Quiz about MATH 1 LT3.2 Review

Question 1

According to the laws of exponents, when we raise a power to a power, we __________ the exponents

Accepted Answer

multiply

Answer

add

Answer

subtract

Answer

divide

Question 2

Simplify the expression. $$-\ \frac{y^{-4}z^2y^0z^2}{\left(2z^{-4}\right)^3}$$

Accepted Answer

$$-\frac{z^{16}}{8y^4}$$

Answer

$$-y^{24}x^{18}$$

Answer

$$\frac{y^3}{x}$$

Answer

$$\frac{x^4z^6}{4y^7}$$

Question 3

Simplify the expression. $$-\frac{x^4y^{-4}}{\left(yx^{-3}z^{-4}\cdot\ -2x^3y^{-1}\right)^{-2}}$$ $$-\ \frac{x^2z^6}{2y}$$

Accepted Answer

$$-\ \frac{4x^4}{y^4z^8}$$

Answer

$$\frac{yz^6}{x^{12}}$$

Answer

$$-\ \frac{x^2z^6}{2y}$$

Answer

$$\frac{y^3}{2x^6z^8}$$

Question 4

Anything raised to a power of 0 is always:

Accepted Answer

1

Answer

negative

Answer

0

Answer

undefined

Question 5

Negative Exponent Rule states that you must change the exponent to a positive by doing what?

Accepted Answer

move it to the opposite side of the fraction bar

Answer

nothing

Answer

move to the bottom of the fraction bar

Answer

negate the base

Question 6

Simplify the expression. $$\left(\frac{3a^3b}{2a^{-1}b^2}\right)^2$$

Accepted Answer

$$\frac{9a^8}{4b^2}$$

Answer

$$\frac{9b^2}{4a^8}$$

Answer

$$\frac{9a^4b^6}{4}$$

Answer

$$\frac{9a^4}{4b^2}$$

Question 7

According to the product rule on exponents, when we multiply the number with exponents with the same base, we ____________ the exponents.

Accepted Answer

add

Answer

subtract

Answer

multiply

Answer

divide

Question 8

What should be the value of $$a$$ and $$b$$ , so that the following equation is TRUE? $$\left(\frac{1}{x^a}\right)^b=x^6$$

Accepted Answer

a = -2, b = 3

Answer

a = -1, b = 2

Answer

a = -3, b = 4

Answer

a = -2, b = 2

Question 9

What is the degree of the polynomial $$7x^4-3x^3+2x^2-x+5$$ ?

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 10

Evaluate the polynomial $$2x^2+7x+3$$ when $$x=0$$ .

Accepted Answer

3

Answer

0

Answer

7

Answer

10

Question 11

Based on the number of terms, what type of polynomial is $$x^3-8$$ ?

Accepted Answer

binomial

Answer

polynomial

Answer

trinomial

Answer

monomial

Question 12

Evaluate the polynomial $$3x^2-5x+2$$ when $$x=2$$ .

Accepted Answer

4

Answer

6

Answer

2

Answer

0

Question 13

Simplify the expression: $$3\left(x^2-2x+4\right)-2\left(x^2+x-1\right)$$

Accepted Answer

$$x^2-8x+14$$

Answer

$$3x^2-5x+8$$

Answer

$$4x^2-6x+12$$

Answer

$$2x^2-4x+10$$

Question 14

Multiply: $$\left(2x+3\right)\left(x-4\right)$$

Accepted Answer

$$2x^2-5x-12$$

Answer

$$x^2-5x-12$$

Answer

$$2x^2+5x-12$$

Answer

$$2x^2-7x+12$$

Question 15

Simplify the expression. $$x^3\left(2x^2+3x\right)$$

Accepted Answer

$$2x^5+3x^4$$

Answer

$$2x^4+3x^3$$

Answer

$$x^3(2x^2)+3x$$

Answer

$$2x^5+3x^5$$

Question 16

Simplify the expression. $$-3x^2\left(7x^2-x+4\right)$$

Accepted Answer

$$-21x^4+3x^3-12x^2$$

Answer

$$-21x^4-3x^3+12x^2$$

Answer

$$21x^4-3x^3-12x^2$$

Answer

$$-21x^4+3x^3+12x^2$$

Question 17

Simplify: $$\left(x+2\right)^2-\left(x-3\right)^2$$

Accepted Answer

$$10x-5$$

Answer

$$x+1$$

Answer

$$x^2-1$$

Answer

$$5x+2$$

Question 18

Simplify $$\left(3x-5\right)\left(4x^2-2x-3\right)$$

Accepted Answer

$$12x^3-26x^2+x+15$$

Answer

$$12x^3-30x^2+2x+5$$

Answer

$$10x^3-26x^2+x+20$$

Answer

$$12x^3-20x^2+5x-10$$

Question 19

Subtract $$\left(7p^4+4p^2-8\right)$$ from the square of $$\left(3p-2p^2\right)$$

Accepted Answer

$$-3p^4-12p^3+5p^2+8$$

Answer

$$-4p^4-8p^3+2p^2+10$$

Answer

$$-2p^4-6p^3+3p^2+6$$

Answer

$$-5p^4-10p^3+4p^2+12$$

Question 20

Divide $$(x^2+2x-63)$$ by $$(x+9)$$

Accepted Answer

x - 7

Answer

x + 5

Answer

x + 7

Answer

x - 9

Question 21

$$(2x^2+6x-20)\div(2x-4)$$

Accepted Answer

$$x+5$$

Answer

$$x-5$$

Answer

$$x-5+\frac{2}{2x-4}$$

Answer

$$x+5+\frac{3}{2x-4}$$

Question 22

$$(x^3-5x^2-16x-4)\div(x+2)$$

Accepted Answer

$$x^2-7x-2$$

Answer

$$x^2-5x+4$$

Answer

$$x^2+7x+2$$

Answer

$$x^2-3x-4$$

Question 23

$$(2x^3-5x-7)\div(x-2)$$

Accepted Answer

$$2x^2+4x+3-\frac{1}{x-2}$$

Answer

$$2x^2+3x-1+\frac{5}{x-2}$$

Answer

$$x^2+2x+1-\frac{2}{x-2}$$

Answer

$$2x^2-4x+7+\frac{3}{x-2}$$

Question 24

Divide $$(x^6+4x^3+2)$$ by $$(x^2+1)$$

Accepted Answer

$$x^4-x^2+4x+1+\frac{1}{x^2+1}$$

Answer

$$x^4-2x^2+3+\frac{1}{x^2+1}$$

Answer

$$x^4+x^2+4x+2$$

Answer

$$x^4+3x^2+1+\frac{2}{x^2+1}$$

MATH 1 LT3.2 Review

25 questions

According to the laws of exponents, when we raise a power to a power, we __________ the exponents

Anything raised to a power of 0 is always:

Negative Exponent Rule states that you must change the exponent to a positive by doing what?

According to the product rule on exponents, when we multiply the number with exponents with the same base, we ____________ the exponents.

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