# Quiz Preview! Lessons 5-1 To 5-3

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Quizzes Created: 1 | Total Attempts: 28
Questions: 7 | Attempts: 28

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This is a preview quiz over lessons 5-1 to 5-4. Take it and practice!

• 1.

### 28 + (-34)

• A.

62

• B.

6

• C.

-6

• D.

-62

C. -6
Explanation
The signs are different, so subtract and keep the sign of the number with the largest absolute value.

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• 2.

### -5.68 - 1.2 =

• A.

-6.88

• B.

6.88

• C.

-4.48

• D.

4.48

A. -6.88
Explanation
Remember - Leave it, change it, change it. Leave the first number alone, change the subtraction to addition, and change the sign of the second number.

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• 3.

### What is the absolute value of -27?

• A.

-27

• B.

27

B. 27
Explanation
The absolute value of a number is its distance from zero on the number line. Since -27 is 27 units away from zero in the negative direction, the absolute value of -27 is 27.

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• 4.

### What property says that a + b = b + a?

• A.

Betweenness property

• B.

Commutative property

• C.

Associative property

• D.

B. Commutative property
Explanation
The commutative property states that the order of addition does not affect the result. In other words, for any two numbers a and b, a + b is equal to b + a. This property holds true for addition in mathematics.

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• 5.

### A recipe calls for t cups of cheese, k cups of coffee, and m cups of green beans, for a total of g cups of ingredients.  Write an equation relating t, k, m and g.

• A.

T - k - m = g

• B.

T + k + g = m

• C.

T + k + m = g

C. T + k + m = g
Explanation
The equation t + k + m = g represents the relationship between the number of cups of cheese (t), cups of coffee (k), and cups of green beans (m) needed in a recipe, which together make up the total number of cups of ingredients (g).

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• 6.

### Rewrite the expression m - n, using the algebraic definition of subtraction.

• A.

-m - (-n)

• B.

M - (-n)

• C.

-m + n

• D.

M + -n

D. M + -n
Explanation
The correct answer is m + -n because the algebraic definition of subtraction states that subtracting a number is the same as adding its opposite. In this case, subtracting n is the same as adding -n. Therefore, rewriting m - n using the algebraic definition of subtraction gives us m + -n.

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• 7.

### If you have a clockwise 60 degree turn followed by a 240 degree counterclockwise turn, followed by a clockwise 20 degree turn, what is the result?

• A.

-160 degrees

• B.

160 degrees

• C.

320 degrees

• D.

-320 degrees

B. 160 degrees
Explanation
The result of the given sequence of turns can be found by adding up the angles in a clockwise direction and subtracting the angles in a counterclockwise direction. In this case, we have a clockwise 60 degree turn followed by a 240 degree counterclockwise turn, which cancels out the initial clockwise turn. Finally, we have a clockwise 20 degree turn. Adding up all the clockwise turns, we get 60 + 20 = 80 degrees. Since there are no counterclockwise turns remaining, the final result is 80 degrees in a clockwise direction. Therefore, the correct answer is 160 degrees.

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• Current Version
• Apr 17, 2023
Quiz Edited by
ProProfs Editorial Team
• Jan 11, 2010
Quiz Created by
Scottwodahl

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