Unit 4 Review

• 2 

• Three

• Five

• Two

• One

Answer explanation

The expression 2m + 3y - 7 consists of three distinct terms: 2m, 3y, and -7. Therefore, the correct answer is 'Three'.

• 16

• 48

• 20

• 13

Answer explanation

To evaluate the expression 20 - m · 3^0, substitute m = 4. Since 3^0 = 1, the expression simplifies to 20 - 4 · 1 = 20 - 4 = 16. Thus, the correct answer is 16.

Which expression has no coefficients?

• c + 1

• 2 (13 + 5)

• 6a + 2y -c

Answer explanation

The expression '2 (13 + 5)' has no coefficients because it is a constant multiplied by a sum, while the other options contain variables with coefficients.

• 79

• 16

• 25

• 15

Answer explanation

Substituting a = 3 into the expression 3a^2 - (a - 1) gives 3(3^2) - (3 - 1) = 3(9) - 2 = 27 - 2 = 25. Thus, the value of the expression is 25.

What are the terms in the expression?
4 + 16v

• 4, 16v

• 4

• v

• +16

Answer explanation

In the expression 4 + 16v, the terms are the individual components that are added together. Here, 4 is a constant term and 16v is a variable term. Therefore, the correct terms are 4 and 16v.

What are the variables in the expression?
4 + 16v

• 4, 16v

• 4

• v

• +16

Answer explanation

In the expression 4 + 16v, the variable is 'v'. The number 4 is a constant, and 16 is a coefficient of the variable. Therefore, the only variable present is 'v', making it the correct answer.

Simplify the expression: 
3t + 7y + t + 3y

• 3t + 10y

• 4t + 10y

• 4t + 4y

Answer explanation

Combine like terms: 3t + t = 4t and 7y + 3y = 10y. Thus, the simplified expression is 4t + 10y, which matches the correct answer.

5x + 3y + 5 + 4x + 3y + y + 8

• 9x + 7y + 13

• 6x + 2y + 2

• 25x + 2y + 3

• x + 7y + 12

Answer explanation

Combine like terms: 5x + 4x = 9x, 3y + 3y + y = 7y, and 5 + 8 = 13. Thus, the expression simplifies to 9x + 7y + 13, which matches the correct answer choice.

X² can be combined with X

• True

• False

Answer explanation

X² represents a squared term, while X is a linear term. They cannot be combined because they are not like terms. Therefore, the statement is False.