ALEKS Math FREE Sample Practice Questions

ALEKS Math FREE Sample Practice Questions: work through realistic questions in the same format and difficulty as the real test, then check every answer against a full step-by-step solution so you can see where you lost marks and what to review next.

4- (4a^2sqrt{b} )
( frac{sqrt{32a^5 b^3}}{sqrt{2ab^2} } = frac{4a^2 sqrt{2ab}}{bsqrt{2a} } = 4a^2sqrt{b} )

5- 57,000 loss
(c(3)=(3)^2+10(3)+30=9+30+30=69 4×3=12⇒12-69=-57⇒57,000) loss

6- (frac{4}{5})
sinB(=frac{Opposite Side}{Hypotenuse}=frac{4}{5})

7- (y=frac{6}{7} x+frac{12}{7})
(-7y=-6x-12⇒y=frac{-6}{-7} x-frac{12}{-7}⇒y=frac{6}{7} x+frac{12}{7})

8- (0, -2, -3)
Frist factor the function:
(x (x+2)(x+3))
To find the zeros, (f(x)) should be zero.
(f(x)=x (x+2)(x+3)=0)
Therefore, the zeros are:
(x=0)
((x+2)=0 ⇒ x= -2)
((x+3)=0 ⇒ x= -3)

9- ((1,4))
(begin{cases}5x+y=9\10x-7y=-18end{cases})⇒ Multiply the first equation by (-2 ⇒ begin{cases}-10x-2y=-18\10x-7y=-18end{cases}) Add two equations (⇒ -9y = -36 ⇒ y = 4) then: (x = 1)

10- 4
((x, h)^2 + (y, k)^2 = r^2 ⇒) center: (h,k) and radius: r
((x, 3)^2 + (y + 6)^2 = 12 ⇒) center: ((3,-6)) and radius: (sqrt{16}=4)

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