Full-Length FSA 6 Math Practice Test-Answers and Explanations

Full-Length FSA 6 Math Practice Test-Answers and Explanations

Did you take the FSA 6 Math Practice Test? If so, then it’s time to review your results to see where you went wrong and what areas you need to improve.

FSA 6 Math Practice Test Answers and Explanations

1- Choice B is correct
Plug in the value of \(x\) and \(y\) and use order of operations rule. \(x=2\) and \(y=-3\)
\(5(4x-3y)-7y^2=5(4(2)-3(-3))-7(-3)^2=5(8+9)-7(9)=5(17)-63=85-63=22\)

2- Choice C is correct
For one hour he earns $18, then for t hours he earns $18t. If he wants to earn at least $78, therefor, the number of working hours multiplied by 18 must be equal to 78 or more than 78.
\(18t≥78\)

3- Choice B is correct
\((108-(3×9))÷9=9^3÷81=9\)

4- Choice B is correct
The ratio of boy to girls is 3 ∶ 5. Therefore, there are 3 boys out of 8 students. To find the answer, first divide the total number of students by 8, then multiply the result by 3.
\(240÷8=30 ⇒ 30×3=90\)

5- Choice A is correct
Probability\(=\frac{number \space of \space desired \space outcomes}{number \space of \space total \space outcomes}=\frac{9}{9+15+14+16}=\frac{9}{54}\frac{1}{6}=0.16\)

6- Choice D is correct
Let’s compare each fraction: \(\frac{2}{3}<\frac{3}{4}<\frac{7}{9}<\frac{4}{5}\) Only choice D provides the right order.

7- Choice B is correct
Let \(y\) be the width of the rectangle. Then; \(14×y=84→y=\frac{84}{16}=6\)

8- Choice B is correct
\(4×\frac{5}{16}=\frac{20}{16}=1.25\)
A. \(1.25>2\)
B. \(1<1.25<2\) This is the answer!
C. \(\frac{3}{8}=1.25\)
D. \(1.25=2^2\)

9- Choice B is correct
In any rectangle, The measure of the sum of all the angles equals \(180^\circ\).

10- Choice C is correct
\(\frac{824}{17}=48.5\)

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11- The answer is \(7^2\).
\(588=2^2×3^1×7^2\)

12- Choice B is correct
The area of the trapezoid is: Area \(=\frac{base \space 1+base \space 2}{2}×height=\frac{12+10}{2}x=A→ 11x=A→x=\frac{A}{11}\)

13- Choice B is correct
\(\frac{72}{8}=9, \frac{648}{72}=9, \frac{5,832}{648}=9\), Therefore, the factor is 9.

14- Choice C is correct
Simplify each option provided.
A. \(13-(3×6)+(7×(-6))=13-18+(-42)=-5-42=-47\)
B. \((\frac{25}{400})+(\frac{7}{50})=\frac{25}{400}+\frac{56}{400}=\frac{81}{400}\)
C. \(((22×\frac{30}{6})-(7×\frac{144}{12}))×\frac{18}{2}=(110-84)×9=26×9=234\) (this is the answer)
D. \((\frac{6}{24}+\frac{12}{33})-50=(\frac{1}{4}+\frac{1}{3})-50=(\frac{3}{12}+\frac{4}{12})-50=\frac{7}{12}-50=\frac{-593}{15}\)

15- Choice D is correct
To find the discount, multiply the number (\(100\%\)- rate of discount)
Therefore; \(450(100\%-16\%)=450(1-0.16)=450-(450×0.16)\)

16- Choice A is correct
1,400 out of 11,900 equals to \(\frac{1,400}{11,900}=\frac{200}{1,700}=\frac{2}{17}\)

17- Choice C is correct
The opposite of Nicolas’s integer is \(25\). So, the integer is \(-25\). The absolute value of \(25\) is also \(25\).

18- Choice B is correct
Volume of a box = length × width × height = 7 × 4 × 12 = 336

19- Choice C is correct
1 yard = 3 feet, Therefore, \(33,759 ft×\frac{1 \space yd}{3 \space ft}=11,253\) yd

20- Choice B is correct
\(16\%\) of the volume of the solution is alcohol. Let \(x\) be the volume of the solution.
Then: \(16\%\) of \(x=38\) ml ⇒ \(0.16x=38 ⇒ x=38÷0.16=237.5\)

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21- Choice C is correct
\((-2)(9x-8)=(-2)(9x)+(-2)(-8)=-18x+16\)

22- Choice D is correct
1 pt = 16 fluid ounces. \(576÷16=36\)
Then: 576 fluid ounces = 36 pt

23- Choice D is correct
1 kg = 1000 g and 1 g = 1000 mg,
120 kg = 120 × 1000 g = 120 × 1000 × 1000 = 120,000,000 mg

24- Choice C is correct
The diameter of a circle is twice the radius. Radius of the circle is \(\frac{14}{2}=7\).
Area of a circle \(= πr^2=π(7)^2=49π=49×3.14=153.86≅153.9\)

25- Choice B is correct
Average (mean) \(=\frac{sum \space of \space terms}{number \space of \space terms}=\frac{15+17+12+16+21+23}{6}=\frac{104}{6}=17.33\)

26- Choice C is correct
Prime factorizing of \(18=2×3×3\), Prime factorizing of \(24=2×2×2×3\)
LCM \(= 2×2×2×3×3=72\)

27- Choice B is correct
The coordinate plane has two axes. The vertical line is called the \(y\)-axis and the horizontal is called the \(x\)-axis. The points on the coordinate plane are address using the form \((x,y)\). The point A is one unit on the left side of \(x\)-axis, therefore its \(x\) value is 4 and it is two units up, therefore its \(y\) axis is 2. The coordinate of the point is: (4, 2)

28- Choice B is correct
\(α\) and \(β\) are supplementary angles. The sum of supplementary angles is 180 degrees.
\(α+β=180^\circ→α=180^\circ-β=180^\circ-125^\circ=55^\circ,\) Then, \(\frac{α}{β}=\frac{55}{125}=\frac{11}{25}\)

29- Choice C is correct
Opposite number of any number \(x\) is a number that if added to \(x\), the result is 0. Then:
\(7+(-7)=0\) and \(4+(-4)=0\)

30- Choice C is correct
\(16=-129+x\), First, subtract 129 from both sides of the equation. Then:
\(16+129=-129+x+129 →145=x\)

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