Operations with Rational Numbers
-8 + (-23) =
-31
Simplify the expression by combining like terms:
6.6 + 8.1z -2.3z +9.1
5.8z + 15.7
A recipe uses 3/4 teaspoon of baking soda and 3 teaspoons of salt. Write the ratio of baking soda to salt. Then find the value of the ratio.
3/4 : 3 ; 1/4
Write 91% as a decimal.
0.91
Find the circumference of a circle with a diameter of 19 meters. Use 3.14 for pi. To find circumference, multiply the diameter times pi.
about 119.32 m
-7/4 + (5/2) =
3/4
Find the difference:
(5/6x - 7) - (1/2x - 6)
1/3x - 1
A person walks 1/4 mile in 1/12 hour. What is the person's speed in miles per hour?
3 mph
What percent of 75 is 9?
12%
Find the area of a rectangle with a base of 2.5 feet and a height of 3 feet. Formula: A=bh
7.5 square feet
Find the distance between these two numbers: -2 1/5 and 3/5.
2.8
Factor: 6x + 36y by using the GCF.
6(x + 6y)
Solve: 10/y = 5/8.
y = 16
Find the sale price of a $70 item after a 20% discount.
$56
Can a triangle with the following angle measurements form a true triangle? (Think about how many degrees the three angles in a triangle add up to).
37 degrees, 42 degrees, and 102 degrees.
No - the sum of these angles is 181 degrees. The angles in a triangle add up to 180 degrees exactly.
Here are four account transactions. Find the account balance after the transactions when the account started with a balance of $95.
Deposit: $15
Withdrawal: -$65
Deposit: $40
Withdrawal: -$15
$70
Solve the equation: -32 = 4m
m = -8
Two triangles have the same heights. One triangle has a base that is four times the base of the other triangle. Are the bases and the areas of the two triangles proportional? Explain.
Yes. Same heights and the larger base is 4 times the smaller base.
There are 6 red marbles and 11 orange marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a red marble?
6/17 or about 35.3%
Angles 1 and 2 form a straight line. Angle 1's measurement is (x-3) degrees. Angle 2 is 45 degrees. Find the value of x.
x=138
Write 13/4 as a decimal.
3.25
Solve 7z + 5 - 9z < 18+7, then graph the solution.
z > -10
Check graph
You paint three walls. Each wall is a rectangle with a length of 18 feet and a height of 10 feet. One gallon of paint covers about 300 square feet. How many gallons of paint do you need in order to cover the walls?
1.8 gallons exactly. You will need to buy 2 gallons.
You roll a six-sided number cube and flip a coin. What is the probability of rolling a number greater than 5 and flipping heads?
1/12 or about 8.3%
Can a quadrilateral be constructed with the following angle measurements: 90 degrees, 71 degrees, 56 degrees, and 143 degrees?
Yes. The angles add up to 360 degrees.