
Understanding Algebraic Expressions and Equations
Authored by Miss Clarke
Mathematics
9th Grade
CCSS covered
Used 2+ times

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22 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Scarlett is collecting stickers. She has 4 sticker packs, and each pack contains x stickers. She also finds 7 extra stickers. Which of the following is a term in the expression that represents the number of stickers Scarlett has?
Answer explanation
In the expression 4x + 7, the term 4x represents the variable x multiplied by the coefficient 4. Therefore, 4x is a term in the expression, while 4 and 7 are constants, and 7x is not present.
Tags
CCSS.6.EE.A.2B
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Ethan is buying y notebooks, and each notebook costs $5. He also uses a $3 discount coupon. The total cost can be represented by the expression . What is the coefficient of ?
Answer explanation
In the expression 5y - 3, the coefficient of y is the number that multiplies y. Here, 5 is the number in front of y, making the coefficient 5. Therefore, the correct answer is 5.
Tags
CCSS.6.EE.A.2B
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Michael is building a rectangular garden. He calculates the area by multiplying the length and width. In this context, which of the following best defines a "factor" in his calculation?
A number added to a variable
A number or variable multiplied to form a term
The answer to an equation
The variable alone
Answer explanation
A "factor" in an algebraic expression refers to a number or variable that is multiplied to form a term. This distinguishes it from addition or other operations, making the correct choice "A number or variable multiplied to form a term."
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Kai has apples and Harper gives him more apples. Simplify the expression to find out how many apples Kai has in total.
Answer explanation
To simplify the expression, combine like terms: 2x + 3x = (2 + 3)x = 5x. Therefore, the correct answer is 5x.
Tags
CCSS.7.EE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Lily has twice as many apples as a certain number, and then she gets five more apples. Translate the total number of apples Lily has into an algebraic expression.
Answer explanation
The phrase "the sum of twice a number and five" translates to 2x + 5. Here, 'twice a number' is represented as 2x, and 'the sum' indicates addition with 5, making 2x + 5 the correct expression.
Tags
CCSS.HSA-SSE.A.1A
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Lily is buying x notebooks, and each notebook costs $3. She also buys a pen for $2. What is the total cost when ?
Answer explanation
To evaluate the expression 3x + 2 when x = 4, substitute 4 for x: 3(4) + 2 = 12 + 2 = 14. Thus, the correct answer is 14.
Tags
CCSS.6.EE.A.2C
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Liam is thinking about different math statements. Which of the following is an equation?
Answer explanation
An equation is a mathematical statement that asserts the equality of two expressions. The correct choice, x - 5 = 10, is an equation because it includes an equals sign, indicating a relationship between the two sides.
Tags
CCSS.6.EE.B.5
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