1. (Test1/Q $5 /$ No Calculator)
$$ \left(x^{2} y-3 y^{2}+5 x y^{2}\right)-\left(-x^{2} y+3 x y^{2}-3 y^{2}\right) $$ Which of the following is equivalent to the expression above?
| A) $4 x^{2} y^{2}$
B) $8 x y^{2}-6 y^{2}$ C) $2 x^{2} y+2 x y^{2}$ D) $2 x^{2} y+8 x y^{2}-6 y^{2}$ |
2. (Test $1 / Q 13 /$ No Calculator)
If $x>3$, which of the following is equivalent to $\frac{1}{\frac{1}{x+2}+\frac{1}{x+3}}$ ?
| A) $\frac{2 x+5}{x^{2}+5 x+6}$
B) $\frac{x^{2}+5 x+6}{2 x+5}$ C) $2 x+5$ D) $x^{2}+5 x+6$ |
3. (Test1/Q $29 /$ Calculator)
For a polynomial $p(x)$, the value of $p(3)$ is $-2$. Which of the following must be true about $p(x)$ ?
| A) $x-5$ is a factor of $p(x)$.
B) $x-2$ is a factor of $p(x)$. C) $x+2$ is a factor of $p(x)$. D) The remainder when $p(x)$ is divided by $x-3$ is $-2$. |
4. (Test2/Q 4/No Calculator)
$$ 9 a^{4}+12 a^{2} b^{2}+4 b^{4} $$ Which of the following is equivalent to the expression shown above?
| A) $\left(3 a^{2}+2 b^{2}\right)^{2}$
B) $(3 a+2 b)^{4}$ C) $\left(9 a^{2}+4 b^{2}\right)^{2}$ D) $(9 a+4 b)^{4}$ |
5. (Test2/Q 17/No Calculator)
$$ 2 x(3 x+5)+3(3 x+5)=a x^{2}+b x+c $$ In the equation above, $a, b$, and $c$ are constants. If the equation is true for all values of $x$, what is the value of $b$ ?
6. (Test3/Q 7/No Calculator)
\begin{array}{|c|c|} \hline x & f(x) \\ \hline 0 & 3 \\ \hline 2 & 1 \\ \hline 4 & 0 \\ \hline 5 & -2 \\ \hline \end{array} The function $f$ is defined by a polynomial. Some values of $x$ and $f(x)$ are shown in the table above. Which of the following must be a factor of $f(x)$ ?
| A) $x-2$
B) $x-3$ C) $x-4$ D) $x-5$ |
7. (Test3/Q 13/No Calculator)
The equation $\frac{24 x^{2}+25 x-47}{a x-2}=-8 x-3-\frac{53}{a x-2}$ is true for all values of $x \neq \frac{2}{a}$, where $a$ is a constant. What is the value of $a$ ?
| A) $-16$
B) $-3$ C) 3 D) 16 |
8. (Test $3 / Q 6 /$ Calculator)
$$ \begin{aligned} &3 x^{2}-5 x+2 \\ &5 x^{2}-2 x-6 \end{aligned} $$ Which of the following is the sum of the two polynomials shown above?
| A) $8 x^{2}-7 x-4$
B) $8 x^{2}+7 x-4$ C) $8 x^{4}-7 x^{2}-4$ D) $8 x^{4}+7 x^{2}-4$ |
9. (Test3/Q 33/Calculator)
$$ \left(-3 x^{2}+5 x-2\right)-2\left(x^{2}-2 x-1\right) $$ If the expression above is rewritten in the form $a x^{2}+b x+c$, where $a, b$, and $c$ are constants, what is the value of $b$ ?
10. (Test4/Q 5/No Calculator)
$$ 3(2 x+1)(4 x+1) $$ Which of the following is equivalent to the expression above?
| A) $45 x$
B) $24 x^{2}+3$ C) $24 x^{2}+18 x+3$ D) $18 x^{2}+6$ |
11. (Test5/Q 6/No Calculator)
Which of the following is equivalent to the sum of the expressions $a^{2}-1$ and $a+1$ ?
| A) $a^{2}+a$
B) $a^{3}-1$ C) $2 a^{2}$ D) $a^{3}$ |
12. (Test5/Q 8/Calculator)
Which of the following is an equivalent form of $(1.5 x-2.4)^{2}-\left(5.2 x^{2}-6.4\right) ?$
| A) $-2.2 x^{2}+1.6$
B) $-2.2 x^{2}+11.2$ C) $-2.95 x^{2}-7.2 x+12.16$ D) $-2.95 x^{2}-7.2 x+0.64$ |
13. (Test6/Q 4/No Calculator)
$$ 4 x^{2}-9=(p x+t)(p x-t) $$ In the equation above, $p$ and $t$ are constants. Which of the following could be the value of $p$ ?
| A) 2
B) 3 C) 4 D) 9 |
14. (Test6/Q 12/No Calculator)
Which of the following is equivalent to $\frac{4 x^{2}+6 x}{4 x+2} ?$
| A) $x$
B) $x+4$ C) $x-\frac{2}{4 x+2}$ D) $x+1-\frac{2}{4 x+2}$ |
15. (Test6/Q $1 /$ Calculator)
Which expression is equivalent to $\left(2 x^{2}-4\right)-\left(-3 x^{2}+2 x-7\right) ?$
| A) $5 x^{2}-2 x+3$
B) $5 x^{2}+2 x-3$ C) $-x^{2}-2 x-11$ D) $-x^{2}+2 x-11$ |
16. (Test $7 / \mathrm{Q} 7 /$ No Calculator)
$$ x^{2}+6 x+4 $$ Which of the following is equivalent to the expression above?
| A) $(x+3)^{2}+5$
B) $(x+3)^{2}-5$ C) $(x-3)^{2}+5$ D) $(x-3)^{2}-5$ |
17. (Test7/Q $13 /$ No Calculator)
Which of the following expressions is equivalent to $$ \frac{x^{2}-2 x-5}{x-3} ? $$
| A) $x-5-\frac{20}{x-3}$
B) $x-5-\frac{10}{x-3}$ C) $x+1-\frac{8}{x-3}$ D) $x+1-\frac{2}{x-3}$ |
18. (Test7/Q 20/No Calculator)
$$ \left(7532+100 y^{2}\right)+10\left(10 y^{2}-110\right) $$ The expression above can be written in the form $a y^{2}+b$, where $a$ and $b$ are constants. What is the value of $a+b$ ?
19. (Test7/Q $2 /$ Calculator)
$$ \left(x^{2}-3\right)-\left(-3 x^{2}+5\right) $$ Which of the following expressions is equivalent to the one above?
| A) $4 x^{2}-8$
B) $4 x^{2}-2$ C) $-2 x^{2}-8$ D) $-2 x^{2}-2$ |
20. (Test8/Q 8/No Calculator)
$$ \begin{aligned} &f(x)=x^{3}-9 x \\ &g(x)=x^{2}-2 x-3 \end{aligned} $$ Which of the following expressions is equivalent to $\frac{f(x)}{g(x)}$, for $x>3$ ?
| A) $\frac{1}{x+1}$
B) $\frac{x+3}{x+1}$ C) $\frac{x(x-3)}{x+1}$ D) $\frac{x(x+3)}{x+1}$ |
21. (Test $8 / Q 17 /$ No Calculator)
The sum of $-2 x^{2}+x+31$ and $3 x^{2}+7 x-8$ can be written in the form $a x^{2}+b x+c$, where $a, b$, and $c$ are constants. What is the value of $a+b+c$ ?
Answer
1 C $\quad$Explanation2 B $\quad$Explanation
3 D $\quad$Explanation
4 A $\quad$Explanation
5 19 $\quad$Explanation
6 C $\quad$Explanation
7 B $\quad$Explanation
8 A $\quad$Explanation
9 9 $\quad$Explanation
10 C $\quad$Explanation
11 A $\quad$Explanation
12 C $\quad$Explanation
13 A $\quad$Explanation
14 D $\quad$Explanation
15 A $\quad$Explanation
16 B $\quad$Explanation
17 D $\quad$Explanation
18 6632 $\quad$Explanation
19 A $\quad$Explanation
20 D $\quad$Explanation
21 32 $\quad$Explanation
إرسال تعليق