Algebra
Simplify:
a + 3b - 9 + a - 3b + 5
2a - 4
Name the property:
a(b + c) = ab + ac
What is the Distributive Property?
Define the mean.
What is the average?
The sum of two numbers is zero. If one number is 5, what is the other number?
-5
Kimberly is planning a party at a trampoline park. It will cost $45 to rent the park, plus an additional $9 per guest. She wants to spend less than $125 on the party. Write an inequality to determine the maximum number of guests, g, that can be invited to remain under her budget.
45 + 9g < 125
Simplify:
0.5(18y - 2y + 10)
8y + 5
Name the property:
4 + 2x = 2x + 4
What is the Commutative Property?
Define the median.
What is the middle number (after placing the numbers in order from least to greatest.)
Kasey and Andrew each went for a walk, once a day, for 4 days.
Kasey walked 3/4 mile each day.
Andrew walked 3/5 mile each day.
At the end of the 4 days, how much farther, in miles, had Kasey walked than Andrew?
0.6 miles
A bag contains 3 green marbles, 5 blue marbles, and 2 yellow marbles. Maria draws a marble from the bag, records its color, and then puts it back in the bag. She does this 40 times.
Predict how many times Maria will draw a yellow marble.
Maria will likely select a yellow marble 8 times.
Simplify:
-3(x - 4) + 9x
6x + 12
Name the property:
3 + (5 + 4x) = (3 + 5) + 4x
What is the Associative Property?
Define the mode.
Most frequently occurring number in a set of data.
A scuba diver dives 24 feet below the water's surface. The diver then rises 10 feet, stops, and then dives downward another 18 feet. How far, in feet, does the diver need to rise upward to reach the water's surface?
The diver needs to rise 32 feet upward to reach the water's surface.
-24 + 10 - 18 = -32
A student has a bus pass with a balance of $30.00. Each time the student rides the bus, the balance on the bus pass decreases by $2.25. What is the greatest number of bus rides the student can take using the bus pass?
13
Solve for x:
4(x - 1) = 8
x = 3
The distance from zero on a number line.
What is the absolute value?
Find the mean of the following basketball scores:
25, 32, 33, 40, 25
What is 31.
Is the following number a rational number?
0. 123123123...
Yes! Repeating decimals are rational!
Joseph has a part-time job. The graph below represents the amount Joseph earns, in dollars, for the number of hours he works.
Based on the graph, write an equation that can be used to determine the earnings, in dollars, for every hour he works.
y = 15x
Solve for x:
-3(x - 5) = 21
x = -2
What is the constant of proportionality for the relationship between x and y?
1.50
Find the outlier of the following test scores:
88, 89, 92, 95, 99, 39, 91, 95, 89, 89
What is 39?
Is the following number a rational number:
0. 145437865...
0. 145437865... is NOT rational. This number goes on forever but does not have a repeating pattern.
The bill for a dinner at a restaurant is $58.20, before sales tax and tip. Sales tax is 5% of the dinner bill. Tip is 20% of the dinner bill. How much is the total bill including tax and tip?
$72.75
Solve the inequality:
-3x - 8 > -11
x < 1
Based on a weather report, the probability that it will snow tomorrow is 0.13. Which word describes the likelihood that it will snow tomorrow?
A. Certain B. Impossible C. Likely D. Unlikely
D. Unlikely
Find the mode of the following:
6, 3, 4, 2, 5, 6, 4, 3, 4, 2, 6, 2, 4
Wha is 4?
A family of 2 adults and 2 children went to a fair. The costs of admissions and rides are listed below.
- $11.00 for admission for each adult.
- $5.00 for admission for each child.
- $1.25 per ride.
The family spent a total of $52.00 on admission and rides. How many rides did the family pay for?
16 rides
A bicyclist travels 6 1/2 miles in 2/3 hour. What is the average speed, in miles per hour, of the bicyclist?
9 3/4