Number Systems
A recipe for 4 cups of trail mix calls for 2/3 cup of raisins. Aniyah has 1/2 cups of raisins. Does Aniyah have enough raisins to make 14 cups of the trail mix? If not, how many more cups of raisins does Aniyah need?
Aniyah needs another 5/6 cup.
What is 5x(-3)?
-15
What are the 3 ways to represent ratios?
x:y
x/y
x to y
What is the perimeter of a rectangle with length 5.4 units and width 1.9 units?
14.6 units
If you tag 35 tigers in Africa and later you saw a pack of 50 tigers, 5 of which were tagged. What is the estimated population?
About 350
If you deposit $20 into your bank account, but then spend $15 at the movie tickets for you and your friend and another $10 for snacks. How much many do you have left?
-$5
Simplify -5(2x + 3)
-10x-15
If there are 45 houses on 3 blocks. How many houses are there per block?
15 houses
If you have two supplementary angles, one of which has a measure of 60, what is the measure of the other angle?
120 degrees
If 1/3 of 7th graders say they hate math. What can you infer about the other 2/3?
That 2/3 of the 7th grade like math.
A bat and 2 balls cost $1.10. The bat costs $1 more than the balls. How much does each ball cost?
$.05
Write the equation.
The sum of negative 45 and y is 100.
-45 + y = 100
Meg and Gabby work at a car wash. Meg worked 4 hours and earned $31. Gabby worked 5 hours and earned $37.50. Who makes more money per hour and how much do they make?
Meg and $7.75
If you have two angles that are complementary, one of which measures 89 degrees, what is the measure of the other angle?
1 degree
If we know that 1/3 of the 7th grade hates math. What is the estimated number of students that hate math in a class of 22?
Around 7 students
Given that you have a total of 45 marbles, 10 of which are blue. What is the probability of pulling a blue marble the next time you pick a marble at random?
10/45 or 2/9
Simplify (2x+3y)-(-3x+5y)
5x-2y
Do the ratios 9/6 and 6/4 from a proportion? How do you know?
Yes. If you divide them, they are both equal to 1.5
You have a dog that goes on a runner that is attached to a tree. The runner is 8 ft long. How much area does your dog have to run?
Find the area of a rectangle with side lengths of 9.5 and 14.2
134.9
If the probability of rolling a dice and landing on a number less than 3 is 1/4. How many times can we expect to roll a number than than 3 if we roll our dice 400 times.
100 times
Simplify 5(x-3y) - 5x- 3y
-18y
Solve for m.
m/924 = 22/21
m = 968
Rectangle ABCD has a length of 4cm and a width of 6cm. Square PQRS has side lengths of 5cm. What is the combined area of both polygons?
24 + 25 = 49cm2
If the temperature was 12 degrees one day and negative 9 degrees the next. How much did it change?
21 degrees