Question

1.Let x = 6.

What is the value of the expression 5x2+x−7 ? the x is x/2

Enter your answer in the box.


2.Which values from the specified set make up the solution set of the inequality?

4n<16 ; {1,2,3,4}

Select each correct answer.

3.Let m = 3.



Enter > , < , or = to compare the expressions.



4m−1______5m−4

4.Diana writes this inequality:



15>w


4.
Is the given value of w a solution to the inequality?



Select Yes or No for each value.

Solution? Yes No
w = 15
w = 21
w = 14

5.Which value in the replacement set is a solution to this equation?

2n + 5 = 27

Replacement set: {11, 12, 13}



Drag the solution into the box.





options 11,12,13


6.
Which situation can be represented by the inequality?

x<3


The ceiling is lower than 3 m.

The movie is longer than 3 h.

The child is 3 years old.

The backpack is heavier than 3 kg.


7.
Solve for g.

5.1g = 35.7



Enter your answer in the box.

g =


8.Solve for c.

36+c=54

Enter your answer in the box.

c =


9.Cassandra works at a bookstore. Yesterday, she sold 18 hardcover books. The rest of the books she sold were paperback books. She sold a total of 41 books. How many paperback books did she sell?

Use the variable p to represent the number of paperback books Cassandra sold yesterday.

Which equation represents this situation and its solution?


p + 18 = 41; p = 23

p + 41 = 18; p = 23

41p = 18; p = 23

18p = 41; p = 23


10.The table show the total distance d, in kilometers, a truck traveled after t hours.

Time in hours (t) Distance in kilometers (d)
0 0
1 100
2 200
3 300


Which equation shows the relationship between d and t?


d=t+300

d=t+100

d=100t

d=300t

Answer 1

Answer:

1: 6

2: 1,2,3

3: 4m-1>5m-4

4: Not enough data

5: n = 11

6: The ceiling is lower than 3m

7: G = 7

8: C = 18

9: p + 18 = 41; p = 23

10: D = 100t

Step-by-step explanation:

Question 1:

5*2+x/2-7

5*2+6/2-7

10+6/2-7

10+3-7

13-7

6

Question 2:

4*2<16

8<16 True

4*1<16

4<16 True

4*3<16

12<16 True

4*4<16

16<16 False

Question 3:

Let's plug in 1 for m

4*1-1____5*1-4

4-1_____5-4

3_____1

3>1

Question 4:

You did not give an equation, so I cannot answer.

Question 5:

2*11 + 5 =27

22 + 5 = 27

27 = 27

So n = 11

Question 6:

x<3

The ceiling is lower than 3m because x<3

Question 7:

5.1g = 35.7

5.1g/5.1=35.7/5.1

g = 7

Check: 5.1 * 7 = 35.7

Question 8:

36 + c = 54

36 + c -36 = 54 - 36

c = 18

Check: 36 + 18 = 54

Question 9:

p + 18 = 41; p = 23 is correct because the number of paperback books plus the number of hardcover books would equal the total number of books sold. Check: 23 + 18 = 41

Question 10:

d=100t is correct because each time t goes up one it goes up 100. Example: if it is at one hour, than it is 100, if it is at 3 hours, than d = 100*3 = 300, which is the same pattern as the table.

Hope this helps!