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Janaisa Harris, BA-Mathematics |
Mathematics Expert
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Ms. Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher. She is now broadening her educational impact by engaging in curriculum mapping for her county. This endeavor enriches her understanding of educational strategies and their implementation. With a strong commitment to quality education, she actively participates in the review process of educational quizzes, ensuring accuracy and relevance to the curriculum.
, BA-Mathematics
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Harven
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Quizzes Created: 3 | Total Attempts: 55,013
Questions: 19 | Viewed: 53,195

1.

Evaluate for x = 11   x + 4

Explanation:
To evaluate the expression x+4 for x=11:
x+4=11+4=15
So, the value of the expression when x=11 is 15.
2.

Evaluate for n = 0: 2 (4 + n) - 5

Explanation:
To evaluate the expression 2(4+n)−5 for n=0:
Substitute n=0 into the expression: 2(4+0)−5
Simplify inside the parentheses: 2(4)−5
Multiply: 8−5
Subtract: 3
So, the value of the expression when n=0 is 3.
3.

Evaluate for x = 8 and y = 10: 3x + 2y

Explanation:
Substitute x=8 and y=10 into the expression: 3(8)+2(10)
Perform the multiplications:
3×8=24
2×10=20
So, the value of the expression when x=8 and y=10 is 44.
4.

Write an algebraic expression for 77 more than the product of 2 and u

Explanation:
o write an algebraic expression for "77 more than the product of 2 and u":
Add 77 to this product: 2u+77.
So, the algebraic expression is 2u+77.
5.

Determine the result of the expression: | -10 - (|4| + 1) |

Explanation:
Let's break down the expression step by step:
Absolute Value of 4: The absolute value of 4 is simply 4 because the absolute value of a positive number is the number itself.
Absolute Value of -10: The absolute value of -10 is 10 because it's the positive distance from zero to -10 on the number line.
Now, we have the expression: | -10 - (|4| + 1) |
Inside the innermost parentheses, we calculate |4| + 1, which is 4 + 1 = 5.
Then, we have -10 - 5 inside the outer parentheses, which is -15.
Finally, we take the absolute value of -15, which is 15.
So, the absolute value of -10 minus the absolute value of 4 plus 1 is indeed 15.
6.

Which is bigger? -14 or 0

Explanation:
In the given question, we are comparing -14 with 0.  0 is bigger than any negative number. Thus, -14 is less than 0 and the correct answer is A.
7.

What is: 6 + (-4)

Explanation:
To calculate 6+(−4):
6+(−4)= 6 − 4=2
So, the result is 2.
8.

Evaluate for m = -5: m + 7

Explanation:
To evaluate the expression m+7 for m=−5:
Substitute m=−5 into the expression: −5+7
So, the value of the expression when m=−5 is 2
9.

What is: 8 - (-4)

Explanation:
To calculate 8−(−4):
Subtract -4 from it.
8−(−4)= 8 + 4=12
So, the result is 12.
10.

Evaluate for m = -8: 9 - m

Explanation:
To evaluate the expression 9-m for m=−58
Substitute m=−8 into the expression: 9 - (-8)
So, the value of the expression when m=−8 is 17
11.

What is: -7 (-4) (3)

Explanation:
To evaluate the expression −7×(−4)×3:
Multiply −7 by −4: −7×(−4)=28
Multiply the result by 3: 28×3=84
So, the value of the expression −7×(−4)×3 is 84.
12.

What is: [-3 (4) (2)]/-8

Explanation:
To evaluate the expression [-3 x 4 x 2]/-8
Multiply −3 by 4: −3×4=−12
Multiply the result by 2: −12×2=−24
Divide the result by −8:
−24/−8 = 3
So, the value of the expression [-3 x 4 x 2]/-8 is 3.
13.

Is x equal to 10, 12, or 25?: x + 6 = 18

Explanation:
To determine if x is equal to 10, 12, or 25 for the equation x+6=18:
Subtract 6 from both sides to solve for x: x=18−6 x=12
So, x is equal to 12.
14.

Solve. 1785 = t - (-836)

Explanation:
To solve the equation 1785=t−(−836):
Rewrite the equation to simplify the double negative: 1785=t+836
Subtract 836 from both sides to solve for t: 1785−836=t
Perform the subtraction: 949=t
So, t=949.
15.

Solve. -7x = 105

Explanation:
To solve the equation -7x=105
Divide both sides of the equation by −7 to solve for x:
-7x/7=105/7
Perform the division
x=-105/7
x=-15
So, the solution to the equation −7x=105 is x=−15.
16.

Translate: The quotient of a number t and 7, plus 2, is -4.

Answer: T/7 + 2 = -4.
Explanation:
To translate the given statement "The quotient of a number t and 7, plus 2, is -4," we need to find the correct algebraic expression that matches this description.
The statement can be broken down as follows:
"The quotient of a number 𝑡t and 7" means t/7
"plus 2" means we add 2 to the quotient.
"is -4" means the expression equals -4.

Putting it all together, we get:
t/7+2=-4
17.

Write as a fraction. Simplify!: 0.4

Explanation:
To write 0.40.4 as a fraction and simplify it:
Write 0.4 as a fraction:
0.4=4/10
Simplify the fraction by finding the greatest common divisor (GCD) of 4 and 10, which is 2:
4÷2/10÷2=2/5
So, 0.4 as a simplified fraction is 2/5
18.

Write as a fraction. Simplify!: 0.55555...

Explanation:
To express the repeating decimal 0.55555... as a fraction and simplify it, we can set up the following equation:
x = 0.55555...
Now, we'll subtract this repeating decimal from 10x, which should eliminate the repeating part:
10x - x = 5.55555... - 0.55555...
9x = 5
Now, divide both sides by 9 to solve for x:
x = 5/9
So, the repeating decimal 0.55555... is equal to the fraction 5/9.
19.

Which is greater?: -3/7 or -0.375

Explanation:
To determine which is greater, −3/7 or -0.375 we need to compare the two values. We can convert -3/7 to a decimal for an easier comparison.

Convert -3/7 to a decimal

-3/7 ≈ 0.4286
Compare the two decimals:
−0.4286 (approximate value of −3/7​)
−0.375
Since −0.4286 is less than −0.375, −0.375 is greater.
Therefore, −0.375 is greater than −3/7

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