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10 Online ELM Practice Questions (free)

1.

If $4x - 5 = 18 - 7x$, then $x =$

$\frac{-13}{3}$ $\frac{13}{11}$ $2$ $\frac{23}{11}$ $\frac{23}{3}$

2.

$\frac{5t^{2} - 30t}{5t} = $

$-29t$ $t-6$ $t+6$ $5t^{2}-6$ $5t^{2}+6$

3.

If $\begin{cases}2x + 3y = 6\\ x = -2y + 5\end{cases}$, then $y =$

$-4$ $-2$ $-1$ $2$ $4$

4.

The area of the square $ABCD$ in the figure below is 64. What is the area of the shaded triangle in $AED$?

16 24 28 30 32

5.

If the average weight of the four players listed in the table below is 250 pounds, what is the weight, in pounds, of Player $U$?

Player	Weight (in pounds)
$R$	270
$S$	230
$T$	240
$U$	?

220 230 240 250 260

6.

The ratio of the number of boys to the number of girls in an algebra class is 4 to 5. If there are 45 students in the class, how many are girls?

11 20 25 36 4

7.

In the right triangle $ABC$ below, $BC =$

$5-\sqrt{6}$ $\sqrt{19}$ $\sqrt{31}$ $5+\sqrt{6}$ 4

8.

$\frac{a}{b}+\frac{b}{a}=$

1 $\frac{ab}{a+b}$ $\frac{a+b}{ab}$ $a^{2} + b^{2}$ $\frac{a^{2} + b^{2}}{ab}$

9.

What is the slope of the line through the points (2,1) and (4,2)?

$-\frac{1}{2}$ $-\frac{1}{4}$ $\frac{1}{4}$ $\frac{1}{2}$ 2

10.

If the area of the square shown below is 36, what is the area of the inscribed circle?

6 36 $6\pi$ $9\pi$ $36\pi$

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