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Questions in Grade High-school

[Open]Select the correct answer. Which equation is equivalent to the given equation? [tex]$x^2-6 x=8$[/tex] A. [tex]$(x-6)^2=44$[/tex] B. [tex]$(x-3)^2=17$[/tex] C. [tex]$(x-6)^2=20$[/tex] D. [tex]$(x-3)^2=14$[/tex]

[Open]What expression is equivalent to [tex]$\left(5 z^2+3 z+2\right)^2$[/tex] ? A. [tex]$5 z^4+3 z^2+4$[/tex] B. [tex]$5 z^4+9 z^2+4$[/tex] C. [tex]$25 z^4+30 z^3+19 z^2+12 z+4$[/tex] D. [tex]$25 z^4+30 z^3+29 z^2+12 z+4$[/tex]

[Open]If [tex]f(-2)=0[/tex], what are all the factors of the function [tex]f(x)=x^3-2 x^2-68 x-120[/tex]? Use the Remainder Theorem. A. [tex](x+2)(x+60)[/tex] B. [tex](x-2)(x-60)[/tex] C. [tex](x-10)(x+2)(x+6)[/tex] D. [tex](x+10)(x-2)(x-6)[/tex]

[Open]Use the distributive property to write an equivalent expression. $7(q-4 r+1)$

[Open]Love, which can't be observed or measured directly, is an example of a psychological construct. True or False?

[Open]A tub filled with 50 quarts of water empties at a rate of 2.5 quarts per minute. Let $y$ = quarts of water left in the tub and $t$ = time in minutes. | Time (t) | Quarts of water (y) | |---|---| | 0 | 50 | | 2 | 45 | | 4 | 40 | Choose the correct answers. Which equation models the relationship? Is there a viable solution when time is 30 minutes?

[Open]The degree of the polynomial [tex]10 x^2+2 x^m y-4 y[/tex] is 3. What is the value of [tex]m[/tex]?

[Open]Read the last stanza from Allen Ginsberg's "A Supermarket in California." "Ah, dear father, graybeard, lonely old courage-teacher, what America did you have when Charon quit poling his ferry and you got out on a smoking bank and stood watching the boat disappear on the black waters of Lethe?" At the end of his poem, Ginsberg uses these allusions to convey a feeling of A. hopefulness that modern-day America can turn back the hands of time. B. doom and gloom caused by the pressure of conforming with the middle-class American society. C. sadness since the speaker will never experience the same America as in Whitman's day. D. pride and appreciation for his fellow poet's role in American literary history.

[Open]Use synthetic division to find the result when [tex]2 x^3-4 x^2-x-9[/tex] is divided by [tex]x-3[/tex]. If there is a remainder, express the result in the form [tex]q(x)+\frac{r(x)}{b(x)}[/tex].

[Open]Use the distributive property to write an equivalent expression. [tex]$9(4 p+6 q-7)$[/tex]