Topic 1 Revision

1.1 Real Numbers

100

Write 5,700,000 in scientific notation form 

5.7 x 10^6

200

10^4 x 10^6 (answer in exponent form) 

10^10 

300

Write 5x5x5x5x5x5x5 in exponent form 

5^7 

400

Lisa is at least 16 years old, use x to symbolize Lisa's age

x>= 16 

500

True or false, natural numbers include 0

False 

1.2 Solving equations graphically numerically and algebraically

100

Solve the equation by extracting the square root: 

4x^2= 25 

x= + 5/2 

    -5/2 

200

Solve this equation by factoring 

x^2 +3x-28=0 

x=4

x=-7

300

Solve this equation by factoring 

x^2-2x-15=0 

x=5 

x=-3

400

Solve by completing the square 

x^2+6x=7

x=1

x=-7

500

Solve using the quadratic formula 

3x+4= x^2

x= -1

x=4

1.3 Complex Numbers

100

How do you write a complex number? 

ai + b 

200

Simplify 

square root of -25 

5i

300

Find the product 

(1+3i)(2-i)

5 +5i

400

Multiply 

(4-3)(-7-2i)

-34 +13i

500

(-7+6i)^2

13-84i

1.4 Solving inequalities algebraically and graphically

100

Solve the inequality algebraically, write the solution in interval notation and draw its number line

|x-3|<2

(1,5)

200

Solve the inequality algebraically, write the solution in interval notation and draw its number line

|x+2/3|>=3

(-inf,-11]U[7,inf)

300

Solve the inequality.use algebra 

x^2-8x+16<0

No solution

400

Solve the inequality graphically 

4x^2+1>4x

(-inf,1/2)U(1/2,inf)

500

Solve the cubic inequality graphically 

3x^3-12x+2>=0

[-2.08,0.17]U[1.19,infinity]

Random

100

Mystery 

free points :D

200

List the positive integers between -1 and 7 

1,2,3,4,5,6

300

square root of -100 

10i 

400

No item in the store costs more than 20 dirhams. Use x to symbolize the store items prices 

x<=20 

500

Simplify -3(4+2i)

6 -12i