Properties Of Numbers, Expressions, And Solving Equations Quiz
Explore the basics of algebra with the Properties of Numbers, Expressions, and Solving Equations Quiz. This quiz assesses your understanding of the distributive property, equivalent expressions, solving equations, and more, enhancing your mathematical skills and problem-solving abilities.
- 1.
Which answer demonstrates the distributive property?
- A.
5 • (6 • x) = 6 • (x • 5)
- B.
4(x + 3) = 4x + 12
- C.
3 + x = x + 3
Correct Answer
B. 4(x + 3) = 4x + 12Explanation
The correct answer demonstrates the distributive property because it shows the multiplication of a number outside the parentheses by each term inside the parentheses. In this case, the number 4 is being multiplied by both x and 3. This results in 4x + 12, which is the same as the left side of the equation.Rate this question:
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- 2.
Write an equivalent expression to: y + 9
Correct Answer
9+y
9 + y
9+ y
9 +yExplanation
The given expression, y + 9, can be rearranged by changing the order of the terms to 9 + y. This is because addition is commutative, meaning the order of the terms does not affect the result. Therefore, 9 + y is an equivalent expression to y + 9.Rate this question:
- 3.
What clue word would tell us to divide?
- A.
Remain
- B.
Less than
- C.
Split equally
- D.
Together
Correct Answer
C. Split equallyExplanation
The clue word "split equally" suggests that the action of dividing is required. This phrase indicates that something needs to be divided into equal parts or portions.Rate this question:
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- 4.
Write an expression that demonstrates this word sentence: Thirty less than x.
Correct Answer
x - 30
x-30
x -30
x- 30Explanation
The expression x - 30 represents the phrase "thirty less than x". This is because subtracting 30 from x gives a result that is 30 less than x. The variations x-30, x -30, and x- 30 all represent the same expression and are equivalent to x - 30.Rate this question:
- 5.
Solve this equation for x:3x = -9
- A.
11
- B.
-3
- C.
-11
- D.
-6
- E.
3
- F.
6
Correct Answer
B. -3Explanation
To solve the equation 3x = -9, we need to isolate x. We can do this by dividing both sides of the equation by 3. Dividing -9 by 3 gives us -3. Therefore, the value of x that satisfies the equation is -3.Rate this question:
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- 6.
Solve this equation for y:2y - 5 = -25
- A.
-15
- B.
15
- C.
-10
- D.
10
Correct Answer
C. -10Explanation
To solve the equation 2y - 5 = -25, we need to isolate the variable y. First, we can add 5 to both sides of the equation to get 2y = -20. Then, we divide both sides by 2 to find y = -10. Therefore, the correct answer is -10.Rate this question:
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Current Version
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Oct 28, 2024Quiz Edited by
ProProfs Editorial Team -
Oct 05, 2010Quiz Created by
Nrosenstein
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