New SAT Math (No Calculator) Practice Test 9
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If a2 + b2 = z and ab = y, which of the following is equivalent to 4 +8 z y ?
(a + 2b)2
(2a + 2b)2
(4a + 4b)2
(4a + 4b)2
y = x2
2y + 6 = 2(x + 3)
If (x, y) is a solution of the system of equations above and x > 0, what is the value of xy ?
1
2
3
9
In air, the speed of sound S, in meters per second, is a linear function of the air temperature T, in degrees Celsius, and is given by ST(T) = 0.6T + 331.4. Which of the following statements is the best interpretation of the number 331.4 in this context?
The speed of sound, in meters per second, at 0°C
The speed of sound, in meters per second, at 0.6°C
The increase in the speed of sound, in meters per second, that corresponds to an increase of 1°
The increase in the speed of sound, in meters per second, that corresponds to an increase of 0.6°C
Jackie has two summer jobs. She works as a tutor, which pays $12 per hour, and she works as a lifeguard, which pays $9.50 per hour. She can work no more than 20 hours per week, but she wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation in terms of x and y, where x is the number of hours
she tutors and y is the number of hours she works as a lifeguard?
12x + 9.5y ≤ 220 x + y ≥ 20
12x + 9.5y ≤ 220 x + y ≤ 20
12x + 9.5y ≥ 220 x + y ≤ 20
12x + 9.5y ≥ 220 x + y ≥ 20
Which of the following is equivalent to the sum of the expressions a2 − 1 and a + 1 ?
a2 + a
a3 − 1
2a2
a3
In the equation above, k is a constant. If x = 9, what is the value of k ?
1
7
16
79
Which of the following is an example of a function whose graph in the xy-plane has no x-intercepts?
linear function whose rate of change is not zero
A quadratic function with real zeros
A quadratic function with no real zeros
A cubic polynomial with at least one real zero
What are the solutions of the quadratic equation 4x2 − 8x − 12 = 0?
x = −1 and x = −3
x = −1 and x = 3
x = 1 and x = −3
x = 1 and x = 3
The circle above with center O has a circumference of 36. What is the length of minor arc ?
9
12
18
36
Which of the following is an equation of line A in the xy-plane above?
x = 1
y = 1
y = x
y = x + 1
Intersecting lines r, s, and t are shown below
What is the value of x ?
The expression above is equivalent to , where a is a positive constant and x ≠ −2. What is the value of a ?
y = 2x
The system of equations above has solution (x, y). What is the value of x ?
2(p + 1) + 8(p – 1)1 = 5p
What value of p is the solution of the equation above?
Maria plans to rent a boat. The boat rental costs $60 per hour, and she will also have to pay for a water safety course that costs $10. Maria wants to spend no more than $280 for the rental and the course. If the boat rental is available only for a whole number of hours, what is the maximum number of hours for which Maria can rent the boat?
Alan drives an average of 100 miles each week. His car can travel an average of 25 miles per gallon of gasoline. Alan would like to reduce his weekly expenditure on gasoline by $5. Assuming gasoline costs $4 per gallon, which equation can Alan use to determine how many fewer average miles, m, he should drive each week?
f(x) = 2x + 1
The function f is defined by the equation above. Which of the following is the graph of y = −f(x) in the xy-plane?
At a restaurant, n cups of tea are made by adding t tea bags to hot water. If t n = +2, how many additional tea bags are needed to make each additional cup of tea?
None
One
Two
Three
Which of the following is equivalent to 93⁄4 ?
√3
3√3
The volume of right circular cylinder A is 22 cubic centimeters. What is the volume, in cubic centimeters, of a right circular cylinder with twice the radius and half the height of cylinder A?
11
22
44
66
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