Number System
What is the definition of absolute value? Find |-20|
Absolute value is the distance a number is from 0. |-20| = 20
Combine like terms: -18y + 22y =
= 4y
A snail moves 1/40 of a mile in 4/5 of an hour.
What is its speed in miles per hour?
5/160 = 1/32 mph
A student is randomly selected from a class of 32 students. There are 20 girls in the class. What is the probability that the selected student is a boy?
32 - 20 = 12 12 / 32 = 6 / 16 = 3/ 8
A circle has a diameter of 6 inches. What is it's area? Use the pi button on your calculator, round to the nearest tenth.
28.27 inches2
- (4) - (-13) =
-4 - (-13) = Remember: -(-) = + -4+13 = = 9
Use the distributive property to simplify the expression: -8( -x + 5 ) - 3x + 5 =
= 5x - 35
A pizza shop wants to determine how often it delivers to different parts of the city. The results below shows a sample of 100 deliveries.
Upper Arlington: 15
Dublin: 30
Clintonville: 45
Worthington: 10
Base on this data, if they make 300 deliveries, how many times would they expect to deliver to Dublin?
90 times
A right triangular prism has a height of 5 cm, a length of 10 cm, and a width of 2 cm.
What is the volume of the prism?
50 cubic cm
-1/6 + 3/12 = ?
= 1/12
Use inverse operations to solve for "x"
-11x + 3 = -30
-11x + 3 = -30 Subtract 3 from both sides -11x = -33 Divide both sides by -11 x = 3
The relationship between the number of cups of flour for cups of sugar in a cookie recipe is shown below.
f = 3s
How many cups of sugar are needed for 1 cup of flour?
1/3 cup of sugar
Arianna is packing for vacation. She has a red, blue, and black top, jeans and shorts, a rain jacket and a jean jacket. What is the sample space of the combinations of outfits she can wear? How many different combinations can she make?
Red top, jeans, rain jacket; Red top, shorts, rain jacket; Red top, jeans, jean jacket; Red top, shorts, jean jacket
Blue top, jeans, rain jacket; Blue top, shorts, rain jacket; Blue top, jeans, jean jacket; Blue top, shorts, jean jacket
Black top, jeans, rain jacket; Black top, shorts, rain jacket; Black top, jeans, jean jacket; Black top, shorts, jean jacket
12 combinations
A circle has a radius of 5 cm. What is its circumference? Rounded to nearest tenth.
31.42 cm
(3/5)(-4/9) = ?
-12/45 = -4/15
Solve the following inequality for the variable:
x/(-2) - 4 > 8
x < -24
Savannah has a coupon for 25% at DSW. She pays $25.50 for a pair of shoes.
What was the original cost of the shoes?
$34.00
Three coins are flipped. What is the probability of landing on heads twice and tails once if order doesn't matter? (draw a tree diagram)
3/8
A circle has an area of 628 square millimeters. If we use 3.14 for pi, what is the radius of the circle?
628 = 3.14*r*r
628/3.14 = r*r
200 = r*r
r = 14.14 mm or Square root of 200
-2/12 รท (-8/3) =
6/96 = 1/16
A 7th grader is taking his crush to the movies. He has $40 to spend. They go to the movies in the afternoon, when the tickets are only $8 each. He really wants to buy some snacks, too, which are on special for $5 each. Set up an inequality to depict this scenario, and then explain how many possible snacks he could buy.
2*8 + 5x < 40 (Note: < means less than or equal to) 1. Subtract 16 from both sides: 5x < 24 2. Divide both sides by 5: x < 4 remainder 4 So, he can buy UP TO 4 snacks.
Write an equation to represent the proportional relationship when x=15, y=3
y = 1/5x
Chandler and Ross are playing cards. What is the probability that Chandler will get a 5 (and keep it) AND THEN Ross will get an 8?
4/52 * 4/51 = 16/2652
1/13*4/51 = 4/663
Two angles are supplementary. One of them measures 30 degrees. The other measures (2x+20) degrees. Find x.
x = 65 degrees