Part 2 — Full Practice Exam 7

Questions in this quiz (41)

1. Multiply:$$(2x-5)(4x+3)$$

   • $$8x^2-14x-15$$
   • $$8x^2-7x-15$$
   • $$6x^2-14x-15$$
   • $$8x^2+14x-15$$

2. The line $$A$$ is given by $$y=4x-1$$, and the graph of line $$B$$ is shown below.Compare the slope and $$y$$-intercept of line $$A$$ with those of line $$B$$.

   • The slope is less, and the intercept is less
   • The slope of line $$A$$ is greater, and its $$y$$-intercept is less
   • The slope is greater, and the intercept is greater
   • The slope and intercept are equal

3. A circle has an area of $$196\pi$$ square units. What is its diameter?

   • $$14$$
   • $$196$$
   • $$28$$
   • $$392$$

4. An event requires $$5$$ tables for every $$12$$ guests. How many tables are needed for $$84$$ guests?

   • $$7$$
   • $$25$$
   • $$420$$
   • $$35$$

5. A security code contains $$4$$ positions, with $$5$$ possible symbols for each position. How many different codes are possible?

   • $$625$$
   • $$20$$
   • $$125$$
   • $$1{,}024$$

6. For $$h(x)=-2x+3$$, what are $$h(-1)$$, $$h(2)$$, and $$h(0)$$, in that order?

   • $$1,7,3$$
   • $$5,-1,3$$
   • $$-5,1,0$$
   • $$5,1,-3$$

7. The equation $$P=3y+2$$ relates $$P$$ and $$y$$. What is the value of $$y$$ when $$P=20$$?

   • $$4$$
   • $$7$$
   • $$6$$
   • $$18$$

8. Gas costs $$3.24$$ dollars per gallon. A $$16$$-gallon tank is currently one-fourth full. How much will it cost to fill the remaining portion?

   • $$12.96$$ dollars
   • $$25.92$$ dollars
   • $$51.84$$ dollars
   • $$38.88$$ dollars

9. What are its area and perimeter?

   • Area: $$60$$ square units; perimeter: $$40$$ units
   • Area: $$40$$; perimeter: $$60$$
   • Area: $$120$$; perimeter: $$40$$
   • Area: $$60$$; perimeter: $$23$$

10. What is the slope of the line shown above?

    • $$-\frac{4}{3}$$
    • $$-\frac{3}{2}$$
    • $$-\frac{1}{2}$$
    • $$\frac{3}{4}$$

11. A rectangular floor measures $$9$$ feet by $$14$$ feet. It will be covered with square tiles measuring $$3$$ inches on each side. How many tiles are needed?Note: $$1$$ foot equals $$12$$ inches.

    • $$504$$
    • $$1{,}512$$
    • $$2{,}016$$
    • $$6{,}048$$

12. A club charges a one-time fee of $$40$$ dollars plus $$28$$ dollars per month. Which expression gives the total cost after $$m$$ months?

    • $$40m+28$$
    • $$68m$$
    • $$12m$$
    • $$40+28m$$

13. The chart below shows a breakdown of one company's expenditures in the month of January.Transportation represents $$36\%$$ of the total. If $$5{,}400$$ dollars was spent on transportation, what was the total expenditure?

    • $$1{,}944$$ dollars
    • $$5{,}400$$ dollars
    • $$10{,}800$$ dollars
    • $$15{,}000$$ dollars

14. Divide:$$(8.4\times10^8)\div(2.1\times10^3)$$

    • $$4.0\times10^{11}$$
    • $$4.0\times10^5$$
    • $$6.3\times10^5$$
    • $$6.3\times10^{11}$$

15. The table summarizes the number of books read by $$12$$ adults.What are the median and range?

    • Median: $$1.5$$; range: $$3$$
    • Median: $$2$$; range: $$4$$
    • Median: $$2$$; range: $$3$$
    • Median: $$2.5$$; range: $$3$$

16. A salesperson earns $$12.50$$ dollars per hour plus $$3\%$$ commission. During a $$7$$-hour shift, she sells $$4$$ computers costing $$900$$ dollars each. How much does she earn?

    • $$87.50$$ dollars
    • $$108.00$$ dollars
    • $$3{,}795.50$$ dollars
    • $$195.50$$ dollars

17. Factor:$$x^2+4x-45$$

    • $$(x+9)(x-5)$$
    • $$(x-9)(x+5)$$
    • $$(x+15)(x-3)$$
    • $$(x-9)(x-5)$$

18. Which graph represents $$y=-x$$?

19. A box contains $$7$$ colored cards: red, blue, green, yellow, orange, purple, and black. If one card is chosen at random, what is the probability of not choosing yellow or black?

    • $$\frac{2}{7}$$
    • $$\frac{1}{5}$$
    • $$\frac{5}{7}$$
    • $$\frac{5}{2}$$

20. A cylindrical can has radius $$5$$ centimeters and volume $$500\pi$$ cubic centimeters. What is its total surface area, including both circular ends?

    • $$100\pi$$ square centimeters
    • $$200\pi$$ square centimeters
    • $$500\pi$$ square centimeters
    • $$250\pi$$ square centimeters

21. Solve for $$x$$:$$3(x+5)-2x=6x-5$$

    • 4

22. Line $$p$$ has slope $$2$$ and passes through $$(3,1)$$. What is its equation?

    • $$y=2x+5$$
    • $$y=2x-5$$
    • $$y=-2x+7$$
    • $$y=x-2$$

23. Which statement is true about the relation shown in the table?

    • It is not a function because outputs repeat
    • It is not a function because an input is negative
    • It is a function
    • It is not a function because the outputs are unordered

24. What is the triangle's perimeter?

    • $$29$$
    • $$41$$
    • $$70$$
    • $$882$$

25. Line $$k$$ passes through $$(-3,-2)$$ and $$(4,5)$$. What is its equation?

    • $$y=x+1$$
    • $$y=x-1$$
    • $$y=7x+19$$
    • $$y=-x+1$$

26. The table shows each town's population and area in square miles.Which town has the greatest population density?

    • Town $$B$$
    • Town $$A$$
    • Town $$C$$
    • Town $$D$$

27. Malia recorded the temperature and amount of precipitation in her town for five days.On which day’s data pair was the temperature $$76^\circ\text{F}$$?

    • $$(72,2)$$
    • $$(76,8)$$
    • $$(70,6)$$
    • $$(64,5)$$

28. Which expression represents twelve more than one-third of a number?

    • $$12k+\frac{1}{3}$$
    • $$3k+12$$
    • $$\frac{1}{3}(k+12)$$
    • $$\frac{1}{3}k+12$$

29. Bracelets cost $$2$$ dollars and necklaces cost $$3$$ dollars. A vendor sells $$10$$ items for $$24$$ dollars. How many bracelets were sold?

    • 6

30. For $$k(x)=\frac{1}{2}x^3$$, what are $$k(2)$$, $$k(4)$$, and $$k(0)$$, in that order?

    • $$2,8,0$$
    • $$4,32,0$$
    • $$4,16,0$$
    • $$8,64,0$$

31. What is the relationship between $$3y-6x=9$$ and $$y=-\frac{1}{2}x+4$$?

    • They are parallel
    • They are the same line
    • They are perpendicular
    • They intersect but are not perpendicular

32. A square has vertices $$(5,2)$$, $$(2,2)$$, and $$(5,-1)$$. What is the missing vertex?

    • $$(5,5)$$
    • $$(2,5)$$
    • $$(-1,2)$$
    • $$(2,-1)$$

33. A ride costs $$1.25$$ dollars, and Sam has $$9$$ dollars. Which inequality represents the number of rides, $$r$$, Sam can afford?

    • $$1.25r\le9$$
    • $$r\le1.25$$
    • $$1.25r\ge9$$
    • $$9r\le1.25$$

34. The model measures $$8$$ inches by $$4$$ inches, and the scale is $$1.5$$ inches for every $$1$$ foot. What are the actual dimensions?

    • $$12$$ feet by $$6$$ feet
    • $$5\frac{1}{3}$$ feet by $$2\frac{2}{3}$$ feet
    • $$6\frac{2}{3}$$ feet by $$3\frac{1}{3}$$ feet
    • $$5$$ feet by $$2$$ feet

35. For $$f(x)=3x^2-2$$, what are $$f(0)$$, $$f(5)$$, and $$f(-2)$$, in that order?

    • $$0,75,12$$
    • $$-2,13,-14$$
    • $$-2,73,10$$
    • $$2,77,14$$

36. The equation of a line is $$4x+2y=x+8$$. What is its slope?

    • $$-3$$
    • $$\frac{3}{2}$$
    • $$4$$
    • $$-\frac{3}{2}$$

37. Simplify:$$\frac{x^2+7x+12}{x+3}$$

    • $$x+4$$
    • $$x+3$$
    • $$x^2+4$$
    • $$x+12$$

38. Which graph represents the solution to $$3x+1$$ > $$13$$?

39. The balance on a transit card is modeled by $$M=30-1.50t$$, where $$t$$ is the number of rides. If $$7.50$$ dollars remains, how many rides have been taken?

    • $$5$$
    • $$10$$
    • $$15$$
    • $$20$$

40. Solve the equation for $$x$$:$$\frac{5y}{x}=4$$

    • $$x=20y$$
    • $$x=\frac{4}{5y}$$
    • $$x=\frac{y}{20}$$
    • $$x=\frac{5y}{4}$$

41. A competitor must weigh between $$145$$ and $$155$$ pounds. The competitor currently weighs $$138$$ pounds. Which inequality describes the number of pounds, $$p$$, that must be gained?

    • $$7$$ < $$p$$ < $$17$$
    • $$7$$ < $$p$$ < $$293$$
    • $$283$$ < $$p$$ < $$293$$
    • $$145$$ < $$p$$ < $$155$$