Rational Numbers
What is the absolute value of -42?
42
Solve for x.
x + 15 = 40
x = 25
What is the sum of the interior angles of a quadrilateral?
360 degrees.
What is the theoretical probability of rolling a 4 on a standard six-sided die?
1/6
What is -8 times -7?
56
Convert the fraction 3/5 into a decimal and a percentage?
0.6 and 60%
A car travels 150 miles in 3 hours. What is the unit rate?
50 mph
If the base of a cylinder has a diameter of 8, what is the radius?
4
You flip a coin 50 times and it lands on heads 28 times. What is the experimental probability of landing on heads?
28/50 or 56%
Simplify.
10 - |-5 + 2|
7
A submarine is at -120 feet. It rises 45 feet, then drops 30 feet. What is its new elevation?
-105 feet
In a Proportional relationship. if y=20 when x=5, what is the constant of proportionality (k)?
k= 4
Find the volume of a rectangular prism with length 5in, width 2in, and height 10in.
100 cubic inches
A class tossed a coin 15 times and landed on heads 6 times. The class plans to flip the coin 200 more times. What can be expected to happen to the experimental probability of flipping the coin?
It will get closer to the theoretical probability (1/2).
Simplify.
(-4)^2 + 6/2
19
Which is greater -0.75 or -1/4?
-1/4
Solve the two-step equation.
3x - 5 = 16
x=7
Find the surface area of a cylinder that has a height of 14 and a diameter of 6.
320.44
A bag contains 2 red, 3 blue, and 5 green marbles. What is the theoretical probability of picking a blue marble?
3/10 or 30%
Jocelyn has 4 pieces of ribbon that are 12 1/2 inches long. She needs to cut the ribbon into pieces that are 3 1/4 inches long for her project. How many pieces will she be able to cut?
15
Simplify the expression: (-12)+4(-3) - 10
-34
Write an inequality for this statement. "Twice a number increased by 7 is at most 25."
2n + 7 <= 25
Lauren argues that every rhombus is a square. She states they both have 2 sets of parallel sides and both have 4 congruent sides. Is Lauren correct? Why or why not?
No. Every rhombus is not a square because EVERY rhombus does NOT have 4 right angles.
A spinner has 4 equal sections. In 10 spins, it lands on red 3 times. How does the experimental probability compare to the theoretical probability of spinning a red? Which is higher?
The experimental probability is higher than the theoretical.
Serena needs to get gas for her car. The tank can hold 6 gallons of gas. Each gallon cost $3.80. If the tank is already 1/4 full, how much will Serena spend on gas?
$17.10