Unit 1: Operations with Rational Numbers
-8 + 5 = ?
-3
Simplify the expression: -5(x + 3) + 7x - 2
2x - 17
In y = -9x, what's the constant of proportionality?
-9
When you slice a cylinder (can of Pringles) vertically, what cross section do you get?
rectangle
Find the median of the following data: 8, 15, 10, 5, 11, & 2.
9
25(15 - 25) = ?
-250
Solve the expression: 8x + 12 if x = -4
-20
A model of a car was built with a scale of 2 inches = 1.5 feet. If the actual car is 9 feet long, then how many inches is the length of the model car?
12 inches
What is the volume of a rectangular prism with a length of 8 cm, width of 4 cm, and a height of 5 cm?
160 cm3
Find the IQR if the lower extreme is 5, the upper extreme is 30, the lower quartile is 12, the upper quartile is 21, and the median is 17.
9 because 21-12
4 - (-3) + 16 / (-4) * 2 = ?
-1
Graph the inequality: -2x < -8
Open circle at 4 and shade to the right.
Irene's meal was $20 and she left a 15% tip. How much did she leave in all?
$23
Angles a & b are complementary. The measure of angle a is -3x +20. The measure of angle b is 6x +10. Find x.
x = 20
A standard number cube is rolled 10 times. How many times would you expect to get an even number?
5 because 1/2 of 10 = 5
You have $100 in your bank account. Then, you withdraw $75 and deposit $60. How much do you have now?
$85
Graph the inequality for x: The product of 4 and x is less than or equal to -12.
Closed circle at 3 and shaded to the left
During cooking, a scallop loses 10% of its weight due to water loss. To keep 1,170 grams of cooked scallops, how many grams of uncooked scallops must be used?
1,300 grams because 90% of x = 1,170.
Find the area of a circle if its diameter is 20 cm. Use 3.14 for pi.
314 cm2
Ayden flipped a coin 60 times and it landed on tails 28 times. What was his experimental probability written as a fraction is simplest terms?
7/15
.25 * 22 / (-5) = ?
-.20
Solve the equation for x: -3(2x - 4) = 48
x = -6
In 10 days (x), there have been 50 visitors (y). Write an equation to represent this statement.
y = 5x
Find the surface area of a cube if each length is 3 inches.
54 in2
A spinner has 4 equal sides: A, B, C, & D. A standard number cube has 6 sides. What's the theoretical probability of getting a C and a number less than 6?
5/24