Quiz about Algebra 2 Midterm Review

Question 1

Which equation is parallel to:
y = 5/7x +2

Accepted Answer

y = 5/7x +5

Answer

y = -7/5x +1

Answer

y = 7/5x +4

Answer

y = -5/7x -3

Question 2

Write the equation of the line.

Accepted Answer

x = -1

Answer

x = 1

Answer

y = -1

Answer

y = 1

Question 3

Write the equation of the line.

Accepted Answer

y = 5

Answer

x = 5

Answer

x = -5

Answer

y = -5

Question 4

If a system of equations has no solution, what does the graph look like?

Accepted Answer

parallel lines

Answer

intersecting lines

Answer

skew lines

Answer

intersecting lines

Question 5

Caitlin won a bag full of money! She has 49 bills in all. She counts $1,430. There are $20 dollar bills and $50 dollar bills. How many of each bill does Caitlin have?
WRITE a system where T= # of $20 and F = # of $50.

Accepted Answer

T + F = 49
20T + 50F = 1430

Answer

T + F = 1430
20T + 50F = 49

Answer

T+ F = 49
10T + 5F = 1430

Answer

T + F = 49
T + F = 1430

Question 6

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(2, 0)

Question 7

Write in slope intercept form:

5x - 3y = -9

Accepted Answer

y = (5/3)x + 3

Answer

y = (5/3)x - 3

Answer

y = (5/3)x + 9

Answer

y = (3/5)x + 3

Question 8

Select the correct graph for the inequality.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 9

Simplify:
(7 + 2i)(9 - 6i)

Accepted Answer

75-24i

Answer

63 - 24i - 12i²

Answer

51 - 24i

Answer

58 + 60i

Question 10

Factor:

x³ - 27

Accepted Answer

(x - 3)(x² + 3x + 9)

Answer

(x - 4)(x² + 4x + 16)

Answer

(x + 3)(x² - 4x + 16)

Answer

(x - 1)(x² + 1x + 1)

Question 11

Simplify:
(10+ 15i) - (48 - 30i)

Accepted Answer

-38 + 45i

Answer

58 - 45i

Answer

58 - 15i

Answer

-38 - 15i

Question 12

Find the sum:

(5-2i) + (-7+8i)

Accepted Answer

-2+6i

Answer

12+6i

Answer

-35-16i2

Answer

-35 -16i

Question 13

Use the quadratic formula to solve:

2x² + 2x - 12?

Accepted Answer

2, -3

Answer

-2, 3

Answer

2, 3

Answer

-2, -3

Question 14

Factor:

x²+5x+6

Accepted Answer

(x+3)(x+2)

Answer

(x+1)(x-6)

Answer

(x-3)(x+2)

Answer

(x+4)(x+2)

Question 15

y varies directly with x, and y is 84 when x is 16. What is the constant of proportionality?

Accepted Answer

k= 5.25

Answer

y = (21/4)x

Answer

k= 21

Answer

k= 4/21

Question 16

In a direct variation, y=39 when x=3. Find the value of y when x=2.

Accepted Answer

26

Answer

3

Answer

58.5

Answer

2

Question 17

Which of the following is the correct equation for the given graph?

Accepted Answer

f(x) = (x+2)² - 1

Answer

f(x) = (x-2)² - 1

Answer

f(x) = (x-2)² +1

Answer

f(x) = (x+2)² +1

Question 18

Mr. Mel graphed two lines in order to find the solution to a given system of equations. What is the solution?

Accepted Answer

(-3,-8)

Answer

(-8,-3)

Answer

(3,-8)

Answer

(8,3)

Question 19

What is the solution to the system?
x - 2y = 2
3x + 4y = 3

Accepted Answer

(1.4, -0.3)

Answer

(3.1, 5)

Answer

(-2.5, 3.5)

Answer

(6.9, 1.02)

Question 20

Factor:

x² + 11x + 24

Accepted Answer

(x + 8)(x + 3)

Answer

(x + 6)(x + 4)

Answer

(x + 12)(x + 2)

Answer

(x - 8)(x - 3)

Question 21

Factor:
x² - 10x - 24

Accepted Answer

(x - 12)(x + 2)

Answer

(x + 12)(x - 2)

Answer

(x - 6)(x - 4)

Answer

(x +6)(x - 4)

Question 22

Factor:

7w³-14w

Accepted Answer

7w(w2-2)

Answer

7w(w2-2w)

Answer

7w(w-2)

Answer

7w(w+2)

Question 23

Factor
3v² - 4v - 7

Accepted Answer

(3v-7)(v+1)

Answer

3(v-7)(v-1)

Answer

(3v+1)(v-9)

Answer

(3v+1)(v-10)

Question 24

Factor:

x²- 400

Accepted Answer

( x - 20) ( x + 20)

Answer

( x - 200) ( x + 200)

Answer

( x + 20) ( x + 20)

Answer

Prime

Question 25

Solve by factoring:

2x²+ 7x + 6 = 0

Accepted Answer

x = -3/2 and x = -2

Answer

x= 3/2 and x = 2

Answer

x = 6 and x = 7

Answer

x = -6 and x = -7

Question 26

Solve by factoring:

x² - 9x + 20 = 0

Accepted Answer

x = 4 and x = 5

Answer

x = -4 and x = -5

Answer

x = 20 and x = -9

Answer

x = -4 and x = 5

Question 27

Solve:

7x² - 26x - 8 = 0

Accepted Answer

x = 4 and x = -2/7

Answer

x = -1 and x = -7/8

Answer

x = -4 and x = 2/7

Answer

x = 4 and x = -7/2

Question 28

Use the quadratic formula to solve:

2x² + 2x - 12

Accepted Answer

2, -3

Answer

-2, 3

Answer

2, 3

Answer

-2, -3

Question 29

State the x-intercept(s).

Accepted Answer

(0, 0) and (4, 0)

Answer

(0, 0)

Answer

(2, 4)

Answer

(0, 0) and (0, 4)

Question 30

What is the equation for the axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 31

What is the green dot on the parabola called?

Accepted Answer

maximum

Answer

minumum

Answer

roots

Answer

zeros

Question 32

Find the y-intercept:

y = 2x²- 2x + 1

Accepted Answer

1

Answer

2

Answer

-2

Answer

-1

Question 33

What is the vertex of the quadratic function:
y = x² - 6x + 11?

Accepted Answer

(3,2)

Answer

(-3,-2)

Answer

(-3,2)

Answer

(3,-2)

Question 34

What is another name for the x-intercepts of a quadratic?

Accepted Answer

zeros

Answer

y-intercepts

Answer

x-axis

Answer

none of these

Question 35

What are the green dots called?

Accepted Answer

roots or x-intercepts

Answer

axis of symmetry

Answer

vertex

Answer

parabola

Question 36

The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function:

p= -15x² +600x +60

What is the maximum profit you can make from selling tickets?

Accepted Answer

$6060

Answer

$20

Answer

$600

Answer

$10,250

Question 37

Factor completely:

x³ + 3x² - 4x - 12

Accepted Answer

(x + 3) (x + 2)(x - 2)

Answer

(x + 3)(x² - 4)

Answer

(x² + 4) (x - 3)

Answer

(x² + 3)(x - 4)

Question 38

Find all the roots of y=x³-2x²+4x-8

Accepted Answer

2, 2i, -2i

Answer

-2, 2i, -2i

Answer

2,-2, 2i

Answer

1, 2i, 4

Question 39

Simplify:

(4x^-2y³)²/(2x⁴y⁸)

Accepted Answer

8/(x⁸y²)

Answer

2/(x⁸y²)

Answer

8/y2

Answer

8/(x⁶y²)

Question 40

Simplify.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 41

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 42

Factor:

8x³ + 27

Accepted Answer

(2x + 3)(4x² - 6x + 9)

Answer

(3x - 2)(9x² + 6x + 4)

Answer

(3x - 1)(9x² + 3x + 1)

Answer

(2x - 1)(4x² + 2x + 1)

Question 43

How many roots does this quadratic have?

Accepted Answer

No Real Roots

Answer

Two Real Roots

Answer

One Real Root

Answer

Four Real Roots

Question 44

Simplify:

(5³x²y⁴)⁰

Accepted Answer

1

Answer

5xy

Answer

0

Answer

5

Question 45

Question 45.

Accepted Answer

b6/2a2

Answer

2a2b6

Answer

1/2a2b6

Answer

2b6/a2

Question 46

List the zeros for this function:

f(x)=(x+4)(x-3)(x-2)

Accepted Answer

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

Answer

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

Answer

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

Answer

x = 4, x = 3, x = 2

Algebra 2 Midterm Review

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