Semester Exam

Multi-step equations

100

4(2y-3)=3y+18-2(y+5)

y=20/7

200

3x+5=2(4x-1)+7

x=0

300

-9(m-2)+7m=-10

m=14

400

10x-15-4x=8-2x-15

x=1

500

x+5(3x-4)=12x+4

x=6

Multi-step equations with distribution

100

2(3x-4)+5=4(x+2)-7

x=2

200

3(2y+1)-4(y-3)=5y+12

y=1

300

5(x-2)+3(2x+1)=2(4x+5)-7

x=10/3

400

4(2z-1)-3(3z-4)=z+11

z=-3/2

500

2(5x+3)+4(x-2)=3(3x+1)+7

x=12/5

Compound inequalities

100

2x-5<9 and 4x+3>7

x<7 and x>1

200

-3<3y-4<5

1/3<y<3

300

5z-2>8 or -2z+6<4

Z>2 or z>1

400

1<x/3-2<4

9<x<18

500

4y+1>13 and 6y-5<19

y>3 and y<4

Functions

100

f(x)=3x²-2x+5 for x=4

f(4)=45

200

f(x)=2x+3 for x=5

f(5)=13

300

g(x)=x²-4 for x=6

g(6)=32

400

h(x)=5x-7 for x=2

h(2)=3

500

k(x)=3x+1 for x=4

k(4)=13

Function evaluations

100

f(x)=x+7 for x=8

f(8)=15

200

g(x)=2x-3 for x=5

g(5)=7

300

h(x)=x²+4 for x=3

h(3)=13

400

k(x)=3x-1 for x=6

k(6)=17

500

f(x)=4x+2 for x=3

f(3)=14