Inequalities
I am thinking of a number. When I multiply it by 4 and subtract 5, the result is less than 19.
What inequality represents this situation and what is the solution set?
What is 4x – 5 < 19; x < 6?
Find the volume of a cube with side length 4 cm
64cm3
A quadrilateral has two pairs of parallel sides and opposite angles are equal. What is it?
What is a parallelogram?
Evaluate: −3 + 4.5
1.5
A pizza costs $12. You have $48. How many can you buy?
4
A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of pulling a blue marble?
3/10 or 30%
Draw on a numberline the solution to: x−5 ≥ −2
What is a closed circle at 3 with an arrow to the right?
A cylinder has a radius of 3 cm and a height of 5 cm. What is its volume?
What is 45πcm3 or 141.37cm3
Which quadrilateral has exactly one pair of parallel sides?
What is a trapezoid?
Order from least to greatest: 1/2, −0.25, 0.4,−3/4
What is −3/4,−0.25, 0.4, 1/2
Olivia earns $15/hour babysitting. She wants to save $120. Write and solve an equation.
15x = 120
x= 8
The probability of an event occurring is 7/20. What is the probability that it does not occur?
What is 1−7/20 = 13/20
Maya solves 4x−7 > 3x+5 What is the solution?
What is x >12
Find the surface area of a rectangular prism: length = 5 in, width = 2 in, height = 4 in.
76in2
A right triangle has an angle that measures 43 degrees. Find the missing angle
47 degrees
What is the value of 1/12 + 1/6 + 2/6?
7/12
A gym charges $20 to join and $30/month. You have $140. How many months can you go?
A: What is 20+30x=140
x=4 months
You flip a coin and roll a 6-sided die. What is the probability of getting heads and a number greater than 4?
What is 1/2 × 2/6 = 1/6
A number divided by 2 is no more than 6. Write and solve the inequality.
What is x/4 ≤ 6 ; x ≤ 6
A triangular prism has a base area of 12 cm² and a height of 10 cm. Find the volume.
What is 120sm3
A kite has side lengths 5 cm, 5 cm, 3 cm, and 3 cm. Which angles are congruent?
What is only the angles between unequal sides?
Multiply: −2/3 × 3/5 ÷ 1/2
-4/5
A phone plan costs $45/month. After 6 months, you paid $315. What was the monthly cost plus tax?
What is 315÷6=52.50
$7.50 in tax/fees per month?
A deck has 4 red cards and 6 black cards. If one red card is removed without replacement, what is the probability that the next card drawn is also red?
What is 3/9=1/3
Solve: 3(2x−4) ≤ 2(x+5) + x
What is x ≤ 7
A composite solid is made of a cube (side 4 cm) on top of a cylinder (r = 3 cm, h = 5 cm). Find the total volume.
What is 64+45π ≈ 205.37cm3
A quadrilateral has perpendicular diagonals that bisect each other, and all sides are equal. What is the shape, and prove it.
What is a square; it's a rhombus and a rectangle.
Sophia has 1.25 meters of ribbon and wants to divide it evenly among 5 crafts. How much ribbon per craft?
0.25 meters or 1/4 meters
A plumber charges $75 for the first hour and $40 for each additional hour. A bill is $235. How many total hours was the plumber there?
What is 5 hours?
(75 + 40x = 235 → x = 4 → total = 1 + 4 = 5 hours)
You roll a die 100 times and get a “6” only 10 times. What is the experimental probability of rolling a 6, and how does it compare to the theoretical probability?
What is experimental: 10/100=0.1
theoretical: 1/6 ≈ 0.167
The experimental probability is lower.