6x + 8

3)y = 3x + 4

4)y = 3x + 4

7) Consider a graph of the equation y = 4x 5. What is the y-intercept?

1)5

2)5

3)4

4)4

8) Use the points below to answer this question:

First Point= ( -1/2 , 0 )

Second Point=( 0 , 1 )

Find the average rate of change for the given function from x = 1 to x = 2.

1)2

2) -1/2

3)1/2

4)2

9) A cable company uses the function f(h) = 30h + 60 to calculate the total repair bill, f(h), for h number of hours worked. Find h if

f(h) = $150.

1)1 hour

2)3 hours

3)4,500 hours

4)4,560 hours

10) What is the equation in point-slope form of the line passing through (1, 9) and (1, 11)?

1)y + 9 = (x 1)

2)y 9 = 1(x + 1)

3)y + 9 = 1(x + 1)

4)y 9 = (x 1)

11) What is the equation of a vertical line passing through (5, 2)?

1)x = 5

2)y = 2

3)x = 7

4)y = 3

12) What is the equation, in slope-intercept form, of the line that passes through (0, 5) and has a slope of 1?

1)y = x 5

2)y = x + 5

3)y = x + 5

4)y = x 5

13) Gregor is documenting the height of pea plants each week. He has determined the function to be f(x) = 2x + 1, where x represents time and f(x) represents the height of the plant. Which of the following options describes the restrictions to the domain (x) and range f(x) correctly?

1)Domain, nonnegative values; range, values greater than 0.5

2)Domain, nonnegative values; range, values less than 0.5

3)Domain, nonnegative values; range, values less than or equal to 1

4)Domain, nonnegative values; range, values greater than or equal to 1

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