Quiz about Algebra 1-2R Final Exam Review

Question 1

Which expression represents "six is at least 4 more than a number"?

Accepted Answer

$$6\le n+4$$

Answer

$$6\ge n+4$$

Answer

$$4\le n+6$$

Answer

$$4\ge n+6$$

Question 2

Describe the function. $$y=2\left(\frac{1}{3}\right)^x$$

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear

Answer

Quadratic

Question 3

Which is the graph of $$-3x+3\ge-9$$

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 4

Which inequality represents the graph?

Accepted Answer

$$y<-3x+4$$

Answer

$$y>-3x+4$$

Answer

$$y>3x-4$$

Answer

$$y<-3x-4$$

Question 5

What system of inequalities is represented by the graph?

Accepted Answer

$$y\ge1x+1$$

$$y<1$$

Answer

$$y>x+1$$

$$x<1$$

Answer

$$y\le1x-1$$

$$y<1$$

Answer

$$y<-1x+1$$

$$y<1$$

Question 6

Which graph and solution corresponds to the following system of equations? $$y=-5x-2$$

$$y+2=-5x$$

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 7

What does the graph of an exponential growth look like?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 8

Simplify $$7x^{-8}\cdot6x^3$$

Accepted Answer

$$\frac{42}{x^5}$$

Answer

$$\frac{1}{42x^5}$$

Answer

$$42x^{11}$$

Answer

$$13x^{-5}$$

Question 9

Simplify $$\left(3w^2\right)^4$$

Accepted Answer

$$81w^8$$

Answer

$$3w^{16}$$

Answer

$$3w^8$$

Answer

$$81w^6$$

Question 10

Simplify $$\frac{c^8d^{-12}}{c^{-4}d^{-8}}$$

Accepted Answer

$$\frac{c^{12}}{d^4}$$

Answer

$$c^{12}d^4$$

Answer

$$c^{-4}d^{-4}$$

Answer

$$\frac{c^{-4}}{d^{-12}}$$

Question 11

Simplify $$\left(3xy\right)^0$$

Accepted Answer

1

Answer

0

Answer

xy

Answer

Can't have zero as an exponent

Question 12

Simplify $$-2x^{-3}$$

Accepted Answer

$$-\frac{2}{x^3}$$

Answer

$$\frac{1}{2x^3}$$

Answer

$$\frac{1}{-2x^3}$$

Answer

$$-\frac{8}{x^3}$$

Question 13

In 1985 an antique automobile club had 23,000 members. Since then its membership has grown at an average rate of 5% per year. Assuming this trend continues, how many members will there be in 2020? Round to the nearest thousand.

Accepted Answer

127,000

Answer

112,000

Answer

78,000

Answer

151,000

Question 14

A car sells for $25,000. If the rate of depreciation is 15%, what is the value of the car after 7 years? Round to the nearest hundred.

Accepted Answer

$8000

Answer

$9400

Answer

$7400

Answer

$9800

Question 15

You have $45 to spend on music downloads and movie downloads. Each music download costs $6 and each movie download costs $9. Write a linear inequality that represents this situation. Let x represent the number of music downloads and y the number of movie downloads.

Accepted Answer

$$6x+9y\le45$$

Answer

$$6x+9y\ge45$$

Answer

$$9x+6y\le45$$

Answer

$$9x+6y\ge45$$

Question 16

Choose the solution of the compound inequality $$7<2x-3\le11$$

Accepted Answer

$$5<x\le7$$

Answer

$$5>x\ge7$$

Answer

$$8<x\le12$$

Answer

$$2>x\le4$$

Question 17

What are the solutions of the following compound inequality? $$x-6\le-5\ or\ -4x\le-36$$

Accepted Answer

$$x\le1\ or\ x\ge9$$

Answer

$$x\le-11\ or\ x\le9$$

Answer

No solution

Answer

$$x\le1\ or\ x\le9$$

Question 18

How many solutions does the system have?

$$x-2y=6$$

$$3x-6y=18$$

Accepted Answer

Infinitely many solutions

Answer

One solution

Answer

Two solutions

Answer

No solution

Question 19

Solve the inequality $$6y-8>4y+46$$

Accepted Answer

$$y>27$$

Answer

$$y>-9$$

Answer

$$y>-27$$

Answer

$$y>9$$

Question 20

Solve the inequality $$3\left(2d-1\right)>4\left(2d-3\right)-3$$

Accepted Answer

$$d<6$$

Answer

$$d>9$$

Answer

$$d<-6$$

Answer

$$d>3$$

Question 21

Solve the system of equations

$$x=y+2$$

$$5x+y=-20$$

Accepted Answer

$$\left(-3,-5\right)$$

Answer

$$\left(7,5\right)$$

Answer

$$\left(3,1\right)$$

Answer

$$\left(1,-1\right)$$

Question 22

What is the best method to solving the system of equations?

$$-9x+4y=-12$$

$$3x-8y=24$$

Accepted Answer

Elimination

Answer

Graphing

Answer

Substitution

Answer

No Solutiohn

Question 23

Which system of equations represents the following word problem? A store sells two kinds of baked goods: cakes and pies. A cake costs $14 and a pie costs $8. In one day, the store sold 12 baked goods for a total of $144.

Accepted Answer

$$14x+8y=144$$ $$x+y=12$$

Answer

$$x+y=144$$

$$14x+8y=12$$

Answer

$$14x-8y=144$$ $$x-y=12$$

Answer

$$x-y=144$$

$$14x-8y=12$$

Question 24

Which system of equations represents the following word problem? The sum of the measures of angles x and y is 180 degrees. The measure of angle x is 24 degrees greater than the measure of angle y.

Accepted Answer

$$x+y=180$$

$$x=24+y$$

Answer

$$x-y=180$$

$$x=24+y$$

Answer

$$x+y=180$$

$$y=24+x$$

Answer

$$x-y=180$$

$$x+y=24$$

Question 25

What ordered pair is a solution?

Accepted Answer

(4,8)

Answer

(0,1)

Answer

(-6,-5)

Answer

(6,-2)

Question 26

What ordered pair is a solution?

Accepted Answer

(8,6)

Answer

(-1,-2)

Answer

(1,4)

Answer

(-6,-1)

Question 27

What is an ordered pair on the graph of the exponential function $$y=2^x$$ ?

Accepted Answer

(2,4)

Answer

(0,2)

Answer

(0,0)

Answer

(1/4,-2)

Question 28

Is the point (-2,3) a solution to the linear inequality $$2x+3y>6$$ ?

Accepted Answer

No

Answer

Yes

Question 29

Determine whether the equation is a linear function or exponential function: $$y=2x+7$$

Accepted Answer

Linear Function

Answer

Exponential Function

Question 30

Determine whether the equation is a linear function or exponential function: $$y=4^x$$

Accepted Answer

Exponential Function

Answer

Linear Function

Question 31

Determine whether the equation is a linear function or exponential function: $$y=4x$$

Accepted Answer

Linear function

Answer

Exponential Function

Question 32

Determine whether the equation is a linear function or exponential function: $$y=4\left(\frac{4}{3}\right)^x$$

Accepted Answer

Exponential function

Answer

Linear function

Question 33

Taro and Jamie are solving $$6d\ge-84$$ . Who is correct?

Accepted Answer

Taro

Answer

Jamie

Answer

Neither

Question 34

Is the coordinate point (-3,0) a solution of the system of inequalities?

Accepted Answer

Yes

Answer

No

Question 35

What is the area of the rectangle?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 36

What is the perimeter of the rectangle?

Accepted Answer

$$6x+4$$

Answer

$$3x+2$$

Answer

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

Answer

$$9x^2+12x+4$$

Question 37

What is the classification of the following polynomial: $$3x^2+x-10$$

Accepted Answer

Quadratic Trinomial

Answer

Quadratic Binomial

Answer

Linear Monomial

Answer

Quartic Polynomial

Question 38

Simplify the following expression: $$\left(5x^2-3\right)+\left(2x^2-3x^3\right)$$

Accepted Answer

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

Answer

$$10x^4-15x^5-6x^2+9x^3$$

Answer

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

Answer

$$-3x^3+7x^4-3$$

Question 39

Simplify the following expression $$6x\left(2x+3\right)$$

Accepted Answer

$$12x^2+18x$$

Answer

$$8x+3$$

Answer

$$12x+18$$

Answer

$$11x$$

Question 40

Simplify the following expression: $$\left(2n+2\right)\left(6n+1\right)$$

Accepted Answer

$$12n^2+14n+2$$

Answer

$$12n^2+12n+1$$

Answer

$$26n+2$$

Answer

$$12n^2-14n-2$$

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