Quiz about ALG 1 TEST

Question 1

Factor:
x² - 10x + 24

Accepted Answer

(x - 6)(x - 4)

Answer

(x + 6)(x + 4)

Answer

(x - 12)(x + 2)

Answer

(x - 8)(x - 3)

Question 2

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 3

Factor:
x² - 14x + 24

Accepted Answer

(x - 12)(x - 2)

Answer

(x - 8)(x - 3)

Answer

(x - 6)(x - 4)

Answer

(x - 24)(x - 1)

Question 4

Find GCF of 22x³+11x²

Accepted Answer

11x2

Answer

11x

Answer

22x

Answer

22x2

Question 5

FACTOR
7w³-14w

Accepted Answer

7w(w2-2)

Answer

7w(w2-2w)

Answer

7w(w-2)

Answer

7w(w+2)

Question 6

Factor:
24c⁵ - 12c³

Accepted Answer

12c³(2c² - 1)

Answer

6(4c⁵ - 2c³)

Answer

12c³(2c²)

Answer

12c³(2c² - 0)

Question 7

Factor:
18b²-9b³

Accepted Answer

9b2(2-b)

Answer

9b²(18-9b)

Answer

9b²(18-9b²)

Answer

b2(2-b2)

Question 8

Factor
3a² + 4a + 1

Accepted Answer

(3a+1)(a+1)

Answer

(7a-10)(a-8)

Answer

Not factorable

Answer

(3a-1)(a-1)

Question 9

Perform the indicated operation:
(2x)( 3x)

Accepted Answer

6x2

Answer

5x2

Answer

5x

Answer

-x

Question 10

Perform the indicated operation:
2x² + 3x

Accepted Answer

Cannot add together

Answer

5x2

Answer

5x3

Answer

6x2

Question 11

Perform the indicated operation:

(2x² + 2) - (3x²+ 2)

Accepted Answer

-x2

Answer

5x2 + 4

Answer

-x4 + 4

Answer

-x2 + 4

Question 12

Perform the indicated operation:
(x² + 2)(x + 3)

Accepted Answer

x³ + 3x²+ 2x + 6

Answer

x³ + 5x + 6

Answer

-2x - 1

Answer

x³ + 5x²+ 6

Question 13

Perform the indicated operation:
(3x²y)(-5xyz)

Accepted Answer

-15x3y2z

Answer

-15x2yz

Answer

15x3y2z

Answer

-2x3y2z

Question 14

What do you do to the b value to correctly complete the square?

Accepted Answer

divide it by 2 and square the result

Answer

square it

Answer

divide it by 2 and take the square root of the result

Answer

divide it by 2 only

Question 15

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

Accepted Answer

2

Answer

4

Answer

8

Answer

20

Question 16

Complete the square

$$2x^2-20x+18=0$$

Accepted Answer

$$x=\left\{1,9\right\}$$

Answer

$$x=\left\{-1,-9\right\}$$

Answer

$$x=\left\{1,18\right\}$$

Answer

$$x=\left\{5,9\right\}$$

Question 17

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 18

Question 18.

Accepted Answer

A
1 Real Solution

Answer

B
2 Real Solutions

Answer

C
No Real Solutions

Answer

D
Half a Solution

Question 19

Find the solutions to the following quadratic equation:

$$\left(a+6\right)\left(6a-1\right)=0$$

Accepted Answer

$$a=-6,\ \frac{1}{6}$$

Answer

$$a=-6,\ 1$$

Answer

$$a=-\frac{1}{6},\ 6$$

Answer

$$no\ real\ solutions$$

Question 20

Solve the following quadratic equation by factoring:

$$x^2-4x=21$$

Accepted Answer

$$x=-3,\ 7$$

Answer

$$x=-4,\ 21$$

Answer

$$no\ real\ solutions$$

Answer

$$x=-7,\ 3$$

Question 21

Solve the following quadratic equation by factoring:

$$2p^2-7p+3=0$$

Accepted Answer

$$p=\frac{1}{2},\ 3$$

Answer

$$p=-3,\ -1$$

Answer

$$p=1,\ 3$$

Answer

$$p=-3,\ -\frac{1}{2}$$

Question 22

If the discriminant of the quadratic equation is equal to 0, how many real solutions are there?

Accepted Answer

One

Answer

None

Answer

Two

Answer

Infinite

Question 23

If the discriminant of the quadratic equation is equal to 4, how many real solutions are there?

Accepted Answer

Two

Answer

None

Answer

One

Answer

Infinite

Question 24

What is the discriminant of this equation?

3x² + 8x = 0

Accepted Answer

64

Answer

52

Answer

9

Answer

0

Question 25

What is the maximum/minimum of a parabola called?

Accepted Answer

vertex

Answer

point

Answer

top

Answer

bottom

Question 26

Does this graph have a maximum or minimum?

Accepted Answer

Minimum

Answer

Maximum

Question 27

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

Accepted Answer

x = -3

Answer

y = -2

Answer

x = 3

Answer

y = 2

Question 28

Find the vertex of y = -x²- 4x + 12.

Accepted Answer

(-2, 16)

Answer

(2, 0)

Answer

(2, 4)

Answer

(-2, 4)

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