Question 1

Match the steps in factoring the general trinomial

6x² + 19x + 15

Accepted Answer

linking://Find the product of the leading term and the last term|(6)(15)=90:Determine the factor pair of the product whose sum is the middle term| $9\cdot10$ :Rewrite the trinomial as a four-term expression by replacing the middle term by the factor pair|6x²+ 9x + 10x + 15 :Group terms with common factors and factor the groups using GCF|3x(2x+3) and 5(2x+3):Factor out the common binomial and write the remaining factor as sum or difference of binomial|(3x+5)(2x+3)

Question 2

What is the GCF (Greatest Common Factor) of the polynomial x ⁵and x

Accepted Answer

x

Answer

x2

Answer

x5

Answer

x 3

Question 3

What is the GCF (Greatest Common Factor) of the polynomial a³and a ²

Accepted Answer

a 2

Answer

a 3

Answer

a

Answer

a 5

Question 4

What is the GCF (Greatest Common Factor) of the polynomial a⁴ b³and a²b

Accepted Answer

a2 b

Answer

b

Answer

a

Answer

a4   b3

Question 5

What is the factored form of the polynomial (x²- 1)?

Accepted Answer

(x + 1)(x - 1)

Answer

(x + 1)

Answer

(x + 1)(x + 1)

Answer

(x - 1)(x - 1)

Question 6

What is the factored form of the polynomial (n²- 9)

Accepted Answer

(n + 3)(n - 3)

Answer

(n - 3)(n - 3)

Answer

(n - 9)(n + 1)

Answer

(n + 3)(n + 3)

Question 7

What is the factored form of the polynomial (y²- 36) ?

Accepted Answer

(y + 6)(y - 6)

Answer

(y + 36)(y - 1)

Answer

(y - 6)(y - 6)

Answer

(y + 6)(y + 6)

Question 8

The area of a box is represented by the polynomial 9x² + 30x + 25. Which expression is the dimension of the box when factoring is used to the given area? *

Accepted Answer

(3x + 5)

Answer

(9x² + 25)

Answer

(x + 25)

Answer

(3x - 5)

Question 9

The area of a box is represented by the polynomial 4x² + 28x + 49. Which expression is the dimension of the box when factoring is used to the given area? *

Accepted Answer

(2x + 7)

Answer

(2x2 + 7)

Answer

(4x + 49)

Answer

(2x - 7)

Question 10

The area of a box is represented by the polynomial x² + 2x + 1 . Which expression is the dimension of the box when factoring is used to the given area? *

Accepted Answer

(x + 1)

Answer

(x + 2)

Answer

(x2 + 1)

Answer

(x - 1)

Question 11

Arrange the steps in factoring general trinomials in the form

ax² + bx + c

Accepted Answer

ordering://Find the product of the leading term and the last term|1:Determine the factor pair of the product whose sum is the middle term|2:Rewrite the trinomial as a four-term expression by replacing the middle term by the factor pair|3:Group terms with common factors and factor the groups using GCF|4:Factor out the common binomial and write the remaining factor as sum or difference of binomial|5

Question 12

What is the factored form of 12x² + 21x - 6 ?

Accepted Answer

3(4x - 1)(x + 2)

Answer

3(4x + 1)(x + 2)

Answer

(4x - 1)(x + 2)

Answer

3(4x - 1)(x - 2)

Question 13

Which are the factors of 10x² + 74xy + 28y² ?

Accepted Answer

2(5x + 2y)(x + 7y)

Answer

2(5x - 2y)(x - 7y)

Answer

(5x + 2y)(x + 7y)

Answer

2(5x - 2y)(x + 7y)

Question 14

Translate "Nicole is three times as old as Joshua" into mathematical statement when x represents the age of Joshua.

Accepted Answer

3x

Answer

x + 3

Answer

x

Answer

2x

Question 15

Translate "Bea is twice as old as May" into mathematical statement when x represents the age of May.

Accepted Answer

2x

Answer

x

Answer

x + 2

Answer

3x

Question 16

Translate "five years ago" into mathematical statement when x represents the year.

Accepted Answer

x - 5

Answer

5x

Answer

x + 5

Answer

x = 5

Question 17

Solve and match the correct answers.

Let x = 10

Accepted Answer

linking://2x|20:x-3|7:x-5|5:3x|30

Answer

Answer

Question 18

Which is a rational expression?

Accepted Answer

$\frac{5}{a}$

Answer

$\frac{5}{a}$

Answer

$\frac{5}{a}$

Answer

$\frac{5}{a}$

Question 19

Choose whether Rational Expression or Not Rational Expressions

Accepted Answer

sorting://Rational Expressions| $9\cdot10$ , $\frac{8}{x}$ , $\frac{2\surd x}{y}$ ,x²-4:Not Rational Expressions| $\surd x^3$ , $\frac{\left(x+2\right)}{x^{3^{ }}}$ , $\frac{\left(a^2-1\right)}{b^{3^{ }}}$ , $\surd ab$

Question 20

Match the rational expressions to their simplest forms

Accepted Answer

linking:// $9\cdot10$ |x-2: $\frac{8}{x}$ |x+4: $\frac{2\surd x}{y}$ |x+5

Question 21

The area of a rectangular floor mat is x² + 7x + 12. If it has a width of (x + 3), then what is its length?

Accepted Answer

(x+4)

Answer

(x+12)

Answer

(x+7)

Answer

(x+3)

Question 22

Match the general trinomials to their factors

Accepted Answer

linking://x² + 7x +12|(x+3)(x+4):x² - 7x -8|(x-8)(x+1):x² - 4x +3|(x-3)(x-1):x² +2x -48|(x-6)(x+8)

Question 23

Add:

$x\ +\frac{1}{4}$ = ?

Accepted Answer

$\frac{5}{a}$

Answer

$\frac{5}{a}$

Answer

$\frac{5}{a}$

Answer

$\frac{5}{a}$

Question 24

Add:

$x\ +\frac{1}{4}$ + x = ?

Accepted Answer

$\frac{5}{a}$

Answer

$\frac{5}{a}$

Answer

$\frac{5}{a}$

Answer

$\frac{5}{a}$

Question 25

Choose the equation for the problem below:

"CJ ate $\frac{1}{4}$ more portion of a cake more than Marco. If 12 out of 16 slices of cake were eaten in all, how many slices were eaten by Marco?"

Accepted Answer

$\frac{5}{a}$

Answer

$\frac{5}{a}$

Answer

$\frac{5}{a}$

Answer

$\frac{5}{a}$

Question 26

Solve for the value of x

$x\ +\frac{1}{4}$

Accepted Answer

$\frac{5}{a}$

Answer

$\frac{5}{a}$

Answer

$\frac{5}{a}$

Answer

$\frac{5}{a}$

Question 27

Match column A and B

Accepted Answer

linking:// $9\cdot10$ of 16|4: $\frac{8}{x}$ of 20|10: $\frac{2\surd x}{y}$ of 15|9: $\frac{4}{7}$ of 28|16

Answer

Answer

Question 28

Choose the equation for the problem:

"Jane can finish twice as many projects as Ding. If both of them can do 6 projects together, how many can Ding finish on his own without the help of Jane?"

Accepted Answer

$\frac{5}{a}$

Answer

$\frac{5}{a}$

Answer

x + 6 = 2x

Answer

x + 2x = 6

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