Data
Calculate the range of the data set.
{57, 49, 103, 44, 90, 102, 49}
59
Evaluate:
10 - 3 x 4
-2
Solve for x:
13x = 104
x = 8
A painter rented a wallpaper steamer at 9 a.m. and returned it at 4 p.m. He paid a total of $28.84. What was the rental cost per hour?
$4.12
Evaluate 2x + 3x - 6x + 2 when x = 0.5
1.5
A bag of marbles contains 7 black marbles and 4 red marbles. When pulling one marble from the bag, what is the probability it will be a red marble?
4/11
Evaluate:
(8 - 5)2 + 4
13
Solve for a:
7a + 49 = 70
a = 3
There are s steps from the pedestal to the head of the Statue of Liberty. The number of steps in the Washington Monument is 27 less than 6 times the number of steps in the Statue of Liberty. Write an expression that represents the number of steps in the Washington Monument in terms of s.
6s - 27
What is the value of 36x - 8y2 when x = 3 and y = -6?
-180
Find the mean, median, and mode of the following data set:
{8, 17, 3, 12, 7, 4, 12}
Mode: 12
Median: 8
Mean: 9
Evaluate:
(17- 6 ÷ 2) - 3 x 4
2
Solve the inequality for x:
4x - 17 > 19
x > 9
(x = 9 does not count)
Dominic earns $285 per week plus an 8% commission rate on all his sales. If Dominic sells $4,213 worth of merchandise in one week, how much will his total earnings for the week be?
$622.04
What is the greatest common factor of 24 and 80?
8
Ella scored a 83 and a 68 on her first two exams. To raise her mean score to an 80, what is the lowest grade she could obtain on her third test?
89
Evaluate:
-2(1 x 4 - 2 ÷ 2) + (6 + 2 - 3)
-1
Solve for y:
3(y - 7) + 2y - 4 = 25
y = 10
The cost to purchase bags of coffee is given by C = 7.50 + 15B, where C is the total cost of the order and B is the number of bags. How many bags were ordered if the total cost of the order was $97.50?
B = 6
What is the lowest common multiple of 10 and 2?
10
A bag of marbles contains 8 black marbles and 4 red marbles. When pulling two marbles from the bag without replacing the first, what is the probability that both will be black marbles?
14/33 or ~42.42%
Give an example of an undefined expression.
Correct answers include anything with 0 in the denominator, or the square root of a negative number
Solve the inequality for x:
-0.5x ÷ 5 < 2
x > -20
(The sign flips because we multiply both sides by a negative number)
Write an algebraic expression that represents the following:
The product of four more than twice a number and 7 fewer than another number
(2x + 4)(y - 7)
Factor the following:
9x2 - 15x
(HINT: think distributive property in reverse)
3x(3x - 5)