TCAP Review Questions

Quiz
•
Mathematics
•
8th Grade
•
Hard
Jennifer Cross
FREE Resource
59 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the combined mass of Earth and the Moon? Express your answer in scientific notation. Show your work.
6.0434 × 10^24 kilograms
5.972 × 10^24 kilograms
7.348 × 10^22 kilograms
1.989 × 10^30 kilograms
Answer explanation
The mass of Earth is approximately 5.972 × 10^24 kg and the Moon is about 7.348 × 10^22 kg. Adding these gives 6.0434 × 10^24 kg, which is the combined mass of Earth and the Moon.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many more kilograms is the mass of Earth than the mass of the Moon? Express your answer in scientific notation.
5.8966 × 10^24 kilograms
4.5678 × 10^23 kilograms
3.4567 × 10^25 kilograms
2.3456 × 10^22 kilograms
Answer explanation
The mass of Earth is approximately 5.972 × 10^24 kg, and the mass of the Moon is about 7.342 × 10^22 kg. The difference is 5.972 × 10^24 kg - 7.342 × 10^22 kg = 5.8966 × 10^24 kg, which is the correct answer.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
About how many times as great is the mass of Earth as the mass of the Moon? Express your answer in scientific notation.
81.34
10.34
50.12
100.45
Answer explanation
The mass of Earth is approximately 81.34 times greater than the mass of the Moon. This ratio is derived from their respective masses, with Earth being about 5.97 x 10^24 kg and the Moon about 7.35 x 10^22 kg.
4.
OPEN ENDED QUESTION
3 mins • 1 pt
Which sequence of transformations is performed so that Figure 1 is congruent to Figure 2?
Evaluate responses using AI:
OFF
Answer explanation
To make Figure 1 congruent to Figure 2, a sequence of transformations including rotation and translation is performed. This aligns the corresponding sides and angles of both figures.
5.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Based on the equations above, which statements are true? Mark all that apply.
A. Stan’s equation suggests that a person’s height is approximately 7.5 times his or her head length.
B. Olivia’s equation suggests that a person’s height is approximately 2.2 times his or her head length.
C. Olivia’s equation indicates that a person with a head length of 8 inches would likely be about 63.4 inches tall.
D. Stan’s equation indicates that a person 69 inches tall would likely have a head length of about 9 inches.
E. The y-intercept in Stan’s equation indicates that a person with a head length of 0 would likely be about 7.5 inches tall.
Answer explanation
A is true as Stan's equation shows height is 7.5 times head length. C is true since 8 inches head length gives 63.4 inches height. D is true as 69 inches tall corresponds to about 9 inches head length. E is also true for the y-intercept.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Answer explanation
The equation y = x^2 + 3 is a function because for every x-value, there is exactly one corresponding y-value. This satisfies the definition of a function, confirming the correct answer.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Line XY is parallel to line segment AC as shown in the figure below. Name two similar triangles shown in the figure.
△ABX and △ACX
△ABC and △AXY
△BXY and △BAC
△AXY and △BCA
Answer explanation
Triangles △ABX and △ACX are similar because line XY is parallel to line AC, creating corresponding angles that are equal. This similarity is a result of the Angle-Angle (AA) similarity criterion.
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