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WorksheetsSolving Linear Functions
Total questions: 20
Worksheet time: 20mins
Evaluate f(2):
f(x)=3x+1
7
9
11
13
If g(x)=2x+5, what is the value of g(4)?
(a)
Evaluate f(-5) if f(x) = -2x - 12
-22
-2
-19
-5
Evaluate f(-2) if f(x) = x+3
-1
1
5
-5
A
B
C
D
given g(x)= 5x+7 find f(10)
120
66
57
What is the range of the following graph?
All real numbers.
All integers.
Any real number greater than zero.
It can not be determined.
Which is an equation of the line that passes through the points
(-1, 1) and (1, 3)?
x = 1
y = -x + 2
y = x + 2
y = -x + 3
The school is selling raffle tickets as a fundraiser. The profit from the tickets can be modeled by the equation
p(x) = 3x - 35,
where x is the number of tickets sold. Which best describes the possible domain?
All real numbers greater than 0.
All whole numbers.
Any rational number greater than 0.
All integers.
The total cost for parking at and entering a soccer match is a function of the number of hours parked. The parking lot charges 15 dollars per hour, and you paid $150 for your ticket. You are only allowed to park for eight hours. What is the maximum value of the range for this situation?
$270
$150
$15
$1200
What is the equation in standard form of the line that passes through the point (-1, 7) and has a slope of -2?
2x + y = 5
-2x + y = 5
2x + y = -9
-1x + 7y = -2
Which is an equation of the line that passes through the point (2, -3) and has a slope of -4?
y + 2 = -4(x - 3)
y + 3 = -4x - 2
y - 3 = -4(x - 2)
y + 3 = -4(x - 2)
Mr. Cabs is calculating the cost of his wedding, questioning his decision to get married. The cost for the wedding comes out to $25,000. This price accounts for 75 wedding guests. But, his wife wants to invite more people, and each additional guest will add $200 to the bill. Which function can be used to find the amount of money Mr. Cabs will have to pay with g guests, where g ≥ 75?
c = 200(g - 75) + 25000
c = 200g + 25000
c = g/200 + 25000
c = [(g - 75)/200] + 25000
Which situation can be represented by
y = 17x - 8?
The number of seeds, y, needed to feed 8 hamsters 17 seeds each.
The earnings from a lemonade stand, y, selling glasses at 17 dollars each with $8 in the tip jar.
The cost, y, of buying 17 movie tickets that sell for $8 each.
The cost, y, of buying Star Wars figurines at $17 each with an $8 discount.
Which of the following equations are represented by the graph?
I. y = 3x + 2
II. 3x - y = 2
III. y - 2 = 3(x - 1)
IV. y - 3 = 3(x - 5/3)
I and II
II and III
II and IV
I and IV
Line g is graphed.
Which equation describes a line parallel to g that passes through the point
(1, 2)?
y = -2x + 5
y = -2x + 3
y = (1/2)x - 1
y = -2x -1
The equation for line g is
y = (-1/3)x + 2.
Which equation describes the line perpendicular to g that passes through the point (-2, 2)?
y = (-1/3)x + 4/3
y = (-1/3)x - 2
y = 3x + 4
y = 3x + 8
Write the equation of the line parallel to the x-axis that passes through the point (5,1). What is the slope of this line?
y=1; undefined
y=1; zero
y=5; zero
x=5; undefined
Function ƒ is graphed.
What is the domain of ƒ?
{ x | -3 ≤ x ≤ 2 }
{ x | -2 ≤ x ≤ 4 }
{ y | -2 ≤ y ≤ 4 }
{ y | -3 ≤ y ≤ 2 }
Function ƒ is graphed.
What is the range of ƒ?
{ y | 1 ≤ y ≤ -2 }
{ y | -2 ≤ y ≤ 1 }
{ y | 5 ≤ y ≤ -3 }
{ y | -3 ≤ y ≤ 5 }
