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PREP07 Test 2	If r is the remainder when the positive integer n is divided by 7, what is the value of r ?(1) When n is divided by 21, the remainder is an odd number.(2) When n is divided by 28, the remainder is 3.
PREP07 Test 2	If d is a positive integer and f is the product of the first 30 positive integers, what is the value of d ?(1) (10)^d is a factor of f.(2) d > 6
Ready4	Is the positive integer $x$ a multiple of $12$ ? (1) $\frac{x}{2}$ is a multiple of $6$ . (2) $2x$ is a multiple of $24$ .
Ready4	What is the area of rectangle $Q$ ? (1) Each diagonal of $Q$ has length $13$ . (2) The perimeter of $Q$ is $34$ .
Ready4	Hose $X$ runs at a constant rate and can fill a pool in 10 hours. Hose $Y$ also runs at a constant rate. How much time would it take to fill the pool if both Hoses $X$ and $Y$ were run simultaneously? (1) Hose $X$ fills the pool 1.5 times faster than Hose $Y$ . (2) In 10 hours, Hose $Y$ has more than half the pool filled.
Ready4	What is the number of $360^{\circ}$ rotations that a scooter wheel made while rolling $50$ meters in a straight line without slipping? (1) The diameter of the scooter wheel is $100$ millimeters. (2) The area of the wheel is $2500\pi$ square millimeters.
Ready4	In the $xy$ -plane shown, the shaded region consists of all points that lie above the graph of $y=x^2+8x$ and below the $x$ -axis. Does the point $(s,t)$ (not shown) lie in the shaded region if $t < 0$ ? (1) $t=s^2+8s$ (2) $-8 < s < 0$
Ready4	Is the positive integer $x$ a multiple of 48? (1) $x$ is a multiple of 4. (2) $x$ is a multiple of 12.
Ready4	A bag holds 12 balls, each of which is colored white, black, gray, or green. If a person is to select a ball randomly from the bag, is the probability less than $\frac{1}{2}$ that the ball selected will be either white or green? The probability that the person will select a gray ball is $\frac{1}{3}$ . The probability that the person will select a green ball is $\frac{1}{6}$ .
Ready4	Is the triangle above a right triangle? (1) In an $xy$ -plane, $P$ has coordinates $(-2,-3)$ . (2) In an $xy$ -plane, $Q$ has coordinates $(4,-4)$ and $R$ has coordinates $(4,1)$ .
Ready4	What is the area of rectangle $T$ ? (1) The width of rectangle $T$ is $7$ . (2) The perimeter of rectangle $T$ is $62$ .
Ready4	A small throw rug with a border of uniform width is shown. The width of the rug, not including the border, is 5 feet. What are the dimensions of the rug, including the border? (1) The border has width of 1 foot and the area of the rug, not including the border, is $30 \text{ ft}^{2}$ . (2) The area of the rug, including the border, is $56 \text{ ft}^2$ .
Manhattan	What is the area of circle O?(1) The circumference of circle O measures $$24\pi$$ inches.(2) The diameter of circle O measures 24 inches.
Manhattan	Given the figure to the right, what is $$y_2$$?(1) $$y_1$$ is 1.5(2) $$x_1$$ is -2
Manhattan	If x is a positive integer, is x even?(1) $$x^4$$ is even(2) $$4x$$ is even
Manhattan	What is x?(1) $$x^2 + 3x + 2 = 0$$(2) $$x \lt 0$$
Manhattan	If ABCD is a trapezoid, where AB is parallel to CD, what is the area of ABCD?(1) $$2(AB) + CD = 12$$(2) The height of the trapezoid is 5 inches
Manhattan	What is the value of x?(1) $$x^{ 2} – 5 x + 6 = 0$$(2) x > 0
Manhattan	If $$xy \neq 0$$, what percent is x of y?(1) x = 3y(2) x — y = 6
Manhattan	If$$\sqrt{x}=y$$, what is the value of x?(1) y = 2(2) x > 0