Free Printable Algebra 1 EOC Review/Practice

1.

Find the slope of the line: 2y = 8x – 3

a)

4

b)

-3

c)

-3/2

d)

1/4

2.

Write an expression which represents the area of a rectangle with sides measuring $2x^2y^4z$ units and
$5xy^4z^3$ units.

a)

$7x^2y^{16}z^3$

b)

$7x^3y^8z^4$

c)

$10x^2y^{16}z^3$

d)

$10x^3y^8z^4$

3.

Which inequality best describes the graph shown below?

a)

$y>-\frac{3}{4}x+5$

b)

$y<-\frac{3}{4}x+5$

c)

$y<-\frac{4}{3}x+5$

d)

$y>-\frac{4}{3}x+5$

4.

$Simplify:\ \ \frac{35w^6+20w^4}{5w^2}$

a)

$7w^8+4w^6$

b)

$7w^4+4w^2$

c)

$3ow^4+15w^2$

d)

$7w+4w^3$

5.

Which inequality best represents the range of the linear function above?

a)

$-9\ \le\ x\ <\ 2$

b)

$-6\ <\ y\ \le\ 3$

c)

$-6\ \le\ y\ <\ 3$

d)

$-9\ <\ x\ \le\ 2$

6.

Given the value $y=\frac{1}{4}x^2-11$ what is the value of y when $x\ =-\ 8?$

a)

5

b)

- 27

c)

21

d)

- 3

7.

The graph of the function $y\ =\ \frac{1}{2}x-3$ is shown above. If the line is translated 2 units up, which equation will best describe the new line?

a)

$y=\frac{1}{2}x-5$

b)

$y=\frac{1}{2}x\ +\ 5$

c)

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

d)

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

8.

What is the slope?

a)

m= -2/3

b)

m=3/2

c)

m=-3

d)

m=2

9.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, 20)

c)

(3, 5)

d)

(0, -2)

10.

Find the difference.
(3 - 2x + 2x²) - (4x - 5 + 3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

11.

Which is a zero of the graph?

a)

0

b)

-1

c)

1.5

d)

-3

12.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

13.

Which function is represented by the following equation.

y = 3^x

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the Above

14.

Simplify the expression
(x - 3)²

a)

x² - 6x + 9

b)

x² + 9

c)

x² + 6x - 9

d)

x² + 6x + 9

15.

What is the value of f(0)?

a)

-2

b)

2

c)

4

d)

0

16.

Which of the following statements about closure is NOT true?

a)

Polynomials are closed under addition.

b)

Polynomials are closed under subtraction.

c)

Polynomials are closed under multiplication.

d)

Polynomials are closed under division.

17.

Find the zeros of this quadratic.

a)

b=4/5, b=3

b)

b=4, b=-3

c)

b=1/5, b=3

d)

b=4/5, b=-3

18.

An ice cream shop was doing research on its sales. The results showed that the relationship between the average daily temperature in Fahrenheit, t, and the daily ice cream profit in dollars, t, could be modeled by the equation c = 17.6t − 721.6. According to the model, which of the following temperatures to the nearest tenth of a degree would make the ice cream shop have a positive profit?

a)

17.6^oF

b)

35.2^oF

c)

41.0^oF

d)

72.2^oF

19.

Based on the information provided, which statement explains why his solution is incorrect?

a)

He forgot to multiply x by 2 in Step 1.

b)

He added x to both sides of the equation in Step 2 instead of subtracting x.

c)

He added 1 on both sides of the equation in Step 3 instead of subtracting 1

d)

He multiplied by the reciprocal of 3 to get x = 2 in Step 4.

20.

Which expression is equivalent to (7x³)² (x⁸)^1/2?

a)

14x¹⁰

b)

49x¹⁰

c)

14x⁷

d)

49x⁷

21.

a)

b)

c)

d)

22.

What does the number 1,024 stand for?

a)

Decay Factor

b)

Growth Rate

c)

Percent

d)

Starting Value

23.

What is the correct function?

a)

A

b)

B

c)

C

d)

D

24.

What is causation?

a)

The tendency for two variables to change together or in opposite ways

b)

A set of data with two variables

c)

When the change in one quantity causes the change in another

25.

In the equation f(x)=a(b)^x, what is b called when b>1?

a)

Growth Rate (increase)

b)

Decay Factor (decrease)

26.

(Hint: Compare the values in your calculator!)

a)

A

b)

B

c)

C

d)

D

27.

a)

F

b)

G

c)

H

d)

J

28.

Find the 8th term in the sequence

3, 5, 7, 9, 11, ...

a)

12

b)

15

c)

17

d)

18

29.

What is the explicit function for:
4, 7, 10, 13...

a)

f(n)=4(n-1)+3

b)

f(n)=3(n-1)+4

c)

f(n)=4(n-1)+13

d)

none of the above

30.

a)

a

b)

b

c)

c

d)

d

31.

a)

a

b)

b

c)

c

d)

d

32.

a)

a

b)

b

c)

c

d)

d

33.

a)

a

b)

b

c)

c

d)

d

34.

a)

b)

c)

d)

35.

4³⋅4² = ?

a)

4⁵

b)

4⁶

c)

16⁵

d)

16⁶

36.

Which expression is equivalent to $24x^2-22x+5$ ?

a)

$\left(12x+5\right)\left(2x+1\right)$

b)

$\left(8x-5\right)\left(3x-1\right)$

c)

$\left(12x-5\right)\left(2x-1\right)$

d)

$\left(8x+5\right)\left(3x+1\right)$

37.

a)

F

b)

G

c)

H

d)

J

38.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

39.

a)

y≥x−1

b)

y≤x−1

c)

y>x−1

d)

y≤x+1

40.

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

41.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

42.

What does "a" control in a graph of f(x) = ax²+ bx+ c?

a)

Opens up or down

b)

Where the graph crosses at X-intercept

c)

Where the graph crosses at Y-intercept

43.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

44.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

45.

Evaluate each expression.
| x + 9 | = -5

a)

-14

b)

-4

c)

{-14, -4}

d)

no solution

46.

A turning point where the function was decreasing (going down) and changes to increasing (going up)

a)

maximum

b)

minimum

c)

vertex

d)

domain

47.

A turning point where the function was increasing (going up) and changes to decreasing (going down)

a)

maximum

b)

minimum

c)

vertex

d)

domain

48.

Caiden earned $475 from mowing lawns last summer.He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?

a)

$827.52 (Mr. Williams)

b)

$831.10 (Mrs. Hoch)

c)

$839.45 (Mr. Krajunus)

d)

$846.80 (Ms. Palombo)

49.

x < -2 or x ≥ 1

Which is the correct interval notation?

a)

(-∞,2] or (-1,∞)

b)

(-2,1]

c)

(-∞,-2) or [1,∞)

50.

Which is the inequality that represents |h - 3| < 5

a)

-2 < h < 8

b)

3 < h < 5

c)

-2 < h < 5

d)

3 < h < 2

51.

Simplify

\sqrt{24}

a)

$4\sqrt{6}$

b)

$2\sqrt{6}$

c)

$6\sqrt{2}$

d)

$6\sqrt{4}$

52.

Write in exponential form
∛x⁷

a)

x⁷∕ ³

b)

x3⁄7

c)

3x⁷

d)

7x³

53.

Describe the correlation coefficient if

r = 0.90

a)

Positive, weak

b)

Positive, strong

c)

Negative, weak

d)

Negative, strong

54.

(6x⁹y⁵)²

a)

6x¹⁸y¹⁰

b)

36x¹¹y⁷

c)

6x¹¹y⁷

d)

36x¹⁸y¹⁰

55.

Parallel lines have slopes that are...

a)

reciprocals

b)

opposite reciprocals

c)

the same

d)

opposites

56.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

57.

Which line(s) are parallel to y=3x+1

a)

y= -3x -1

b)

y=-1/3+3

c)

y=3x

d)

None of them

Algebra 1 EOC Review/Practice

Total questions: 57

Worksheet time: 2hrs 52mins

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