Pre-Algebra – Final Exam Review – Multiple Choice Name: ______Period: ______
For EACH question, show your work or explain your answer!

1.Annabelle earns $8.75 for each hour she works. On Monday she worked for 6 hours. She also worked on Tuesday. If she earned a total of $122.50 for the two days of work, how many hours did she work on Tuesday?

2.If are placed in order from least to greatest, which will be the least?

3.Which number would be closest to 10 on the number line?

  1. -9

4.How many times bigger is the weight of the Carnival than the weight of the Titanic?

Ship / Weight (Tons)
Titanic /
Carnival /

5.How many solutions does the equation have?

  1. Infinitely many solutions
  2. No solution
  3. One Solution
  4. Cannot be determined

6.A dozen organic eggs cost $6.12 and 18 eggs cost $9.18. What is the rate of change?

What is the solution of the following equations? Show all your steps and your check!

7.

8.

9.

10.)

What is the simplified form of the expression?

11.

12.

13.

14.

15.Is the relation a function? What is the explanation for your answer?

  1. Yes, because every ordered pair has a 2 in it.
  2. Yes, because each x value is paired with only one y value.
  3. No because 2 is paired with multiple x values.
  4. No because all the numbers are positive.

16.Students chose three favorite pizza toppings. Which of the following statements is NOT supported by the data in the table? What is the explanation for your answer?

Pizza Toppings
Pepperoni / Onions / Pineapple
Girls / 12 / 8 / 2
Boys / 12 / 16 / 4
  1. Twice as many boys as girls chose onions.
  2. Three times as many boys chose onions as pineapple.
  3. Half of the students who chose pineapple were girls.
  4. The total number of students who chose pepperoni is equal to the total number who chose onions.

17.Fill in the statement about the scatter plot shown below.

18.Graph a trend line for the scatter plot shown below. What makes it a good trend line? / 19.Given the following table, write an equation describes the relationship?
/ x / y
-9 / -6
-4 / -1
0 / 3
4 / 7

20.What is the slope of the line that passes through the points (-5,6), (8,9)?

21.The slope of the line passing through the point (3,4), (7,y) is . What is the value of y?

22.Which function below is non-linear? What is the explanation for your answer?

x / 0 / 2 / 4 / 6
y / 5 / 7 / 9 / 11
  1. c.

23. Graph the equation.

24.Rounding to the nearest tenth, what is the length of the diagonal in the rectangle below?

25.Which of the following ordered pairs is a solution of ?

  1. (1,-2)
  2. (1,2)
  3. (1,7)

26.Which can holds more soup? (Note: Cans are not drawn to scale.)

Name / Diameter / Height
Campbell’s / 65 mm / 98 mm
Progresso / 85 mm / 107 mm

27.What is the value of x in the diagram below?

28.What is the rate of change for the given graph? What is the explanation for your answer?

/
  1. ; length increases 1 inch every 1 minute
  1. ; length decreases 1 inch every 1 minute
  1. ; length increases 1 inch every 10 minutes
  1. ; length decreases 1 inch every 10 minutes

29.You want to solve this system of equations using elimination. The first step is to add the equation to eliminate y. What should be your next step?

30.Keira’s piggy bank contains pennies and quarters worth $7.31. She has 35 coins in all. Let p represent the number of pennies and q represent the number of quarters. Write a system of equation that models this problem.

31.A pick-up truck is unloading gravel that falls into a pile in the shape of a cone. Find the height of the cone when the diameter of the pile is 10ft. and the volume of the sand is 300 cubic feet. Round your answer to the nearest tenth.

32.Using the image on the right, the lighter figure is a dilation image of the darker figure. What is the scale factor? / 33.
34.What is the solution to the system of equations graphed below? / 35.Graph system of equations below.

36.After inspecting the two equations, what is the best algebraic method that could be used to solve the system below?

  1. Elimination by Addition
  2. Elimination by Subtraction
  3. Graphing
  4. Substitution

37.What is the solution for the system of equations shown to the right?

38.What are the coordinates of the point J(-4,6) after a rotation of about the origin? (use the graph, if it helps you)

39.Does the figure at the right have any rotational symmetry? If so, what is the angle of rotation?

40.Which hill described in the table is the steepest? What is the explanation for your answer?

Street / Horizontal Distance (ft) / Vertical Rise of Street (ft)
Blue Hill / 100 / 80
Red Hill / 100 / 30

41.A sphere has a volume of 30 cubic inches. Rounded to the nearest tenth, what is the radius of the sphere?

42.What is a possible equation for the line graphed below? What is the explanation for your answer?

A.

B.

C.

D.

43.Staples charges a fee of $30 to copy papers plus $3.35 per mile that the driver has to travel for the delivery. Write a function rule that describes this relationship where c represent the total cost and m represents miles.

44. A boy decides to take his dog for a walk. Graph a representation of the walk with respect to time (x) to the distance from his house (y).

The boy leaves the house, takes a 10 minute walk to the park, stays at the park for 20 minutes and decided to jog back to the house in 5 minutes.

45.According to the graph below, when is the distance from home decreasing? What is the explanation for your answer? / 46.What is the equation of the trend line drawn?

47.

  1. The frequency table below shows the amount of babies born in a hospital in one day. The table shows how many were boys and girls and also their hair color.

Blonde Hair / Brown Hair
Boys / 63 / 21
Girls / 57 / 35
Total / 120 / 56

Based on the table, about what percent of babies that had brown hair were girls?