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31. If the sum of two numbers is 11 and its product is 28 what are the numbers? A5 and 6 B. 19 and 9 C. 4 and 7 D. 10 and 1

32. Which of the algebraic expressions below refers to the product of the sum and difference of two terms? A. (x + 3)² B. x3 + 4x + 1 C.x² - 9 D. (x + 2)

33. If A = 2x + 3, B = x + 1 and C = 7x +4, What is the sum of A,B and C ? A. 10x + 8 B. 7x + 2 C. 9x + 8 D. 10x + 10

34. What is the sum of 10a and 5? A. 15a B. 10a + 5 C. 50a D. 5a

35. Which of the following is the area of the rectangular lot whose length is 5 and whose width is(x + 1)? A 5x + 5 B. 2x2 + 5 C. 5x + 1 D. 3

36. Which of the following is the simplified form of (32)(2)? A 66 B. 72 C. 36 D. 144

37. Which of the following is an example of algebraic phrase? A 3x + 5 = 3 B. 4x + 7 C. 5x + 3 = 9 D. 12x + 8 =7

38. Which of the following is an algebraic equation? A3x + 4 = 9 B. 5x + 7 C. 8x + 3>6 D. 10x +8

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Answer:

31. If the sum of two numbers is 11 and its product is 28 what are the numbers?

A. 5 and 6

B. 19 and 9

C. 4 and 7

D. 10 and 1

We will have two formulas, for sum and product.

11 = 1 + 10, 2 + 9, 3 + 8, 4 + 7, 5 + 6

28 = 1 x 28, 2 x 14, 4 x 7

Let's test first for addition.

4 + 7 = 11 ✔

And then, for multiplication.

4 x 7 = 28 ✔

Therefore, the numbers are 4 and 7.

32. Which of the algebraic expressions below refers to the product of the sum and difference of two terms?

A. (x + 3)²

B. x3 + 4x + 1

C.x² - 9

D. (x + 2)

Explanation:

I choose C because it is the final product of the "Product of the sum and difference of two terms".

33. If A = 2x + 3, B = x + 1 and C = 7x +4, What is the sum of A,B and C ?

A. 10x + 8

B. 7x + 2

C. 9x + 8

D. 10x + 10

Solution:

Using addition, add their like terms.

(2x + 3) + (x + 1) + (7x + 4)

(2x + x + 7x) + (3 + 1 + 4)

= 10x + 8

34. What is the sum of 10a and 5?

A. 15a

B. 10a + 5

C. 50a

D. 5a

Solution:

Using addition, add the like terms.

10a + 5 can no longer be added because it is simplified already.

35. Which of the following is the area of the rectangular lot whose length is 5 and whose width is(x + 1)?

A. 5x + 5

B. 2x2 + 5

C. 5x + 1

D. 3

Using substitution:

A = wl

A = (x + 1) 5

A = 5x + 5

36. Which of the following is the simplified form of (32)(2)?

A. 66

B. 72

C. 36

D. 144

Explanation:

None of the following choices, because if you multiply 32 and 2, the answer will be 64.

37. Which of the following is an example of algebraic phrase?

A. 3x + 5 = 3

B. 4x + 7

C. 5x + 3 = 9

D. 12x + 8 =7

Explanation:

It is also called algebraic expression.

38. Which of the following is an algebraic equation?

A. 3x + 4 = 9

B. 5x + 7

C. 8x + 3 > 6

D. 10x +8

Explanation:

Algebraic equation are a set of numbers and letters with the use of different operations and also equal sign.

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