Quiz about Equations

Question 1

An equation is given.

$${A}=4 \pi r^{2}$$

Solve the equation for $$r$$.

Accepted Answer

Covalent bond

Answer

$$r=\sqrt{\frac{A}{4 \pi}}$$

Answer

$$r=\sqrt{\frac{A}{23 \pi}}$$

Answer

$$r=\frac{A}{4}$$

Answer

$$r=\sqrt{\frac{1}{4 \pi}}$$

Question 2

The equation shown is used to find the force of gravity, F, between two objects, where $$G$$ is the gravitational constant, $$m_1$$ and $$m_2$$ are the masses of the two objects, and $$r$$ is the distance between the two objects.

$${F}=\frac{G m_1 m_2}{r^{2}}$$

Which equation correctly shows the distance between the two objects?

Accepted Answer

Covalent bond

Answer

$${r}=\sqrt{\frac{G m_1 m_2}{F}}$$

Answer

$${r}=\sqrt{\frac{F}{G m_1 m_2}}$$

Answer

$$ {r}=\frac{\sqrt{G m_1 m_2}}{F} $$

Answer

$${r}=\frac{\sqrt{F}}{G m_1 m_2}$$

Question 3

A function is given.

$$f(x)=(2 x-2)(x-3)$$

Find the zeros of the function.

Accepted Answer

Covalent bond

Answer

$$(1,0)$$ and $$(3,0)$$

Answer

$$(0,1)$$ and $$(0,3)$$

Answer

$$(1,1)$$ and $$(3,3)$$

Answer

$$(0,-1)$$ and $$(0,-3)$$

Question 4

Lena sells custom-printed T-shirts at her shop. She can sell $$120$$ T-shirts in a month if she charges $$ 14$$ for each Tshirt. She plans to change the price per $$T$$-shirt by a fixed amount $$n$$ times. The revenue, in dollars, after $$n$$ changes in price can be modeled by the expression $$(120+5 n)(14-3 n)$$

Based on the information, complete the sentence about Lena's T-shirt sales.

For each $$\ldots$$ in the price per T-shirt by $$\ldots$$ Lena will sell $$\ldots $$ more T-shirts in a month.

Accepted Answer

Covalent bond

Answer

Decrease, 3, 5

Answer

Increase, 3,5

Answer

Decrease, 5,3

Answer

Increase , 5,3

Question 5

A system of equations is given.

$$y=x^{2}-9$$

$$y=-2 x-1$$

What is one solution to the system of equations?

Accepted Answer

Covalent bond

Answer

$$-4$$ or $$2$$

Answer

$$4$$ or $$2$$

Answer

$$4$$ or $$-2$$

Answer

$$-4$$ or $$-2$$

Ohio State Equations Algebra 2 Maths Problems and Solutions

Many students find Equations for Algebra 2 particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Equations from Ohio State for Algebra 2 preparation.