Quiz about 1st Semester Ohio Algebra 1 End of Course Exam Questions

Question 1

Click on the image to see the question and multiple choice options.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 2

A group of students measures the distance a toy car has traveled after different amounts of time. A table of the data is shown. The students want to perform an analysis of the data set and consider removing the outlier point.

SELECT ALL OF THE QUANTITIES THAT WILL CHANGE IF THE OUTLIER POINT IS REMOVED FROM THE DATA SET.

HINT: Use DESMOS to determine the MEAN and MEDIAN of the data WITH and WITHOUT the OUTLIER!

TIME: 5,6,7,8,9,10,11,12,13,14,15

DISTANCE: 1,1.2,2.4,3.3,3.7,11,4.2,3.7,4.8,4.5,4.9

Accepted Answer

Mean of the DISTANCE

Accepted Answer

Range of the DISTANCE

Answer

Mean of the TIME

Answer

Median of the TIME

Answer

Median of the DISTANCE

Question 3

Which table represents $$y$$ as a function of $$x$$ ?

HINT: To be a "FUNCTION" - there can be NO REPEAT X-VALUES!

Accepted Answer

Question 4

Molly tracks the time and distance of her hike, expressing distance as a function of time on the graph shown.

What is the DOMAIN of the function?

HINT: DOMAIN refers to "x-values" for which the graph "exists"

Accepted Answer

$$0\le x\le4$$

Answer

$$0\le x\le10$$

Answer

$$0<x<10$$ , and $$x
e2$$

Answer

$$0<x<4$$ , and $$x
e2.5$$

Question 5

An equation is shown.

$$y=\frac{1}{2}x+\frac{3}{4}$$

Select all of the points that are contained in the graph of the equation.

HINT: The EQUATION and the (x,y) POINTS can be GRAPHED in the DESMOS calculator! See the image provided.

Accepted Answer

$$\left(0,\frac{3}{4}\right)$$

Accepted Answer

$$\left(\frac{1}{2},1\right)$$

Answer

$$\left(0,\frac{1}{2}\right)$$

Answer

$$\left(\frac{3}{4},0\right)$$

Answer

$$\left(\frac{3}{4},\frac{1}{2}\right)$$

Question 6

Look at the rulers shown in the image provided.

Which ruler will give the most accurate measurement for the length of a small object?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 7

A company makes two products, Product X and Product Y.

Product X costs $3.50 per unit to make.

Product Y costs $2.50 per unit to make.

The total costs to make the products must not exceed $3000 per week.

At least 1000 total units must be made each week.

Each week, the company manufactures $$x$$ units of Product X and $$y$$ units of Product Y.

Which set of inequalities represents the given constraints?

Accepted Answer

$$x+y\ge1000$$

$$3.5x+2.5y\le3000$$

Answer

$$x+y\ge1000$$

$$x+y\le3000$$

Answer

$$x+y\le1000$$

$$x+y\ge3000$$

Answer

$$x+y\le1000$$

$$3.5x+2.5y\ge3000$$

Question 8

Cindi sells three types of jewelry at a craft fair: rings, necklaces, and bracelets.

** Each type of jewelry costs the same amount of money to make.
** Cindi sells the three types of jewelry at three different prices.
** She pays a fee to sell jewelry at the craft fair.

The expression given represents the profit Cindi makes at the craft fair.

$$20t+25u+30v-7.5(t+u+v)-50$$

What does $$7.5$$ represent in this expression?

Accepted Answer

the cost of making a piece of jewelry

Answer

the total cost of making all the jewelry

Answer

the fee for selling jewelry at the craft fair

Answer

the profit earned from selling a piece of jewelry

Question 9

Data comparing the number of calories in chicken and beef sandwiches from different restaurants are displayed in the histograms shown. Which pair of box plots matches the data in the histograms?

HINT: Use the MINIMUM and MAXIMUM ranges to figure this out!...

Accepted Answer

Question 10

The set of ordered pairs representing a function is given.

$$\left(1,3\right),\ \left(2,4\right),\ \left(5,6\right)$$

Select all of the ordered pairs that could be included in the set so that it remains a function.

HINT: To be a FUNCTION, there can be NO REPEAT X-VALUES!

Accepted Answer

$$\left(3,4\right)$$

Accepted Answer

$$\left(4,4\right)$$

Accepted Answer

$$\left(6,8\right)$$

Answer

$$\left(2,2\right)$$

Answer

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

Question 11

Select all of the relations that represent a function.

Accepted Answer

Accepted Answer

Accepted Answer

Question 12

The function $$f\left(x\right)$$ is linear and has the following attributes:

a negative slope;
a Y-intercept of $$-4$$
Which of the following graphs could represent function $$f\left(x\right)$$ ?

Accepted Answer

Accepted Answer

Accepted Answer

Question 13

Which equation best describes the line of best fit?

HINT: Linear equations are $$y=mx+b$$ ,

$$y=\frac{rise}{run}\cdot x+y\ intercept$$

Accepted Answer

$$y=3x$$

Answer

$$y=\frac{1}{2}x$$

Answer

$$y=\frac{1}{3}x$$

Answer

$$y=2x$$

Question 14

Which graph represents the function $$f\left(x\right)=2x-1$$ ?

Accepted Answer

Question 15

A scatterplot is shown. Which linear function best fits the data?

HINT: Linear equations are $$y=mx+b$$ ,

$$y=\frac{rise}{run}\cdot x+y\ intercept$$

Accepted Answer

$$y=1.75x+3$$

Answer

$$y=3x+1.75$$

Answer

$$y=3x+3$$

Answer

$$y=1.75x$$

Question 16

Rafael drove 4 miles at an average speed of 40 miles per hour.

Which unit is most appropriate to describe the amount of TIME Rafael drove?

Accepted Answer

minutes

Answer

miles per hour

Answer

hours

Answer

miles

Question 17

Francine creates a bar graph showing

the distance between her city and each state capital city in the U.S.

What unit of measure would be an appropriate unit for Fancine to use to label her graph?

Accepted Answer

miles

Answer

centimeters

Answer

inches

Answer

meters

Question 18

An equation is given. Select the ordered pairs that represent points on the graph of the equation.

$$5y-2x=5$$

Accepted Answer

$$\left(0,1\right)$$

Accepted Answer

$$\left(-2.5,\ 0\right)$$

Answer

$$\left(1,0\right)$$

Answer

$$\left(0,\ -2.5\right)$$

Question 19

Michelle holds a small rock in her hand.

Density (D) can be found using the formula $$D=\frac{mass}{volume}$$ .

Which unit would be the most appropriate for calculating the density of the rock in Michelle's hand?

Accepted Answer

$$\frac{g}{cm^3}$$

Answer

$$\frac{lb}{mm^3}$$

Answer

$$\frac{kg}{m^3}$$

Answer

$$\frac{ton}{m^3}$$

Question 20

Select all of the correlation coefficients that represent a linear model with a weak correlation.

Accepted Answer

-0.102

Accepted Answer

0.204

Answer

-0.982

Answer

-0.618

Answer

0.907

Question 21

A town that had a population of 25,000 grew an average of 2,000 people per year over the last decade.

Which equation could represent an appropriate linear model of the population?

Accepted Answer

y = 2000x + 25000

Answer

y = 25000x + 2000

Answer

y = -25000x + 2000

Answer

y = -2000x + 25000

Question 22

Tim is sorting his book collection into groups. He places each group onto bookshelves that can hold a maximum of 25 pounds. His collection includes hardcover books that weigh 3 pounds each and softcover books that weigh 2 pounds each.

Select all of the possible numbers of hardcover books that could be on the bookshelf.

Accepted Answer

3

Accepted Answer

4

Accepted Answer

8

Answer

9

Answer

12

Question 23

The histogram shown displays the number of cans of food donated by students in the freshman class and the sophomore class at school.

Which statement is true?

Accepted Answer

The freshman class has A LESSER MEAN number of cans donated than the sophomore class.

Answer

The freshman class has THE SAME MEDIAN number of cans donated than the sophomore class.

Answer

The freshman class has A GREATER MEAN number of cans donated than the sophomore class.

Answer

The freshman class has A GREATER MEDIAN number of cans donated than the sophomore class.

Question 24

The graph of a function is shown. What is the domain of the function?

Accepted Answer

$$x\ge-4$$

Answer

$$x\ge-2$$

Answer

$$x\ge0$$

Answer

$$x\ge1$$

Question 25

An equation is given. $$A=4\ \pi\ r^2$$

ON PAPER, solve the equation for r (get r by itself).

Then, select the corresponding answer.

Accepted Answer

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

Answer

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

Answer

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

Answer

$$r=\frac{A}{2\ \pi}$$

Question 26

The equation shown is used to find the force of gravity, $$F$$ , between two objects,

where $$r$$ is the distance between them.

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

Which equation correctly shows the distance between the two objects?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 27

Which statistical measure changes when every number in a data set is increased by 10?

Accepted Answer

Mean

Answer

Range

Answer

Interquartile Range

Question 28

A store manager records the total visitors and sales, in dollars, for 10 days. The data are shown in the scatter plot.

What conclusion can the store manager draw based on the data?

Accepted Answer

An INCREASE in visitors is correlated with an INCREASE in sales.

Answer

An increase in sales CAUSES a decrease in visitors.

Answer

An increase in visitors CAUSES an increase in sales.

Answer

An INCREASE in sales is correlated with a DECREASE in visitors

Question 29

Bryson collects data on the depth of a river at various points and the velocity of the river at those points. His data have a correlation coefficient of $$-0.9382$$ .

Which scatterplot could represent Bryson's data?

HINT: Which graph shows a STRONG, NEGATIVE trend?

Accepted Answer

Question 30

Which graph represents a FUNCTION whose DOMAIN is the set of NON-NEGATIVE real numbers?

Accepted Answer

1st Semester Ohio Algebra 1 End of Course Exam Questions

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