Inequalities
Two of the lowest temperatures ever recorded in the United States are:
-79.8 F Camp Creek, Alaska
-69.7 F Rogers Pass, Alaska
Enter an inequality that compares these two temperatures.
-79.8 < -69.7
11 x z = 121
11
This table contains equivalent ratios between x and y
x y
2 8
3 12
5 ___
7 28
Enter the missing value
20
25% of ____ is 30
part whole
120
Select all the measurements that could represent volume.
10 ft3
20 3 /4 mm3
85.5 km3
300 cm2
10 ft3
20 3/4 mm3
85.5 km3
Consider the inequality 12<x
Determine whether each value of x makes the inequality true. Select yes or no for each value
-40 yes no
0 yes no
-5 yes no
13 yes no
21 yes no
-40 no
0 no
-5 no
13 yes
21 yes
Consider the equation showing the distributive property
84 + 93 = 3(28 + ___)
Enter the unknown value that would make the equation true.
31
A construction company is working on a road which is 1/4 mile long. The workers divide the road the road into 3 equal sections. Brent claims that each section of is 3/4 mile long. Is Brent's claim correct?
A: Yes. He added 3 to 1/4 to get 3/4
B: Yes. HE multiplied 3 by 1/4 to get 3/4
C: No. He should divide 1/4 by 3 to get 1/12
D: No. He should subtract 1/4 from 3 to get 2 3/4
C: No. He should divide 1/4 by 3 to get 1/12
20% of ____ is 40
part whole
200
At a store, 3 bags of peanuts were sold for $18.
Determine if each statement has the same unit rate as the original statement or a different unit rate.
A jar of jam sold at $25 for 5. Same or Different
Sandwiches sold at $20 for 3. Same or Different
Cups of fruit sold at $48 for 8. Same or Different
Ham sold at $12 for 2. Same or Different
(Original) $18 for 3 = 1 for $6
$25 for 5 = 1 for $5 DIFFERENT
$20 for 3 = 1 for $6.66 Different
$48 for 8 = 1 for $6 SAME
$12 for 2 = 1 for $6 Same
Consider the Inequality
x>9 3/4
Determine whether each value of x makes the inequality true.
-2 1/2 Yes no
15 3/4 Yes no
-10 1/4 Yes no
12 YEs no
8 1/2 Yes no
-2 1/2 no
15 3/4 yes
-10 1/4 no
12 Yes
8 1/2 no
Enter the value of
42 / (2 + 5) x 3
18
A bus can travel 194 miles in 4 hours. How many miles can the bus travel in 1 hour?
48.5 miles
Sebastian's lemonade recipe uses 4 cups of water and 1 cup of lemon concentrate. Enter the percentage of the lemonade recipe that is lemon concentrate.
1/4 = 25 %
Consider the data
2, 6, 13, 18, 13, 10, 8, 5, 12
Determine if each statement is true or false.
Changing the 5 to 14 will decrease the median t or f
Changing the 5 to 14 will not change the range t or f
Changing the 5 to a 14 will increase the mean t or f
Changing the 5 to 14 will decrease the median
FALSE
Changing the 5 to 14 will not change the range
FALSE
Changing the 5 to 14 will increase the mean
TRUE
Select all the sets of numbers that are possible values for x in the inequality, x<-3
(5, 7, 9)
(-9, -7, -5)
(-33, -22, -11)
(-5, 0, 5)
(-9, -7, -5)
and
(-33, -22, -11)
A classroom fish tank contains x goldfish. The tank contains 4 times as many guppies as goldfish.
Enter an equation that represents the total number of guppies, y, in the fish tank.
y = 4x
The ratio of cars to trucks in a parking lot is 8:3. Kelly states that there must be exactly 5 more cars than trucks in the parking lot.
Determine a number of cars and trucks in the parking lot to show Kelly's statement is false.
16 cars : 6 trucks
or
24 cars : 9 trucks
25% of 200 is _____
whole part
50
A toy factory designed a new container in the shape of a rectangular prism that is 20 centimeters tall with a base of 4 centimeters by 8 centimeters.
The edge of a toy in the shape of a cube measure 4 centimeters.
Enter the VOLUME in cubic centimeters, of the rectangular container.
On the second response, enter the number of toys that would fit into the new container.
1st answer = 640 centimeters3
2nd answer =640 / 4 = 160 toys
The total cost to enter an amusement park can be given by the expression 14c + 18a, where c is the number of children entering the park and a is the number of adults entering the park.
Which expression also represents the total cost for c children and a adults to enter the amusement park?
A: 1(4c + 8a)
B: 2(7c + 9a)
C: 7(2c + 18a)
D: 9(14c + 2a)
B: 2(7c + 9a)
Jill is making a cookie recipe that will require 4 cups of sugar for every 8 cups of flour. Jill only has 6 cups of flour. She concludes that she will only need 2 cups of sugar.
Is Jill correct? Why or why not?
A: Jill is correct. The number of cups of sugar must be reduced by 2 because the number of cups of flour is reduced by 2.
B: Jill is correct. Half the amount of sugar is needed because only half of the recipe will be made.
C: Jill is incorrect. She needs 3 cups of sugar because the ratio 3:6 is equivalent to 4:8.
D: Jill is incorrect. She needs 6 cups of sugar because decreasing the number of cups of flour by 2 requires increasing the number of cups of sugar by 2.
C: Jill is incorrect. She needs 3 cups of sugar because the ratio is 3:6 is equivalent to 4:8