Quiz about EOC.6 Algebra 1 Full Unit 6 Milestone Review

Question 1

Factor:
56a³-8a

Accepted Answer

8a(7a2-1)

Answer

8a²(56a³-8a)

Answer

8a(7a3-a)

Answer

8a²(35a²-a)

Question 2

Factor:

80x⁵-70x²-60x⁷

Accepted Answer

10x²(8x³-7-6x⁵)

Answer

2x²(80x³-70-60x⁶)

Answer

10x²(80x⁴-70x-60x⁶)

Answer

3x²(80x³-40-60x⁵)

Question 3

Factor
10x² + 15x-5

Accepted Answer

5(2x²+3x-1)

Answer

25(10x³+45x-15)

Answer

5(2x³ + 3x²-x)

Answer

x(10x³+15x-5)

Question 4

Factor
k²+7x+10

Accepted Answer

(k+2)(k+5)

Answer

(k-2)(k-5)

Answer

(k+10)(k+4)

Answer

(k+2)(k-5)

Question 5

Factor
n² + 16n + 63

Accepted Answer

(n+7)(n+9)

Answer

(n-7)(n+4)

Answer

(n+7)(n-9)

Answer

(n-3)(n-10)

Question 6

Factor
3a² + 4a + 1

Accepted Answer

(3a+1)(a+1)

Answer

(7a-10)(a-8)

Answer

Not factorable

Answer

(3a-1)(a-1)

Question 7

Factor
4n²-17n-15

Accepted Answer

(n-5)(4n+3)

Answer

(n-10)(6n+1)

Answer

(4n-5)(n-3)

Answer

(n-5)(4n-3)

Question 8

Factor
x²-16x + 48

Accepted Answer

(x - 12)(x - 4)

Answer

(x + 6)(x - 8)

Answer

(x + 12)(x - 4)

Answer

(x -16)(x - 3)

Question 9

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

Accepted Answer

opens down with a maximum

Answer

opens up with a maximum

Answer

opens up with a minimum

Answer

opens down with a minimum

Question 10

What are the green dots called?

Accepted Answer

roots or x-intercepts

Answer

axis of symmetry

Answer

vertex

Answer

parabola

Question 11

What is the equation for axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 12

What is the axis of symmetry of:y=2x²-4x+9

Accepted Answer

x = 1

Answer

x = -1

Answer

x = -2

Answer

x = 4

Question 13

What is the y-intercept of: y=7x²+2x -1

Accepted Answer

(0, -1)

Answer

(0, 1)

Answer

(1, 0)

Answer

(-1, 0)

Question 14

What are the x- intercepts?

Accepted Answer

x= 0 and x= 4

Answer

x= 0 and x= -4

Answer

y= 0

Answer

x= 2

Question 15

Solve by taking square roots:
5b² - 4 = 41

Accepted Answer

b = 3, b = -3

Answer

b = 9, b = -9

Answer

b = 8, b = -8

Answer

no solution

Question 16

b² - 4ac would equal: y = 2x² -x -3

Accepted Answer

25

Answer

-23

Answer

-25

Answer

0

Question 17

What should you do first in solving this equation?
x² + 6x - 13 = 3

Accepted Answer

Make it equal 0 by subtracting 3 on each side

Answer

Get factored form

Answer

Write down: a=1, b=6, c=-13

Answer

Type it all in a calculator.

Question 18

What are the roots of the function?

Accepted Answer

x = -4, 1

Answer

x = 4, -1

Answer

(-4, 1)

Answer

(4, 0) (-1, 0)

Question 19

What is another word for zeros?

Accepted Answer

roots

Answer

y-intercepts

Answer

vertex

Answer

axis of symmetry

Question 20

How many solutions does the equation 4x² + 4x + 1 = 0 have?

Accepted Answer

1

Answer

0

Answer

2

Answer

More than 2

Question 21

What piece of information does c identify in the following equation?
y=ax²+bx+c

Accepted Answer

y-intercept

Answer

Zeroes

Answer

Axis of Symmetry

Answer

Direction

Question 22

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

Accepted Answer

(-2, 16)

Answer

(2, 0)

Answer

(2, 4)

Answer

(-2, 4)

Question 23

Use the graph to determine the solutions.

Accepted Answer

1 and 3

Answer

-1 and -3

Answer

1 and -3

Answer

-1 and 3

Question 24

Joe Mauer hits a fly ball. You can track the height of the ball using the equation: h(t) = -16t² + 140t + 2
What was the starting
height of the ball?

Accepted Answer

2 feet

Answer

-16 feet

Answer

140 feet

Answer

0 feet

Question 25

What is the vertex of the quadratic function: y=1/2(x-3)²+8?

Accepted Answer

(3,8)

Answer

(-3,-8)

Answer

(-3,8)

Answer

(3,-8)

Question 26

Find the zeros of this quadratic.

Accepted Answer

b=4/5, b=-3

Answer

b=4/5, b=3

Answer

b=4, b=-3

Answer

b=1/5, b=3

Question 27

Solve
x² + 4x - 40 = -8

Accepted Answer

-8 & 4

Answer

-10 & -4

Answer

-4 & 10

Answer

8 & -4

Question 28

Solve
2x² + 7x - 15 = 0

Accepted Answer

-5 or 1.5

Answer

-1.5 or 5

Answer

No Solution

Answer

0.7 or 5

Question 29

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

Accepted Answer

(-5, -4)

Answer

(5, -4)

Answer

(-15, -4)

Answer

(15, -4)

Question 30

If the blue is f(x)=x^2,the red must be

Accepted Answer

g(x)=(x - 3)²

Answer

g(x)=(x + 3)²

Answer

g(x)=x²+ 3

Answer

g(x)=x²- 2

Question 31

What are the transformations from the parent function y = x²?
y=(x - 2)³+ 4

Accepted Answer

shift right 2      shift up 4

Answer

shift left 2     shift up 4

Answer

shift right 2      shift down 4

Answer

shift left 2      shift up 4

Question 32

Complete the square for
x² + 12x + ____

Accepted Answer

x² + 12x + 36

Answer

x² + 12x + 144

Answer

x² + 12x - 36

Answer

x² + +12x - 144

Question 33

Complete the square.
x² + 6x + ____

Accepted Answer

x² + 6x + 9

Answer

x² + 6x - 36

Answer

x² + 6x + 36

Answer

x² + 6x - 9

Question 34

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?

Accepted Answer

The ball was kicked from the ground and it was in the air for 4 seconds.

Answer

The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.

Answer

The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds.

Answer

The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds.

Question 35

When I want to find the maximum or minimum height of an object, I should_____.

Accepted Answer

Find the y-coordinate for the vertex.

Answer

Set the equation = 0 and solve.

Answer

Use x = (-b/2a) as my answer.

Answer

Substitute x = 0 into the equation.

Question 36

If I want to find out when an object hits the ground, I should _________.

Accepted Answer

Set my equation = 0 and solve.

Answer

Use x = (-b/2a) as my answer.

Answer

Replace x with 0 and evaluate.

Answer

Find the y-coordinate of the vertex.

Question 37

If I want to see the initial height of an object, I should _____________.

Accepted Answer

Substitute x = 0 into the equation and evaluate.

Answer

Use x = (-b /2a) as my answer.

Answer

Find the y-coordinate of the vertex.

Answer

Set my equation = 0 and solve.

Question 38

A fountain shoots water in an arc over a lake that can be modeled by the graph of the equation y= -0.4x² + 8x where x is the horizontal distance (in feet) from the fountain base and y is the height (in feet) above the river. How high does the water go?

Accepted Answer

It goes 40 feet high

Answer

It goes 11.78 feet high

Answer

It goes 20 feet high

Answer

It goes 10 feet high

Question 39

The length of a rectangle is 6 meters more than the width.  The area is 72 square meters.  Find the length and width.

Accepted Answer

Length = 12, Width = 6

Answer

Length = 6, Width = 12

Answer

Length = 18, Width = 4

Answer

Length = 4, Width = 6

Question 40

A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function h(t) = -16t² + 256. How many seconds did it take the raft to hit the water?

Accepted Answer

4

Answer

-4

Answer

2

Answer

8

Question 41

What is the initial (starting) height of an object following this path? h(t) = -16t² +20t + 6

Accepted Answer

6 feet

Answer

-16 feet

Answer

0 feet

Answer

20 feet

Question 42

If path of a projectile is modeled by:
h(t) = -16t² + 20t +6, what is the height after 1 second?

Accepted Answer

10 feet

Answer

6 feet

Answer

20 feet

Answer

4 feet

Question 43

To calculate the TIME that a maximum height occurs, you should use:

Accepted Answer

-b/(2a)

Answer

Quadratic formula

Answer

the c value

Answer

0

Question 44

If the graph shows price vs profit, what is the maximum profit?

Accepted Answer

12,500

Answer

35

Answer

12,000

Answer

60

Question 45

If the graph shows price vs profit, at which prices would you "break even" (neither lose or gain money)?

Accepted Answer

10 and 60

Answer

20 and 50

Answer

30 and 40

Answer

35

Question 46

Which equation has a vertex of (-3, 4)?

Accepted Answer

y = 2(x+3)²+ 4

Answer

y = (x+3)² - 4

Answer

y = (x-3)² + 4

Answer

y = 2(x - 3)² + 4

Question 47

What is the green dashed line called?

Accepted Answer

axis of symmetry

Answer

roots or x-intercepts

Answer

parabola

Answer

line of dashes

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