Grade 12 <- Grade 12 Advanced Functions <- Diagnostic Test Grade 9 Math Units 1 and 2

Diagnostic Test Grade 9 Math Units 1 and 2

Diagnostic Test Grade 9 Math Units 1 and 2

1 / 10

Express in Radical Form: \( 64^{\frac{5}{6}} \div 8^{\frac{2}{3}} \)

2 / 10

Simplify and Solve for \( k \): \( \frac{k^{-3} \times k^{2}}{k^{-1}} = 16 \)

3 / 10

Express as a Single Exponent: \( \frac{(5^3 \times 5^{-2})^4}{5^{5}} \)

4 / 10

Solve for \( x \): \( \left(3^{x-1}\right)^2 = \frac{1}{9} \)

5 / 10

Simplify the Expression: \( \left( \frac{16^{\frac{1}{2}} \times 2^3}{8^{\frac{2}{3}}} \right)^2 \)

6 / 10

Express in Exponential Form: \( \sqrt[4]{\frac{81}{16}} \)

7 / 10

Solve for \( y \): \( 2^{y+3} = 16 \times 2^2 \)

8 / 10

Express in Exponential Form: \( \sqrt[4]{\frac{81}{16}} \)

9 / 10

Solve for \( y \): \( 2^{y+3} = 16 \times 2^2 \)

10 / 10

Express as a Radical Expression: \( \left( \frac{8^{\frac{2}{3}}}{4^{\frac{1}{2}}} \right)^3 \)

Your score is

Follow us on socials!

LinkedIn Facebook Twitter
0%

About This Quiz

This test is about linear relations and number rationale.  

Brief Overview of Each Question's Focus

  1. Combining Exponents: Multiplying and raising to a power, then dividing.
  2. Negative Exponents & Solving Equations: Handling reciprocals and solving for a variable in the exponent.
  3. Negative and Fractional Exponents: Converting to radical form with negative exponents.
  4. Multiple Exponent Rules: Combining multiplication, division, and exponentiation.
  5. Solving for Variables with Fractional Exponents: Isolating the variable by converting exponents.
  6. Combining Radicals and Exponents: Simplifying complex radical expressions.
  7. Complex Fractional Exponents: Multiple steps involving exponent rules and simplification.
  8. Solving for Variables with Bases Rewritten: Changing the base to solve for an exponent.
  9. Expressing as Exponents: Converting a complex radical expression into exponential form.
  10. Nested Exponents and Simplification: Handling multiple exponent rules in one expression.
  11. Solving Exponential Equations with Negative Results: Handling negative exponents and solving for a variable.
  12. Combining Exponents with Different Operations: Simplifying expressions with multiple exponent rules.
  13. Solving for Variables with Negative Exponents: Combining exponents and solving for a variable.
  14. Radicals with Fractional Exponents: Simplifying and converting between radical and exponential forms.
  15. Solving Exponents with Variables in Denominator: Combining exponent rules to solve for a variable.

More Quizzes

Advanced Quadratic Equations Quiz (Easy) Part 3 - SAT Math Practice Questions & Solutions

Take Quiz

SAT Inferences (Medium) - English – Real Collegeboard Practice Questions with Answers and Explanations

Take Quiz

SAT Advanced Poll, Survey and Proportion Practice Questions

Take Quiz

LSAT Practice Test 82 - Logical Reasoning 1 – Questions + Answers

Take Quiz

SAT Quadratic Equations Mastery Quiz (Hard)

Take Quiz

Temperature and Scale Conversion Quiz - SAT Physics Practice Questions

Take Quiz

SAT Randomized Questions - 1 Full Math Practice Test - Answers and Detailed Explanations at the END

Take Quiz

SAT Transitions (Easy) - English - Real Collegeboard Practice Questions with Answers and Explanations

Take Quiz