New SAT Math (No Calculator) Practice Test 6
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A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?
30
20
19
18
(x – 6)2 + (y + 5)2 = 16
In the xy-plane, the graph of the equation above is a circle. Point P is on the circle and has coordinates (10, -5). If is a diameter of the circle, what are the coordinates of point Q ?
(2, −5)
(6, −1)
(6, −5)
(6, −9)
f(x) = x3 – 9x
g(x) = x2 – 2x – 3
Which of the following expressions is equivalent to , for x > 3?
What is the solution set of the equation above?
{−1}
{5}
{−1, 5}
{0, −1, 5}
y > 2x – 1
2x > 5
Which of the following consists of the y-coordinates of all the points that satisfy the system of inequalities above?
y > 6
y > 4
y > 5⁄2
y > 3⁄2
The width of a rectangular dance floor is w feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of w ?
2w + 6
4w + 12
w2 + 6
w2 + 6 w
In the figure above, RT = TU. What is the value of x ?
72
66
64
58
The formula below is often used by project managers to compute E, the estimated time to complete a job, where O is the shortest completion time, P is the longest completion time, and M is the most likely completion time.
Which of the following correctly gives P in terms of E, O, and M ?
P = 6E - O - 4M
P = -6E + O + 4M
The graph above shows the distance traveled d, in feet, by a product on a conveyor belt m minutes after the product is placed on the belt. Which of the following equations correctly relates d and m ?
d = 2m
d = 1⁄2m
d = m + 2
d = 2m + 2
3x + x + x + x − 3 − 2 = 7 + x + x
In the equation above, what is the value of x ?
-5⁄7
1
12⁄7
3
In the circle above, point A is the center and the length of arc is 2⁄5 of the circumference of the circle. What is the value of x ?
A start-up company opened with 8 employees. The company’s growth plan assumes that 2 new employees will be hired each quarter (every 3 months) for the first 5 years. If an equation is written in the form y ax b = + to represent the number of employees, y, employed by the company x quarters after the company opened, what is the value of b ?
− x + y = −3.5
x + 3y = 9.5
If (x,y) satisfies the system of equations above, what is the value of y ?
The sum of −2x2 + x + 31 and 3x2 + 7x − 8 can be written in the form ax2 + bx + c, where a, b, and c are constants. What is the value of a + b + c ?
x2 + x − 12 = 0
If a is a solution of the equation above and a > 0, what is the value of a ?
g(x) = 2x −1
h(x) = 1 – g(x)
The functions g and h are defined above. What is the value of h(0)?
−2
zero
1
2
y = x2 +3 −7
y = −5 + 8 = 0
How many solutions are there to the system of equations above?
There are exactly 4 solutions.
There are exactly 2 solutions.
There is exactly 1 solution.
There are no solutions.
Oil and gas production in a certain area dropped from 4 million barrels in 2000 to 1.9 million barrels in 2013. Assuming that the oil and gas production decreased at a constant rate, which of the following linear functions f best models the production, in millions of barrels, t years after the year 2000?
f(t) = t + 4
f(t) = t + 4
f(t) = − t + 4
f(t) = − t + 4
If = 1⁄2, what is the value of b⁄a?
1⁄8
1⁄4
2
4
Which of the following could be the equation of the graph above?
y = x(x − 2)(x + 3)
y = x2(x − 2)(x + 3)
y = x(x + 2)(x - 3)
y = x2(x + 2)(x - 3)
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