Timed Mini Exam 27 — Timed Mini Exams

Questions in this quiz (10)

1. What is the greatest common factor of $$18a^3b^2$$ and $$30a^2b^4$$?

   • $$3ab^2$$
   • $$6a^2b^2$$
   • $$6a^3b^4$$
   • $$18a^2b^2$$

2. Which expression is equivalent to $$\left(x^2-5\right)(3x+2)$$?

   • $$3x^3+2x^2-5x-10$$
   • $$3x^3-13x^2-10$$
   • $$3x^3+2x^2-15x-10$$
   • $$3x^3-15x+2$$

3. A store sells notebooks in bundles at the prices shown in the table.If the relationship is proportional, what is the value of $$x$$?

   • $$\$45$$
   • $$\$48$$
   • $$\$54$$
   • $$\$60$$

4. The sum of a number $$n$$ and $$7$$ is less than four times a number $$m$$. If $$m=9$$, which inequality describes the possible values of $$n$$?

   • $$n$$ < $$16$$
   • $$n$$ < $$29$$
   • $$n$$ > $$29$$
   • $$n$$ < $$43$$

5. Which equation represents a line parallel to $$y=-\frac{3}{4}x+2$$?

   • $$y=\frac{3}{4}x-5$$
   • $$y=-\frac{3}{4}x-5$$
   • $$y=\frac{4}{3}x+2$$
   • $$y=\frac{4}{3}x-5$$

6. $$f(x)=\frac{x-4}{x^2-5x+6}$$For which values of $$x$$ is the function undefined?

   • $$x=2$$ only
   • $$x=3$$ only
   • $$x=2$$ and $$x=3$$
   • $$x=-2$$ and $$x=-3$$

7. The graph shown represents the total weekly revenue of a company over several weeks. For which of the following periods has the weekly revenue increased?

   • Between weeks $$2$$ and $$3$$
   • Between weeks $$3$$ and $$4$$
   • Between weeks $$4$$ and $$5$$
   • Between weeks $$6$$ and $$7$$

8. A rectangle has an area of $$96$$ square feet and a perimeter of $$40$$ feet. What are the dimensions of the rectangle?

   • $$6$$ feet by $$16$$ feet
   • $$8$$ feet by $$12$$ feet
   • $$10$$ feet by $$10$$ feet
   • $$4$$ feet by $$24$$ feet

9. A school club has five groups. The groups contain $$8$$, $$5$$, $$7$$, $$6$$, and $$4$$ students. If one student is selected at random, what are the odds in favor of selecting a student from the group containing $$8$$ students?

   • $$4$$ to $$7$$
   • $$4$$ to $$11$$
   • $$8$$ to $$30$$
   • $$11$$ to $$4$$

10. A restaurant bill is $$\$82$$ before tax. A customer uses a coupon for $$20\%$$ off before a $$7\%$$ sales tax is applied. The customer then leaves a tip equal to $$18\%$$ of the taxed amount. What is the total amount paid, rounded to the nearest cent?

    • $$\$70.19$$
    • $$\$78.32$$
    • $$\$82.83$$
    • $$\$87.74$$