100% on this please i cant fail.
Systems Of Linear Equations Introduction Quick Check
1. The green shape is a dilation of the black shape. What is the scale factor of the dilation?
A. 1/2
B. 1/4
C. 5
D. 2
2. Solve the following linear equation for x.
2 (x - 5) + 3x = x + 6
3. Which expression is equivalent to (5^2)^4 times 5^5?
A. 5^30
B. 5^40
C. 5^11
D. 5^13
4. 4 cm radius and height is 10 cm. Find the surface area of the cylinder. Use the formula SA = 2πr^2 + 2πrh. Use 3.14 for π. Round your answer to the nearest tenth.
5. This table represents a proportional relationship.
x: 1, 1.5, 2, 2.5
y: 4, 6, 8, 10
Which graph represents a proportional relationship with the same unit rate as the table?
1. D. 2
2. x = -3
3. A. 5^30
4. Surface Area = 2π(4)^2 + 2π(4)(10) = 2(3.14)(16) + 2(3.14)(40) = 100.48 cm^2
5. The graph representing the proportional relationship with the same unit rate as the table would be a straight line passing through the origin.
2. Solve the following linear equation for x.
2 (x - 5) + 3x = x + 6
2(x - 5) + 3x = x + 6
2x - 10 + 3x = x + 6
5x - 10 = x + 6
4x = 16
x = 4
Therefore, x = 4.
4. 4 cm radius and height is 10 cm. Find the surface area of the cylinder. Use the formula SA = 2πr^2 + 2πrh. Use 3.14 for π. Round your answer to the nearest tenth.
Given:
Radius (r) = 4 cm
Height (h) = 10 cm
π = 3.14
Surface Area of the cylinder formula: SA = 2πr^2 + 2πrh
Substitute the values:
SA = 2(3.14)(4)^2 + 2(3.14)(4)(10)
SA = 2(3.14)(16) + 2(3.14)(40)
SA = 100.48 cm^2
Therefore, the surface area of the cylinder with a radius of 4 cm and height of 10 cm is approximately 100.5 cm^2.
4. 4 cm radius and height is 10 cm. Find the surface area of the cylinder. Use the formula SA = 2πr^2 + 2πrh. Use 3.14 for π. Round your answer to the nearest tenth.
A. 301.7 cm^2
B. 351.7 cm^2
C. 140.4 cm^2
D. 500 cm^2
Given:
Radius (r) = 4 cm
Height (h) = 10 cm
π = 3.14
Surface Area of the cylinder formula: SA = 2πr^2 + 2πrh
Substitute the values:
SA = 2(3.14)(4)^2 + 2(3.14)(4)(10)
SA = 2(3.14)(16) + 2(3.14)(40)
SA = 100.48
Rounded to the nearest tenth, the surface area is 100.5 cm^2.
Therefore, the correct answer is not in the provided options.