Timed Mini Exam 13 — Timed Mini Exams

Questions in this quiz (10)

1. David's Donut Shop and Maria's Muffin Market both sell donuts in boxes. The table below lists the price (the total amount the customer pays) of each box of donuts sold at the shops. For each shop, there is a linear relationship between the price of a box of donuts and the number of donuts in that box. These are the only numbers of donuts that can be purchased at the shops.Which of the following equations gives the relationship between the price in dollars, d, and the number of donuts, n, in a box of donuts at David's Donut Shop?

   • $$d=n-3.0$$
   • $$d=0.2n+1.0$$
   • $$d=0.15n+1.3$$
   • $$d=0.25n+0.7$$

2. Quadrilateral QRST is shown in the standard $$(x,y)$$ coordinate plane. Which are the coordinates of the image of $$R$$ under a $$90^\circ$$ counterclockwise rotation about the origin?

   • $$(-5,-1)$$
   • $$(1,-5)$$
   • $$(4,-1)$$
   • $$(-1,-1)$$

3. The air pressure $$p$$, in millibars, at a certain altitude satisfies $$|p-950|\le60.$$ Which of the following pressures, in millibars, is not in this range?

   • $$940$$
   • $$985$$
   • $$1005$$
   • $$1012$$

4. Two whole numbers have greatest common factor $$6$$ and least common multiple $$90$$. Which of the following pairs of whole numbers will satisfy the given conditions?

   • $$9$$ and $$10$$
   • $$12$$ and $$45$$
   • $$15$$ and $$18$$
   • $$18$$ and $$30$$

5. In triangle $$PQR$$, points $$M$$ and $$N$$ lie on the sides of $$PQR$$, and $$MN$$ is parallel to $$QR$$. If $$∠M=50°$$ and $$∠R=70°$$, what is $$∠P$$?

   • $$50^\circ$$
   • $$60^\circ$$
   • $$70^\circ$$
   • $$80^\circ$$

6. If $$a,b,c$$ are integers such that $$a+b$$ is odd and $$(a+b)^2+c$$ is even, which of the following must be true?

   • $$a$$ is odd
   • $$a$$ is even
   • $$b$$ is even
   • $$c$$ is odd

7. Let the function $$h$$ be defined by $$h(x)=2(x^2-5).$$ When $$h(x)=18,$$ what is a possible value of $$3x-4?$$

   • $$3$$
   • $$-4$$
   • $$-3$$
   • $$3\sqrt{14}-4$$

8. What is the matrix product:

9. In the $$xy$$-coordinate system, if $$(p,q)$$ and $$(p+3,q+k)$$ are two points on the line defined by the equation $$y=2x-7,$$ then $$k=$$?

   • $$6$$
   • $$2$$
   • $$3$$
   • $$9$$

10. What is the point of intersection in the second quadrant of the graphs of the equations $$x^2+y^2=25$$ and $$9x^2+16y^2=288$$?

    • $$(-4,3)$$
    • $$(5,4)$$
    • $$(4,-5)$$
    • $$(-2,3)$$