Quiz about Algebra Nation

Question 1

Appleseed, a tech company, spends a fixed cost of $1500 to manufacture the wristbands for their new Appleseed Watch, plus $100 per unit manufactured.

What is the slope of the line? What does the slope represent?

Accepted Answer

The slope is $100 which represents the cost per wristband.

Answer

The slope is $1500 which represents the initial fixed cost.

Answer

The slope is $100 which represents the initial fixed cost.

Answer

The slope is $1500 which represents the cost per wristband.

Question 2

Appleseed, a tech company, spends a fixed cost of $1500 to manufacture the wristbands for their new Appleseed Watch, plus $100 per unit manufactured.

What is the y-intercept of the line? What does the y-intercept represent?

Accepted Answer

The y-intercept is $1500 which represents the initial fixed cost.

Answer

The y-intercept is $100 which represents the initial fixed cost.

Answer

The y-intercept is $1500 which represents the cost per wristband.

Answer

The y-intercept is $100 which represents the cost per wristband.

Question 3

Consider the equation, 3x+4y=12. Write the equation in slope-intercept form.

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 4

Consider the equation, $$3x+4y=12$$ . Identify the y-intercept.

Accepted Answer

$$3$$

Answer

$$4$$

Answer

$$-\frac{3}{4}$$

Answer

$$-\frac{4}{3}$$

Question 5

Two sequences are shown on the graph below. Sequence A is modeled by the black points, and sequence B is modeled by the gray points.

Which sequence is arithmetic? Explain your reasoning.

Accepted Answer

Sequence A, because it follows a linear pattern

Answer

Sequence A, because it DOES NOT follow a linear pattern

Answer

Sequence B, because it follows a linear pattern

Answer

Sequence B, because it DOES NOT follow a linear pattern

Question 6

Two sequences are shown on the graph below. Sequence A is modeled by the black points, and sequence B is modeled by the gray points.

Determine the linear function for Sequence A.

Accepted Answer

$$f\left(x\right)=-4x+25$$

Answer

$$f\left(x\right)=25x-4$$

Answer

$$f\left(x\right)=4x-25$$

Answer

$$f\left(x\right)=-25x+4$$

Question 7

Consider the equation $$y=3x-1$$ . Identify the slope and y-intercept and sketch the graph.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 8

Math nation solves problems very __________.

Accepted Answer

Algebraically

Answer

Visually

Answer

Geometrically

Answer

Superstitiously

Question 9

Find the common ratio for the geometric sequence.

Accepted Answer

-1

Answer

1

Answer

7

Answer

-7

Question 10

Find the common ratio: 4, -16, 64, -256, ...

Accepted Answer

r = -4

Answer

r = 2

Answer

r = -2

Answer

r = 4

Question 11

Determine whether the sequence is arithmetic, geometric, or neither.

Accepted Answer

arithmetic

Answer

geometric

Answer

neither

Question 12

Is the pictured graph growth, decay, or linear or none?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

Question 13

What is the initial value of the situation represented by f(x)=0.05(2)^x?

Accepted Answer

0.05

Answer

2

Answer

0.1

Answer

1

Question 14

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

Accepted Answer

f(x) = 417(1.0375)^x

Answer

f(x) = 417(3.75)^x

Answer

f(x) = 417(0.0375)^x

Answer

f(x) = 417(1.375)^x

Question 15

What conclusions can be drawn from the graph?

Accepted Answer

The starting value of the car was $12,000.

Answer

The graph represents an exponential growth situation.

Answer

Eventually, the car will be worth exactly $0.

Answer

The value of the car decreases by the same amount each year.

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