Top 10 8th Grade MEAP Math Practice Questions

C.

D.

5- In the rectangle below if \(y>5\) cm and the area of a rectangle is 50 cm\(^2\) and the perimeter of the rectangle is 30 cm, what is the value of x and y respectively?

A. \(4, 11\)

B. \(5, 11\)

C. \(5, 10\)

D. \(4, 10\)

6- A football team had \($40,000\) to spend on supplies. The team spent \($22,000\) on new balls. New sports shoes cost \($240\) each. Which of the following inequalities represents how many new shoes the team can purchase?

A. \(240x+22,000 ≤40,000 \)

B. \(240x+22,000 ≥40,000\)

C. \(22,000x+240 ≤40,000\)

D. \(22,000x+240 ≥40,000\)

7- The right triangle ABC has two legs of lengths 6 cm (AB) and 8 cm (AC). What is the length of the third side (BC)?

A. 4 cm

B. 6 cm

C. 8 cm

D. 10 cm

8- If \(3x-5=8.5\), What is the value of \(5x+3\)?

A. 13

B. 15.5

C. 20.5

D. 25.5

9- A bank is offering \(4.5\%\) simple interest on a savings account. If you deposit $8,000, how much interest will you earn in five years?

A. $360

B. $720

C. $1800

D. $3600

10- In a party, 10 soft drinks are required for every 12 guests. If there are 252 guests, how many soft drinks are required?

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A. 21

B. 105

C. 210

D. 2510

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Answers:

2- 600
The ratio of boys to girls is \(3:7\).
Therefore, there are 3 boys out of 10 students. To find the answer, first, divide the number of boys by 3, then multiply the result by 10.
\(180 ÷ 3 = 60 ⇒ 60 × 10 = 600\)

3- C
the population is increased by \(15\%\) and \(20\%\). \(15\%\) increase changes the population to \(115\%\) of the original population.
For the second increase, multiply the result by \(120\%\).
\((1.15) × (1.20) = 1.38 = 138\%\)
38 percent of the population has increased after two years.

4- B
A linear equation is a relationship between two variables, \(x\) and \(y\), that can be put in the form \(y = mx + b\).
A non-proportional linear relationship takes on the form \(y=mx + b\), where \(b ≠ 0\) and its graph is a line that does not cross through the origin.

5- C
The perimeter of the rectangle is: \(2x+2y=30→x+y=15→x=15-y \)
The area of the rectangle is: \(x×y=50→(15-y)(y)=50→y^2-15y+50=0\)
Solve the quadratic equation by factoring method.
\((y-5)(y-10)=0→y=5 \)
(Unacceptable, because y must be greater than 5) or \(y=10\)
If \( y=10 →x×y=50→x×10=50→x=5\)

6- A
Let \(x\) be the number of new shoes the team can purchase. Therefore, the team can purchase \(240 x\).
The team had $40,000 and spent $22,000. Now the team can spend on new shoes \($18,000\) at most.
Now, write the inequality: \( 120x+22.000 ≤40.000\)

7- D
Use Pythagorean Theorem:
\(a^2 + b^2 = c^2\)
\(6^2 + 8^2 = c^2 ⇒ 100 = c^2 ⇒ c = 10\)

8- D
\(3x-5=8.5→3x=8.5 + 5=13.5→x = \frac{13.5}{3}= 4.5\)
Then;
\(5x+3=5 (4.5)+3=22.5+3=25.5\)

9- C
Use a simple interest formula:
\(I=prt\)
\((I = interest, p = principal, r = rate, t = time)\)
\(I=(8000)(0.045)(5)=1800\)

10- C
Let \(x\) be the number of soft drinks for 252 guests. Write the proportion and solve for \(x\).
\(\frac{10 soft drinks}{12 guests}=\frac{x}{252 guests}\)
\(x = \frac{252×10}{12}⇒x=210\)

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Frequently Asked Questions

What math is 8th grade?

Eighth grade math is often called pre-algebra or the first year of algebra. In Michigan it includes linear equations and functions, slope, systems of equations, exponents and scientific notation, square roots, the Pythagorean Theorem, transformations, and volume of cylinders, cones and spheres. Many problems connect ideas, such as finding the hypotenuse of a 6-8 triangle: √(36 + 64) = √100 = 10.

What is the Michigan 8th grade math test?

Michigan’s state math test for 8th graders is the PSAT 8/9. The old MEAP was replaced years ago, and the M-STEP now covers other grades and subjects. Its math section covers algebra, advanced math, problem solving and data analysis, and geometry, so the 8th grade topics on linear equations, functions and scatter plots carry over directly. Check the Michigan Department of Education for current details.

What are the Michigan 8th grade math standards?

Michigan’s grade 8 math standards follow the Common Core-based Michigan K-12 Standards. They are organized into the number system, expressions and equations, functions, geometry, and statistics and probability. Key expectations include solving linear equations like 3x − 5 = 8.5 (x = 4.5), understanding slope as rate of change, and applying the Pythagorean Theorem to real problems.

How do you do algebra in grade 8?

Grade 8 algebra is about solving equations and describing patterns with functions. To solve 3x − 5 = 8.5, add 5 to both sides to get 3x = 13.5, then divide by 3 to get x = 4.5. Students also find slope between two points with m = (y₂ − y₁) ÷ (x₂ − x₁) and graph lines in the form y = mx + b.

How do you study for 8th grade math?

Study a little each day instead of cramming. Redo missed homework problems without looking at the solution, keep a page of formulas such as the volume of a cone, V = (1/3)πr²h, and practice mixed problems so you learn to pick the right method. Before a Michigan state test, work a full practice set under time and review every mistake.

How do you learn 8th grade math?

Start by making sure the 7th grade basics are solid: integers, fractions, ratios and one-step equations. Then learn each new 8th grade idea with a worked example, try a few problems on your own, and check answers right away. For example, after learning systems of equations, solve y = 2x and x + y = 9 to get x = 3 and y = 6.

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 for these questions, Mastering Grade 8 Math (resource currently unavailable) covers every standard. Pre-Algebra for Beginners covers the algebra prerequisites.