Untitled Presentation
Presentation
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Mathematics
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1st Grade
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Practice Problem
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Hard
+15
Standards-aligned
Kimberly Kautzman
FREE Resource
38 Slides • 28 Questions
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Multiple Choice
Which of the following formulas is used to calculate the volume of a sphere?
V = Bh
V = 1/3 Bh
V = 4/3 πr^3
V = πr^2h
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Open Ended
Why is understanding formulas for area, volume, and surface area important in real-life situations?
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Fill in the Blanks
The formula for the volume of a sphere is V =
Type answer...
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Multiple Choice
A fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closest to the volume of water in the fishbowl in cubic inches?
2,144.66 in³
17,157.28 in³
5,461.67 in³
6,433.98 in³
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Open Ended
Explain how you would use the scatterplot to predict the speed of sound at a temperature not shown in the data. What mathematical method would you use and why?
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Multiple Choice
Based on the scatterplot, what is the best prediction of the speed of sound when the air temperature is 50°C?
350 m/s
355 m/s
360 m/s
365 m/s
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Multiple Choice
Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria?
45,000x + 2,500x = 54,000x + 1,500x
45,000x + 2,500 = 54,000x + 1,500
45,000 + 2,500x = 54,000 + 1,500x
45,000x + 2,500x = 54,000x + 1,500
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Multiple Choice
Which list shows these lengths in order from greatest to least? (Plumber W: 3/25 in, Plumber X: √3/11 in, Plumber Y: 9/100 in, Plumber Z: π/24 in)
9/100, π/24, 3/25, √3/11
√3/11, π/24, 3/25, 9/100
9/100, 3/25, π/24, √3/11
√3/11, 3/25, π/24, 9/100
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Open Ended
How do you determine if a relation is a function from a set of ordered pairs?
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Multiple Select
A relation contains the points (1, 2), (2, –1), (3, 0), (4, 1), and (5, –1). Which statement accurately describes this relation?
The relation does not represent y as a function of x, because each value of x is associated with a single value of y.
The relation represents y as a function of x, because one value of y is associated with two values of x.
The relation does not represent y as a function of x, because each value of y is associated with two values of x.
The relation represents y as a function of x, because each value of x is associated with a single value of y.
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Multiple Choice
Which measurement is closest to the shortest distance in miles from Natasha's house to the library?
2.6 mi
1.9 mi
1.4 mi
2.3 mi
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Multiple Choice
Which equation can be used to find V, the volume of the cylinder in cubic feet, if the cylinder has a diameter of 12 feet and a height of h feet?
V = π(6)^2h
V = π(6h)^2
V = π(12)^2h
V = π(12h)^2
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Fill in the Blanks
A container is shaped like a triangular prism. Each base of the container is an equilateral triangle with sides of 6 cm. The container has a height of 15 centimeters. The lateral surface area of the container in square centimeters is
Type answer...
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Multiple Choice
An employee put $5,000.00 in a retirement account that offers 9% interest compounded annually. The employee makes no additional deposits or withdrawals. Which amount is closest to the interest the employee will have earned at the end of 5 years?
$229.09
$450.00
$2,250.00
$2,693.12
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Multiple Choice
Which table shows the relationship between the time in seconds, x, and the height of the balloon in feet, y, given that after 5 seconds the height is 20 feet and the balloon rises at a constant rate?
F
H
G
J
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Multiple Choice
Which Venn diagram correctly represents the relationship between rational numbers and irrational numbers?
A
B
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D
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Multiple Choice
Based on the information that Rudolfo has 15 toys in his toy box and adds 2 new toys every month, which representation best shows the relationship between the number of toys Rudolfo has in his toy box, y, and the number of months that have passed, x?
F
H
G
J
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Multiple Choice
Which rule best represents the dilation that has been applied to triangle JKL to create triangle J'K'L'?
(x, y) → (x + 6, y - 3)
(x, y) → (x + 4.5, y + 3)
(x, y) → (1/2 x, 1/2 y)
(x, y) → (7/4 x, 7/4 y)
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Fill in the Blanks
A gym charges a membership fee plus an additional fee per yoga class. The table shows the linear relationship between the number of yoga classes taken and the total cost including the membership fee. What is the additional fee per yoga class?
Type answer...
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Multiple Choice
Joseph ran a 6-mile race in 48 minutes. Which graph has a slope that best represents Joseph’s average rate of speed during the race?
F
H
G
J
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Multiple Choice
Which list shows these numbers in order from least to greatest? 37/6, –5.17, √33, 26/5
26/5, –5.17, 37/6, √33
–5.17, 26/5, 37/6, √33
26/5, –5.17, √33, 37/6
–5.17, 26/5, √33, 37/6
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Multiple Choice
Which rule describes the transformation when pentagon VWXYZ is reflected across the x-axis to create pentagon V'W'X'Y'Z'?
(x, y) → (x, –y)
(x, y) → (x, y + 8)
(x, y) → (–y, x)
(x, y) → (–x, y)
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Multiple Choice
An investor puts $2,500 into a life insurance policy that pays 8.5% simple annual interest. If no additional investment is made into the policy, how much accumulated interest should the investor expect at the end of 10 years?
$21,250.00
$2,125.00
$212.50
$21.25
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Fill in the Blanks
What is the solution to the equation 2x + 3 = x – 4?
Type answer...
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Open Ended
Given the dimensions of the cone and cylinder shown, explain how you would determine which container holds more volume and why.
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Multiple Choice
Which situation can be represented by the equation 7x + 1 = 10x?
Brody ran at a constant rate of 7 miles per hour in a race. Candice ran at a constant rate of 10 miles per hour in a race and started 1 mile in front of the starting point. What is x, the number of hours that Brody and Candice would have to run in order for their distance to be the same?
Brody played a game where he scored 8 points per hour. Candice played the game and scored 10 points per hour. What is x, the number of hours that Brody and Candice would each have to play the game in order for their scores to be the same?
Brody went to two different amusement parks. The first park charged $7 per hour and gave a 1% discount for showing a student ID. The other park charged $10 per hour. What is x, the number of hours that Brody would have to stay at each park to have to pay the same amount?
Brody rode his bicycle on two different days. The first day he rode 7 miles per hour and started 1 mile from his house. The second day he started from his house and rode 10 miles per hour. What is x, the number of hours that Brody would have to ride his bicycle to travel the same distance on both days?
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Open Ended
Reflect on the formulas provided in the STAAR Grade 8 Mathematics Reference Materials. Which formula or concept do you find most useful or interesting, and why?
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Multiple Choice
Which formula would you use to find the area of a trapezoid?
A = 1/2(b1 + b2)h
A = bh
A = πr^2
A = 1/2bh
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