MATH QUIZ BEE GRADE 7

  Easy 1. If the polynomial

 $10x^{2\ }-7x-12\$  is divided by  $2x+3$  , the quotient is  $5x+b$  and the remainder is 21. Find the value of b.

 Easy 2. If 1 megabyte is equal to  $10^6$  bytes, how many gigabytes are there in 1 megabyte?

Easy 3. Find the value of b so that x = 3 is a solution of the equation  $b^2+b\left(x-3\right)+3b=\left(b-x\right)^2$  .

Easy 4. Assume A and B are subsets of the set of integers. If A is the set of multiples of 2, and B is the set of multiples of 3, describe the elements of A ∩ B.

Easy 5. Find the solution set of the inequality  $x^3-3x^2>0$  and express it in interval notation.

Easy 6. Point Q lies midway between points P and R on a number line. What is the coordinate of R if P and Q have coordinates -16 and -7, respectively?

How many sides does a regular polygon have if the measure of each interior angle is 160°?

Average 1. Express the repeating decimal 8.121212… as a fraction in lowest terms.

Average 2. A camera drone travels at a speed of 40 miles per hour. How many feet can it travel if its maximum flight time is 20 minutes?

Average 3. Solve for x:  $\frac{x+3}{3}-\frac{x+2}{2}=\frac{x+6}{6}$