damions SEMESTER EXAM 24-25

Multi-step equations

100

3(x+1)=5+x

x=1

200

8y-2=-9+7y

y=7

300

-18-6y-6(1+3y)

y=1

400

2(x+2)-5=3(x+1)

x=4 

500

12(11/12x+5=27)

x=24

Multi-step equations with distribution

100

2(x+3)=8

x=1

200

4(x+3)-2=6

x=-1

300

5x+2(x+10)=83

x=9 

400

8-4(y+1)=16

y=-3

500

-3x-4(4x-8)=3(-8x-1)

x=-7

Equations with variables on both sides

100

5x-2=3x+4

x=3

200

5-2(3-x)=4x+10

x=-11/2

300

5x+5+4x=4-3x+6

x=5/12

400

3x+7+x=5x-9

x=16

500

5x+1=3x+5

x=2

Functions

100

f(x) = 3x + 2 & g(x) = x2 – 1. Find f(g(-3)

26

200

f(x) = x3 + 1,
g(x) = 2x – 5
h(x) = [f(x)]2 – g(x)
Find h(-2)

58

300

.f(x,y) = x + y ; if both x & y are even
f(x,y) = x – y ; if both x & y are odd
f(x, y) = 2x – y2 , if any one of them is odd & other is even.
Find f(2, 3) – f(2, 4)

-11

400

Given f(x) = x2 + x ; if x is a prime number.f(x) = 2x + 5 ; if x is non- prime
Find f(f(1))

46

500

.f(x,y) = x2 + y ; if both x & y are prime
f(x,y) = x + 2y ; if both x & y are composite
f(x, y) = x + y , if any one of them is prime & other is composite.
Find f(5, 3) + f(3, 6)

37

Compound inequalities

100

Which of the following choices is a solution to
x < -5 or x > 7 ?

-6

200

Which of the following choices is a solution to the equation −x−6<2?

-x<-8

300

Solve the following quadratic equation.(x − 18)2 = 1

x = 19 and x = 17

400

Solve the given quadratic equation.
x2 = 121

x=11

500

Solve the following equation for x.
x2 + 8x + 7 = 0

x = -1; x = -7