8th Grade IAR Math Practice Test Questions

8th Grade IAR Math Practice Test Questions

Getting ready for IAR (Illinois Assessment of Readiness) math in grade 8? The 10 questions below are written for 8th graders and cover linear equations and functions, slope, systems of equations, the Pythagorean theorem, volume, exponents and scientific notation, and data analysis. Each question has a worked solution, and the numbers differ from the other grade 8 sets on this site, so you can practice with fresh problems.

These are original practice questions aligned to grade 8 math skills, not official released test items. Use them to find the topics you need to review before test day.

10 practice questions for 8th Grade IAR Math

Answer one question at a time. Press Submit to see right away whether you were correct, along with the worked solution. Your score appears after the last question, with a list of the ones to review.

Question 1 of 10
1. Jack earns \($616\) for his first \(44\) hours of work in a week and is then paid \(1.5\) times his regular hourly rate for any additional hours. This week, Jack needs \($826\) to pay his rent, bills, and other expenses. How many hours must he work to make enough money this week?

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2. Simplify: \(\frac{x^{7} \cdot x^{2}}{x^{4}}\).

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3. Which of the following lines is parallel to \(y=3x+4\)?

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4. A tablet case regularly costs $80. It is on sale for 30% off, and then a 10% sales tax is added to the sale price. What is the final cost?

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5. Five years ago, Amy was three times as old as Mike was. If Mike is \(10\) years old now, how old is Amy?

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6. In a triangle, two of the angles measure 32° and 60°. What is the measure of the third angle?

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7. Lena earns $18 per hour for the first 40 hours in a week and 1.5 times that rate for each additional hour. How much does Lena earn in a week with 45 hours of work?

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8. 3 years ago, Olivia was 3 times as old as Maya was. If Maya is 14 years old now, how old is Olivia?

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9. What is the product of \(5\times10^{3}\) and \(4\times10^{4}\) in scientific notation?

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10. If \(x\) is directly proportional to the square of \(y\), and \(y=2\) when \(x=12\), then when \(x=75 y=\)?

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Best 8th Grade IAR Math Prep Resource

Answers and explanations

Every worked solution opens in the quiz box as soon as you submit that question, so you can compare your method with the solution while it is fresh. Press Try again on the last screen to work through the set a second time.

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