Word Problems
Slope & Y-Intercept
Equations
Graphing
Functions
Misc.
100
#4) Alex wants to read 300 pages for a book club. He has already read 40 pages and plans to read 25 pages per day. What equation represents the total number of days, d, that Alex needs to read until he reaches his reading goal, p?
C
p=25d+40
100
#2) The graph represents the amount of water left in a tank based on the number of hours. Which unit would be appropriate for the rate of change in the graph? 
B. gallons/hours
100
#10) Angel needs to solve 12x+24=6(x-3) . What is a first step Angel could use to solve the original equation? LIST TWO.
Distribute 6 and Divide 6
100
17) Write the slope intercept equation for the graph. 
B
y=-x-2
100
#23) Which one of these is NOT a function?
A. {(0,4) (5,2) (2,5) (-4,7)}
B. 
C. 
D. 
D. the graph
100
#1) Let G be a non-zero rational number and let H be an irrational number. What would be the results of the following?
1. \frac{G*H}{H}
2. G-H
1. rational
2. irrational
200
#5) A tank contains 500 liters of juice. Juice is being poured out at a constant rate of 20 liters per minute. What equation represents the number of liters of juice remaining, L, based on the number of minutes, m, since the pouring begain, where 0≤m≤25?
B
L=-20m+500
200
#24) The school is renting a popcorn machine for a school fair. The function C(h)=5h+150 represents the total cost, in dollars, to rent the machine for h hours. What does the 5 represent on C(h)?
D. the slope/cost per hour
200
#8) Given that x is the price of a tulip, and y is the price of a daisy, let the equation 4x−3y=24 represent the total cost, in dollars, of a customer's purchase of a specific bouquet at a flower shop.
What represents the equation when solved for the price of a daisy, y?
A
y=\frac{4}{3}x-8
200
#31) The graph below shows your wallet balance y (in dollars) as a function of x, the number of days the hacker has been active.
Which equation best shows y, the balance remaining, as a function of x, the number of days the hacker withdraws money?
C
y=-0.25x+75
200
#33) Is this table a function, linear function, or neither? Why?
Linear Function because it is changing by equal differences over equal intervals
200
12) Determine the solution for 5(-x+4)<-2x+9
x>\frac{11}{3}
300
#6) A shipping company charges a store to deliver boxes of goods. The total charges include: $3 per box and $6 per pound. The total charges must be at least $500. What inequality models the situation, where B is the number of boxes and P is the total weight in pounds?
A
3B+6P≥500
300
#30) The amount of pastries, p, that Bottle Tree Bakery produced in d days is shown in the table below.
What is the average rate of change for the number of pastries that the bakery produced from day 1 to day 3.
87
300
#13) Solve the following equation for x.
5(x+1)−8x=2−3(x+1)
No Solution
300
#19) Write the inequality for the given graph.
y> -\frac{4}{3}x+\frac{5}{3}
300
#25) If h(t)=t^{4}-4t+7 , then what would be equivalent to h(-3)?
100
300
#20) Pick three points that are solutions to the linear inequality. (0,-3) (-1,0) (-2, -11/2) (3,4) (-4,-8) (5,5)
(0,-3) (-2, -11/2) (-4,-8)
400
#7) Liam is buying stickers online. He wants to buy 12 stickers for his friends and some additional stickers for himself. Each sticker costs $0.75, and Liam can spend up to $20 in total.
What inequality can be solved for n, the number of additional stickers Liam can buy for himself?
D
0.75(12+n)≤20
400
#29) The graph below shows how much profit, in dollars y, the Drama Club will make from selling x tickets.
How much does the value of y increase for every ticket a Drama Club member sells?
$3.50
400
#9) Solve for x. Write both solutions (whole answer and broken heart answer)
4x+2y=n-y
x=\frac{n}{4}-\frac{3y}{4} and x=\frac{n-3y}{4}
400
#32) Which equation best represents the graph?
C
4x+5y=20
400
#22) Lila decided to grow a sunflower. She measured the height of her plant each day for 25 days. After she watched and measured the plant for 25 days, she determined the height of the plant, in centimeters, is equal to the function h(t), where h(t)=0.5(t−2)+8, and t is the number of days that have passed since the seed was planted. Evaluate the value of h(t) at h(35).
24.5 centimeters
400
#28) A rocks distance from the ground is charted by the function that is graphed below, where x represents the time, in seconds, from when the rock was thrown and y represents the distance, in meters, from the ground. What is the domain?
0lexle4
500
#26) The school cafeteria started with $500 in the cash register at the beginning of the day.
After 1 hour, the register had $470 left.
After 3 hours, the register had $410 left.
Which function represents the amount of money M(h) in the register after h hours?
C
M(h)=-30h+500
500
#27) The table shows the total cost for different numbers of hours when renting a paddleboat in Houston. What would be the initial cost and the cost per hour?
The initial cost of renting a bicycle is $19, with each hour of use costing an additional $7.
500
16) Given this equation 8x+2y=40, solve for the x-intercept and y-intercept. Then, sketch a graph of this.
x-intercept: (5,0)
y-intercept: (0,20)
500
#15) If x=9, what value of y is a solution to this equation?
B. -12
500
#18) Consider the following equation. 4y=3x+12 Determine whether each of the ordered pairs is a solution to the equation. Select Yes or No for each ordered pair.
1. (-2,\frac{3}{2}) 2. (-3,0) 3. (4,6)
1. yes 2. no 3. yes
500
#3) A sign says a distance of 180,576 inches to the nearest park. Sarah converted the distance in inches to miles. What would be an approximate representation of the distance in miles that Sarah calculated?
2.85 miles