Full-Length 8th Grade FSA Math Practice Test-Answers and Explanations

Did you take the 8th Grade FSA 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.

8th Grade FSA Math Practice Test Answers and Explanations

1- Choice C is correct
Jason ate \(\frac{1}{2}\) of \(8\) parts of his pizza. It means \(4\) parts out of \(8\) parts (\(\frac{1}{2})\) of \(8\) parts is \(x ⇒ x=4\) and left \(4\) parts. Eva ate \(\frac{3}{4}\) of \(8\) parts of her pizza. It means \(6\) parts out of \(8\) parts \(\frac{3}{4}\) of 8 parts is \(x ⇒ x=6\) and left \(2\) parts.
Therefore, they ate \((4 + 6)\) parts out of \((8 + 8)\) parts of their pizza and left \((4 + 2)\) parts out of \((8 + 8)\) parts of their pizza that equals to \(\frac{6}{16}\)
After simplification, the answer is: \(\frac{3}{8}\)

2- The answer is \(5 \frac{7}{10}\) miles.
Robert runs \(3 \frac{1}{10}\) miles on Saturday and \(2×(3 \frac{1}{10} )\) miles on Monday and Wednesday.
Robert wants to run a total of 18 miles this week.
Therefore: \(3 \frac{1}{10}+2×(3 \frac{1}{10})\) should be subtracted from 18:
\(18-(3\frac{1}{10}+2(3 \frac{1}{10}))=15-9 \frac{3}{10}=5 \frac{7}{10}\) miles.

3- Choice A is correct
Let \(x\) be the integer. Then: \(2x+20=68\). Subtract 20 both sides: \(2x=48\). Divide both sides by \(2\) ⇒ \(x=24\)

4- The answer is: –37
Use PEMDAS (order of operation):
\([3×(–21)+(5×2)]–(–25)+[(–3)×6]÷2=[-63+10]+25+[-18]÷2=-53+25-9=-37\)

5- The answer is 768 cm.
Write the proportion and solve for missing side.
\(\frac{Smaller \space triangle \space height}{Smaller \space triangle \space base}
=\frac{Bigger \space triangle \space height}{Bigger \space triangle \space base} ⇒ \frac{100 \space cm}{160 \space cm}=\frac{100+380 \space cm}{x}⇒ x=768 \space cm\)

6- Choice C is correct.
Write the proportion and solve. \(\frac{3 \space ft}{2 \space ft}= \frac{x}{38 \space ft} ⇒ x=57 \space ft\)

7- Choice D is correct.
The distance that Mike runs can be found by the following equation:
\(D_M= 5.5t+7.5\). The distance Julia runs can be found by \(D_J=8t\)
Julia catches Mike if they run the same distance. Therefore:
\(8t=5.5t+7.5⇒2.5t=7.5 ⇒t= \frac{7.5}{2.5}=3\) hours

8- Choice C is correct
x is the number of all sales profit and \(2\%\) of it is:
\(2\%×x=0.02x\). Employer’s revenue: \(0.2x+7,000\)

9- The answer is 60.
Jason needs an \(75\%\) average to pass the exams. Therefore, the sum of 5 exams must be at least \(5×75=375\). The sum of 4 exams is: \(68+72+85+90=315\).
The minimum score Jason can earn on the final test to pass is: \(375-315=60\)

10- Choice C is correct.
We can write: \(\frac{25}{100}=\frac{8}{x}⇒\frac{8×100}{25}=x⇒x=32\)

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15- Choice B is correct.
\(\frac{21+18+16+x}{4} =20⇒\frac{55+x}{4}=20⇒55+x=80⇒x=25\)

16- Choice B is correct.
Solve for \(x\).
\(5≤3x-1<11\)⇒ (add 1 all sides) \(5+1≤3x-1+1<11+1 ⇒ 6≤3x<12\) ⇒ (divide all sides by 3) \(2≤x<4 ⇒x\) is between 2 and 4.

17- Choice D is correct.
Distance between two points is equal: \(\sqrt{(x_1-x_2)^2+(y_1-y_2)^2} =\sqrt{(13-(-2)^2+(-2-6)^2}=\sqrt{15^2+(-8)^2}=\sqrt{225+64}=\sqrt{289}=17\)

18- Choice B is correct
Distance between two points is equal:
\(\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}=\sqrt{(9-4)^2+(7-(-5)^2}=\sqrt{(5)^2+(-12)^2}=\sqrt{169}=13\)

19- Choice D is correct
The slop of line A is: \(m=\frac{y_2-y_1}{x_2-x_1}=\frac{-10-8}{4-(-8)}=-\frac{3}{2}\)
Also \((y-y_1 )=m(x-x_1 )⇒y-8=-\frac{3}{2}(x+8)⇒y=-\frac{3}{2} x-4\)

20- Choice C is correct
The value of \(y\) in the \(x\)-intercept of a line is zero. Then:
\(y=0→10x-4(0)=5→10x=5→x=\frac{1}{2}\). Then, \(x\)-intercept of the line is \(\frac{1}{2}\)

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21- Choice C is correct
The total amount of money Giselle made as a carpenter can be modeled by \(20x\), and the total amount of money she made as a blacksmith can be modeled by \(25y\). Since these together add up to $690, we get the following equation:
\(20x+25y=690\).
We are also given that last week, Giselle worked as a carpenter and a blacksmith for a total of 30 hours. This can be expressed as:
\(x+y=30⇒y=30-x\)
Therefor \(20x+25(30-x)=690⇒x=12\) and \(y=18\)

22- Choice D is correct
\(\begin{cases}3x+y=8\\-5x-2y=0\end{cases}\)
Multiply the top equation by 2 then,
\(\begin{cases}6x+2y=16\\-5x-2y=0\end{cases}\)
⇒ Add two equations
\(x=16\) , plug in the value of \(y\) into the first equation
\(3x+y=8→3(16)+y=8→y=-40\)

23- Choice D is correct
Let \(x=\) the total miles of the ride.
Therefore, \(x-1=\) the additional miles of the ride. The correct equation takes $1.25 and adds it to $1.15 times the number of additional miles, \(x-1\). Translating, this becomes: \(y\)(the total cost)\(=1.25+1.15(x-1)\), which is the same equation as \(y=1.15(x-1)+1.25\).

24- Choice D is correct.
Write as two points in terms of: (number of people, cost in$) (15,120) and (25,200). Find the equation of the line using: m\(=\frac{y_2-y_1}{x_2-x_1}\) and \(y=mx+b\)
Equation: \(y=8x\) plug in \(x=40\), \(y=8(40)=320\). A party of 40 people will cost $320.00.

25- Choice A is correct
\(C=250+150h\). Assuming the initial meeting counts for the 1st hour, you would plug in \(h=25\) for a total cost of $4000.00.

26- Choice D is correct
Let the number be \(x\). Then the other number\(=x+8\). Sum of two numbers \(=30\). According to question, \(x+x+8=30 ⇒2x+8=30⇒ 2x=22⇒ x=11\). Therefore, \(x+8=11+8=19\)

27- Choice C is correct.
\(0.0000005823=5.823 × 10^{-7}\)

28- Choice B is correct.
\(28,000,000,000=2.8×10^{10}\)

29- Choice B is correct.
The area of greater circle is: \(A_g=πr^2=π .(45)^2=6361.7 \space mm^2\)
The area of smaller circle is: \(A_s=πr^2=π .(33)^2=3421.2 \space mm^2\)
Then area of colored part is \(A_c=A_g-A_s=6361.7-3421.2=2940.5 \space mm^2\)

30- Choice C is correct.
When a point is reflected over y axes, the \((x)\) coordinate of that point changes to \((-x)\), while its y coordinate remains the same.

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Frequently Asked Questions

What is the FSA, and what replaced it?

The Florida Standards Assessments (FSA) was the state’s annual end-of-year test through 2022. Florida transitioned to FAST (Florida Assessment of Student Thinking) starting in the 2022-23 school year. FAST gives shorter progress monitoring three times per year instead of one long spring test.

Are the math standards different for FAST vs FSA?

They are largely overlapping. Florida adopted the BEST (Benchmarks for Excellent Student Thinking) standards, which replaced Common Core-aligned standards. Most 8th grade math topics remain similar (linear equations, Pythagoras, volume), but specific wording and emphasis can differ.

Which 8th grade math topics are most often tested in Florida?

Linear equations and functions (slope and y-intercept, systems), the Pythagorean Theorem, rigid transformations and dilations on the coordinate plane, volume of cylinders/cones/spheres, and bivariate data (scatter plots and lines of best fit).

How long is Florida 8th grade math testing now?

Under FAST, each of the three progress monitoring sessions takes about 60-90 minutes. Total annual testing time is similar to the legacy FSA, but spread out for actionable mid-year feedback.

Are calculators allowed?

Yes — an embedded online calculator is available for most 8th grade math items. Some sections are calculator-prohibited. Practice with the on-screen tool before test day so the interface is not a distraction.

How is FAST scored?

Florida reports a scale score and an achievement level (Levels 1-5). Levels 3 and above indicate the student is at or above grade-level proficiency.

How should we review a practice test?

Score the test, then for each missed item: rewrite the correct solution step-by-step, name the specific concept involved, and write one sentence about what to do differently next time. Focus your study on the 2-3 topics where misses cluster.

How do I solve a multi-step linear equation?

Simplify each side first (distribute, combine like terms), then move variables to one side and constants to the other, and finally divide by the variable’s coefficient. Always check by plugging the answer back into the original equation.

How is the Pythagorean Theorem tested on FAST?

Three ways: missing-side problems (find the hypotenuse or a leg), distance on the coordinate plane (treating the segment as the hypotenuse), and the converse (verifying a triangle is right by checking \( a^2 + b^2 = c^2 \)).

When do FAST results return?

Each progress monitoring session returns results to teachers and families within days, not weeks. End-of-year cumulative reports come out in early summer.

Related Lessons You May Like

• How to solve multi-step equations
• How to find the slope of a line
• How to graph linear equations
• How to use the Pythagorean Theorem
• How to find the volume of cylinders and spheres

If you want a workbook that walks every Grade 8 standard step by step, Mastering Grade 8 Math pairs perfectly with these questions. For algebra prep, Pre-Algebra for Beginners covers the linear-equation foundation you will lean on.