SAT Math 1

Consider the system of equations below. How many solutions does this system have?
y=3x
x=3y

• 0
• 1
• 2
• Infinitely many

Tags

CCSS.HSA.REI.C.7

A tea infuser in the shape of a right rectangular pyramid is 7.9 centimeters (cm) tall and has a base 3.0 cm long and 1.5 cm wide. To make the best tea, the infuser should be 80% filled with tea. What is the volume of tea, in cubic centimeters (cm^3), needed to fill the infuser to 80% of its capacity? Round to the nearest tenth. 

• 4.7 cm^3
• 9.5 cm^3
• 11.9 cm^3
• 28.4 cm^3

Tags

CCSS.HSG.GMD.A.3

In August 2009, Usain Bolt ran 100 meters in 9.58 seconds, setting the world record at that time. There are approximately 1.094 yards in a meter. What was Usain Bolt's average speed in yards per second?

• 9.54 yd/s
• 9.58 yd/s
• 10.44 yd/s
• 11.42 yd/s

Tags

CCSS.6.RP.A.3D

A marine aquarium has a small tank and a large tank, each containing only red and blue fish. In each tank, the ratio of red fish to blue fish is 3 to 4. The ratio of fish in the large tank to fish in the small tank is 46 to 5. What is the ratio of blue fish in the small tank to red fish in the large tank?

• 15:184
• 10:69
• 69:10
• 184:15

If 3x-y = 12, what is the value of 8^x / 2^y?

• 2^12
• 4^4
• 8^2
• The value cannot be determined from the information given

If x is the average of m and 9, y is the average of 2m and 15, and z is the average of 3m and 18, what is the average of x, y, and z in terms of m?

• m+6
• m+7
• 2m+14
• 3m+21

Tags

CCSS.8.EE.C.7B

A customer's monthly water bill was $75.74. Due to a rate increase, her monthly bill is now $79.86. To the nearest tenth of a percent, by what percent did the amount of the customer's water bill increase?

• 4.1%
• 5.1%
• 5.2%
• 5.4%

Tags

CCSS.6.RP.A.3C

A motor powers a model car so that after starting from rest, the car travels s inches in t seconds, where s = 16t √(t). Which of the following gives the average speed of the car, inches per second, over the first t seconds after it starts?

• 4√(t)
• 16√(t)
• 16 / √(t)
• 16t

The growth rate of the sunflower from day 14 to day 35 nearly constant. On this interval, which of the following equations best models the height h, in centimeters, of the sunflower t days after it begins to grow?

• h = 2.1t - 15
• h = 4.5t - 27
• h = 6.8t -12
• h = 13.2t - 18

What is the real value of x in the equation log₂ 24 - log₂ 3 = log₅ x ?

• 3
• 21
• 72
• 125