Analyzing Expressions Test

1

Use the rectangle shown to answer the question.

What is the area of the rectangle?

$5x + 2$

$10x + 4$

$4x^2 + 17x - 15$

$4x^2 + 23x - 15$

1

Which expression is equivalent to $(11x - 8) + (7 - 4x)$?

$18x - 12$

$18x - 4$

$7x - 15$

$7x - 1$

1

Which expression is equivalent to $(2x + 15)(x - 3)$?

$2x^2 - 21x - 45$

$2x^2 - 9x - 45$

$2x^2 + 9x - 45$

$2x^2 + 21x - 45$

1

Which expression is equivalent to $(-4x^2 + 9) + (10x^2 - 5x - 8)$?

$x^2 + 1$

$x^2 + 17$

$6x^2 + 4x - 8$

$6x^2 - 5x + 1$

1

Consider the equation.
$-4x(x + y^2) - 2(x^2 - 3) + y^2(3 - 4x) = -6x^2 - 8xy^2 + \_\_\_ y^2 + \_\_\_$
Which numbers fill in the blanks of the equation correctly?

$-3$ and $-6$

$-3$ and $6$

$3$ and $-6$

$3$ and $6$

1

$(7x^3 - 4x^2 + 8) + (-2x^3 - 5x^2 - 1)$ =

$5x^3 - 9x^2 + 7$

$9x^3 - x^2 + 9$

$5x^2 - 9x^2 + 7$

$9x^6 + x^2 + 9$

1

Which polynomial is equivalent to $(-3n + 1)^2$?

$9n^2 - 6n + 1$

$-9n^2 - 6n + 1$

$9n^2 + 1$

$-9n^2 + 1$

1

A rectangular window has a length that is 5 inches more than its width. If the width is $(2x - 1)$, which expression represents the area of the window?

$10x - 5$

$4x^2 + 6x - 4$

$8x + 6$

$4x^2 + 8x - 5$

1

When Eric multiplied two binomials together, his result was a trinomial. An example is $(x + 2)(x + 3) = x^2 + 5x + 6$. Eric concluded that the product of any two binomials is a trinomial. The product of which pair of binomials disproves Eric’s conclusion?

$(x - 2)(x + 3)$

$(x - 2)(x + 2)$

$(x + 3)(x + 3)$

$(x - 2)(x - 2)$

1

A rectangular prism has length, width, and height as shown in the diagram. Which is an expression for the volume of the prism? (V = lwh)

$x^2 - x - 6$

$x^2 + 5x + 6$

$x^3 - x^2 - 6x$

$x^3 + 5x^2 - 5x$

1

Consider the expressions.
Expression 1
$(x^8 - 16)$
Expression 2
$(x^4 - 4)(x^4 + 4)$
Expression 3
$(x^4 - 8)(x^4 + 8)$
Expression 4
$(x^2 - 2)(x^2 + 2)(x^4 + 4)$
Which statement is true?

Expression 1	$(x^8 - 16)$
Expression 2	$(x^4 - 4)(x^4 + 4)$
Expression 3	$(x^4 - 8)(x^4 + 8)$
Expression 4	$(x^2 - 2)(x^2 + 2)(x^4 + 4)$

Expression 1 and Expression 2 are the only equivalent expressions.

Expression 1 and Expression 3 are the only equivalent expressions.

Expression 1, Expression 2, and Expression 4 are the only equivalent expressions.

Expression 1, Expression 3, and Expression 4 are the only equivalent expressions.

1

The area of the rectangle below is equal to $x^2 + 4x + 3$.
Which expression shows the width w?

$x - 2$

$x + 2$

$x - 2$

$x + 1$

1

Which binomial is a factor of $4x^2 - 11x + 6$?

$x - 2$

$x + 2$

$4x - 2$

$4x + 2$

1

What is the GCF of the expression $56x^2 - 28x$?

$7$

$8$

$28x$

$56x$

1

Which pair represents equivalent expressions?

$5(x + 3) - 3$ and $5x$

$2(3 - x) + 2$ and $4 - 2x$

$x^2 - y^2$ and $(x - y)(x + y)$

$x^4 - y^4$ and $(x^2 - y^2)(x^2 + y^2)$

1

Which expression is equivalent to $30c + 18cd - 10 - 6d$?

$(6c + 2)(5 + 3d)$

$(6c + 2)(5 - 3d)$

$(6c - 2)(5 + 3d)$

$(6c - 2)(5 - 3d)$

1

Which expression is equivalent to $36x^4y^2 + 16x^3y$?

$4x^3y(9xy + 4)$

$4x^3y(9x + 4)$

$8x^3y(4xy + 2)$

$8x^3y(4x + 2)$

1

Which expression is equivalent to $(3x^5 + 2y^4)(3x^5 - 2y^4)$?

$9x^{10} - 4y^8$

$9x^{25} - 4y^{16}$

$9x^{10} - 12x^5y^4 - 4y^8$

$9x^{25} - 12x^{10}y^5 - 4y^{16}$

1

Which expression is equivalent to $4x^6 - 1$?

$(2x^3 + 1)(2x^3 - 1)$

$(2x^2 + 1)^2(x^2 - 1)$

$(2x^3 - 1)^2$

$(2x^2 - 1)^3$

1

Which expressions are equivalent to $4x^2 + 20x$?

$4x(x) + 4x(5)$ and $4x(x + 5)$

$4x(x) + 4x(5)$ and $4x(5x)$

$4x(x) + 5x(4)$ and $5x(x + 4)$

$4x(x) + 5x(4)$ and $5x(4x)$

Analyzing Expressions Test

Use the rectangle shown to answer the question.What is the area of the rectangle?

Which expression is equivalent to $(11x - 8) + (7 - 4x)$?

Which expression is equivalent to $(2x + 15)(x - 3)$?

Which expression is equivalent to $(-4x^2 + 9) + (10x^2 - 5x - 8)$?

Consider the equation.$-4x(x + y^2) - 2(x^2 - 3) + y^2(3 - 4x) = -6x^2 - 8xy^2 + \_\_\_ y^2 + \_\_\_$Which numbers fill in the blanks of the equation correctly?

$(7x^3 - 4x^2 + 8) + (-2x^3 - 5x^2 - 1)$ =

Which polynomial is equivalent to $(-3n + 1)^2$?

A rectangular window has a length that is 5 inches more than its width. If the width is $(2x - 1)$, which expression represents the area of the window?

When Eric multiplied two binomials together, his result was a trinomial. An example is $(x + 2)(x + 3) = x^2 + 5x + 6$. Eric concluded that the product of any two binomials is a trinomial. The product of which pair of binomials disproves Eric’s conclusion?

A rectangular prism has length, width, and height as shown in the diagram. Which is an expression for the volume of the prism? (V = lwh)

Consider the expressions.Expression 1$(x^8 - 16)$Expression 2$(x^4 - 4)(x^4 + 4)$Expression 3$(x^4 - 8)(x^4 + 8)$Expression 4$(x^2 - 2)(x^2 + 2)(x^4 + 4)$Which statement is true?

The area of the rectangle below is equal to $x^2 + 4x + 3$.Which expression shows the width w?

Which binomial is a factor of $4x^2 - 11x + 6$?

What is the GCF of the expression $56x^2 - 28x$?

Which pair represents equivalent expressions?

Which expression is equivalent to $30c + 18cd - 10 - 6d$?

Which expression is equivalent to $36x^4y^2 + 16x^3y$?

Which expression is equivalent to $(3x^5 + 2y^4)(3x^5 - 2y^4)$?

Which expression is equivalent to $4x^6 - 1$?

Which expressions are equivalent to $4x^2 + 20x$?

Use the rectangle shown to answer the question.What is the area of the rectangle?

Which expression is equivalent to $(11x - 8) + (7 - 4x)$?

Which expression is equivalent to $(2x + 15)(x - 3)$?

Which expression is equivalent to $(-4x^2 + 9) + (10x^2 - 5x - 8)$?

Consider the equation.$-4x(x + y^2) - 2(x^2 - 3) + y^2(3 - 4x) = -6x^2 - 8xy^2 + \_\_\_ y^2 + \_\_\_$Which numbers fill in the blanks of the equation correctly?

$(7x^3 - 4x^2 + 8) + (-2x^3 - 5x^2 - 1)$ =

Which polynomial is equivalent to $(-3n + 1)^2$?

A rectangular window has a length that is 5 inches more than its width. If the width is $(2x - 1)$, which expression represents the area of the window?

When Eric multiplied two binomials together, his result was a trinomial. An example is $(x + 2)(x + 3) = x^2 + 5x + 6$. Eric concluded that the product of any two binomials is a trinomial. The product of which pair of binomials disproves Eric’s conclusion?

A rectangular prism has length, width, and height as shown in the diagram. Which is an expression for the volume of the prism? (V = lwh)

Consider the expressions.Expression 1$(x^8 - 16)$Expression 2$(x^4 - 4)(x^4 + 4)$Expression 3$(x^4 - 8)(x^4 + 8)$Expression 4$(x^2 - 2)(x^2 + 2)(x^4 + 4)$Which statement is true?

The area of the rectangle below is equal to $x^2 + 4x + 3$.Which expression shows the width w?

Which binomial is a factor of $4x^2 - 11x + 6$?

What is the GCF of the expression $56x^2 - 28x$?

Which pair represents equivalent expressions?

Which expression is equivalent to $30c + 18cd - 10 - 6d$?

Which expression is equivalent to $36x^4y^2 + 16x^3y$?

Which expression is equivalent to $(3x^5 + 2y^4)(3x^5 - 2y^4)$?

Which expression is equivalent to $4x^6 - 1$?

Which expressions are equivalent to $4x^2 + 20x$?

Use the rectangle shown to answer the question.

What is the area of the rectangle?

Consider the equation.
$-4x(x + y^2) - 2(x^2 - 3) + y^2(3 - 4x) = -6x^2 - 8xy^2 + \_\_\_ y^2 + \_\_\_$
Which numbers fill in the blanks of the equation correctly?

Consider the expressions.
Expression 1
$(x^8 - 16)$
Expression 2
$(x^4 - 4)(x^4 + 4)$
Expression 3
$(x^4 - 8)(x^4 + 8)$
Expression 4
$(x^2 - 2)(x^2 + 2)(x^4 + 4)$
Which statement is true?

The area of the rectangle below is equal to $x^2 + 4x + 3$.
Which expression shows the width w?

Use the rectangle shown to answer the question.

What is the area of the rectangle?

Consider the equation.
$-4x(x + y^2) - 2(x^2 - 3) + y^2(3 - 4x) = -6x^2 - 8xy^2 + \_\_\_ y^2 + \_\_\_$
Which numbers fill in the blanks of the equation correctly?

Consider the expressions.
Expression 1
$(x^8 - 16)$
Expression 2
$(x^4 - 4)(x^4 + 4)$
Expression 3
$(x^4 - 8)(x^4 + 8)$
Expression 4
$(x^2 - 2)(x^2 + 2)(x^4 + 4)$
Which statement is true?

The area of the rectangle below is equal to $x^2 + 4x + 3$.
Which expression shows the width w?