WorksheetsFinal Fall Benchmark Review Set 2
Total questions: 24
Worksheet time: 12mins
Name
Class
Date
1.
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
2.
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
3.
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
4.
A1.F-IF.B.6
A town's population grew from 5,000 people in 2010 to 7,500 people in 2020. What is the slope of the population growth?
a)
260
b)
300
c)
250
d)
150
5.
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
6.
A1.F-IF.B.6
Identify the type of slope shown in the real-life scenario in the picture.
a)
Undefined
b)
Zero
c)
Positive
d)
Negative
7.
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
8.
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
9.
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
10.
A1.A-CED.A.2
Using the linear equation 7x + 3y = -42, solve for the x - intercept.
a)
x = 14
b)
x = -14
c)
x = 6
d)
x = -6
11.
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
12.
A1.A-CED.A.2
Find the y-intercept of this scenario if a fruit vendor sells apples for $3 per kg and bananas for $2 per kg. If a customer buys 12 kg of fruits for $68, write the equation.
The equation equation that represent the problem is
3x + 2y = 68
a)
y = -34
b)
y = 34
c)
y = 68
d)
y = 2
13.
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
14.
A1.A-CED.A.2
Find the x-intercept of this scenario if a farmer earns $20 per sack of rice but spends $10 per sack of fertilizer. If his total income was $300, express the situation as an equation.
The equation equation that represent the problem is
20x – 10y = 300
a)
x = -30
b)
x = 30
c)
x = 15
d)
x = -15
15.
A1.A-CED.A.2
Find the y-intercept of this scenario if a farmer earns $20 per sack of rice but spends $10 per sack of fertilizer. If his total income was $300, express the situation as an equation.
The equation equation that represent the problem is
20x – 10y = 300
a)
y = -30
b)
y = 30
c)
y = -15
d)
y = 15
16.
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
17.
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
18.
A1.A-CED.A.2
Two cyclists ride at 10 km/h and 15 km/h respectively. If they cover a total of 150 km. Solve for the y - intercept
The equation equation that represent the problem is
10x + 15y = 150
a)
y = -15
b)
y = 15
c)
y = -10
d)
y = 10
19.
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
20.
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
21.
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 x-intercept of the problem.
The equation equation that represent the problem is
6x + 4y = 360
a)
x = 60
b)
x = -90
c)
x = -60
d)
x = 90
22.
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
23.
A1.A-CED.A.2
A student gains 3 participation points per class attended but loses 1 point per absence. If his total participation score is 27, express this as an equation and solve for the x-intercept.
The equation equation that represent the problem is
3x - y = 27
a)
x = 27
b)
x = -27
c)
x =9
d)
x = -9
24.
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
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