Question 1

Simplify the expression 3x - (4x + 5).

Accepted Answer

-x - 5

Answer

7x - 5

Answer

x - 5

Answer

-x + 5

Question 2

Simplify the expression 3(x - 2) - 2(3 - x).

Accepted Answer

7x - 9

Answer

5x - 7

Answer

5x - 9

Answer

7x - 5

Question 3

What is the value of 2(x + 1) - 3(3x - 4) when x = -2?

Accepted Answer

13

Answer

-13

Answer

15

Answer

11

Question 4

What is the value of 2x + 3 when x = 4?

Accepted Answer

11

Answer

9

Answer

7

Answer

12

Question 5

What is the result of 3(x - 4) + 2(2x - 3)

Accepted Answer

7x - 15

Answer

7x + 15

Answer

7x + 6

Answer

7x - 6

Question 6

What is the simplified form of 4(x - 3) - 6x?

Accepted Answer

-2x - 12

Answer

2x - 12

Answer

-2x + 12

Answer

2x + 12

Question 7

What is the simplified form of 10 - 2x - 3 + 5x?

Accepted Answer

3x + 7

Answer

3x - 2

Answer

5x - 7

Answer

8x + 13

Question 8

What is the simplified form of the algebraic expression 3x + 5x - 2x?

Accepted Answer

6x

Answer

2x

Answer

10x

Answer

8x

Question 9

Which term refers to a number being multiplied by a variable?

Accepted Answer

Coefficient

Answer

Variable

Answer

Exponent

Answer

Constant

Question 10

Which term refers to adding or subtracting terms?

Accepted Answer

Combining like terms

Answer

Factoring

Answer

Simplifying

Answer

Distributing

Question 11

What is the simplified form of 3(2x - 4y) - 5x?

Accepted Answer

x - 12y

Answer

x + 12y

Answer

3x - 12y

Answer

11x - 12y

Question 12

What is an algebraic expression?

Accepted Answer

A mathematical phrase that can contain numbers, variables, and operations

Answer

A type of algebraic equation

Answer

A sentence in a book about math

Answer

A symbol used only in advanced algebra

Question 13

What does the variable in an algebraic expression represent?

Accepted Answer

An unknown number or quantity

Answer

An operation

Answer

A type of graph

Answer

A specific number

Question 14

What is the difference between a term and a factor in an algebraic expression?

Accepted Answer

A term is a single unit separated by addition or subtraction, while a factor is a number or variable multiplied together

Answer

There is no difference between a term and a factor

Answer

A term and a factor are the same thing

Answer

A factor is a single unit separated by addition or subtraction, while a term is a number or variable multiplied together

Question 15

What is the coefficient of a term in an algebraic expression?

Accepted Answer

The number multiplied by the variable in the term

Answer

The number before the variable in the expression

Answer

The total number of terms in the expression

Answer

The result of adding or subtracting two terms

Question 16

What is the order of operations for simplifying algebraic expressions?

Accepted Answer

Parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right)

Answer

Exponents, parentheses, addition and subtraction (from left to right), multiplication and division (from left to right)

Answer

Addition and subtraction, multiplication and division (from left to right), parentheses, exponents

Answer

Multiplication and division (from left to right), addition and subtraction (from left to right), parentheses, exponents

Question 17

What is the distributive property?

Accepted Answer

When a number or expression is multiplied by a sum or difference, it can be distributed to each term in the parentheses

Answer

When a number or expression is divided by a sum or difference, it can be distributed to each term in the parentheses

Answer

When a number or expression is subtracted from a sum or difference, it can be distributed to each term in the parentheses

Answer

When a number or expression is added to a sum or difference, it can be distributed to each term in the parentheses

Question 18

What is a like term in an algebraic expression?

Accepted Answer

Terms that have the same variables raised to the same powers

Answer

Terms that have the same variables with different powers

Answer

Terms that have no variables

Answer

Terms that have different variables with the same powers

Question 19

What is the difference between an equation and an expression?

Accepted Answer

An equation has an equal sign and can be solved to find the value of the variable, while an expression does not have an equal sign and cannot be solved for the variable

Answer

There is no difference between an equation and an expression

Answer

An equation has an equal sign and cannot be solved for the variable, while an expression does not have an equal sign and can be solved to find the value of the variable

Answer

An equation has two equal signs and can be solved to find the value of the variable, while an expression has only one equal sign and cannot be solved for the variable

Question 20

Write an expression for the weight of three w-kg packages. (no need to type unit)

Accepted Answer

3w

Question 21

Write an expression for the area of a postcard y cm long and z cm wide. (no need to type unit)

Accepted Answer

yz

Question 22

Write an expression for the change when you use 500 - yen to pay for b -yen in postage. (No need to type unit)

Accepted Answer

500-b

Question 23

Write an expression for the total cost when you buy w 50-yen stamps and x 80-yen stamps.

Accepted Answer

50w + 80x

Answer

50w + x

Answer

50w + 80

Answer

50 + 80x

Question 24

There is 2000 mL of juice. If 6 people drink w ml each, z ml is left. Write an expression for it.

Accepted Answer

6w + z = 2000

Answer

2000 - z = w

Answer

6z + w = 2000

Answer

6w - z = 2000

Question 25

Given $5\left(4x-3\right)-4A\ =12x+5$ . Find the expression for A.

Accepted Answer

2x - 5

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