New SAT Math Multiple Choice Practice Test 7

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15 questions

19 minutes

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1. Marco is ordering salt, which is only sold in 30-pound bags. He currently has 75 pounds of salt, and he needs to have a minimum of 200 pounds. Which of the following inequalities shows all possible values for the number of bags, b, that Marco needs to order to meet his minimum requirement?

• A. b ≥ 4
• B. b ≥ 5
• C. b ≥ 6
• D. b ≥ 7

2. A website hopes to sign up 100,000 subscribers. So far, the website has signed up an average of 500 subscribers per day for d days. Which of the following represents the number of additional subscribers, W, the website must sign up to reach its goal?

• A. W = 500d
• B. W = 99,500d
• C. W = 100,000 - 500d
• D. W = 100,000 + 500d

3. If f is a function and f(4) = 5, which of the following CANNOT be the definition of f ?

• A. f(x) = x + 1
• B. f(x) = 2x - 3
• C. f(x) = 3x - 2
• D. f(x) = 4x - 11

4. Which of the following is equivalent to the expression

• A.
• B.
• C.
• D. x-1

5. Régine is measuring how many solutions from Batch x and Batch y are acidic. She measured a total of 100 solutions from both batches. 40% of the solutions from Batch x and 70% of the solutions from Batch y were acidic, for a total of 48 acidic solutions. Solving which of the following systems of equations yields the number of solutions in Batch x and Batch y ?

• A. x + y = 100
0.4x + 0.7y = 48
• B. x + y = 48
0.4x + 0.7y = 100
• C. x + y = 100 × 2
0.4x + 0.7y = 48
• D. x + y = 100
40x + 70y = 48

6.

Which of the following equations best describes the figure above?

• A. y = -x4 + 6
• B. y = -(x2 + 6)
• C. y = -x2 + 6
• D. y = x4 + 6

7. The price of an item that cost \$43 in 2010 always increases by \$3 per year. The current price in dollars, P, of the item can be represented by the equation P = 3t + 10, where t is the number of years since the item was first manufactured. Which of the following best explains the meaning of the number 10 in the equation?

• A. It is the price of the item in 1999.
• B. It is the price of the item in 2000.
• C. It is the price of the item in 2001.
• D. It is the annual increase in the price of the item.

8.

In the circle with center O and radius 10 shown above, ∠AOB = . What is the length of minor arc AB ?

• A. π
• B. 2π
• C. 4π
• D. 20π

9. Clark's Rule is a formula used to determine the correct dosage of adult over-the-counter medicine a child can receive. The child's weight, in pounds, is divided by 150, and the result is multiplied by the adult dose of the medicine. A mother needs to give her daughter acetaminophen, which has an adult dose of 1,000 milligrams. She does not know her daughter's exact weight, but she knows the weight is between 75 and 90 pounds. Which of the following gives the range of correct dosage, d, in milligrams of acetaminophen the daughter could receive?

• A. 50 < d < 60
• B. 500 < d < 600
• C. 1,000 < d < 1,200
• D. 1,600 < d < 2,000

10. Ohm's Law, which can be written as IR = V, relates the current I in amperes that flows through a conductive material with resistance R ohms to the voltage V between the two ends. The power P in watts can be related to I and R by the equation I = . Which of the following gives P in terms of V and R ?

• A. p =
• B. p =
• C. p =
• D. P = V2R3

11.

The figure above shows the graph in the xy-plane of the function g. How many distinct real roots does g have?

• A. 1
• B. 2
• C. 3
• D. 4

12.

Note: Figure not drawn to scale.

In the figure above, ∠ABC ≅ ∠CDE. Which of the following is true?

• A. AB || CD
• B. BC || AE
• C. CD || AE
• D. BCAE

13. For which of the following values of w does ?

• A. 2
• B. 3
• C. 4
• D. 6

14. If r = (a + b)2 and s = -4ab + 3b, what is r - 2s in terms of a and b ?

• A. a2 + b2 - 7ab - 6b
• B. a2 + b2 - 7ab + 6b
• C. a2 + b2 + 9ab - 6b
• D. a2 + b2 + 9ab - 6b

15. Which of the following lines contains all points equidistant from the points (0, 4) and (8, 0) in the xy-plane?

• A. 2y = -x + 8
• B. 2y = x
• C. y = 2x - 6
• D. y = -2x

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