10 Most Common ALEKS Math Questions

84
\( 120 × \frac {70}{100} = 84 \)

30
Let \(x\) be the number. Write the equation and solve for \(x\).
\( \frac{2}{3} ×18= \frac{2}{5} . x ⇒ \frac{2×18}{3}= \frac{2x}{5} \) , use cross multiplication to solve for \(x\).
\(5×36=2x×3 ⇒180=6x ⇒ x=30\)

\(p^9\)
\((p^4). (p^5) = p ^{4 +5} = p^9\)

290
If \(a = 8\), then: \(4a^2 + 3a + 10 ⇒ 4(8)^2 + 3(8) + 10 ⇒ 4(64) + 24 + 10 = 290\)

\(15\%\)
The question is this: 530.40 is what percent of 624?
Use percent formula:
\( part =\frac{ percent}{100} × whole \)
\(530.40 =\frac{ percent}{100} × 624 ⇒ 530.40 = \frac{percent ×624}{100} ⇒53040 = percent ×624 ⇒ \)
\(percent = \frac{53040}{624} = 85\)
530.40 is \(85 \%\) of 624. Therefore, the discount is: \(100\% – 85\% = 15\%\)

36
Let \(x\) be the smallest number. Then, these are the numbers:
\(x, x+1, x+2, x+3, x+4\)
\(average = \frac{sum of terms}{number of terms} ⇒ 38 =\frac{ x+(x+1)+(x+2)+(x+3)+(x+4)}{5}⇒38=\frac{5x+10}{5} ⇒ 190 = 5x+10 ⇒\)
\(180 = 5x ⇒ x=36\)

\(5^3\)
\( 5^{\frac{7}{3}} × 5^{\frac{2}{3}} = 5^{\frac{7}{3} + \frac{2}{3}} = 5^{\frac{9}{3}} = 5^3 \)

152.66
Underline the hundredths place: \(152.6\underline{5}88\) Look to the right if it is 5 or bigger, add it by 1. Then, round up to 152.66

35
\(a + b + c = 45\)
\(\frac{a+b+c+d}{4} = 20 ⇒ a+b+c+d = 80\)
\( ⇒ 45 + d = 80 $$d = 80 – 45 = 35\)

2660
\(45×$124=$5580\)
Payable amount is:
\($8240-$5580=$2660\)