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Understanding Algebraic Expressions and Equations

Authored by Miss Clarke

Mathematics

9th Grade

CCSS covered

Used 2+ times

Understanding Algebraic Expressions and Equations
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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 4x+74x + 7 that represents the number of stickers Scarlett has?

44

4x4x

x + 7x\ +\ 7

7x7x

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 5y−35y - 3 . What is the coefficient of yy ?

55

−3-3

yy

33

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 2x2x apples and Harper gives him 3x3x more apples. Simplify the expression to find out how many apples Kai has in total.

5x5x

6x6x

2x2+3x2x^2 + 3x

2x+3x2x + 3x

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.

2x−52x - 5

2x+52x + 5

x+2+5x + 2 + 5

x2+5x^2 + 5

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 x=4x = 4 ?

1010

1212

1414

1818

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?

4x+24x + 2

x−5=10x - 5 = 10

3y3y

7+z7 + z

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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