1)Suppose x = 2y - 7. What is x, if y = 5?
A) 0
B) 1
C) 3
D) 5
2)Consider the net of a triangular prism where each unit on the coordinate plane represents four feet. If a sheet of plywood measures 4 ft x 8 ft, how many sheets of plywood will a carpenter need to build the prism?
A) 2
B) 3
C) 4
D) 5
3)
Which data set does the box plot represent?
A) {54, 66, 81, 80, 57, 53, 69, 68, 70, 60, 70}
B) {56, 66, 81, 80, 57, 55, 69, 68, 71, 60, 70}
C) {54, 66, 79, 78, 59, 56, 69, 71, 70, 60, 70}
D) {56, 66, 83, 80, 58, 58, 69, 68, 70, 60, 71}
4)Find the area of the polygon.
A) 96 cm2
B) 192 cm2
C) 208 cm2
D) 224 cm2
5)Evaluate if x = -3
3x - 4
A) -13
B) -7
C) -1
D) 5
6)Consider that point A is located at (x, y) in Quadrant I of the coordinate plane. In which quadrant is point B with coordinates (-x, y) located?
7)Which equation is BEST illustrated by the picture?
A) 3(10 + 2) = 10(2) + 3(2)
B) 3(10 + 2) = 3(10) + 3(2)
C) 3(10 + 2) = 3(10) + 2
D) 3(10 + 2) = 3(2) + 10
( Please help having trouble trying to calculate and understand this )
1 is easy. Substitute 5 for y and solve the equation.
I'll be glad to check your work and answer for number 1. Then, I'll help you with the second one.
x = 2(5)-7
2*5 =10
10 - 7 = 3
x = 3
am I right ?
Yes, 3 is right.
2. Sorry, but I don't understand that problem.
3. and 4. Insufficient information
5. This looks easy. Substitute.
6. I don't know.
7. No picture.
Please repost questions 2 and 6 and a more knowledgeable math tutor may be able to help you.
5) Answer is A
3(-3)-4
-9+-4 = -13
(Remember to switch the signs when subtracting negative numbers)
#1 = 3.
x = 3.
1) To find the value of x when y = 5 in the equation x = 2y - 7, substitute the value of y into the equation:
x = 2(5) - 7
x = 10 - 7
x = 3
Therefore, the value of x when y = 5 is 3.
2) To determine how many sheets of plywood a carpenter will need to build the prism, we need to find the total surface area of the prism and then divide it by the area of one sheet of plywood.
The net of a triangular prism consists of two triangular bases and three rectangular faces. The dimensions of the plywood sheet are 4 ft x 8 ft, so the area of one sheet is 4 ft x 8 ft = 32 square feet.
To calculate the surface area of the prism:
- Determine the area of each triangular base: Since the base is a triangle, its area is (base x height) / 2. Let's assume the base and height of each triangle are 4 units and 8 units, respectively. Thus, the area of each triangular base is (4 x 8) / 2 = 16 square units.
- Determine the area of each rectangular face: The dimensions of the rectangle are 4 units (base) and 8 units (height). Therefore, the area of each rectangular face is 4 units x 8 units = 32 square units.
- Calculate the total surface area of the prism: Since there are two triangular bases and three rectangular faces, the total surface area is 2 times the area of the base plus 3 times the area of the rectangular face. Given that the area of the base is 16 square units and the area of the rectangular face is 32 square units, the total surface area is 2(16) + 3(32) = 32 + 96 = 128 square units.
Now, to determine the number of sheets needed, divide the total surface area of the prism by the area of one sheet of plywood:
Number of sheets = Total surface area of prism / Area of one sheet
Number of sheets = 128 square units / 32 square units
Number of sheets = 4
Therefore, the carpenter will need 4 sheets of plywood to build the prism.
3) To determine which dataset the box plot represents, we need to analyze the characteristics of the box plot, such as the minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum values.
Without the actual box plot provided, it is difficult to determine the correct dataset. To identify the dataset, you would need to know the values corresponding to the minimum, lower quartile, median, upper quartile, and maximum depicted on the box plot. Comparing these values with the given options will help you choose the correct dataset.
4) To find the area of a polygon, you need to know the specific shape and measurements of the polygon. Without this information or a depiction of the polygon, it is impossible to determine the correct answer. Please provide the necessary details to solve this question.
5) To evaluate the expression 3x - 4 when x = -3, substitute the value of x into the expression:
3(-3) - 4
-9 - 4
-13
Therefore, when x = -3, the value of 3x - 4 is -13.
6) Point A is located in Quadrant I, which means its x and y coordinates are both positive. If point B has coordinates (-x, y), it means the x-coordinate is negated while the y-coordinate remains the same. In this case, since point A is in Quadrant I, point B will be located in Quadrant II. In Quadrant II, x-coordinates are negative, and y-coordinates are positive.
7) To determine which equation is best illustrated by the picture, you would need the actual picture or description of the visual representation. Without this information, it is difficult to select the correct equation.