WorksheetsFALL Review
Total questions: 29
Worksheet time: 15mins
Name
Class
Date
1.
A1.A-CED.A.2
Write a linear equation in slope - intercept form.
m = -6 b = -9
a)
y = -9x - 6
b)
y = -6x - 9
c)
y = -6x + 9
d)
y = 6x - 9
2.
A1.A-CED.A.2
The equation 𝑦 = 4𝑥 + 2 represents the number of tickets sold at a school event, where 𝑥 is the number of hours since sales started.
Which statement about the graph is correct?
a)
The graph starts at (0, 2), and the number of tickets increases by 4 each hour.
b)
The graph starts at (0, 4), and the number of tickets increases by 2 each hour.
c)
The graph starts at (-2, 0), and the number of tickets increases by 4 each hour.
d)
The graph starts at (0, 2), and the number of tickets decreases by 4 each hour.
3.
A1.A-CED.A.2
Write a linear equation in slope - intercept form.
Slope = 5/7 and y - intercept = 6
a)
y = 7/5x + 6
b)
y = 5/7x - 6
c)
y = 7/5x - 6
d)
y = 5/7x + 6
4.
A1.A-CED.A.2
Write the linear equation in slope intercept form.
a)
y = 5/2x +1
b)
y = -2/5x - 1
c)
y = 2/5x - 1
d)
y = -5/2x + 1
5.
A1.A-CED.A.2
Which graph best represents the equation y = -3x + 4?
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
6.
A1.A-CED.A.2
In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
a)
y = 20x + 5
b)
y = 5x + 20
c)
y=-5x + 20
d)
y = 5x - 20
7.
A1.A-CED.A.2
Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.
a)
y = 4x + 1.50
b)
y = 1.50x + 4
c)
y = -4x +1.50
d)
y = 4x - 1.50
8.
A1.A-CED.A.2
An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the situation.
a)
y = 30,000x + 2,000
b)
y = - 2,000x + 30,000
c)
y = - 2,000x - 30,000
d)
y = -30,000x + 2,000
9.
A1.A-CED.A.2
A swimming pool has 500 liters of water. Each hour, 30 liters are drained. Four students wrote equations to represent the remaining water y after x hours. Which student’s equation is correct?
a)
y = 30x + 500
b)
y = 500x - 30
c)
y = -30x + 500
d)
y = -500x - 30
10.
Which situation could be described by y = −20x + 100? (negative slope)
a)
A student earns $20 per hour starting with $100.
b)
A balloon rises 20 feet per minute starting at 100 feet.
c)
A car drives 20 miles per hour starting from 100 miles.
d)
A person has $100 and spends $20 per day
11.
Which situation could be described by the equation y = 15x + 50? (positive slope)
a)
A car’s gas tank starts with 50 liters and gains 15 liters every hour while being refilled.
b)
A phone battery starts at 50% and loses 15% every hour.
c)
A runner begins 50 meters from the finish line and moves 15 meters backward each second.
d)
Your bank account starts with $50, and you withdraw $15 each day.
12.
Which of the following situations could be described by the equation y = -25x + 120? (negative slope)
a)
There are 120 people in the football stadium, and 25 more are entering each hour.
b)
A teacher has 120 students. Her third period has 25 students
c)
A plumber charges $25 for a house call and $120 per hour.
d)
There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute.
13.
A1.F-IF.B.6
Find the slope of the graph.
a)
0
b)
undefined
c)
1
d)
-1
14.
A1.F-IF.B.6
John is a civil engineer and he is trying to calculate the slope of a road that passes through two points with coordinates (-6,4) and (6,-5). What is the slope of the road?
a)
-3/4
b)
3/4
c)
4/3
d)
-4/3
15.
A1.F-IF.B.6
Jack is running away from the Giant, and he has a pretty good head start. After 5 seconds, he is 43 feet away from the Giant (5,43). After 10 seconds, Jack is 58 feet away (10, 58). Find the rate of change (slope).
a)
8.6 feet per second
b)
3 feet per second
c)
5.8 feet per second
d)
5 feet per second
16.
A1.F-IF.B.6
At 0 seconds, Mrs. Taylor was 10 feet off the ground
(0, 10). At 5 seconds, she was 20 feet off the ground
(5, 20). What is her rate in feet per second?
a)
10 feet per second
b)
2 feet per second
c)
5 feet per second
d)
6 feet per second
17.
A1.F-IF.B.6
A climber is on a hike. After 2 hours, he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?
a)
200
b)
300
c)
150
d)
75
18.
A1.F-IF.B.6
Maria is hiking up a mountain trail. At one checkpoint, she is at an elevation of 200 feet after walking 2 miles. Later, at another checkpoint, she reaches an elevation of 500 feet after walking 5 miles. What is the slope of the trail between these two checkpoints?
a)
100
b)
200
c)
300
d)
400
19.
A1.F-IF.B.6
A car rental company records the total cost of renting a car.
After 2 days, the cost is $120.
After 5 days, the cost is $270.
What is the rate of change in the cost per day?
a)
$30 per day
b)
$40 per day
c)
$45 per day
d)
$50 per day
20.
A1.A-CED.A.2
Apply the concept of solving a linear equation in two variables and solve for the x - intercept of -4x - y = 108
a)
x = -108
b)
x = 108
c)
x = 27
d)
x = -27
21.
A1.A-CED.A.2
Using the linear equation 9x - 6y = -54 solve for the y - intercept.
a)
y = 9
b)
y = -9
c)
y = 6
d)
y = -6
22.
A1.A-CED.A.2
Find the x-intercept of this scenario if a store sells shirts for $20 each and pants for $35 each. If a customer spent $700 in total, write the equation representing this situation. The equation equation that represent the problem is 20x + 35y = 700
a)
x = 35
b)
x = -35
c)
x = 20
d)
x = -20
23.
A1.A-CED.A.2
Find the y-intercept of this scenario if A store gained $5 for each pen sold but lost $3 for each damaged notebook. If the total profit was $45.
The equation equation that represent the problem is
5x - 3y = 45
a)
y = -9
b)
y = 9
c)
y = 15
d)
y = -15
24.
A1.A-CED.A.2
Evaluate the x-intercept of this scenario if a company makes $50 profit per product A and loses $30 per defective product B. If the net income was $200, form the equation.
The equation equation that represent the problem is
50x – 30y = 200
a)
x = 200
b)
x = 4
c)
x = -4
d)
x = -200
25.
A1.A-CED.A.2
Evaluate the y-intercept of this scenario if a bus travels at 60 km/h and a car travels at 80 km/h. If they cover 640 km combined in one day, write the equation.
The equation equation that represent the problem is
60x + 80y = 640
a)
y = 8
b)
y = -8
c)
y = 10.67
d)
y = -10.67
26.
A1.A-CED.A.2
A company makes $50 profit per product A and loses $30 per defective product B. If the net income was $200, identify the x - intercept.
The equation equation that represent the problem is
50x – 30y = 200
a)
x = 66.67
b)
x = 30
c)
x = 4
d)
x = 50
27.
A1.A-CED.A.2
A restaurant sells burgers for $6 each and hotdogs for $4 each. After issuing $20 in discounts, the total sales was $100. Apply the concept of solving equations in two variables and find the y-intercept of the problem.
The equation equation that represent the problem is
6x + 4y = 360
a)
y = 90
b)
y = 60
c)
y = 360
d)
y = 10
28.
A1.A-CED.A.2
A food truck sells tacos for $4 each and burritos for $6 each but lost $10 from spoiled food. If total income was $90, find its y-intercept
The equation equation that represent the problem is
4x + 6y = 102
a)
y = 25.5
b)
y = 17
c)
y = -17
d)
y = -26
29.
A1.A-CED.A.2
A fundraiser earns $5 per popcorn sold but loses $3 for each unsold box. If the total collection is $100. Given the equation, identify the x-intercept of the given equation,
5x - 3y = 100
a)
x = -33.33
b)
x = 20
c)
x = -20
d)
x = 33.33
100 %
