MATH QUIZ BEE GRADE 8

Easy 1. What is the slope of the line with x-intercept 5 and y-intercept

 $\frac{3}{7}$  .

Easy 2. If

 $25^x=\frac{5^{x-2}}{3^{x+2}}$  .

Easy 3. Factor completely:

 $6x^3+x^2-2x$  

Easy 4. Find c so that the line 3x + 4y + 2c = 0 passes through the point (2, -5).

Easy 5. A computer screen saver displays a circle of radius 2 cm and enlarges it. What is the radius of the new circle if its area is four times the original?

Easy 6. In an isosceles triangle, the length of each leg is 3 cm. What is the length of the altitude to the hypotenuse of the triangle?

Easy 7. Solve for x in the equation |3x - 2| = 4.

Average 1. In how many ways can a 6-digit PIN be formed if the first digit cannot be zero and the last digit cannot be the same as the first digit?

Average 2. Write the expression

 $\left(\frac{x^{-1}y^{-1}}{x^{-1}-y^{-1}}\right)^{-1}$  in lowest terms with only positive exponents.

Average 3. Write an equation of the line that is parallel to 2x - 3y +5 = 0 and which passes through the point (-2, 5).