7th CRCT Review 4-13-12

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| By AKBailey
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Adding, Subtracting, Multiplying, and Dividing Integers Writing and Simplifying Algebraic Expressions

• 1.

-4 + 9=

• A.

13

• B.

-13

• C.

5

• D.

-5

C. 5
Explanation
The given equation is -4 + 9. When we add -4 and 9, we get the result 5. Therefore, the correct answer is 5.

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• 2.

-12 - (-6) =

• A.

18

• B.

6

• C.

-6

• D.

-18

C. -6
Explanation
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.

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• 3.

-2.9 - 4.5 =

• A.

7.4

• B.

1.6

• C.

-1.6

• D.

-7.4

D. -7.4
Explanation
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.

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• 4.

-15 - (-11)=

• A.

-29

• B.

-4

• C.

4

• D.

29

B. -4
Explanation
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.

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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

B. 83 feet
Explanation
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.

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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

C. +1
Explanation
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.

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• 7.

Find the value of the expression -16.1 + 3.8 - (-12.24).

0.06
.06
Explanation
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.

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• 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

B. N - 83
Explanation
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.

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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

B. 80n + 20
Explanation
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.

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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

D. 7n - 2
Explanation
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.

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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

B. 8m
Explanation
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.

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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

C. 3a + 7
Explanation
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.

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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

D. 12k - 18
Explanation
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).

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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

D. 20
Explanation
When c = 4, the expression becomes 4(4) + 3(4) - 2(4), which simplifies to 16 + 12 - 8. Combining like terms, we get 20.

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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

A. 5k -2m + 10
Explanation
The given expression is 5k + 4 + (6 - 2m). Simplifying the expression, we get 5k - 2m + 10. Therefore, the correct answer is 5k - 2m + 10.

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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

C. -r + 2
Explanation
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.

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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

B. R/3 = 12
Explanation
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.

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• Current Version
• Nov 17, 2023
Quiz Edited by
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• Apr 11, 2012
Quiz Created by
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