Free Printable Algebra 1 EOC Review 1

Worksheets

Algebra 1 EOC Review 1

Total questions: 20

Worksheet time: 30mins

Name

Class

Date

Which of the following expressions shows the complete factorization of 6x² y² – 9xy – 42?

3(2xy² – 7)(xy² + 2)

(3xy + 6)(2xy – 7)

3(2xy – 7)(xy + 2)

(3xy² + 6)(2xy² – 7)

The formula for the area of a circle is A = πr² . Which equation shows the formula in terms of r?

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

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

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

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

An object is thrown into the air with an initial velocity of 5 m/s from a height of 9 m. The equation h(t) = –4.9t² + 5t + 9 models the height of the object in meters after t seconds.

About how many seconds does it take for the object to hit the ground? Round your answer to the nearest tenth of a second.

0.9

1.5

2.0

9.0

Plot the vertex and zeroes of the function $f\left(x\right)=-x^2-12x-35$

A café’s annual income depends on x, the number of customers. The function I(x) = 4x² – 20x describes the café’s total annual income. The function C(x) = 2x² + 5 describes the total amount the café spends in a year. The café’s annual profit, P(x), is the difference between the annual income and the amount spent in a year.

Which function describes P(x)?

P(x) = 2x² – 20x – 5

P(x) = 4x³ – 20x²

P(x) = 6x² – 20x + 5

P(x) = 8x⁴ – 40x³ – 20x² – 100x

To rent a canoe, the cost is $3 for the oars and life preserver, plus $5 an hour for the canoe. Which graph models the cost of renting a canoe?

Use the drag and drop feature to determine if the solutions to the following equation are rational or irrational

Rational (a)

Irrational (b)

Choose from the below words

$x^2-11\ +4x=\ 5x+5-x$

$x^2+9=11$

$3x+7=5x-7-2x$

$x^2+14\ +x\ =\ x^2+x-1$

$5x+3+x=2x-11+4x$

A model of a house is shown.

Which of the following expressions represents the perimeter of the model shown?

32x + 12

46x + 25

50x + 11

64x + 24

Which of the following binomials is a factor of 56x² + 3x - 20?

15x + 1

30x + 2

7x - 4

8x - 5

10.

A certain population of bacteria has an average growth rate of 2%. The formula for the growth of the bacteria’s population is A = P₀ ∙ 1.02^t , where P₀ is the original population and t is the time in hours.

If you begin with 200 bacteria, about how many bacteria will there be after 100 hours?

272

1,449

20,000

11.

Which function represents this sequence?

f(n) = 3^{n – 1}

f(n) = 6^{n – 1}

f(n) = 3(6^{n – 1})

f(n) = 6(3^{n – 1})

12.

The points (0, 1), (1, 5), (2, 25), and (3, 125) are on the graph of a function. Which equation represents that function?

f(x) = 2^x

f(x) = 3^x

f(x) = 4^x

f(x) = 5^x

13.

A population of squirrels doubles every year. Initially, there were 5 squirrels. A biologist studying the squirrels created a function to model their population growth: P(t) = 5(2^t), where t is the time in years. The graph of the function is shown.

Which values best describe the range of the population?

any real number

any whole number greater than 0

any whole number greater than 5

any whole number greater than or equal to 5

14.

The expression –x² + 70x – 600 represents a company’s profit for selling x items. For which number(s) of items sold is the company’s profit equal to $0?

0 items

35 items

10 items and 60 items

20 items and 30 items

15.

Which statement compares the graphs of f(x) and g(x) over the interval [0, 5]?

The graph of f(x) always exceeds the graph of g(x) over the interval [0, 5].

The graph of g(x) always exceeds the graph of f(x) over the interval [0, 5].

The graph of g(x) exceeds the graph of f(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of f(x) exceeds the graph of g(x).

The graph of f(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of g(x) exceeds the graph of f(x).

16.

Consider this function for cell duplication. The cells duplicate every minute.

f(x) = 75(2)^x

The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.

The 75 is the initial number of cells, and the 2 indicates that the number of cells increases by 2 every minute.

The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells doubles every minute

The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells increases by 2 every minute.

17.

$\frac{m}{15-5}=\frac{m}{15\ +\ 5}+0.5$

A ferry boat carries passengers back and forth between two communities on the Peachville River. *It takes 30 minutes longer for the ferry to make the trip upstream than downstream. *The ferry's average speed in still water is 15 miles per hour. *The river's current is usually 5 miles per hour. The equation can be used to determine how many miles apart the two communities are. What is m, the distance between the two communities?

0.5 mile

5 miles

10 miles

15 miles

18.

$\frac{2}{3}+\frac{x}{3}>1$

For what values of x is the inequality true?

x < 1

x > 1

x < 5

x > 5

19.

A manager is comparing the cost of buying baseball caps from two different companies.

• Company X charges a $50 fee plus $7 per baseball cap.

• Company Y charges a $30 fee plus $9 per baseball cap.

For what number of baseball caps will the cost be the same at both companies?

100

20.

Camron is comparing two functions. The one represented in the table and the equation $y=x+5$ .

The initial value represented in the table is (a) the initial value represented by the equation. The rate of change represented in the equation is (b) the rate of change represented in the table

Choose from the below words

less than

greater than

the same as

100 %

Algebra 1 EOC Review 1

Total questions: 20

Worksheet time: 30mins

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