M2 Summative Assessment Review

Simplify Exponent Laws

100

4^7/4

4^6

200

(10^3)^4

10^12

300

(5^6-:5^2)^8

5^32

400

7^10/(7^4xx7^3)

7^3

500

(9^9-:9^7)^6/(9^5xx9^1)^2

9^0

FOIL

100

(x+6)(x-3)

What is x²+3x-18

200

(6x+1)(2x+9)

What is (12x²+56x+9).

300

(x+y)(x-y)

What is x²-y²

400

(2x-5)(x-4)

What is (2x²-13x+20).

500

(2x+6)(3x²+x-4)

What is 6x³+20x²-2x-24

Rational and Irrational Numbers

100

All ______ numbers, which include rational and irrational numbers, can be plotted on a number line.

Real

200

__________can be expressed as a fraction in an infinite number of ways.

Rational Numbers

300

__________ include integers, fractions, terminating and repeating decimals.

Rational Numbers

400

Irrational numbers can be written in the form of a fraction where the numerator and the denominator are both integers.

True or False

False

500

Convert 1.04242424242 into a fraction

1032/990

Adding and Subtracting Polynomials

100

Add the polynomials:

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

5x - 1

200

Add the polynomials:

(x² + 4x + 4) + (x² + 4x + 4)

2x² +8x + 8

300

Subtract the polynomials

(3x² + 4x - 5) - (4x² - 5 + 3x)

-x² + x

400

Subtract the polynomials and write the answer in standard form:

(-7x² - 4x - 7) - (7x² - 4x - 11)

-14x² + 4

500

Subtract the polynomials and write the answer in standard form:

(3x - 3x² - 3x³ - 3x⁴) - (3x - 3x² - 3x³ - 3x⁴)

0

Simplifying Roots

100

Simplify

sqrt(8)

2sqrt2

200

Simplify

sqrt18

3sqrt2

300

Simplify

sqrt108

6sqrt3

400

Simplify

sqrt288

12sqrt2

500

Cube root of 1024

8 times the cube root of 2

Factorising Polynomials

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: m²-11m+18

(m-9)(m-2)

300

Factor into two binomials: x²+5x-24

(x+8)(x-3)

400

Factor into two binomials: y²-6y-7

(y-7)(y+1)

500

Factor into two binomials: x²-x-56

(x-8)(x+7)