Rational Numbers & Proportional Relationships
True or False. √2 is a rational number
False
What is the formula for a circle's area?
A = πr2
Solve for x.
2x+3 = 6
x = 1.5
A pool has a length of 13ft, a width of 5ft and a depth of 10ft. How much water do you need to fill the entire pool?
650 ft3
What is 2 cubed?
8
True or False. The equation y=17x+5 is non proportional
True
What is the formula for a circle's circumference?
dπ or 2πr
Factor the expression
90x + 30
1/4
How would you write 8,000 in scientific notation?
8 * 10³
True or false. 3 is a rational number.
True
Simplify the inequality.
4x+13 > 5/10
x > -3 1/8
What is a complementary angle?
Two or more angles that add up to 90 degrees.
A trapezoidal prism has a base with are of 13, and height of 5. What is the volume of the prism?
65
What is the square root of 196?
14
What are the properties of a proportional relationship?
Passes through origin, linear, equation is y=kx.
Solve the inequality
x/4 + x/3 + x/2 > 15
x > 15/13
Angle 1 and angle 2 are supplementary. Angle 1 is x + 95 and Angle 2 is 4x. What is the value of x?
x = 17
5/11
What is 4³ * 4⁵?
4⁸.
Wave Water Park has an entrance fee of $13, and for each additional ride, it cost $5. What is the equation for the cost for someone to come to the park, and is it proportional? Use the variables y for total cost, and x, for the amount of rides they went on.
y = 5x+13 No it is not porportional
Billy Bob uses 2 2/3 cups of flour for 2 batches of cookies. How many cups of flour would he need to bake 8 batches of cookies?
10 2/3 cups of flour.
Solve the equation.
x + 17 - 815x/5 -13 = 328
x = -2
Maya is buying a gift for her mom on Mother's Day. One gift is a jewelry box with dimensions of 5in * 3in * 1in. Another gift is a pencil box with dimensions of 6in * 4in * 3in. She wants to put her gifts in a box, and wants to have room left after placing her gifts inside. What is the smallest volume that her gift box could be?
88 inches cubed.
Yuyu was doing his math homework, but his cat accidentally scratched out a few of his answers. Yuyu had written out the number 25,000 on his paper. His cat had scratched out the scientific notation part of his answer. What is the scientific notation form of 25,000?
2.5 * 10⁴