Free Printable Semester 2 Algebra Review

1.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

2.

Which of the following equations is in vertex form?

a)

f(x) = x² + 6x - 2

b)

f(x) = (x - 1)² + 2

3.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

4.

Which of the following forms are best to use if we want to identify the vertex of a quadratic equation?

a)

Standard Form

b)

Vertex Form

c)

Intercept Form

5.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

6.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

7.

Determine the vertex of the parabola y=5(x-2)²–7

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

8.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

9.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

10.

What do we call the highest or lowest point of a quadratic?

a)

parabola

b)

vertex

c)

graph

d)

point

11.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

12.

The U-Shaped graph of a quadratic function is called a?

a)

Marabola

b)

X-value

c)

Parabola

d)

Height

13.

What is the domain of the function?

a)

All Real Numbers

b)

-3 ≤ x ≤ 1

c)

y ≥ 4

d)

y ≤ 4

14.

Does y = -4x² have a maximum or minimum value?

a)

maximum

b)

minimum

15.

Does the equation open or or down?
Y = -3x² +7x - 2

a)

up

b)

down

16.

The solutions of a quadratic equation are known as the _____.

a)

Vertices

b)

Roots

c)

Squares

d)

Formulas

17.

What is the axis of symmetry?

a)

the slope of the graph

b)

the dividing line for a parabola

c)

a way to spin my pencil

d)

the x-axis

18.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

19.

What shifts have occurred?

a)

left 1, up 5

b)

left 1, down 5

c)

right 1, down 5

d)

right 1, up 5

20.

What is the vertex of...

a)

(4,-3)

b)

(-4,3)

c)

(-4,-3)

d)

(4,3)

21.

What is the domain of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

22.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

23.

Name the parent function.

a)

square root

b)

quadratic

c)

cubic

d)

exponential

24.

Name the parent function.

a)

linear

b)

quadratic

c)

absolute value

d)

cubic

25.

Name the parent function.

a)

cube root

b)

quadratic

c)

cubic

d)

square root

26.

Name the parent function.

a)

linear

b)

quadratic

c)

cubic

d)

logarithmic

27.

Name the parent function.

a)

cube root

b)

square root

c)

cubic

d)

squiggly

28.

Name the parent function.

a)

linear

b)

constant

c)

absolute value

d)

quadratic

29.

What type of function is shown?

a)

cube root

b)

square root

c)

logarithm

d)

exponential

30.

Name the parent function.

a)

cube root

b)

square root

c)

quadratic

d)

linear

31.

Name the parent function.

a)

linear

b)

quadratic

c)

cubic

d)

logarithmic

32.

Select all the equations that represent exponential decay.

a)

$y=\frac{1}{2}\left(4\right)^x$

b)

$y=4\left(\frac{1}{2}\right)^x$

c)

$y=80\left(1.4\right)^x$

d)

$y=60\left(0.7\right)^x$

e)

$y=3\left(0.6\right)^x$

33.

Growth or Decay?

$y=1200\left(1+0.03\right)^t$

a)

Growth

b)

Decay

34.

a)

This function is an example of exponential growth.

b)

This function has a y-intercept at (0, 200).

c)

The growth factor for this function is 4.

d)

The range for this function is y > 0.

35.

If you have $10, and your money doubles every year, how much money will you have in 10 years?

a)

$50

b)

$100

c)

$5120

d)

$10240

36.

Penicillin decays exponentially in the human body. Suppose you receive a 300-milligram dose of penicillin to combat strep throat. About 180 milligrams will remain active in your body after 1 day. Which equation represents the amount of penicillin remaining in your body?

a)

$y=300\left(0.6\right)^x$

b)

$y=300\left(1.6\right)^x$

c)

$y=300\left(1.67\right)^x$

d)

$y=300\left(0.4\right)^x$

37.

Which of the following has a ratio of 2? (select all that apply)

a)

b)

c)

d)

38.

What is the horizontal asymptote for the graph of

f(x)=13(0.5)^x-6?

a)

y=0.5

b)

y=13

c)

y=6

d)

y=0

e)

none of the answer choices

39.

Is the pictured graph increasing, decreasing, or neither?

a)

Increasing

b)

Decreasing

c)

Neither

40.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

41.

a)

x²+6x-16

b)

x²+10x-16

c)

x²+6x+16

d)

x²-6x-16

42.

a)

5x²+16x+8

b)

6x²+12x+8

c)

6x²+16x+6

d)

6x²+16x+8

43.

a)

x²+x-20

b)

x²-x-20

c)

x²-9x-20

d)

x²-x+20

44.

Find the equivalent expression

(2x-4)(2x+4)

a)

$2x^2+8x+16$

b)

$4x^2+16x-16$

c)

$x^2-16$

d)

$4x^2-16$

45.

What does the L in FOIL stand for?

a)

Lanni

b)

left

c)

less

d)

last

46.

Using the Zero-Product Property find the solutions

to this quadratic equation in factored form: (x + 4)(x − 3) = 0

a)

x = 4 and x = −3

b)

x = 2 and x = 1

c)

x = −4 and x = 3

d)

x = −2 and x = 1

47.

Find the area of the rectangle.

a)

9x² - 2x

b)

9x² - 2

c)

10x - 2

d)

20x - 4

48.

What are the x - intercepts (solutions)?

a)

x = 0 and x = 8

b)

x = -2 and x = -4

c)

x = 3 and x = -1

d)

x = 2 and x = 4

49.

Which quadratic equation below has solutions of x = -2 and x = 3 ?

a)

$x^2+2x-6=0$

b)

$x^2-x-6=0$

c)

$x^2-x+6=0$

d)

$x^2-5x-6=0$

e)

$x^2-5x+6=0$

50.

What are the x-intercepts? (check all that apply)

a)

none

b)

(8,-1)

c)

(1,0)

d)

(-3,0)

51.

What are the x-intercepts of

y= x²- 9x + 14 ?

a)

(-7,0) and (-2,0)

b)

(7,0) and (-2,0)

c)

(7,0) and (2,0)

d)

(9,0) and (-14,0)

52.

Shift f(x)=x² three units to the left and 4 units down

a)

f(x)=(x+3)²-4

b)

f(x)=(x-3)²-4

c)

f(x)=(x+4)²-3

d)

f(x)=(x-4)²-3

53.

Find the decreasing interval

a)

(infinity, -2)

b)

(-infinity, 2)

c)

(2, infinity)

d)

(-2, infinity)

54.

Graph y = x²+ 2x-11

55.

Find the value of x using the quadratic formula, if a=1, b=2, c=-3.

a)

-1 & -3

b)

1 & 4

c)

-1 & 3

d)

1 & -3

56.

What is this formula?

a)

This is the standard formula.

b)

This is the quadratic formula.

c)

This is the square root formula.

d)

This is the Pythagorean formula

57.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

58.

Find the value of x using the quadratic formula, if a=1, b=4, and c=3.

a)

1 & 3

b)

-1 & 3

c)

-1 & -3

d)

1 & -3

59.

Find the value of x using the quadratic formula, if a=1, b=-5, and c=-14.

a)

x=7 & -1

b)

x=7 & -2

c)

x=-7 & -1

d)

x=7 & 2

60.

$8a^2-6=-78$

Enter your answers separated by a comma (Ex. -5,5). If your answer contains a square root, use "sqrt()" as the square root symbol (Ex. 4sqrt(6) is $4\sqrt[]{6}$ ) If there is no real solution, type "no real solution."

(a)

61.

What are the solutions $\left(x+3\right)^2-13=0$ using the square root method?

a)

$x=-3\pm\sqrt[]{13}$

b)

$x=3\pm\sqrt[]{13}$

c)

$x=-3\pm\sqrt[]{-13}$

d)

$x=-3-\sqrt[]{13}$

62.

a)

A

b)

B

c)

C

d)

D

63.

What are the solutions to $\left(x-6\right)^2=31$ using the square root method?

a)

A.

$x=6\pm\sqrt[]{31}$

b)

B.

$-6\pm\sqrt[]{31}$

c)

C.

$12\pm\sqrt[]{31}$

d)

D.

$x=-12\sqrt[]{31}$

64.

a)

a. x = 5.5

b)

b. x = 0.5

c)

c. x = 2.5

d)

d. x = 7.5

65.

a)

a. The equation will have two negative solutions.

b)

b. One of the solutions is x = -3.

c)

c. One of the solutions is x = -6.5.

d)

d. All of the above are true.

Semester 2 Algebra Review

Total questions: 65

Worksheet time: 2hrs 34mins

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