Mathematics, 15.12.2021 06:10 Astudent333

What I Know Choose the letter of the best answer. Write the chosen letter on a separate sheet of
paper.
1. Which of the following below are like terms?
A. 2x, 3x, 4x, 5x
B. −4a, −3a, −2a, ab
C. 3x, x
2
, x
3
, x
4
D. xy, 3xy, 5y, 4z
2. Which of the following would result to a sum of 5ab?
A. 2a + 3b
B. 4a + b
C. 2ab + 3ab
D. 3a + 2b
3. What is the simplified term of 3x + x – 2x + 5x?
A. 6x
B. 7x
C. 8x
D. 9x
4. What must be subtracted from 8a + 3 to make a difference of 5a + 1?
A. 3a + 2
B. 3a – 2
C. 3a + 4
D. 3a – 4
5. Mark saved 15x + 8 from his allowance. How much did he have after buying
a gift worth 10x + 3 for his mother’s birthday?
A. 5x − 5
B. 5x + 5
C. 5x − 11
D. 5x + 11
6. Which of the following illustrates the law a

n = a ∙ a ∙ a ∙ a ... ∙ a (n times)?

A. x
5 = x ∙ x ∙ x ∙ x ∙ x
B. 2
3 = 3 ∙ 3
C. 3
4 = 3 ∙ 4
D. x
5 = x ∙ 5

7. Which of the following statements illustrates the law: a
n
∙ a
m = a
n+m?

A. 2
3
∙ 3
4 = 6
7
B. 3
3
∙ 2
5 = 6
15

C. 2
3
∙ 2
4 = 2
12

D. 3
2
∙ 3
4 = 3
6
8. hich of the following is true?
A. 5
2 + 5
3 = 5
5

B. 2
2
2
3 =
1
2
C. (3
2
)
9 = 9
18
D. (4
3)
2 = 4
5

CO_Q2_Mathematics 7_Module 5

3

9. Divide (4x

2 − 24x + 35) ÷ (2x − 5).
A. 2x – 7
B. 2x + 12
C. 2x – 12
D. 2x + 7
10.The length of the rectangle is 2x – 3 and its width is equal to x – 1. Find the
area of the rectangle.
A. x – 2
B. 3x – 4
C. 2x2 – x – 3
D. 2x2 – 5x + 3
11.Which of the following is the result when (3a
2b
3
) is multiplied to (4a
3b
2
)?

A. 7a
5b
5
B. 7a
6b
6
C. 12a
6b
6
D. 12a
5b
5

12.Which of the following describes the product of (b + 5)(b + 5)?
A. a monomial
B. a binomial
C. a trinomial
D. a multinomial
13.Which of the following is the result when (x + 7) is multiplied to (x + 4)?
A. x
2 + 11x + 28
B. x
2 + 28x + 11
C. x
2 + 7x + 28
D. x
2 + 8x + 28

14.Divide 12x
3y
4 + 9x
2y
3 − 3x
5y
2 by 3x
2y.

A. 6x
2y
4
B. 6xy3 + y
2 − x
3y

C. 3x
4 + 2y
4
D. 4xy3 + 3y
2 − x
3y
15.The product of 4x
2y
5 and a certain monomial is 28x
7y
9
z
2
. What is the

missing factor?
A. 7x
5y
4
B. 7x
9y
14z
2
C. 7x
5y
2
z
2
D. 7x
5y
4
z
2

Answers: 1

Show answers

Answers

Answer from: Quest

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17 {equation 1}

xy = -24 {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6 or y = (-17-1)/6

y = -16/6 or y = -18/6

y = -2 2/3 or y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation:

Answer from: Quest

180°

step-by-step explanation:

sum of equilateral triangle=180°

< n=60°

< m=120°°[angle supplementary of equilateral angle]

< m+< r+< x=360°(sum of exterior angle of triangle)

Suppose you are a designer making the traffic sign below. 1. what is the sum of the interior angles

Answer from: Quest

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.

Answer from: Quest

Hey there, 128 *(2/3) = 85.3

85.3-64 = 21.3

so laura has already added 85.3 grams of chocolate powder and she has gone over the amount specified in the recipe by 21.3 grams

hope i ! have a great day!

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