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Questions: 19|Viewed: 52,481|Updated: May 27, 2024
1.
Evaluate for x = 11x + 4
Answer:15
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
Answer:3
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
Answer:44
Explanation:
Substitute x=8 and y=10 into the expression: 3(8)+2(10)
Perform the multiplications:
3×8=24
2×10=20
Add the results: 24+20=44
So, the value of the expression when x=8 and y=10 is 44.
4.
Write an algebraic expression for77 more than the product of 2 and u
Answer:2u+77
Explanation:
o write an algebraic expression for "77 more than the product of 2 and u":
Start with the product of 2 and u: 2u.
Add 77 to this product: 2u+77.
So, the algebraic expression is 2u+77.
5.
Determine the result of the expression: | -10 - (|4| + 1) |
Answer:15
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
Answer:-14 < 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)
Answer:2
Explanation:
To calculate 6+(−4):
Start with the number 6.
Add -4 to it.
6+(−4)= 6 − 4=2
So, the result is 2.
8.
Evaluate for m = -5: m + 7
Answer:2
Explanation:
To evaluate the expression m+7 for m=−5:
Substitute m=−5 into the expression: −5+7
Perform the addition: −5+7=2
So, the value of the expression when m=−5 is 2
9.
What is: 8 - (-4)
Answer:12
Explanation:
To calculate 8−(−4):
Start with the number 8.
Subtract -4 from it.
8−(−4)= 8 + 4=12
So, the result is 12.
10.
Evaluate for m = -8: 9 - m
Answer:17
Explanation:
To evaluate the expression 9-m for m=−58
Substitute m=−8 into the expression: 9 - (-8)
Perform the addition: 9+8=17
So, the value of the expression when m=−8 is 17
11.
What is: -7 (-4) (3)
Answer:84
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
Answer:3
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 ofthe expression [-3 x 4 x 2]/-8 is 3.
13.
Is x equal to 10, 12, or 25?: x + 6 = 18
Answer:12
Explanation:
To determine if x is equal to 10, 12, or 25 for the equation x+6=18:
Start with 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)
Answer:949
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
Answer:-15
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
Answer:2/5.
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...
Answer:5/9
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
Answer:-3/7 < -0.375
Explanation:
To determine which is greater, −3/7 or -0.375we need to compare the two values. We can convert -3/7to 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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