ALGEBRA

Question 1

What is a simple sentence in algebra?

Answer 1

A simple sentence in algebra consists of a single independent clause with a subject and a predicate.

Question 2

True or False: The expression 3x + 5 is a simple sentence.

Answer 2

False

Question 3

Fill in the blank: In algebra, __________ is the process of replacing a variable with a number or another expression.

Answer 3

substitution

Question 4

What is the result of substituting x = 2 in the expression 3x + 4?

Answer 4

10

Question 5

Simplify the expression: 2(x + 3) + 4.

Answer 5

2x + 10

Question 6

Choose the correct answer: What is the first step in simplifying the expression 4(x - 1) + 2x?

Answer 6

Distribute the 4 to both terms inside the parentheses.

Question 7

True or False: The expression 5x - 2 + 3x can be simplified to 8x - 2.

Answer 7

True

Question 8

What is the value of the expression 7y - 3 when y = 1?

Answer 8

4

Question 9

Fill in the blank: The __________ property states that changing the order of the addends does not change the sum.

Answer 9

commutative

Question 10

What does it mean to combine like terms?

Answer 10

It means to add or subtract terms that have the same variable raised to the same power.

Question 11

True or False: The expression 3a + 2b is simplified because there are no like terms.

Answer 11

True

Question 12

What is the simplified form of 6x + 3x - 5?

Answer 12

9x - 5

Question 13

Multiple Choice: Which of the following is a like term of 4x?

Answer 13

2x

Question 14

What is the result of simplifying the expression 8 - (3 + 5)?

Answer 14

0

Question 15

Fill in the blank: When you multiply a term by a number, you are applying the __________ property.

Answer 15

distributive

Question 16

What is the expression for the perimeter P of a rectangle with length l and width w?

Answer 16

P = 2l + 2w

Question 17

True or False: The expression 10 - 2(3 + x) simplifies to 4 - 2x.

Answer 17

True

Question 18

What is the first step when simplifying the expression 5(2x + 3) - 4?

Answer 18

Distribute the 5.

Question 19

Multiple Choice: What is the simplified form of 2(x + 4) + 3(x - 2)?

Answer 19

5x + 2

Question 20

What is the value of the expression 4z + 6 when z = 2?

Answer 20

14

Question 21

Fill in the blank: To solve for x in the equation 2x + 3 = 11, first subtract __________ from both sides.

Answer 21

3

Question 22

What is the simplified form of the expression 3(4 + 2x) - 2x?

Answer 22

12 + 6x

Question 23

True or False: When simplifying expressions, the order of operations must be followed.

Answer 23

True

Question 24

What is the expression for the area A of a triangle with base b and height h?

Answer 24

A = 1/2 * b * h