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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