Simplifying equations

Question 1

What is the first step in simplifying the equation 3x + 5 - 2x?

Answer 1

Combine like terms.

Question 2

True or False: The equation 4(x + 2) simplifies to 4x + 8.

Answer 2

True.

Question 3

Fill in the blank: The expression 2a + 3a can be simplified to _____ .

Answer 3

5a.

Question 4

What does it mean to simplify an equation?

Answer 4

To reduce it to its simplest form.

Question 5

Which of the following is a like term of 7x? A) 3y B) 5x C) 2z

Answer 5

B) 5x.

Question 6

Simplify the equation 6y - 2y + 4.

Answer 6

4y + 4.

Question 7

True or False: The expression 5(2 + x) simplifies to 10 + 5x.

Answer 7

True.

Question 8

What is the coefficient in the term 9x?

Answer 8

9.

Question 9

Fill in the blank: The expression 10 - 3 + 2 simplifies to _____ .

Answer 9

9.

Question 10

If a = 3, what is the simplified value of 2a + 5?

Answer 10

11.

Question 11

Which term is not a like term with 4x^2? A) 2x B) 5x^2 C) 3x^2

Answer 11

A) 2x.

Question 12

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

Answer 12

6x + 12.

Question 13

True or False: The equation 8 - (3 + 2) simplifies to 3.

Answer 13

False.

Question 14

What do you get when you simplify the expression 12x - 4x + 7?

Answer 14

8x + 7.

Question 15

Fill in the blank: The expression 4(x - 1) simplifies to _____ .

Answer 15

4x - 4.

Question 16

What is the simplified result of 5 + 3(2x - 1)?

Answer 16

6 + 6x.

Question 17

Which of the following is an example of a constant? A) 4x B) 7 C) 3y

Answer 17

B) 7.

Question 18

True or False: You can combine 2x and 3y in an expression.

Answer 18

False.

Question 19

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

Answer 19

2x + 10.

Question 20

Fill in the blank: The expression 5x + 2x - 3 can be simplified to _____ .

Answer 20

7x - 3.

Question 21

What is the result of simplifying the expression 10 - 2(3 + 1)?

Answer 21

2.

Question 22

Which of the following is the simplified form of 4a + 2b - 3a + 5b?

Answer 22

a + 7b.

Question 23

True or False: The expression 7x + 2 - 3x + 4 simplifies to 4x + 6.

Answer 23

True.

Question 24

What is the first step to simplify the expression 3(x + 2) + 4x?

Answer 24

Distribute 3 to both terms in the parentheses.

Question 25

Fill in the blank: The simplified form of 6(x + 1) - 2(x - 3) is _____ .

Answer 25

4x + 12.

Question 26

What do you call terms that have the same variable raised to the same power?

Answer 26

Like terms.

Question 27

True or False: The equation 5x - 2x + 3 + 1 simplifies to 3x + 4.

Answer 27

True.

Question 28

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

Answer 28

8x - 12 + 3x = 11x - 12.

Question 29

Fill in the blank: The expression 9y - 4y + 3 simplifies to _____ .

Answer 29

5y + 3.

Question 30

What is the simplified form of 5 + 2(3 + x)?

Answer 30

11 + 2x.

Question 31

Which of the following expressions cannot be simplified? A) 2x + 3x B) x^2 + 2x + 3 C) 4 + 5

Answer 31

B) x^2 + 2x + 3.

Question 32

What is the result of simplifying 7 - (2 + 3) + 4?

Answer 32

6.