Quiz about Algebra 1 Semester 2 Final Review

Question 1

Anything raised to a power of zero is always:

Accepted Answer

1

Answer

0

Answer

itself

Answer

negative

Question 2

Simplify the exponential expression:

Accepted Answer

2x2

Answer

10x-2

Answer

2x12

Answer

10x12

Question 3

Simplify the exponential expression.

Accepted Answer

8x6y12

Answer

2x6y12

Answer

2x5y7

Answer

8x5y7

Question 4

Simplify the expression.

Accepted Answer

22 z7

Answer

2¹⁴ z¹³

Answer

22/z7

Answer

2¹⁴/ z⁷

Question 5

Simplify the expression:

(2x²)²(3x³)³

Accepted Answer

108x13

Answer

96x10

Answer

96x13

Answer

108x10

Question 6

1.) Simplify
(2a²b⁴z)(6a³b²z⁵)

Accepted Answer

12a⁵b⁶z⁶

Answer

8a⁵b⁶z⁶

Answer

12a⁶b⁸z⁵

Answer

8a⁶b⁸z⁵

Question 7

Simplify the expression.

Accepted Answer

95

Answer

99

Answer

15

Answer

9-5

Question 8

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

Accepted Answer

Growth

Answer

Decay

Question 9

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

Accepted Answer

Decay

Answer

Growth

Question 10

Is the pictured graph growth, decay, linear or quadratic?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

Quadratic

Question 11

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 12

Suppose a culture of bacteria begins with 5000 cells and decreases in population by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(0.7)^x

Answer

y=30(5000)^x

Answer

y=5000(1.3)^x

Answer

y=5000xx

Question 13

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Accepted Answer

y=6(1.14)^x

Answer

y=6(0.14)^x

Answer

y=6(1+14)^x

Answer

y=6(0.86)^x

Question 14

Factor the expression:

8r³ + 16r²

Accepted Answer

8r²(r + 2)

Answer

4r²(2r + 4)

Answer

8(r³ + r²)

Answer

4(r³ + 2r²)

Question 15

Factor:
x² - 9

Accepted Answer

(x + 3)(x - 3)

Answer

(x + 3)2

Answer

(x - 3)2

Answer

(x+3)(x+3)

Question 16

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 17

Solve the quadratic equation.

Accepted Answer

-4, 2

Answer

-2, 4

Answer

-16

Answer

-4

Question 18

If the discriminant equals 0, then the quadratic has:

Accepted Answer

1 Real Solution

Answer

2 Real Solutions

Answer

Half a Solution

Answer

No Real Solution

Question 19

If the discriminant is negative, then the quadratic has:

Accepted Answer

No Real Solutions

Answer

1 Real Solution

Answer

2 Real Solutions

Answer

Half a Solution

Question 20

If the discriminant is positive, then the quadratic has:

Accepted Answer

2 Real Solutions

Answer

1 Real Solution

Answer

Half a Solution

Answer

No Real Solution

Question 21

Factor the equation x²-9x+20=0 to solve.

Accepted Answer

x=4, 5

Answer

x=-2, 10

Answer

x=-5, -4

Answer

Not factorable

Question 22

Find the discriminant.
2x² + 7x - 15 = 0

Accepted Answer

169,  2 real solutions

Answer

169,   No Real Solutions

Answer

169,  Imaginary solutions

Answer

169,  1 real solution

Question 23

Solve by factoring.
x² + 2x - 8 = 0

Accepted Answer

-4 and 2

Answer

4 and 2

Answer

4 and -2

Answer

-4 and -2

Question 24

Solve by factoring.
3a² - 12a + 12 = 0

Accepted Answer

2

Answer

-2

Answer

2/3

Answer

5

Question 25

Solve by factoring.
z² - 6z - 27 = 0

Accepted Answer

z = -3 or z = 9

Answer

z = 3 or z = 9

Answer

z = 3 or z = -9

Answer

z = -3 or z = -9

Question 26

What are the zeros?

Accepted Answer

x= 0 and x= 4

Answer

x= 0 and x= -4

Answer

y= 0

Answer

x= 2

Question 27

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

Accepted Answer

y = ax² + bx + c

Answer

ax + by = c

Answer

y = a(x - h)² + k

Answer

y = mx + b

Question 28

Solve by factoring

6x² + 17x + 12 = 0

Accepted Answer

x = -4/3, x = -3/2

Answer

x = 9, x = 8

Answer

x = 4, x = 3

Answer

x = -4, x = -3

Question 29

Solve using the square root method:

x² - 49 = 0

Accepted Answer

x = -7, x = 7

Answer

x = -7

Answer

x = 7

Answer

x = -7, x = 1

Question 30

Solve Using the Quadratic Formula
2x² + 7x - 15 = 0

Accepted Answer

-5 or 1.5

Answer

-1.5 or 5

Answer

No Solution

Answer

0.7 or 5

Question 31

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 32

What is the vertex of the graph?

Accepted Answer

(3, -1)

Answer

(2, 4)

Answer

(0, 8)

Answer

(4, 2)

Question 33

How does the parabola open? y = 4x - x² - 1

Accepted Answer

down

Answer

up

Answer

left

Answer

right

Question 34

Which of the following parabolas will have a minimum?

Accepted Answer

y = x² + 2x - 8

Answer

y = -x² + 4

Answer

y = -x² + x - 3

Answer

y = -x² - 2

Question 35

What do we call the graph of a quadratic function?

Accepted Answer

parabola

Answer

linear

Answer

cubic

Answer

sinusoidal

Question 36

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 37

What  are the solutions of this graph?

Accepted Answer

-2 and 3

Answer

-1/2 and -6

Answer

-2 and -6

Answer

3 and -6

Question 38

What are the zeros of the function?
f(x) = (x - 3)(x +7)

Accepted Answer

x = 3 and x = -7

Answer

x =-3 and x = 7

Answer

x = -21 and x = 10

Answer

x = 21 and x = -10

Question 39

Is this a perfect square trinomial?
x² + 14x + 49

Accepted Answer

Yes

Answer

No

Question 40

Factor:
n²+ 10n + 25

Accepted Answer

(n + 5)2

Answer

(n + 5)(n - 5)

Answer

(n + 25)(n + 1)

Answer

(n - 5)2

Question 41

What is the axis of symmetry for this graph?

Accepted Answer

x=2

Answer

y=2

Answer

x=0

Answer

y=0

Question 42

What is the equation for axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 43

The line that goes through the vertex of a parabola is called the...

Accepted Answer

Axis of Symmetry

Answer

Vertex

Answer

x-intercept

Answer

y-intercept

Question 44

The vertex of this quadratic is...

Accepted Answer

(1,16)

Answer

(-3,0)

Answer

(5,0)

Answer

(0,15)

Question 45

Which graph represents a system of equations with no solution?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

None of the above

Algebra 1 Semester 2 Final Review

84 questions

Solve the system using elimination.
$3x-2y=-6$
$5x+6y=-10$

Solve the system using elimination.
$-4x-6y=6$
$4x+6y=-4$

Does the system below have one solution, no solution, or infinitely many solutions?
$8x+4y=12$
$y=-2x+3$

Simplify the expression.

$5³\cdot5⁴$

Simplify the expression:

$\left(2^8\right)^{2\ }$

Anything raised to a power of zero is always:

Simplify the expression:

$\left(3y^4\right)^2$

Simplify the exponential expression:

Simplify the exponential expression.

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Algebra 1 Semester 2 Final Review

84 questions

Solve the system using elimination. 3x−2y=−63x-2y=-63x−2y=−6 5x+6y=−105x+6y=-105x+6y=−10

Solve the system using elimination. -4x-6y=6−4x−6y=6 4x+6y=−44x+6y=-44x+6y=−4

Does the system below have one solution, no solution, or infinitely many solutions? 8x+4y=128x+4y=12 y=−2x+3y=-2x+3y=−2x+3

Simplify the expression. 5³⋅5⁴5³\cdot5⁴5³⋅5⁴

Simplify the expression: (28)2 \left(2^8\right)^{2\ }(28)2

Anything raised to a power of zero is always:

Simplify the expression: (3y4)2\left(3y^4\right)^2(3y4)2

Simplify the exponential expression:

Simplify the exponential expression.

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Solve the system using elimination.
$3x-2y=-6$
$5x+6y=-10$

Solve the system using elimination.
$-4x-6y=6$
$4x+6y=-4$

Does the system below have one solution, no solution, or infinitely many solutions?
$8x+4y=12$
$y=-2x+3$

Simplify the expression.

$5³\cdot5⁴$

Simplify the expression:

$\left(2^8\right)^{2\ }$

Simplify the expression:

$\left(3y^4\right)^2$