Quiz about SBAC Review Algebra 2

Question 1

Which inequality represents all possible solutions of $$-12d\ge-6$$ ?

Accepted Answer

$$d\le\frac{1}{2}$$

Answer

$$d\ge\frac{1}{2}$$

Answer

$$d\ge-\frac{1}{2}$$

Answer

$$d\le-\frac{1}{2}$$

Question 2

Some students are studying graphs of functions y = f(x) and other equations. Each table contains some points on a particular graph. Decide which set of points cannot be on the graph of a function.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 3

Determine whether each expression is equivalent to $$x^{\frac{2}{5}}$$ .

Accepted Answer

$$\sqrt[5]{x^2}$$

Answer

$$\sqrt[2]{x^5}$$

Answer

$$\sqrt[3]{x}$$

Answer

$$\sqrt[]{x^3}$$

Question 4

Enter an expression equivalent to $$(−3xy^3)(5x^4y^4)$$ in the form $$Ax^my^n$$ .

Accepted Answer

$$-15x^5\cdot y^7$$

Answer

$$-15\cdot2x^4\cdot y^3\cdot y^4$$

Answer

$$-15\cdot x\cdot x^4\cdot y^3\cdot y^4$$

Answer

$$2x^5\cdot y^7$$

Question 5

Which statement is an accurate interpretation of the student's work?

Accepted Answer

The correct solution is x = 11.

Answer

The student made an error in Step 1.

Answer

The student made an error in Step 3.

Answer

A solution to the equation in Step 2 is x = 11, but this is not a solution to the original equation.

Question 6

Enter an expression equivalent to $$\frac{d^{\ 8}}{d\ ^3}$$ in the form, $$d^{\ n}$$ .

Accepted Answer

$$d\ ^5$$

Answer

$$d\ ^{11}$$

Answer

$$d\ ^{24}$$

Answer

$$\frac{8}{3}$$

Question 7

Select the line plot that represents the given high temperatures.

84, 70, 76, 84, 80, 70, 72, 78, 82, 82, 78, 76, 84, 84

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 8

Select the graph that correctly represents the cost, y, in dollars, to buy x grapefruit that cost $1.50 each.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 9

Jacob buys tickets that can be used for car washes. The total cost, c, depends on how many tickets for car washes, t, he buys.

Select the average cost per car wash for Jacob when he buys 5 tickets.

Accepted Answer

$7.00

Answer

$6.50

Answer

$6.75

Answer

$8.00

Question 10

Select the line plot that represents the given number of pieces of mail Joey received for 14 days.

-

0, 2, 2, 2, 3, 3, 3, 3, 4, 6, 7, 7, 8, 10

-

English glossary :

plot : drawing showing a relationship between two sets of numbers as a set of points

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 11

This graph shows the amount of gas, in ounces, in a lawn mower gas tank, modeled as a function of time.

Determine which of the is false according to the graph.

Accepted Answer

The maximum amount of gas in the gas tank was 60 ounces.

Answer

The amount of gas

in the gas tank is at a maximum at 0 minutes.

Answer

The gas tank will be empty after 60 minutes.

Question 12

Select the graph that shows the solution set of the system of linear inequalities.

$$y\le−2x+5$$

$$y>3x−1$$

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 13

Consider this right triangle.

Determine which equation is true.

Accepted Answer

$$\sin(G)=\frac{4.5}{7.5}$$

Answer

$$\sin(F)=\frac{4.5}{7.5}$$

Answer

$$\cos(G)=\frac{6}{4.5}$$

Answer

$$\cos(G)=\frac{4.5}{7.5}$$

Question 14

Jesse graphs the equation $$y=\frac{2}{3}x$$ . Then he graphs $$y=\frac{2}{3}x\ +b$$ , where b is a nonzero real number.

If b = -1, which quadrant will the graph never pass through?

Accepted Answer

II

Answer

I

Answer

IV

Question 15

Use the equation below to answer the question.

$$f\left(x\right)=2^{3x-12}$$

-

Which equivalent equation is correctly matched with a key feature of the graph of the function it represents?

Accepted Answer

$$f\left(x\right)=2^{3x-12}$$ highlights that the point (4 , 1) is a solution to the function

Answer

$$f\left(x\right)=2^{3x-12}$$ highlights that the point (3 , 4) is a solution to the function

Answer

$$f\left(x\right)=2^{3x-12}$$ highlights that the point (3 , 8) is a solution to the function

Question 16

Marvin stands 8 feet from a mirror in which he can see the top of a tree of unknown height as shown.

-

Which statement uses correct reasoning to determine the height of the tree?

Accepted Answer

The height of the tree is 21 feet because the triangles are similar.

Answer

The height of the tree is 26 feet because the sides of the larger triangle are 20 feet longer than the

sides of the smaller triangle.

Answer

The height of the tree is $$37\frac{1}{3}$$ feet because the triangles are similar.

Answer

The height of the tree cannot be determined because the triangles are not congruent.

Question 17

Thomas is writing a report about the graduation rate of seniors at the local high schools. In 2012, he collected the following information:

* 227 seniors graduated from Westville High School.

* 112 seniors graduated at Centerville High School.

-

Select all additional information Thomas should obtain in order to determine the high school graduation rate.

Accepted Answer

the total number of seniors at Centerville High School

&

the total number of seniors at Westville High School

Answer

the total number of students at Centerville High School

&

the total number of students at Westville High School

Answer

the total number of students at Centerville High School

&

the total number of seniors at Westville High School

Answer

No additional information is needed.

SBAC Review Algebra 2

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