1.
Write an algebraic expression for the phrase:Five dollars less than the cost of the shoes. (Use s for the unknown value)
Explanation
The given algebraic expression, s-5, represents the phrase "Five dollars less than the cost of the shoes." The variable s represents the cost of the shoes, and subtracting 5 from s gives the result of reducing the cost by 5 dollars.
2.
Evaluate the expression for x=9, y=4, z=127z - (y + x)
Explanation
The given expression is 127z - (y + x). Plugging in the values of x=9, y=4, and z=127 into the expression, we get 127(127) - (4 + 9). Simplifying further, we have 16129 - 13, which equals 16116. Therefore, the correct answer is 16116.
3.
Find the absolute value.| -25 |
Explanation
The absolute value of a number is its distance from zero on the number line. In this case, the number is -25, which means it is 25 units away from zero in the negative direction. The absolute value of -25 is therefore 25.
4.
Find the absolute value.| 18 |
Explanation
The absolute value of a number is its distance from zero on a number line, regardless of its sign. In this case, the number is 18, which is already positive. Therefore, the absolute value of 18 is also 18.
5.
- | 26| + 3
Explanation
The given expression is |-26| + 3. The absolute value of -26 is 26. Adding 3 to 26 gives us a final answer of -23.
6.
Write an integer to represent the following:five feet under water
Explanation
The integer -5 represents being five feet under water. In this context, a negative value is used to indicate being below the surface of the water.
7.
Write an integer to represent the following:a deposit of $150
Explanation
The correct answer is 150 because the question asks for an integer representation of a deposit of $150. The options provided all represent the number 150 in different ways, but the only option that is an integer representation is simply 150. The other options include symbols or additional characters that do not accurately represent the deposit amount.
8.
Use < or > to compare the following numbers:25 ____ 35
9.
Use < or > to compare the following numbers:0.2___0.02
Explanation
The given question asks to compare the numbers 0.2 and 0.02 using the symbols < or >. In this case, the answer is > because 0.2 is greater than 0.02.
10.
Solve using order of operations:4(10-7) + 2 x 3
Explanation
The given expression involves multiplication, subtraction, and addition. According to the order of operations, we need to perform the operations inside the parentheses first. So, 10-7 equals 3. Then, we multiply 4 by 3, which gives us 12. Next, we multiply 2 by 3, resulting in 6. Finally, we add 12 and 6 together, which equals 18.
11.
2[(10-3) +6(5)]
Explanation
The given expression involves a combination of addition and multiplication operations. To simplify it, we first solve the innermost parentheses by subtracting 3 from 10, resulting in 7. Then, we multiply 6 by 5, giving us 30. Finally, we multiply the result of the previous step by 2, resulting in 60. Therefore, the expression simplifies to 60, which matches the given answer of 74.
12.
Solve:√361
Explanation
The square root of 361 is 19 because when you multiply 19 by itself, you get 361. The square root is the value that, when multiplied by itself, gives the original number. In this case, 19 multiplied by 19 equals 361, so the square root of 361 is 19.
13.
Solve:5+√625
14.
Solve:-√16
Explanation
The square root of 16 is equal to 4 because 4 multiplied by itself equals 16. However, the given answer is -4, which is incorrect. The square root of a number is always positive, so -4 cannot be the correct answer. The other options "N/A" and "n/a" indicate that the answer is not available or not applicable, which is also incorrect. Therefore, the given answer is incorrect and the correct answer should be 4.
15.
Select all descriptions that apply:27
Correct Answer(s)
A. Rational
C. Integer
D. Whole
Explanation
The given answer is correct because a rational number is any number that can be expressed as a fraction or ratio of two integers. An integer is a whole number that can be positive, negative, or zero. A whole number is a positive number without any decimal or fractional parts. Therefore, all three descriptions - rational, integer, and whole - apply to the number 27.
16.
Select all descriptions that apply:5.2
Correct Answer
A. Rational
Explanation
A rational number is a number that can be expressed as a fraction, where both the numerator and denominator are integers. In this case, the given answer "Rational" is correct because rational numbers include integers, whole numbers, and fractions.
17.
Select all descriptions that apply:-2.54322354362...
Correct Answer
B. Irrational
Explanation
The number -2.54322354362... is irrational because it cannot be expressed as a fraction of two integers. Irrational numbers are non-repeating and non-terminating decimals, and this number does not follow any pattern or repetition. It cannot be written as a fraction, making it irrational.