Quiz about STAAR Quadratics Review

Question 1

What is the correct way to factor the following sum of cubes?
a³+b³

Accepted Answer

(a+b)(a²-ab+b²)

Answer

(a-b)(a²+ab+b²)

Question 2

What is the correct way to factor the following difference of cubes?
a³-b³

Accepted Answer

(a-b)(a²+ab+b²)

Answer

(a+b)(a²-ab+b²)

Question 3

What is the correct way to factor the following difference of squares?
a²-b²

Accepted Answer

(a+b)(a-b)

Answer

(a-b)(a-b)

Answer

(a+b)(a+b)

Question 4

Factor the following quadratic trinomial:
x²+9x+14

Accepted Answer

(x+7)(x+2)

Answer

(x+9)(x+14)

Answer

(x+7)(x-2)

Answer

(x+1)(x+14)

Question 5

Factor the following quadratic trinomial:
x²+11x+30

Accepted Answer

(x+5)(x+6)

Answer

(x+11)(x-30)

Answer

(x+10)(x+3)

Answer

(x+15)(x+2)

Question 6

Factor the following quadratic trinomial:
x²+8x+12

Accepted Answer

(x+6)(x+2)

Answer

(x+8)(x+12)

Answer

(x+12)(x-1)

Answer

(x+4)(x+3)

Question 7

Factor the following quadratic trinomial:
x²+8x-20

Accepted Answer

(x+10)(x-2)

Answer

(x-10)(x+2)

Answer

(x+4)(x+5)

Answer

(x+4)(x-5)

Question 8

Factor the following quadratic trinomial:
x²+11x-12

Accepted Answer

(x+12)(x-1)

Answer

(x+3)(x-4)

Answer

(x-3)(x+4)

Answer

(x-12)(x+1)

Question 9

Factor the following quadratic trinomial:
x²+4x-45

Accepted Answer

(x+9)(x-5)

Answer

(x+5)(x-9)

Answer

(x-15)(x+3)

Answer

(x+15)(x-3)

Question 10

Factor the following quadratic trinomial:
x²-3x-40

Accepted Answer

(x-8)(x+5)

Answer

(x+8)(x+5)

Answer

(x-8)(x-5)

Answer

(x+20)(x-2)

Question 11

Factor the following quadratic trinomial:
x²-11x+28

Accepted Answer

(x-7)(x-4)

Answer

(x+7)(x+4)

Answer

(x-7)(x+4)

Answer

(x-11)(x-28)

Question 12

Factor the following quadratic trinomial:
x²-x-20

Accepted Answer

(x-5)(x+4)

Answer

(x-5)(x-4)

Answer

(x-20)(x+1)

Answer

(x-4)(x+5)

Question 13

Factor the following quadratic trinomial:
4x²-19x+12

Accepted Answer

(x-4)(4x-3)

Answer

(x+4)(4x-3)

Answer

(x-4)(4x+3)

Answer

(x-4)(x-3)

Question 14

The area of a rectangle is x²+15x+56, and the width is (x+7). What is the length?

Accepted Answer

(x+8)

Answer

(x+15)

Answer

x2+15x

Answer

(x-8)

Question 15

The area of a rectangle is x²+17x+60, and the width is (x+5). What is the length?

Accepted Answer

(x+12)

Answer

(x-12)

Answer

x2+17x

Answer

(x+5)

Question 16

Factor completely:
81x²-1
*Hint: Difference of squares

Accepted Answer

(9x+1)(9x-1)

Answer

(9x+1)(9x+1)

Answer

(9x-1)(9x-1)

Answer

(81x)(x-1)

Question 17

Factor the following quadratic trinomial:
x²-11x-60

Accepted Answer

(x-15)(x+4)

Answer

(x-12)(x-5)

Answer

(x-15)(x-4)

Answer

(x+12)(x-5)

Question 18

Factor the following quadratic trinomial:
x²-6x+8

Accepted Answer

(x-4)(x-2)

Answer

(x+4)(x+2)

Answer

(x-4)(x+2)

Answer

(x+4)(x-2)

Question 19

Factor the following quadratic trinomial:
x²-2x-15

Accepted Answer

(x-5)(x+3)

Answer

(x+5)(x-3)

Answer

(x-5)(x-3)

Answer

(x+5)(x+3)

Question 20

Factor the following quadratic trinomial: x²+4x-32

Accepted Answer

(x+8)(x-4)

Answer

(x-8)(x-4)

Answer

(x-8)(x+4)

Answer

(x+8)(x+4)

Question 21

Factor the following quadratic trinomial:
x²-20x+51

Accepted Answer

(x-17)(x-3)

Answer

(x-17)(x+3)

Answer

(x+17)(x+3)

Answer

(x+17)(x-3)

Question 22

Find the product.

(x - 10)²

Accepted Answer

x² - 20x + 100

Answer

x2 - 100

Answer

x² - 20x +20

Answer

x² - 100x + 20

Question 23

Find the product.

(2x + 5)(2x - 5)

Accepted Answer

4x2 - 25

Answer

4x2 + 25

Answer

4x² - 20x - 25

Answer

4x² +20x - 25

Question 24

Which is another way of correctly expressing
(x - 3)(x - 3)?

Accepted Answer

(x - 3)2

Answer

(x² - 3²)

Answer

(x2 - 3)

Answer

(x + 3)(x - 3)

Question 25

Factor:
17xy - x

Accepted Answer

x(17y - 1)

Answer

17(xy - x)

Answer

y(17x - x)

Answer

not factorable

Question 26

Which binomials are a difference (subtraction) of two squares?
I. 6a²-25
II. 4x²+16
III. b²-9
IV. 49y²-64

Accepted Answer

III and IV

Answer

I only

Answer

III only

Answer

II, III, and IV

Question 27

Find the product:
(x + 7)²

Accepted Answer

x² + 14x + 49

Answer

x²+ 7x + 7x + 49

Answer

x²+ 7x + 7

Answer

7x²+ x + 7

Question 28

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

Accepted Answer

-x²-6x + 8

Answer

x_² + 6x + 8

Answer

2x²+ 5x - 7

Answer

-2x² + 11x - 4

Question 29

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

Accepted Answer

3y³+ 7y²- 4y + 3

Answer

4y² + 3y³ - y + 3

Answer

-y⁴ + 2y³-y - 4

Answer

4y³+ 3y²-3y + 1

Question 30

Find the product:
(x + 5)(x - 4)

Accepted Answer

x² + 1x - 20

Answer

x² + 9x + 20

Answer

x² + 9x - 20

Answer

x² - 1x - 20

Question 31

Find the product:
(x - 9)(x - 7)

Accepted Answer

x² - 16x + 63

Answer

x² - 2x - 63

Answer

x² - 16x - 63

Answer

x² - 2x + 63

Question 32

Find the product:
(3x + 2)(2x + 4)

Accepted Answer

6x² + 16x + 8

Answer

5x² +11x + 6

Answer

5x² + 16x + 6

Answer

6x² + 11x + 8

Question 33

Factor:
5x + 35

Accepted Answer

5(x + 7)

Answer

5

Answer

(x + 7)

Answer

5(x + 30)

Question 34

Find the product:
(x + 12)(x - 12)

Accepted Answer

x2 - 144

Answer

x2 + 144

Answer

x² + 12x - 144

Answer

x² - 12x + 144

Question 35

Find the product:
(x - 7)(x + 7)

Accepted Answer

x2 - 49

Answer

x² + 7x - 49

Answer

x² - 7x + 49

Answer

x2 + 49

Question 36

Find the product:
(x - 1)(x - 8)

Accepted Answer

x² - 9x + 8

Answer

x² + 9x + 8

Answer

x²+ 9x - 8

Answer

x² - 9x - 8

Question 37

The area of a rectangle is 36x⁶y⁴ square units. What is the length if the width is 9x²y³?

Accepted Answer

4x4y

Answer

27x3y4/3

Answer

27x4y

Answer

4x8y7

Question 38

The length of a rectangle is 4a⁴b⁵ and the width is 3a²b³, what is the area of the rectangle?

Accepted Answer

12a6b8

Answer

7a6b8

Answer

12a⁸b¹⁵

Answer

1a2b2

Question 39

In the equation y=mx+b, m is the ____.

Accepted Answer

Slope

Answer

Y-intercept

Answer

X-intercept

Answer

Origin

Question 40

In the equation y=mx+b, b is the ____.

Accepted Answer

Y-intercept

Answer

Slope

Answer

X-intercept

Answer

Origin

Question 41

For a graph to be considered a function, it must pass ________.

Accepted Answer

The vertical line test

Answer

The origin

Answer

The function-ratio test

Answer

The y-axis

Question 42

You are given
ax²+bx+c
and are told to factor. How can you use your calculator to find the pairs numbers you could possibly use?

Accepted Answer

Go to Y=, type in Y=c/x and then hit 2ND Graph and the pairs will be on the table.

Answer

Cry a little bit.

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