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GACE Middle Grades Mathematics (013): Practice & Study Guide  /  Math Courses

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GACE Middle Grades Math: Monomials & Polynomials Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

Page 1

Question 1 1. What does it mean to 'expand a binomial'?

Question 2 2. Use Pascal's Triangle to determine the third term of the expansion of (4x+1)^4

Question 3 3. How will the graph of f(x)=x^3 transform when changed to f(x) = x^3 - 5?

Question 4 4.

What does z equal when x = 1 and y = 2?

x + y + z = 3

Question 5 5. If the binomial (x + y) is raised to the 6th power, what will just the variable portion of the expansion look like?

Page 2

Question 6 6. What does 'Polynomial' mean?

Question 7 7. How do you say f(5)?

Question 8 8. What is the degree of this function: y = 3x^2 - 4x^5 + x - 1.

Question 9 9. Expand: (x+1)^8

Question 10 10. Divide using long division.

Page 3

Question 11 11. Given f(x) = x^2 + 3x -2; find f(3).

Question 12 12.

Divide using synthetic division.

(x3 - 3x2 + 5) / (x - 1)

Question 13 13. To what does 'Polynomial Graph Transformation' refer?

Question 14 14. What does 'Binomial Theorem' mean?

Question 15 15. What does a negative leading coefficient do to a graph?

Page 4

Question 16 16. Subtract: (x2 + 3x + 4) - (7x2 - 5x + 2)

Question 17 17. Divide using long division.

Question 18 18.

Divide using synthetic division.

(x4 + 5x3 - 15x2 - 12x - 60) / (x - 3)

Question 19 19. All polynomial graphs must:

Question 20 20. Divide the following polynomials:

Page 5

Question 21 21. Divide using long division.

Question 22 22. Divide the following polynomials:

Question 23 23.

Solve for z.

x + z = 2

Question 24 24. The outside edge of Pascal Triangle shows what number?

Question 25 25. Consider: 3ab + 4b. Name the Terms.

Page 6

Question 26 26. Divide the following polynomials:

Question 27 27.

Divide using synthetic division.

(x2 + x - 20) / (x + 5)

Question 28 28. Divide using long division.

Question 29 29. What three transformations to the parent function are represented in this polynomial: f(x) = -(x + 2)^3 + 3 ?

Question 30 30. Subtract: (x3 + x3 + 6) - (x3 - 2x + 1).

GACE Middle Grades Math: Monomials & Polynomials Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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