Quiz about Algebra EOC Review Quiz '22

Question 1

Which expression is equivalent to $$\sqrt[]{184}$$ ? Select all that apply.

Accepted Answer

$$2\sqrt[]{46}$$

Answer

92

Answer

$$4\sqrt[]{23}$$

Answer

$$4\sqrt[]{46}$$

Question 2

The graph of a linear function is shown on the grid. Which function is best represented by this graph?

Accepted Answer

$$g\left(x\right)=-\frac{2}{3}x+4$$

Answer

$$f\left(x\right)=6x+4$$

Answer

$$g\left(x\right)=4x-\frac{2}{3}$$

Answer

$$g\left(x\right)=-\frac{3}{2}x+6$$

Question 3

The values in the table represent a linear relationship between x and y. What is the rate of change of y with respect to x?

Accepted Answer

10

Answer

17

Answer

-10

Answer

-17

Question 4

Which ordered pair is in the solution set of 8x + 16y > 32? Select all that are true.

Accepted Answer

(-3, 5)

Accepted Answer

(0,5)

Answer

(0,2)

Answer

(-1, 1)

Answer

(4,0)

Question 5

Which expression is equivalent to $$\left(x^9yz^4\right)^5$$ ?

Accepted Answer

$$x^{45}y^5z^{20}$$

Answer

$$x^{14}y^6z^9$$

Answer

$$x^{14}y^5z^9$$

Answer

$$x^{45}yz^{20}$$

Question 6

The graph shows the number of game consoles sold in millions since 2009. Based on this information, which function best models the number of game consoles sold in millions x years since 2009?

Accepted Answer

$$g\left(x\right)=25.5\left(0.6\right)^x$$

Answer

$$g\left(x\right)=0.6\left(25.5\right)^x$$

Answer

$$g\left(x\right)=6.12\left(25.5\right)^x$$

Answer

$$g\left(x\right)=25.5\left(6.12\right)^x$$

Question 7

Which graph best represents the solution set to this system of inequalities?

$$x+y<1$$

$$x-y\le2$$

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 8

The graph of a quadratic function is shown on the grid. Which function is best represented by this graph?

Accepted Answer

$$f\left(x\right)=-\frac{1}{2}x^2+8$$

Answer

$$f\left(x\right)=-\frac{1}{2}x^2+16$$

Answer

$$f\left(x\right)=-x^2+16$$

Answer

$$f\left(x\right)=-x^2+8$$

Question 9

A conservation agency tracks the sea turtle population by counting the number of nesting sites where the turtles lay their eggs. The table shows the numbers of nesting sites for several years since 2001. The data can be modeled by an exponential function. Which function best models the data?

Accepted Answer

n(x) = 46,797.94(0.93)^x

Answer

n(x) = 25,956.80(1.08)^x

Answer

n(x) = 1.08(25,956.80)^x

Answer

n(x) = 0.93(46,797.94)^x

Question 10

The graph of f(x) = x² is reflected over the x-axis and is stretched horizontally to create the graph of function g. Which graph could represent g?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 11

Which expression is equivalent to $$\left(\frac{3}{2}p+1\right)\left(\frac{1}{2}p+3\right)$$ ?

Accepted Answer

$$\frac{3}{4}p^2+5p+3$$

Answer

$$2p^2+3$$

Answer

$$4p^2+3$$

Answer

$$\frac{3}{4}p^2+10p+3$$

Question 12

Which expression is equivalent to 16w² + 24w + 9?

Accepted Answer

(4w + 3)2

Answer

(4w - 3)2

Answer

(8w + 3)2

Answer

(9w - 3)2

Question 13

Which graph best represents a function with a domain of all real numbers less than or equal to 6?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 14

Which expression is equivalent to x² + 10x + 24?

Accepted Answer

(x + 4)(x + 6)

Answer

(x + 1)(x + 24)

Answer

(x + 2)(x + 12)

Answer

(x + 3)(x + 8)

Question 15

The graph models the linear relationship between the number of monthly payments made on a loan and the remaining balance in dollars left to pay on the loan. Which statement describes the x-intercept of the graph?

Accepted Answer

The x-intercept is 60, which represents the number of monthly payments needed to repay the loan

Answer

The x-intercept is 60, which represents the initial balance in dollars of the loan.

Answer

The x-intercept is 27,000, which represents the initial balance in dollars of the loan.

Answer

The x-intercept is 27,000, which represents the number of monthly payments needed to repay the loan.

Question 16

The function $$y=5\left(\frac{1}{3}\right)^x$$ is shown. Identify all of the statements that are true.

Accepted Answer

The asymptote is y = 0,

Accepted Answer

The exponential function is a decay function.

Answer

The y-intercept is 1/3.

Answer

The x-intercept is 0.

Answer

The domain is x > -1

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