Ratios & Proportions
The total cost of 100 pencils at a constant rate is $39.00. What is the unit price?
$0.39
Evaluate 25 + 2.005 - 7.253 - 2.977
16.775
Ruby is 2 years younger than her brother. If Ruby's brother's age is A, write an expression to correctly represent Ruby's age.
A - 2
See image # 3. Triangle ABC and PQR are similar. Find the value of x.
28
The following data set represents survey results on a scale of 1 to 10. {8, 8, 9, 8, 6, 7, 7, 7, 8, 8, 6}. Which of the following surgery result would you be most surprised with if given by the next person surveyed? 5? 6? 7? 8?
5
Ping played three-fourths of a football game. The game was three and a half hours long. How many hours did Ping play? Be exact.
2 hours 37 minutes and 20 seconds
See image #2
3 and 7/20
Find the difference:
8n - (3n - 6) =
5n + 6
If the sides of two similar figures have a similarity ratio of 3/2 what is the ratio of their area?
3/2? 9/4? 1/3? 3/1?
9/4 (the ratio of the areas is the square of the ratio of the sides)
Jack scored 7, 9, 2, 6, 15, and 15 points in 6 basketball games. Find the mean, median, and mode scored for all the games.
Mean = 9, Median = 8, Mode = 15
See image #1.
B.) b = 3a
What is the sum of k and the opposite of k?
a.) 2k
b.) k + 1
c.) 0
d.) -1
c.) 0
Simplify the expression:
3 (x + 4 ) - 2
3x + 10
Two sides of a triangle have the lengths of 10 and 12. What could be a possible length of the third side?
any number > 0 and < 22
Mary had 3 red marbles and 7 yellow marbles in a bag. If she were to remove 2 red and 1 yellow marbles and set them aside, what is the probability of her pulling a yellow marble as her next marble?
6/7
If y = 3x, what is the constant of proportionality between y and x?
3
The distance between H and K on a number line is 9/4. If K has a value of 7/4, what could be a possible value of H?
Either 4 or -1/2
Jim is 4 years older than his brother Bob. In two years, Jim will be twice Bob's age. How old are they now?
Bob is 2 and Jim is 6
A circle is divided into 4 equal sections. What is the measure of each of the angles formed at the center of the circle?
90 degrees
Clarissa has a box of chocolates with the following flavors: 24 cherry, 26 caramel, 29 fudge, and 16 taffy. If she picks out all the taffy, what is the probability that she will pick a fudge chocolate at random?
2 out of 7
Write a mathematical statement (equation) for the relationship between feet and yards.
number of feet / number of yards = 3
True or False. When multiplying two integers, if the signs are both negative, then multiply the numbers and give the answer a negative sign.
FALSE
A garden center sells 21 trays of red flowers and 12 trays of pink flowers every day. The garner wants to know how many days, d, it will take to sell more than 200 trays of flowers. Write an inequality to model the situation.
21d + 12d > 200
See image #4. Find the measures of the missing angles in the figure.
50 and 100
Sandy flipped a coin 40 times. Her results are 75% heads and 25% tails. What is the difference between the actual results and the expected results?
25%