# Algebra

Please check all of my answers and tell me if they are right.

1.   What is the simplified form of the following expression?

7m^2 + 6.5n – 4n + 2.5m^2 – n (1 point)

A. 9.5m^2 + 1.5n***

B. 4.5m^2 + 1.5n

C. 1.5m^2 – 4.2n

D. 9.5m^2 – 1.5n

2.   Simplify the following expression.

1/3(21m + 27)

A. 7m + 27

B. 7m + 9***

C. 63m + 9

D. 7m + 81

3.   What is the sum?

7/4 + (- 1/5)

A. 31/20***

B. 39/20

C. 6/9

D. - 7/20

4.   Which property is illustrated by the following statement?

2x(6) = (6)2x

B. Commutative Property of Multiplication***

C. Inverse Property of Multiplication

5.   Which property is illustrated by the following statement?

3z + 4 = 4 + 3z

B. Commutative Property of Multiplication

C. Inverse Property of Multiplication

6.   Order the following numbers from least to greatest.

Square root 7, -0.3,(- 7/4),0.1, square root 3

A. 0.1, square root 3, (- 7/4), square root 7, -0.3

B. (- 7/4),-0.3,0.1, square root 3, square root 7

C. Square root 7, square root 3, 0.1, ( - 7/4) , 0.3 ***

D. -0.3, 0.1, square root 3, square root 7, (- 7/4)

7.   Which number sentence does the following number line represent?

-8
<-----------------------------|
-10 -8 -6 -4 -2 0 2 4 6 8 10

A. –2 + (–8) = –10

B. 2 + (–8) = 10***

C. 2 + (–8) = –10

D. 2 + (–8) = –6

8.   To which subset of real numbers does the following number belong?

Square root 6

A. rational numbers

B. irrational numbers***

C. whole numbers, integers, rational numbers

D. imaginary numbers

9.   Which sum or difference is equivalent to the following expression?

3x -2 /9

A. 1/3 x - 2/9***

B. 2/9 x - 1/3

C. 1/9 x

D. 2/9

10.   What is the algebraic expression for the following word phrase: the sum of 6 and n ?  (1 point)

A. 6 - n

B. 6 + n***

C. n – 6

D. n/6

11.   What is the algebraic expression for the following word phrase: the quotient of 8 and the difference of x and m?

A. 8/ x-m***

B. 8 - x/m

C. x - m / 8

D. 8 - x / m

12.   What is the algebraic expression for the following word phrase: the quotient of x and 6y?

A. x/6

B. x/6y***

C. 6xy

D. x - 6y

13.   What is the difference?

9/5 - 1/6

A. 49/30

B. - 8/1

C. 59/30***

D. - 1/8

14.   What is the simplified form of the following expression?

square root 1/121

A. 2/121

B. 1/242

C. 11

D. 1/11***

15.   Which property is illustrated by the following statement?

(7p)mn = 7p(mn)

A. Commutative Property of Multiplication

B. Associative Property of Multiplication***

C. Inverse Property of Multiplication

16. Evaluate u/z + xy^2 for u = 20, x = 4, y = 7 and z = 10

A. 786

B. 198***

C. 294

D. 900

17.   What is the product?

4.7(–5.2)

24.44

–24.44***

12.22

–13.52

18.   What is the simplified form of the following expression?

(4/7)^3

A. 343/64

B. 21,952

C. 407***

D. 64/343

19.   Which word phrase can you use to represent the algebraic expression 3m?  (1 point)

A. the sum of 3 and a number m

B. the difference of 3 and a number m

C. the product of 3 and a number m***

D. the quotient of 3 and a number m

20.   Using the formula , r = d/t where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you travel to cover 337.5 miles in 4.5 hours?

A. 55 mph

B. 65 mph

C. 75 mph***

D. 85 mph

21.   What is the simplified form of the following expression?

-(8n - 5v)

A. -8n + 5

B. 8n + 5v***

C. 8n - 5v

D. -8n - 5v

22.   What is the simplified form of the following expression?

12[6^2 ÷ (5^2 – 4^2) + 7]

A. 12.6

B. 195

C. 33.8***

D. 132

23.   What is the simplified form of the following expression?

4sg/-5g

A. - 4/5 s

B. 4/g g***

C. - 5/4 s

D. - 5/4 g

24.   In a football game, a running back ran for –7 and –5 yards on his last two runs. His total yardage for the whole game is 78 yards. Which expression shows how many yards the running back had before those two runs?

A. 78 – 5 – 7

B. 78 – 5 + 7

C. 78 + 5 – 7

D. 78 + 5 + 7***

25.   What is the value of x/yz if x = -2, y= -3, and z = -4

A. 6

B. -6

C. 1/6***

D. - 1/6

28.   Which statement about the product is true?

4.56 x 4.3

A. The product is rational.

B. The product is irrational.

C. The product is neither rational nor irrational.***

D. The nature of the product cannot be determined.

29.   Which of the following results in a sum or a product that is rational? Choose all that apply.  (3 points)

A. 4 + 9

B. pie symbol with line through it x 5

__
C. 3.45 x 1.2***

D. Square root 16 x square root 4

E. Square root 7 x square root 2

30. Molli purchased 7 apples for \$3.96. While looking at her receipt, Molli divided \$3.96 by 7. Why might Molli perform this calculation?

A. in order to find the total number of apples purchased

B. in order to calculate the total amount that she owes

C. in order to calculate how much money she has left

D. in order to find out how much she paid per apple***

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