7th CRCT Review 4-13-12
Adding, Subtracting, Multiplying, and Dividing Integers Writing and Simplifying Algebraic Expressions
Questions and Answers
- 1.
-4 + 9=
- A.
13
- B.
-13
- C.
5
- D.
-5
Correct Answer
C. 5Explanation
The given equation is -4 + 9. When we add -4 and 9, we get the result 5. Therefore, the correct answer is 5.Rate this question:
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- 2.
-12 - (-6) =
- A.
18
- B.
6
- C.
-6
- D.
-18
Correct Answer
C. -6Explanation
The given expression is a subtraction problem where we have -12 minus -6. When subtracting a negative number, it is equivalent to adding its positive counterpart. Therefore, -12 minus -6 can be rewritten as -12 + 6. Adding -12 and 6 gives us -6 as the answer.Rate this question:
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- 3.
-2.9 - 4.5 =
- A.
7.4
- B.
1.6
- C.
-1.6
- D.
-7.4
Correct Answer
D. -7.4Explanation
The given question asks for the result of subtracting -4.5 from -2.9. When subtracting a negative number, it is equivalent to adding the positive value of that number. Therefore, subtracting -4.5 is the same as adding 4.5. Thus, -2.9 + 4.5 equals -7.4.Rate this question:
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- 4.
-15 - (-11)=
- A.
-29
- B.
-4
- C.
4
- D.
29
Correct Answer
B. -4Explanation
The given expression is a subtraction problem where we have to subtract a negative number from another negative number. When we subtract a negative number, it is equivalent to adding its positive value. So, -15 - (-11) can be rewritten as -15 + 11. This gives us -4 as the result.Rate this question:
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- 5.
A scuba diver is 24 feet below sea level. A parasail glider is 59 feet above sea level. How far above the scuba diver is the parasail glider?
- A.
93 feet
- B.
83 feet
- C.
73 feet
- D.
35 feet
Correct Answer
B. 83 feetExplanation
The parasail glider is 59 feet above sea level and the scuba diver is 24 feet below sea level. To find how far above the scuba diver the parasail glider is, we need to add the two distances together. 59 + 24 = 83. Therefore, the parasail glider is 83 feet above the scuba diver.Rate this question:
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- 6.
Bob started the day with a score of -4. He gained 3 points, lost 4 points, and then gained 6 points. What was his score then?
- A.
+9
- B.
+6
- C.
+1
- D.
-1
Correct Answer
C. +1Explanation
Bob started with a score of -4. He gained 3 points, which brings his score to -4 + 3 = -1. He then lost 4 points, which means his score is now -1 - 4 = -5. Finally, he gained 6 points, which brings his score to -5 + 6 = +1.Rate this question:
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- 7.
Find the value of the expression -16.1 + 3.8 - (-12.24).
Correct Answer
0.06
.06Explanation
The expression -16.1 + 3.8 - (-12.24) can be simplified by first removing the double negative sign in front of -12.24, which becomes +12.24. Then, we can combine the terms by adding -16.1 and 3.8, which gives us -12.3. Finally, we subtract 12.24 from -12.3, resulting in -24.54. However, none of the given answer options match this value, so the correct answer is not available.Rate this question:
- 8.
Which expression represents the phrase below? 83 less than a number n
- A.
83 - n
- B.
N - 83
- C.
83/n
- D.
N/83
Correct Answer
B. N - 83Explanation
The phrase "83 less than a number n" implies that we are subtracting 83 from the number n. Therefore, the expression that represents this phrase is n - 83.Rate this question:
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- 9.
The Hamied family stayed at a hotel for n nights. The cost was $80 per night plus a one-time fee of $20 because they brought their dog. Which expression represents the total cost of their hotel stay?
- A.
80n + 20n
- B.
80n + 20
- C.
80 + 20n
- D.
80 + 20 + n
Correct Answer
B. 80n + 20Explanation
The expression 80n + 20 represents the total cost of the Hamied family's hotel stay. The variable n represents the number of nights they stayed at the hotel. Since the cost per night is $80, multiplying it by the number of nights (80n) gives the cost of the nights. Additionally, there is a one-time fee of $20 because they brought their dog, which is represented by the constant term 20. By adding these two terms together, we get the total cost of their hotel stay.Rate this question:
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- 10.
Translate the words into an algebraic expression. 2 less than the product of 7 and a number n.
- A.
2n + 7
- B.
14 + n
- C.
12n
- D.
7n - 2
Correct Answer
D. 7n - 2Explanation
The given statement says "2 less than the product of 7 and a number n." This can be translated into the algebraic expression "7n - 2," where n represents the unknown number. The expression represents multiplying 7 and n, and then subtracting 2 from the result.Rate this question:
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- 11.
Which of the following shows the expression below in simplest form? 5m - 3m + 6m
- A.
-4m
- B.
8m
- C.
12m
- D.
2m + 6m
Correct Answer
B. 8mExplanation
The expression 5m - 3m + 6m simplifies to 8m. The terms with the variable m are combined by adding or subtracting their coefficients. In this case, 5m - 3m + 6m simplifies to 8m, as the coefficients of m add up to 8.Rate this question:
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- 12.
Which is equivalent to the expression below? 4a + 5 - a + 2
- A.
10a
- B.
11a
- C.
3a + 7
- D.
4a + 7
Correct Answer
C. 3a + 7Explanation
The given expression is 4a + 5 - a + 2. To simplify this expression, we can combine like terms. The terms 4a and -a can be combined to give 3a. The terms 5 and 2 can be combined to give 7. Therefore, the equivalent expression is 3a + 7.Rate this question:
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- 13.
Which is equivalent to the expression below? 6(2k - 3)
- A.
8k - 3
- B.
9k
- C.
12k - 3
- D.
12k - 18
Correct Answer
D. 12k - 18Explanation
The given expression is 6(2k - 3). Distributing the 6 to both terms inside the parentheses, we get 12k - 18. Therefore, the expression 12k - 18 is equivalent to 6(2k - 3).Rate this question:
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- 14.
What is the value of the expression below when c = 4? 4c + 3c - 2c
- A.
40
- B.
36
- C.
28
- D.
20
Correct Answer
D. 20Explanation
When c = 4, the expression becomes 4(4) + 3(4) - 2(4), which simplifies to 16 + 12 - 8. Combining like terms, we get 20.Rate this question:
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- 15.
What is the sum? 5k + 4 + (6 - 2m)
- A.
5k -2m + 10
- B.
3k + m + 10
- C.
5k + 2m + 10
- D.
10k + 3m
Correct Answer
A. 5k -2m + 10Explanation
The given expression is 5k + 4 + (6 - 2m). Simplifying the expression, we get 5k - 2m + 10. Therefore, the correct answer is 5k - 2m + 10.Rate this question:
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- 16.
What is the difference? 5r + 3 - (1 + 6r)
- A.
-11r + 2
- B.
-2r + 2
- C.
-r + 2
- D.
11r + 2
Correct Answer
C. -r + 2Explanation
The given expression is 5r + 3 - (1 + 6r). To simplify this expression, we can distribute the negative sign inside the parentheses, which gives us 5r + 3 - 1 - 6r. Combining like terms, we have -r + 2. Therefore, the correct answer is -r + 2.Rate this question:
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- 17.
Lou had r rocks in his collection. He separated his rock into 3 equal piles. He now has 12 rocks in each pile. Which equation represents the situation?
- A.
R - 3 = 12
- B.
R/3 = 12
- C.
R + 3 = 12
- D.
R x 3 = 12
Correct Answer
B. R/3 = 12Explanation
Lou had r rocks in his collection and he separated them into 3 equal piles. This means that each pile has the same number of rocks. If he now has 12 rocks in each pile, this can be represented by the equation r/3 = 12.Rate this question:
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Nov 17, 2023Quiz Edited by
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Apr 11, 2012Quiz Created by
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