Like Terms Retest

What is the name for the letters that represent something unknown in a math problem?

• Constants

• Coefficients

• Equations

• Variables

Answer explanation

In math, letters that represent unknown values are called variables. They are used to denote quantities that can change or vary, distinguishing them from constants, which have fixed values.

Tags

CCSS.6.EE.A.2B

What's the name for the number that is front of a variable?

• coefficient

• variable

• constant

• factor

Answer explanation

The number in front of a variable is called a coefficient. It indicates how many times the variable is multiplied. For example, in 3x, 3 is the coefficient of the variable x.

Tags

CCSS.6.EE.A.2B

What is the name for the numbers (without variables) in an equation?

• Constants

• Expressions

• Coefficients

• Variables

Answer explanation

In an equation, the numbers without variables are called constants. They represent fixed values, unlike variables which can change. Therefore, the correct answer is 'Constants'.

Tags

CCSS.6.EE.A.2B

• 2(2x) - 3

• 4x + 6

• 2x - 3

• 4x - 6

Answer explanation

To simplify 2(2x - 3), distribute the 2: 2 * 2x = 4x and 2 * -3 = -6. Thus, the expression simplifies to 4x - 6, which is the correct answer.

Tags

CCSS.6.EE.A.3

• 7x + y + 4

• 7x - y + 4

• 2x + 2y + 4

• 5x + 5y + 4

Answer explanation

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

Tags

CCSS.7.EE.A.1

• 5x

• 9x

• 6x

• 8x

Answer explanation

To simplify 7x - 2x + 4x, combine like terms: (7 - 2 + 4)x = 9x. Thus, the correct answer is 9x.

Tags

CCSS.7.EE.A.1

• 8a - 6b + 3

• 6a - 9b - 2

• 12a - 7b - 2

• 5a - 7b + 1

Answer explanation

Combine like terms: 7a + 5a = 12a and -8b + b = -7b. The constant -2 remains unchanged. Thus, the expression simplifies to 12a - 7b - 2, which matches the correct answer.

Tags

CCSS.7.EE.A.1

• 10m

• 15m

• 5m

• 14m

Answer explanation

To simplify 12m + 3m - m, combine like terms: (12m + 3m) = 15m, then 15m - m = 14m. Thus, the correct answer is 14m.

Tags

CCSS.7.EE.A.1

• 3p + 3q - 1

• 2p - 5q + 4

• 3p - 5q + 4q

• 3p - q - 1

Answer explanation

Combine like terms: 3p remains, -5q and +4q combine to -q, and -1 stays the same. Thus, the expression simplifies to 3p - q - 1, which matches the correct answer.

Tags

CCSS.7.EE.A.1

• -9x - 9

• 3x + 9

• -9x + 3

• -6x - 6

Answer explanation

To simplify -3(3x + 3), distribute -3: -3 * 3x = -9x and -3 * 3 = -9. Combine these to get -9x - 9, which matches the correct answer.

Tags

CCSS.6.EE.A.3