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PREP07 Test 1
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If $${M}={4}^{\frac{1}{2}}+{4}^\frac{1}{3}+{4}^\frac{1}{4}$$, then the value of M is
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Magoosh
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Given that x $$\neq$$ 0, is $$\sqrt[3]{x}\gt\sqrt[5]{x}$$?Statement #1: x < 1Statement #2: x > –1
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190124
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Does the parabola f(x)=a$$x^{2}$$+2x-2 intersect with the line g(x)=-2x+3?
1：f(1)=-1
2：a=2
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OG21 OG2022
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For all real numbers a, b, c, d, e，and f，the operation θ is defined by the equation （a, b, c） θ （d, e，f） = ad + be + cf. What is the value of (1,-2, 3)θ(1,-$$\frac{1}{2}$$, $$\frac{1}{3}$$)?
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OG18-数学分册
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Is the positive integer n odd?(1) $$n^{2} + {(n+1)}^{2} + {(n+2)}^{2}$$ is even.(2) $$n^{2} - {(n+1)}^{2} - {(n+2)}^{2}$$ is even.
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Is r>-1?(1) r>-5(2) r<16
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OG18-数学分册
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A total of 5 liters of gasoline is to be poured into two empty containers with capacities of 2 liters and 6 liters, respectively, such that both containers will be filled to the same percent of their respective capacities. What amount of gasoline, in liters, must be poured into the 6-liter container?
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Mary passed a certain gas station on a highway while traveling west at a constant speed of 50 miles per hour. Then, 15 minutes later, Paul passed the same gas station while traveling west at a constant speed of 60 miles per hour. If both drivers maintained their speeds and both remained on the highway for at least 2 hours, how long after he passed the gas station did Paul catch up with Mary?
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OG16 OG17 OG18 OG19 OG20 OG2022
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 Figures X and Y above show how eight identical triangular pieces of cardboard were used to form a square and a rectangle, respectively. What is the ratio of the perimeter of X to the perimeter of Y?
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If x< 0, then $$\sqrt{-x|x|}$$ is
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191020
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Is 2n+1 a multiple of 3?
(1)the remainder is 1 when n is divided by 3
(2)the remainder is 4 when n is divided by 6
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Manhattan
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What is the value of $$3^{x-y}$$ ?
(1) $$3^{x+1} = 243$$
(2) $$3^{y–1} = 27$$
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Manhattan
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If n is a nonzero integer, is $$x^n < 1$$?(1) $$x \gt 1$$(2) $$n \gt 0$$
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OG18-数学分册
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If n is positive, is $$\sqrt{n} > 100$$?(1) $$\sqrt{n - 1} > 99$$(2) $$\sqrt{n + 1} >101$$
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OG19-数学分册
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If n is positive, is $$\sqrt{n}$$ > 100?
(1) $$\sqrt{(n-1)}$$> 99
(2) $$\sqrt{(n+1)}$$> 101
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191020
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It is given that: $$T_n$$ = 1 + 2 +3+. . . + n, so is $$T_n$$ an odd number?
1: $$T_{n+1}$$ is odd
2: $$T_{2n}$$ is even
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OG18-数学分册
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If a basketball team scores an average (arithmetic mean) of x points per game for n games and then scores y points in its next game, what is the team's average score for the n + 1 games?
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OG19 OG20 OG2022
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The value of $$\frac{\frac{7}{8}+\frac{1}{9}}{\frac{1}{2}}$$ is closest to which of the following ?
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In the xy-coordinate system, if (a,b) and (a+3,b+k) are two points on the line defined by the equation x=3y- 7, then k =
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$$\frac{(\frac{1}{2})^{-2}}{2^{-2}}$$
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