Grade 6 Variables and Algebraic Expressions Practice Test

Correct answer: A

The correct answer is A symbol that represents a number or quantity.

1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
2. Rewrite or evaluate: A variable such as $x$ can represent an unknown or changing quantity.
3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Correct answer: B

The correct answer is $5$.

1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
2. Rewrite or evaluate: The coefficient is the number multiplying the variable, so the coefficient of x is 5.
3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Correct answer: C

The correct answer is $7$.

1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
2. Rewrite or evaluate: The constant term has no variable attached, so it is 7.
3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Correct answer: D

The correct answer is $3$.

1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
2. Rewrite or evaluate: The terms are $4x$, $3y$, and $-2$, for three terms.
3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Correct answer: A

The correct answer is It combines numbers, variables, and operations without requiring an equals sign..

1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
2. Rewrite or evaluate: An expression represents a quantity using numbers, variables, and operations; an equals sign is not required.
3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Correct answer: B

The correct answer is $-2$.

1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
2. Rewrite or evaluate: The coefficient includes the sign and number multiplying x, so it is $-2$.
3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Correct answer: C

The correct answer is $3x and 5x$.

1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
2. Rewrite or evaluate: Like terms have the same variable part with the same exponents, so 3x and 5x are like terms.
3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Correct answer: D

The correct answer is $10$.

1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
2. Rewrite or evaluate: Substitute 6 for x: $6 + 4 = 10$.
3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Correct answer: A

The correct answer is Two times a.

1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
2. Rewrite or evaluate: Juxtaposition means multiplication, so $2a = 2 \times a$.
3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.

Correct answer: B

The correct answer is $-9$.

1. Identify the algebraic parts: Name the variables, coefficients, constants, terms, and operations in the expression.
2. Rewrite or evaluate: The constant term has no variable, and the subtraction sign makes it $-9$.
3. Check the form: Confirm that equivalent terms are combined correctly and that the variable values are substituted consistently.