Nys Grade 8 Math Assessment
Review for your 8th grade regents test. This test uses questions from previous Regents exams.
Questions and Answers
- 1.
Simplify the followingexpression: 12ab+8ab+5ab
- A.
3ab
- B.
25ab
- C.
25(3ab)
- D.
25+ab
Correct Answer
B. 25abExplanation
The given expression can be simplified by combining like terms. The terms 12ab, 8ab, and 5ab all have the same variables (a and b), so we can add their coefficients (the numbers in front of the variables) together. 12ab + 8ab + 5ab equals 25ab. Therefore, the simplified expression is 25ab.Rate this question:
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- 2.
In Mr. Jenkin’s science class, the students heated a beaker of water on a burner. When the experiment began, the temperature of the water was 20°C. After 8 minutes, the temperature was 60°C. Sixteen minutes after the start of the experiment, the temperature was 100°C and remained at 100°C for the next 8 minutes. Which graph shows the change in temperature of the water in the beaker, y, over time in minutes, x ?
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
D. DExplanation
Graph D shows the change in temperature of the water in the beaker over time. The graph starts at 20°C and gradually increases to 60°C after 8 minutes. Then, it continues to increase to 100°C after 16 minutes and remains at 100°C for the next 8 minutes. This matches the given information in the question, making graph D the correct representation of the temperature change over time.Rate this question:
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- 3.
Which term best describes AC in the right triangle shown below?
- A.
Leg
- B.
Hypotenuse
- C.
Base
- D.
Altitude
Correct Answer
B. HypotenuseExplanation
The term "hypotenuse" best describes AC in the right triangle shown. The hypotenuse is the side opposite the right angle and is the longest side of the triangle. In this case, AC is the side opposite the right angle and is longer than the other two sides (legs) of the triangle.Rate this question:
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- 4.
Mr. Sanders used a diagonal board to divide a rectangular garden into two equal sections as shown in the diagram below. What is the length of the diagonal?
- A.
12 meters
- B.
13 meters
- C.
14 meters
- D.
15 meters
Correct Answer
B. 13 metersExplanation
In a rectangle, the diagonal is the hypotenuse of a right triangle formed by the length and width of the rectangle. Using the Pythagorean theorem, we can find the length of the diagonal. Let's assume the length of the rectangle is x and the width is y. The diagonal (d) can be calculated as d = sqrt(x^2 + y^2). Since the garden is divided into two equal sections, the length and width are equal, so we can substitute x = y. Therefore, d = sqrt(2x^2) = sqrt(2) * x. Given that the length of the garden is 13 meters, the length of the diagonal is 13 * sqrt(2) = 13 meters.Rate this question:
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- 5.
Solve the equation below for x. 9(x -5) 5=4x - 5
- A.
8
- B.
10
- C.
-8
- D.
-10
Correct Answer
A. 8Explanation
To solve the equation, we can start by distributing the 9 to both terms inside the parentheses: 9x - 45 + 5 = 4x - 5. Then, we can combine like terms by adding 45 and 5 to both sides of the equation: 9x = 4x + 45. Next, we can isolate the variable x by subtracting 4x from both sides: 5x = 45. Finally, we can solve for x by dividing both sides by 5: x = 9. Therefore, the correct answer is 8.Rate this question:
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- 6.
Which term best describes the transformation shown below?
- A.
Dilation
- B.
Rotation
- C.
Reflection
- D.
Translation
Correct Answer
D. Translation -
- 7.
Jerome surveyed 643 skateboarders and found that 209 of them preferred wood skateboards to plastic or aluminum skateboards. Based on the number of people surveyed, what is the most reasonable estimation of the percent of skateboarders who preferred wood skateboards?
- A.
10%
- B.
30%
- C.
40%
- D.
50%
Correct Answer
B. 30%Explanation
Based on the survey results, 209 out of 643 skateboarders preferred wood skateboards. To estimate the percentage, we can divide the number of skateboarders who preferred wood (209) by the total number of skateboarders surveyed (643) and multiply by 100. This calculation gives us approximately 32.5%. Since we are looking for the most reasonable estimation, the closest option is 30%, which is the correct answer.Rate this question:
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- 8.
The distance between two cities on a map is 2 inches. The map was drawn using the scale shown below. ***1 inch = 344 miles*** What is the actual distance, in miles, between the two cities?
- A.
86
- B.
344
- C.
688
- D.
1,032
Correct Answer
C. 688Explanation
The scale on the map shows that 1 inch represents 344 miles. Therefore, to find the actual distance between the two cities, we need to multiply the distance on the map (2 inches) by the scale factor (344 miles). This gives us 2 inches * 344 miles/inch = 688 miles.Rate this question:
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.png "Which term best describes AC in the right triangle shown below?")
.png "Mr. Sanders used a diagonal board to divide a rectangular garden into two equal
sections as shown in the diagram below.
What is the length of the diagonal?")
.png "Which term best describes the transformation shown below?")
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