Free Printable A1 Unit 3 Test 2 Study Guide

1.

The area of a playground is 336 yd2 . The width of the playground is 5 yd longer than its length. Find the length and width of the playground

a)

length = 26 yd, width = 21 yd

b)

length = 21 yd, width = 26 yd

c)

length = 21 yd, width = 16 yd

d)

length = 16 yd, width = 21 yd

2.

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t²+ 90t gives the height h of the ball after t seconds.
What is the maximum height of the ball?

a)

126.56 ft

b)

5.625 sec

c)

2.81 sec

d)

90 ft

3.

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t²+ 90t gives the height h of the ball after t seconds.
How many seconds will it take the ball to hit the ground?

a)

126.56 ft

b)

5.625 sec

c)

2.81 sec

d)

0 ft

4.

A lizard is jumping across the water in search of food. The equation h = -12t² + 6t models the lizard's height in feet above the water t seconds after he jumps. How long after jumping is he back on the water?

a)

0.1 seconds

b)

0.25 seconds

c)

0.50 seconds

d)

0.75 seconds

e)

1 second

5.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

6.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

7.

A parabola is concave down when a is:

a)

negative

b)

positive

c)

0

d)

infinite

8.

Given the equation: y = -(x - 4)²- 3,

does this parabola have a maximum or minimum value?

a)

Maximum

b)

Minimum

9.

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)

10.

$y=-5(x+2)^2-10$
Convert the equation from vertex form to standard form.

a)

y = -5x²- 20x - 30

b)

y = -5x²- 4x - 10

c)

y = 25x² + 100x + 90

d)

y = 25x² - 10x - 30

11.

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

a)

f(x) = (x + 6)² + 142

b)

f(x) = (x + 6)² - 34

c)

f(x) = (x + 6)² - 38

d)

f(x) = (x + 6)² + 34

12.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

13.

What is the "formula" for finding the axis of symmetry?

a)

$y=ax^2+bx+c$

b)

$x=\frac{-b}{2a}$

c)

$y=mx+b$

d)

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

14.

What is the vertex?

a)

(4,-4)

b)

(2,0)

c)

(0,2)

d)

(6,0)

15.

Using the graph of the quadratic function, identify the domain.

a)

y > -6

b)

-2 < x < 10

c)

-∞ < x < ∞

d)

y < -6

16.

Which of the following graphs appropriately marks the axis of symmetry?

a)

b)

c)

d)

17.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

18.

Use the graph to determine the solutions.
*Hint: Solutions = roots = zeros = x-intercepts

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

19.

The point in which a graph hits the x-axis is know as the _____

a)

Solution

b)

x-intercept

c)

Root

d)

All answers are correct

20.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

21.

What is the range of this quadratic function?

a)

All real numbers.

b)

All real numbers greater than or equal to 2.

c)

All real numbers greater than or equal to 4.

d)

All real numbers less than or equal to 4.

22.

Which answer choice describes
y = -3x² +7x - 2 accurately?

a)

opens up with a maximum

b)

opens up with a minimum

c)

opens down with a maximum

d)

opens down with a minimum

23.

.How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

24.

What are the roots of the function
f(x)= (x - 2)(x + 3)?

a)

x = - 2 or x = 3

b)

x = 2 or x = -3

c)

The are no real roots

d)

x = 2 or x = 3

25.

Where is the function decreasing?

a)

(-∞, -1)

b)

(-1, ∞)

c)

(-∞, 3)

d)

(-∞, ∞)

26.

What is the interval of increase?

a)

$-0.5<x<3$

b)

$-\infty<x<3$

c)

$-\infty<x<4$

d)

$1<x<5$

27.

What is the interval of decrease?

a)

$4\le x<\infty$

b)

$-\infty<x<\infty$

c)

$3\le x<\infty$

d)

$3<x<\infty$

28.

What is the interval of increase?

a)

$-\infty<x<\infty$

b)

$-1<x<5$

c)

$2<x<5$

d)

$2<x<\infty$

29.

Describe the end behavior of the graph.

a)

x → ∞, y→ ∞ and
x→ ∞, y→⁻∞

b)

x → ∞, y→ ∞ and
x→⁻∞, y→∞

c)

None of these

d)

x →∞,y→⁻∞ and
x→∞, y→⁻∞

30.

Describe the end behavior of the graph.

a)

x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

b)

x →∞, y→∞ and x→⁻∞, y→∞

c)

x →∞, y→∞ and x→⁻∞, y→0

d)

x →∞,y→∞ and x→⁻∞, y→⁻∞

31.

Use the given function or the graph to find the average rate of change

a)

3

b)

-3

c)

3/2

d)

-1/3

32.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

33.

What is the average rate of change from x=0 to x=1

a)

-3

b)

3

c)

0

d)

2

34.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

35.

Tammy solved the equation $x^2-x-12=0$
Select the factors of $x^2-x-12$

a)

(x+3)(x+4)

b)

(x-3)(x-4)

c)

(x+6)(x-2)

d)

(x-6)(x+2)

e)

(x+3)(x-4)

36.

Which of the following is the Factored Form of a quadratic function?

a)

f(x) = mx + b

b)

f(x) = ax² + bx + c

c)

f(x) = a(x - m)(x - n)

d)

f(x) = a(x - h)² + k

37.

What are the x-intercepts of the parabola?

y = -3(x + 5)(x - 9)

a)

(-5, 0) and (9, 0)

b)

(5,0) and (-9, 0)

c)

(5, 0) and (9, 0)

d)

(-3, 0) and (5, 0)and (-9, 0)

38.

What is the equation of this graph?

a)

f(x) = (x -5)² + 1

b)

f(x) = (x - 1)² - 5

c)

f(x) = (x + 1)² - 5

d)

f(x) = (x + 5)² +1

39.

Simplify 5(2 - 7n)

a)

52 - 7n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

40.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

41.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

42.

How many terms are in this expression?

a)

2

b)

3

c)

4

d)

5

43.

What is the FIRST coefficient?

a)

2x

b)

2

c)

x

d)

4

44.

What is the constant term in the expression?

a)

-4

b)

-10

c)

8

d)

4

45.

Which of the following best describes the expression 4 times a number increased by 7?

a)

(x/4) + 7

b)

4x - 7

c)

4(x + 7)

d)

4x + 7

46.

Which of the following best describes the algebraic expression 3(x - 5)?

a)

Three times a number minus five

b)

Three times the quantity of a number minus five

c)

Three times the quantity of a number plus five

d)

Three times a number plus five

47.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Unfactorable

48.

4x²- 64y²

a)

Unfactorable

b)

( 2x - 32y) (2 x + 32y)

c)

( 2x - 8y) (2 x - 8y)

d)

( 2x - 8y) (2 x + 8y)

A1 Unit 3 Test 2 Study Guide

Total questions: 48

Worksheet time: 2hrs 36mins

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