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Word Problems
Summertime
Linear Functions
Functions & Systems
100
Evaluate f(-1)
f(x) = x2 -3x +2
f(-1) = 6
100
Write as an inequality: Eight less than three times a number is greater than fifteen.
3x - 8 > 15
100
When is the Algebra I regents? (day and time)
June 17th at 7:30 am
100
Use Point-Slope Form: What is an equation of the line that passes through (3,7) and has a slope of 2?
y2 - y1 = m (x2 - x1)
y − 7 = 2(x − 3)
100
What is the range of:
f(x)=abs(x+2)-5
y>=-5
200
Solve for x:
4x - 5 - 3x + 2 - 2x = 9
x = -12
200
Write an equation: One-half of a number is 8 less than two-thirds of the number
(1/2)x = (2/3)x - 8
200
When is the first day of summer?
June 21; the summer solstice
200
Use Slope-Intercept Form: What is an equation of the line that passes through the point (−2,−8) and has a slope of 3?
y=mx+b
y = 3x − 2
200
What is the domain of:
f(x)=x^2+x-12
(-oo,oo)
300
Anne: 7x7 + 6x5 - 3x3 + 8x
300
Robin spent $17 at an amusement park for admission and rides. If she paid $5 for admission, and rides cost $3 each, write an equation that can be used to find, r, the number of rides she went on.
5 + 3r = 17
300
What state in the US has the hottest average summer temps?
Florida
300
Explain why (3,-4) is a solution to 2y + 3x = 1.
When the equation is graphed on a calculator, the point can be found within its table.
Substituting x = 3 and y = -4 into the equation makes it true.
The graph of the line passes through the point (3,-4).
300
Solve the following system of equations graphically:
(5 , 4) and (-1, -2)
400
Solve for x:
x2 + 4x - 11 = 0
*hint* Use Quadratic Formula
x=(-b+-sqrt(b^2-4ac))/(2a)
x=-2+-sqrt(15
400
Rhonda has $1.35 in nickels and dimes in her pocket. If she has six more dimes than nickels, which equation can be used to determine x, the number of nickels she has?
0.05x + 0.10(x + 6) = 1.35
400
Which country has won the most FIFA World Cups?
Brazil (5)
400
An astronaut drops a rock off the edge of a cliff on the Moon. The distance, d(t), in meters, the rock travels after t seconds can be modeled by the function d(t) = 0.8t2. What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped?
slope = (y2-y1)/(x2-x1)
12
400
A function is shown in the table below.
If included in the table, which ordered pair, (−4,1) or (1,−4), would result in a relation that is no longer a function? Explain your answer.
(−4,1), because then every element of the domain is not assigned one unique element in the range.
500
What is the product of 2x + 3 and 4x2 - 5x + 6?
8x3 + 2x2 - 3x + 18
500
Carol plans to sell twice as many magazine subscriptions as Jennifer. If Carol and Jennifer need to sell at least 90 subscriptions in all, write an inequality to determine how many subscriptions, x, Jennifer needs to sell.
2x + x > 90
500
Who sings Summertime?
DJ Jazzy Jeff & Will Smith
500
Which of the equations listed below represent the line passing through the points (2,3) and (4,−7)?
5x + y = 13
y + 7 = −5(x − 4)
y = −5x + 13
y − 7 = 5(x − 4)
5x + y = 13
y + 7 = −5(x − 4)
y = −5x + 13
500
Graph the system of inequalities:
State the coordinates of a point that satisfies both inequalities. Justify your answer.
Any point that falls within the double-shaded area.