SAT Practice

y - √(7y - 31) = 3
What is the sum of all the solutions to the above equation?

• -13
• -3
• 3
• 13

Tags

CCSS.HSA.REI.A.2

If 3 is one of the roots of the equation x² - kx - 15 = 0, where k is a constant, what is the other root of the equation?

• -15
• -5
• 3
• 5

Which of the following represents all solutions (x, y) to the system of equations shown below?
y + 2x² = 3x + 16
         y = -x

• (4, -4) and (-2, 2)
• (-4, 4) and (2, -2)
• (2, -4)
• (4, -2)

Tags

CCSS.HSA.REI.C.7

Each of the 18 tires of a fully loaded semi-truck is bearing approximately 3,300 pounds. The unloaded truck and trailer, with the driver aboard, weighs 30,000 pounds. The truck holds 26 pallets of cargo when it is fully loaded. What is the approximate average weight of one pallet of cargo?

• 1,131 pounds
• 1,280 pounds
• 1,633 pounds
• 1,665 pounds

If 2^(n + 1) = 8, what is the value of n?

• 3
• -1
• 2
• 4

If 9 ≥ 4x + 1, which inequality represents the possible range of values of 12x + 3?

• 12x + 3 ≥ 17
• 12x + 3 ≤ 17
• 12x + 3 ≥ 27
• 12x + 3 ≤ 27

Which of the following integers is in the solution set of
∣1 - 3x∣ < 5?  I. -1  II. 1  III. 2

• II only
• III only
• I and II only
• I, II, and III

(2x−3)(x+4)=0 
Let x=a and x=b be the solutions to the equation above. What is the value of a + b?

• -5/2
• -1/2
• 5/2
• 9.5

Tags

CCSS.HSA-REI.B.4B

(a+b+c)^​2​​

Which of the following is equivalent to the above expression?

• a​^2​​+b​²​​+c​^2​​+2(ab+bc+ca)
• a​^2​​+b​^2​​+c^​2​​
• a​²​​+2abc+c​^2​​
• a​²​​+2ab+b​^2​​+2bc+c​^2​​

Tags

CCSS.HSA.APR.C.4

If x > 0 and 2x² + 3x − 2 = 0, what is the value of x? 

• -2
• 0
• 1/2
• 1

Tags

CCSS.HSA.REI.B.4