{{asɛmtiNe Ɔkyerɛwfo}} | Nhomakorabea | Nneɛma a ɛma wotumi yɛ ade

1

The volume inside of a sphere is $V = \dfrac{4\pi r^3}{3}$ where $r$ is the radius of the sphere. Your group has been asked to rearrange the formula so that it is rewritten to solve for $r$. Below are various solutions that your group-mates have arrived at. Select the correct one.

$r = \dfrac{\sqrt[3]{3V}}{4\pi}$

$r = \sqrt{\dfrac{3V}{4\pi}}$

$r = \sqrt[3]{\dfrac{4V}{3\pi}}$

$r = \sqrt[3]{\dfrac{3V}{4\pi}}$

1

Which equation has the same solution as $4 - 2(x - 5) = x - 19$?

$2(x + 5) = -8$

$x + 2 = 2x - 3$

$3(x - 3) = 9$

$3x - 4 = 2x + 7$

1

The value of $x$ in the expression $\dfrac{2x}{3} - 7 = 5$ is

$36$

$8$

$18$

$24$

1

Which expression is equivalent to $-2(x + 4) - (3x + 8)$?

$5x - 16$

$-5x - 16$

$5x + 16$

$-5x + 16$

1

Which property of multiplication is shown?
$5 \times (6 \times 4) = (5 \times 6) \times 4$

identity

zero

associative

distributive

1

Which of the following number lines represent the solution of the inequality $\frac{1}{5}(2 - 3x) \le -1\frac{2}{5}$?

A

B

C

D

1

Find the equation of the line passing through $(-4, -3)$ and parallel to the line determined by $3x + 4y = 12$.

$y = -\frac{3}{5}x - 2$

$y = -\frac{7}{4}x - 6$

$y = -\frac{3}{4}x - 6$

$y = -\frac{3}{4}x + 6$

1

3. Simplify $\frac{1}{3}(2x + 3) - \frac{1}{2}(x - 2)$.

A

B

C

D

1

What is the slope of the line $x - 2y = 3$?

1

What is the y-intercept of the following linear equation?
$2x + 9y = 18$

(0, 18)

(0, 2)

(9, 0)

(9, 2)

1

What is the $x$-intercept? Given: $4x + 2y = 1$ ?

$\dfrac{1}{2}$

$-\dfrac{1}{4}$

$\dfrac{1}{4}$

$4$

1

Which graph represents the following equation?
$y = \frac{2}{3}x + 4$

null

1

Which of the following is equivalent to the expression below?
$25 - 9x^{2}$

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

$(3x - 5)(3x - 5)$

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

$(5 - 3x)(5 - 3x)$

1

Evaluate: $2b(4a - c^{2})$ if $a = 5$, $b = \dfrac{2}{3}$, and $c = 11$.

$-67 \dfrac{1}{3}$

$-2 \dfrac{2}{3}$

$-134 \dfrac{2}{3}$

$108$

1

Name the property illustrated in the equation: $7 + (-7) = 0$.

Commutative Property of Addition

Distributive Property

Inverse Property of Addition

Associative Property of Addition

1

Write $x = \frac{2}{3}y - \frac{1}{3}$ in standard form.

$3x + 2y = -1$

$3x - 2y = 1$

$2x - 3y = 1$

$3x - 2y = -1$

1

For which equation is the graph a vertical line?

$x = 3$

$y = |x|$

$y = 3$

$x = y$

1

For which equation is the graph a horizontal line?

$y = 5$

$x = 6$

$y = [x]$

$y = |x + 2|$

1

Factor completely: $24x^2 - 10x - 4$

$2(12x^2 - 5x - 2)$

$2(4x - 2)(3x + 1)$

$2(4x + 1)(3x - 2)$

$2(x - 8)(x + 3)$

1

Which of the equations below represent a linear function? Select all that apply.

1

What type of number is $4\pi$? Select all that apply.

1

The value of the expression $-44 + 70 - 3(38 - 20) - (16 \div 2)$ is:

1

Evaluate the following expression:
$6^2 - 7(8 + 6 - 3^2)$
The value of the expression is

1

Which expressions are factors of $3x^2 - 5x - 12$? (Check all that apply)

1

Select the factors that represent the complete factoring of the polynomial.
$4x^2 - 20x + 21$
CHECK ALL THAT APPLY.

1

Which equation represents the line that passes through the points $(-4,4)$ and $(8,-2)$?

$y = -2x + 14$

$y = -2x - 4$

$y = -\frac{1}{2}x - 2$

$y = -\frac{1}{2}x + 2$

1

2000 tickets were sold in an exhibition on Saturday. The cost of a ticket for an adult is $4 and for a child is $2. The total amount collected on Saturday was $6400. Find the number of adult tickets and child tickets sold on Saturday. Answer: adult tickets, and child tickets were sold on Saturday.

1

Simplify the algebraic expressions.
$\dfrac{28x^4y^7}{7x^6y^{-1}}$ =

$\dfrac{35x^5y^{10}}{5x^2y^9}$ =

Mmuae Afoforo a Wobɛpaw:

1

Simplify the Radical: $\sqrt{60x^{10}}$

$2x^5\sqrt{15}$

$6x^5\sqrt{10}$

$4x^5\sqrt{15}$

$6x^{10}\sqrt{10}$

1

Which of the following is a solution to the equation $0 = x^{2} + 6x + 4$?

$x = -3 - 2\sqrt{5}$

$x = -6 + 2\sqrt{5}$

$x = -6 + \sqrt{5}$

$x = -3 - \sqrt{5}$

1

What value of $k$ will make this relationship NOT a function?
{$(-7, 2),\;(-1, 0),\;(4, 8),\;(k, 0)$}

2

-7

8

0

WHS Algebra 2 Trig Summer Exam 2026

WHS Algebra 2 Trig Summer Exam 2026

The volume inside of a sphere is $V = \dfrac{4\pi r^3}{3}$ where $r$ is the radius of the sphere. Your group has been asked to rearrange the formula so that it is rewritten to solve for $r$. Below are various solutions that your group-mates have arrived at. Select the correct one.

Which equation has the same solution as $4 - 2(x - 5) = x - 19$?

The value of $x$ in the expression $\dfrac{2x}{3} - 7 = 5$ is

Which expression is equivalent to $-2(x + 4) - (3x + 8)$?

Which property of multiplication is shown?$5 \times (6 \times 4) = (5 \times 6) \times 4$

Which of the following number lines represent the solution of the inequality $\frac{1}{5}(2 - 3x) \le -1\frac{2}{5}$?

Find the equation of the line passing through $(-4, -3)$ and parallel to the line determined by $3x + 4y = 12$.

3. Simplify $\frac{1}{3}(2x + 3) - \frac{1}{2}(x - 2)$.

What is the slope of the line $x - 2y = 3$?

What is the y-intercept of the following linear equation?$2x + 9y = 18$

What is the $x$-intercept? Given: $4x + 2y = 1$ ?

Which graph represents the following equation?$y = \frac{2}{3}x + 4$

Which of the following is equivalent to the expression below?$25 - 9x^{2}$

Evaluate: $2b(4a - c^{2})$ if $a = 5$, $b = \dfrac{2}{3}$, and $c = 11$.

Name the property illustrated in the equation: $7 + (-7) = 0$.

Write $x = \frac{2}{3}y - \frac{1}{3}$ in standard form.

For which equation is the graph a vertical line?

For which equation is the graph a horizontal line?

Factor completely: $24x^2 - 10x - 4$

Which of the equations below represent a linear function? Select all that apply.

What type of number is $4\pi$? Select all that apply.

The value of the expression $-44 + 70 - 3(38 - 20) - (16 \div 2)$ is:

Evaluate the following expression:$6^2 - 7(8 + 6 - 3^2)$The value of the expression is

Which expressions are factors of $3x^2 - 5x - 12$? (Check all that apply)

Select the factors that represent the complete factoring of the polynomial.$4x^2 - 20x + 21$CHECK ALL THAT APPLY.

Which equation represents the line that passes through the points $(-4,4)$ and $(8,-2)$?

Simplify the Radical: $\sqrt{60x^{10}}$

Which of the following is a solution to the equation $0 = x^{2} + 6x + 4$?

What value of $k$ will make this relationship NOT a function?{$(-7, 2),\;(-1, 0),\;(4, 8),\;(k, 0)$}

The volume inside of a sphere is $V = \dfrac{4\pi r^3}{3}$ where $r$ is the radius of the sphere. Your group has been asked to rearrange the formula so that it is rewritten to solve for $r$. Below are various solutions that your group-mates have arrived at. Select the correct one.

Which equation has the same solution as $4 - 2(x - 5) = x - 19$?

The value of $x$ in the expression $\dfrac{2x}{3} - 7 = 5$ is

Which expression is equivalent to $-2(x + 4) - (3x + 8)$?

Which property of multiplication is shown?$5 \times (6 \times 4) = (5 \times 6) \times 4$

Which of the following number lines represent the solution of the inequality $\frac{1}{5}(2 - 3x) \le -1\frac{2}{5}$?

Find the equation of the line passing through $(-4, -3)$ and parallel to the line determined by $3x + 4y = 12$.

3. Simplify $\frac{1}{3}(2x + 3) - \frac{1}{2}(x - 2)$.

What is the slope of the line $x - 2y = 3$?

What is the y-intercept of the following linear equation?$2x + 9y = 18$

What is the $x$-intercept? Given: $4x + 2y = 1$ ?

Which graph represents the following equation?$y = \frac{2}{3}x + 4$

Which of the following is equivalent to the expression below?$25 - 9x^{2}$

Evaluate: $2b(4a - c^{2})$ if $a = 5$, $b = \dfrac{2}{3}$, and $c = 11$.

Name the property illustrated in the equation: $7 + (-7) = 0$.

Write $x = \frac{2}{3}y - \frac{1}{3}$ in standard form.

For which equation is the graph a vertical line?

For which equation is the graph a horizontal line?

Factor completely: $24x^2 - 10x - 4$

Which of the equations below represent a linear function? Select all that apply.

What type of number is $4\pi$? Select all that apply.

The value of the expression $-44 + 70 - 3(38 - 20) - (16 \div 2)$ is:

Evaluate the following expression:$6^2 - 7(8 + 6 - 3^2)$The value of the expression is

Which expressions are factors of $3x^2 - 5x - 12$? (Check all that apply)

Select the factors that represent the complete factoring of the polynomial.$4x^2 - 20x + 21$CHECK ALL THAT APPLY.

Which equation represents the line that passes through the points $(-4,4)$ and $(8,-2)$?

Simplify the Radical: $\sqrt{60x^{10}}$

Which of the following is a solution to the equation $0 = x^{2} + 6x + 4$?

What value of $k$ will make this relationship NOT a function?{$(-7, 2),\;(-1, 0),\;(4, 8),\;(k, 0)$}

Which property of multiplication is shown?
$5 \times (6 \times 4) = (5 \times 6) \times 4$

What is the y-intercept of the following linear equation?
$2x + 9y = 18$

Which graph represents the following equation?
$y = \frac{2}{3}x + 4$

Which of the following is equivalent to the expression below?
$25 - 9x^{2}$

Evaluate the following expression:
$6^2 - 7(8 + 6 - 3^2)$
The value of the expression is

Select the factors that represent the complete factoring of the polynomial.
$4x^2 - 20x + 21$
CHECK ALL THAT APPLY.

What value of $k$ will make this relationship NOT a function?
{$(-7, 2),\;(-1, 0),\;(4, 8),\;(k, 0)$}

Which property of multiplication is shown?
$5 \times (6 \times 4) = (5 \times 6) \times 4$

What is the y-intercept of the following linear equation?
$2x + 9y = 18$

Which graph represents the following equation?
$y = \frac{2}{3}x + 4$

Which of the following is equivalent to the expression below?
$25 - 9x^{2}$

Evaluate the following expression:
$6^2 - 7(8 + 6 - 3^2)$
The value of the expression is

Select the factors that represent the complete factoring of the polynomial.
$4x^2 - 20x + 21$
CHECK ALL THAT APPLY.

What value of $k$ will make this relationship NOT a function?
{$(-7, 2),\;(-1, 0),\;(4, 8),\;(k, 0)$}