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.
