Expression and Terms Quiz

Simplify the expression. 1.5g – 10 + 6.5g – 3

Answer explanation

Combine like terms: (1.5g + 6.5g) + (-10 - 3) = 8g - 13. The simplified expression is 8g - 13.

Tags

CCSS.7.EE.A.1

Simplify the expression by combining like terms: -r + 6 + 8r - 14

Answer explanation

Combine like terms: -r + 8r = 7r and 6 - 14 = -8. Thus, the simplified expression is 7r - 8.

Tags

CCSS.7.EE.A.1

A letter that represents a number.

• Algebraic Expression

• Like Terms

• Constant

• Variable

Answer explanation

A variable is a letter that represents a number in mathematics. It can change or vary, unlike constants which have fixed values. Therefore, the correct answer is 'Variable'.

Tags

CCSS.6.EE.A.2B

Combine like terms
3x + 2x + 3y - 7y

• 5x + 10y

• 5x + 4y

• 5x - 4y

• 5x -10y

Answer explanation

Combine like terms: 3x + 2x = 5x and 3y - 7y = -4y. Thus, the expression simplifies to 5x - 4y, which matches the correct answer.

Tags

CCSS.7.EE.A.1

A number that is on its' own. (Does not have a variable attached to it).

• Constant

• Term

• Variable

• Coefficient

Answer explanation

A constant is a number that stands alone without any variable attached to it. In contrast, a term can include variables, while coefficients are numbers multiplying variables. Therefore, the correct answer is 'Constant'.

Tags

CCSS.6.EE.A.2B

Use the distributive property to find an equivalent expression of: 4(b + 6n)

• 4b + 24n

• b + 6n

• 4 + 6n

• 28bn

Answer explanation

Using the distributive property, multiply 4 by each term inside the parentheses: 4(b) + 4(6n) = 4b + 24n. Thus, the equivalent expression is 4b + 24n, which is the correct choice.

Tags

CCSS.6.EE.A.3

6z + 3 -4z = 9

• z = 3

• z = 60

• z = 30

• z = 1

Answer explanation

To solve 6z + 3 - 4z = 9, combine like terms: 2z + 3 = 9. Subtract 3 from both sides: 2z = 6. Divide by 2: z = 3. Thus, the correct answer is z = 3.

Tags

CCSS.8.EE.C.7B

Solve  12 - 6y = 24

• 2

• -2

• 3

• -3

Answer explanation

To solve 12 - 6y = 24, subtract 12 from both sides to get -6y = 12. Then, divide by -6 to find y = -2. Thus, the correct answer is -2.

Tags

CCSS.7.EE.B.4A

What is the first step to solve this equation:
11 - 3x = 44

• Subtract 11 from both sides

• Divide  - 3 on both sides

• Add 3 to both sides

• Add 11 to both sides

Answer explanation

To isolate the variable x, the first step is to eliminate the constant on the left side. Subtracting 11 from both sides simplifies the equation to -3x = 33, making it easier to solve for x.

Tags

CCSS.7.EE.B.4A

The objective when solving an equation is to.....

• Check the solution

• Guess and Check

• Isolate the variable

• Hope you get the right answer

Answer explanation

The objective when solving an equation is to isolate the variable. This means rearranging the equation to get the variable by itself, allowing us to find its value accurately.

Tags

CCSS.7.EE.B.4A