Write a verbal expression for each algebraic expression. 1. 9a2=9a2 2. 52=

3. c + 2d= 4. 4 – 5h=

5. 2b2= 6. 7x3 – 1=

7. p4 + 6r= 8. 3n2 – x=

Write an algebraic expression for each verbal expression.

9. the sum of a number and 10=

10. 15 less than k=

11. the product of 18 and q=

12. 6 more than twice m=

13. 8 increased by three times a number=

14. the difference of 17 and 5 times a number=

15. the product of 2 and the second power of y=

16. 9 less than g to the fourth power=

1. a squared multiplied by nine.

2. Five squared.

3. c plus two times d

4. Four minus 5 times h

5. Two times b squared.

6. Seven times x cubed minus 1

7. p raised to the fourth power plus 6 times r

8. Three times n squared minus x

Step-by-step explanation:

Here is the complete question

Write a verbal expression for each algebraic expression.

1. 9a²

2. 5²

3. c + 2d

4. 4 - 5h

5. 2b²

6. 7x³ - 1

7. p⁴ + 6r

8. 3n² - x

Solution

1. The term a is squared then multiplied by 9. So, we have "a squared multiplied by nine."

2. Since we have figure 5, and it is raised to the power 2, we have "Five squared."

3. We have the first term as letter c and the second term as 2 times letter d, we have "c plus 2 times d"

4. We have the first term as figure 4 and subtract 5 times h which is the second term from it, we have "Four minus 5 times h".

5. We have the letter b raised to the power of 2 as b squared. It is then multiplied by 2. So, we have, "Two times b squared."

6.  We have the first term as letter x raised to the power of  3 which is "x cubed". This is then multiplied by 7. We then subtract 1 from it as the second term to give the expression, "Seven times x cubed minus 1"

7. The first term is p raised to the fourth power and the second term is 6 times letter r. So, the expression is "p raised to the fourth power plus 6 times r".

8. The first term is n squared multiplied by 3. We then subtract the second term x from it. The expression is thus, "Three times n squared minus x".

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer