Slope
Writing Equations & Ineq word problems
Solving Equations & Inequalities
Writing Equations
Functions
100
Describe the slopes of the following line.
m = undefined
100
To rent a trailer, Lowes charges a fee of $50 per day plus $0.20 per mile driven. If the trailer is driven m miles in one day, the equation t = 0.20m + 50 can be used to find the total charges for a 1-day rental. If the store increases the rate per mile driven by $0.10, which equation can be used to determine the new cost of renting the trailer for 1 day and driving m miles?
t = 50 + .30m
100
What value of x makes the following equation true?
6x - 6(3x+4) = 0
x = -2
100
On a graph, a line goes through the points (3,2) and (-2, -8). Which equation below contains these 2 points? (Write it in point slope form)
y+8=2(x + 2)
Or
y - 2 = 2(x - 3)
100
What are x and y intercepts to the linear function
3x + y = 9
x-intercept: (3, 0)
y-intercept: (0, 9)
200
Describe the slopes of the following line.
m = 0
200
The graph below shows the amount of water level in a storage tank as it drained at a constant rate. A second tank drained at the same rate, but it initially held 2 feet less water than the first pool. Which equation would best represent the amount of water, w, in inches remaining in the second pool when it drained for h hours?
w = -2h + 12
200
What is the solution to the following equation?
1/3 x + 6 = 9
x = 9
200
Which equation in standard form has a graph that passes through the point (-4, 2) and has a slope of 9/2?
9x -2y = -40
200
The graph of a function is shown below
Which inequality represents the domain of the function?
All real numbers greater than or equal to -6 and less than 8
300
Describe the slopes of the following line.
m = 3/4
300
The basketball team wants to take a trip to the Rocket’s game.
- The bus cost $350
- The team must pay $12.50 for each player.
- The team must also buy a $35 basketball for each player.
Write an equation that best represents t, the total cost for a team with n players who attend the basketball game.
y = 47.50x + 350
300
Solve for x in the equation below:
3(x-5) = 5x –(3-x)
x = -4
300
y + 268 = 12(x + 20)
300
Mr. Freeman gave his students a 10 problem, multiple choice quiz over equations. In grading the test, he gave students ten points for each correct answers with no partial credit. The graph below represents the score students could make as a function of the number of questions the answered correctly on the quiz. What is the domain of the function, and is the function continuous or discrete?
{0,1,2,3,4,5,6,7,8,9,10}, discrete
400
If the table shows points on a line, what is the slope of this line?
m = 3/2
400
Mrs. P has at most $50 to spend on drinks and food for a party that she is putting on. Drinks are $3 and snacks are $2 each. On the graph below, d, represents drinks, and s, represents the number of snacks that Mrs. P can purchase.
3d + 2s ≤ 50
400
Find the solution set for this inequality
-2x + 4 > -4x + 8
x > 2
400
h(x) = -3x - 10.5
400
People leaving a Chinese restaurant were asked how many egg rolls they purchased and how much they spent. The following function was generated from the data collected.
F(x) = 1.25x
The cost of one egg roll was $1.25. What is the independent variable, x, and the dependent variable, f(x), in this function?
Independent variable (x): number of egg rolls purchased
Dependent variable (y): Total amount paid for the egg rolls
500
What is the slope of the line below?
m = -3
500
Ryan wants to buy his mother some ornaments for Christmas. Reindeer ornaments cost $3 dollars each. Snowman ornaments cost $5 dollars each. If Ryan wants to spend less than $30 on ornaments, which of the following inequalities can be used to determine the number of reindeer ornaments, r, and the number of snowman ornaments, s, he can buy?
5x + 3r < 30
500
Simplify the expression
3.2(4.5x +3.8y) – 4.3(3x) – (2.4x + 6y)
-0.9x + 6.16y
500
Which of the following is equivalent to (put in slope intercept form)
3x – 4y = 6
y = 3/4x - 3/2
500
Given the function f(x) = 5x – 3(3x + 7), determine the value of x when
f(x) = -18
x = -0.75 (or x = -3/4)