Applications of Linear Functions
Distance/Mdpt
Functions
Linear Equations
Linear Equations /Inequalities
100
A person's intelligence quotient is found by multiplying the mental age by 100 and dividing by the chronological age. Jack is 7 years old. His IQ is 130. Find his mental age.
9.1 years
100
Find the midpoint of A(-1, 16) and B(5, -8)
(2, 4)
100
Is the following relation a function? {(1, 2), (2, 2), (4, 3), (3, 2)}
Yes
100
Write the equation of the line through (-2, 8), parallel to y=-x
y= -x + 6
100
State whether the equation is an identity or a contradiction. Give the solution set. 5-4x= 5x - (9 +9x)
Contradiction The solution set is the empty set (zero with a line through it)
200
A company produces DVDs. The revenue is expressed as R(x)=8x. The cost to produce DVDs is C(x)=3x+1500. In what interval will the company at least break even?
[300, infinity)
200
Find the distance between P(-6, -10) and Q(6, 5) *Simplify your answer
3sqrt(41)
200
Write {x| x < -2} in interval notation
(-infinity, -2)
200
Find the zero of f(x) = 5x - 30
6
200
State whether the equation is an identity or a contradiction. Give the solution set. .5(x - 2) + 12 = .5x + 11
Identity ; (-infinity, infinity)
300
A chemist wishes to strengthen a mixture that is 10% alcohol to one that is 30% alcohol. How much pure alcohol should be added to 12 liters of the 10% mixture?
3.43 or 24/7
300
Find the distance between A(-1, 16) and B(5, -8) *Simplify your answer
6sqrt(17)
300
Determine the domain and range of y=x^2 + 3
D: (-infinity, infinity) R: [3, infinity)
300
Find the zero of f(x) = -8x + .5(2x + 8)
4/7 or .57
300
Solve the inequality and write the solution in interval notation -1x/2 + .7x - 5 > 0
(25, infinity)
400
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
1500 children and 700 adults
400
Given the midpoint of PQ is (1.55, -2.75) and P is (-10.32, 8.55). Find the coordinates of Q.
(13.42, -14.05)
400
Evaluate f(x)=-x^2 - x - 6 at x=3
-18
400
Solve the equation analytically. Be sure to write your solution as a set. (x-2)/4 + (x+1)/2 = 1
{4/3}
400
Solve the inequality and write the solution in interval notation -4 < 2x - 1 < 5
(-3/2 , 3)
500
Jimbo wins $50,000 playing the lottery. He must pay 25% back in taxes. He invests the rest at 2.5% interest and 3.2% interest. After one year, he makes a total of $1102.60 in interest. How much money did Jimbo invest at each percent interest?
$13,914.29 and $23, 585.71
500
Given P(12y, -3y) and Q(20y, 12y) find the distance.
17y
500
Evaluate f(x) = sqrt(x^3 +12) at x = -2
2
500
Solve the equation analytically. 3/4 + 1x/5 - 1/2 = 4x/5
{5/12}
500
Solve the inequality and write the solution in interval notation 1 < (4x - 5) / -2 < 9
(- 13/4 , 3/4)
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