Download 10/18 Practice Problems

 1 Praxis Workshop Series:
10/18 Practice Problems
Section 1: Central Tendency
1.
Analyze the following set of data: 5 12 11
9 5 14 Mean: Median: Mode: Range: 2. Your friend earns the following test grades: 98, 76, 81, 90 and 68. She asks you to help her find the mean of her grades. What will the mean be? 3. Find the median of the following data points: 101 2
12
100 5
17
29
31 2 Section 2: Percent Increase/Decrease
4.
The snowfall in Detroit in January 2011 was a total of 22 inches. Detroit’s snowfall in March 2011 was only 10 inches. What was the percent increase or decrease between the snowfall in January and March? 5.
A store buys a dress for $20 and sells it for $50. What is the percent increase from the original price to the selling price? 6.
If you are trying to find percent increase and you subtract the old value from the new value and divide by the old value, you will get a decimal. What should you do to that decimal to turn it into a percent? (e.g.: Turn 0.05 into a percent.) Section 3: Linear Relationships
7.
In the formula for a linear equation, y = mx + b, what does “m” stand for? What does “b” stand for? 8.
On the coordinate plane below, label the following points: ( 2, 4) (­1, 3) (5, 0) 3 9.
Find the slope between these two points: (4, 2) and (9, ­5) 10.
Write a linear equation to represent the following situations: A cab company charges $3 up front and $1.50 per mile. Your new gym charges you a one­time fee of $135 and then $10 per month. Section 4: Solving Equations/Inequalities
11.
Solve for x:
2x ­ 5 = ­10x + 7 12.
Find the point of intersection for the following two lines: y = ­5x ­10
y = 2x + 6 13.
Find the point of intersection for the following two lines: y = 12x ­ 3
y = ­6x + 7 4 14.
Solve for x. 15.
Solve for x. Section 5: Systems of Equations
16.
To solve the following problem, write a system of equations and solve for the variables: I went to Staples and bought 5 folders and 10 notebooks for $16. Luke went to Staples and bought 10 folders and 3 notebooks for $12. How much do the folders and notebooks cost? 17.
To solve the following problem, write a system of equations and solve for the variables: You went to the store and bought 5 scarves and 3 pairs of shoes for $90. Your friend went to the store and bought 4 scarves and 9 pairs of shoes for $100. How much do the scarves and pairs of shoes cost? 5 Section 6: Probability
18.
If you roll a dice and then flip a coin, what is the chance that you will roll an odd number and get a heads? 19.
You have a bag with 9 purple marbles, 7 blue marbles, and 2 yellow marbles. a. If you pick from the bag once, then return the marble you pick and choose again, what is the chance that you will get a purple marble both times? b. If you pick from the bag twice without replacing the marble in the between, what is the chance you will pick a blue marble and then a yellow marble? 20.
If you roll two dice, which of the following sums is most likely to be rolled? a. 1
c. 6 b. 2
d. 11