Free Printable MATH 1 LT3.2 Review

1.

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

a)

add

b)

subtract

c)

multiply

d)

divide

2.

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

a)

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

b)

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

c)

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

d)

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

3.

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

a)

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

b)

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

c)

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

d)

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

4.

Anything raised to a power of 0 is always:

a)

negative

b)

0

c)

undefined

d)

1

5.

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

a)

nothing

b)

move to the bottom of the fraction bar

c)

move it to the opposite side of the fraction bar

d)

negate the base

6.

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

a)

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

b)

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

c)

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

d)

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

7.

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

a)

add

b)

subtract

c)

multiply

d)

divide

8.

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

a)

a = -1, b = 2

b)

a = -3, b = 4

c)

a = -2, b = 2

d)

a = -2, b = 3

9.

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

a)

1

b)

2

c)

3

d)

4

10.

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

a)

3

b)

0

c)

7

d)

10

11.

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

a)

polynomial

b)

trinomial

c)

binomial

d)

monomial

12.

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

a)

4

b)

6

c)

2

d)

0

13.

Evaluate the polynomial x^3 $x^3-2x^2+4x-8$ when $x=-1$

a)

0

b)

-15

c)

-5

d)

-10

14.

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

a)

$x^2-8x+14$

b)

$3x^2-5x+8$

c)

$4x^2-6x+12$

d)

$2x^2-4x+10$

15.

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

a)

$2x^2-5x-12$

b)

$x^2-5x-12$

c)

$2x^2+5x-12$

d)

$2x^2-7x+12$

16.

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

a)

$2x^4+3x^3$

b)

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

c)

$2x^5+3x^5$

d)

$2x^5+3x^4$

17.

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

a)

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

b)

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

c)

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

d)

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

18.

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

a)

$x+1$

b)

$x^2-1$

c)

$5x+2$

d)

$10x-5$

19.

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

a)

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

b)

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

c)

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

d)

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

20.

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

a)

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

b)

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

c)

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

d)

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

21.

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

a)

x + 5

b)

x + 7

c)

x - 9

d)

x - 7

22.

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

a)

$x-5$

b)

$x+5$

c)

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

d)

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

23.

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

a)

$x^2-5x+4$

b)

$x^2+7x+2$

c)

$x^2-3x-4$

d)

$x^2-7x-2$

24.

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

a)

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

b)

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

c)

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

d)

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

25.

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

a)

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

b)

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

c)

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

d)

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

MATH 1 LT3.2 Review

Total questions: 25

Worksheet time: 13mins

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