6th Grade Expressions
The difference of 6 times a number and 4
6x - 4
What is the probability of an impossible event?
0
The parallel sides of a trapezoid shaped garden are 16 and 32 feet. The shortest distance from one side to the other is 10 feet. What is the area of the garden.
240 square feet
What is a solution to x3 = 64?
4
Kiley is dividing 2/3 of a cake equally between herself and each of her 3 friends.
How much cake should each person get?
1/6 of the cake or 0.1667
the product of a number and the sum of 4 and 6
(4 + 6)x
An event that is "certain" to happen has a probability of what?
1 or 100%
A triangle is created with side lengths of 12 inches, 32 inches, and 34 inches. Is the triangle a right triangle?
No
What is the value of 5.74 x 103 expressed in standard numeral form?
574
Harrison worked 17 days last month. He worked 7.25 hours on each of those days, and he earned $14.75 for each hour that he worked.
$1817.94
6 times the quotient of a number and 4
6 (x/4)
A spinner has 2 blue, 2 green, 2 yellow, and 2 red sections. If the spinner is spun 120 times, how many times would you expect the spinner to land on yellow?
30 times
A ladder is leaning against a vertical wall on horizontal ground. If the bottom of the ladder is 9 feet from the bottom of the wall, and the ladder is 15 feet long, how high above the ground is the top of the ladder resting against the wall?
12 feet
Two lines with equations 10x−3y=−1 and 8x+y=23 are graphed on the same coordinate plane.
At what value of x do these lines intersect?
2
Lighthouse A sounds a foghorn every 3 hours, and Lighthouse B sounds a foghorn every 10 hours.
If both lighthouses sound their foghorns at the same time, how many hours will it be until the next instance when both foghorns sound at the same time?
30 hours
6 more than 4 times a number
4x + 6
A random sample of 102 students found that 4 out of 6 students brought a lunch to school instead of eating the cafeteria food.
At this rate, how many students would eat the cafeteria food if 510 students were in attendance?
340 students
Ophelia stands on the roof of a tower that is 40 feet tall and shines a laser pointer onto the ground.
If the laser pointer's beam meets the ground at a spot that is 75 feet away from the base of the tower, then how far, in feet, has the laser pointer's beam traveled?
85 feet
Light travels from the Sun to Earth in approximately 8.3 minutes. The speed of light is 299,792 kilometers per second. What is the approximate distance from Sun to Earth in kilometers in scientific notation?
1.49 x 108 or 149,296,416
Nelson's triangle has angles of 62∘ and 84∘.
What is the measure of the third angle?
34
the product of 4 and the sum of 3 and x
4 (3 + x)
At a football game, 40 fans were randomly surveyed. Of the sampled fans, 6 named Daren as the best player.
Given this sample, if there are 12,000 fans altogether at the game, how many fans would likely name Daren as the best player?
1,800 fans
A right triangle has leg lengths of 10 and 24 feet. What is the length of the hypotenuse?
26 feet
Light travels from the Sun to Earth in approximately 8.3 minutes. The speed of light is 299,792 kilometers per second. What is the approximate speed of light in kilometers per hour ( written in scientific notation)?
1.08 x 109 or 1,079,251,200
Neil drew two large circles on his poster board. Circle A had a radius of 13.5cm. Circle B had a radius of 7.5 cm.
What was the difference in the circumferences of Neil's two circles?
37.68 cm