Algebra:Unit-1B: Equations & Functions

Equations in 1 variable

100

solve: 

 3x - 4 = 11

x = 5

200

solve:

13 = 4x - 9

x = 11/2

300

solve:

2p - 9 = 3(2p - 5)

p = 1.5

400

solve:

8(3x +5) = 2x - 4

x = -2

500

Thalia's bowling score is 4 more than 3 times Christelle's. The sum of their scores is 32. What is Thalia's score?

25

Inequalities in 1 variable

100

solve:

3 - 9d  < 30

d > -3

200

solve:

k + 3 -2k > 50

k < -47

300

solve:

3(10 + 2m) <or = 96

m < or = 11

400

solve: 

1/5(30 + a) < 5

a < -5

500

solve:

7 - 6x < 2x + 89

x > - 10.25

Solving for a variable

100

ax - b = c

for x

x = c + b/a

200

2(k + m) = 5

for m

m = 5 - 2k/2

300

5 = 2(pi)rh

for r

r = 5/2(pi)h

400

z/5(z + 1) = y

for z

z = 5/2y - 1

500

S = (pi)r² + (pi)rl

for l

l = S - (pi)r²/ (pi)r

Sequences

100

What is the 15th term of the sequence defined by the explicit rule: f(n) = n² + n

240

200

What is the 8th term of the sequence: f(n) = 2n² + 6

134

300

What are the first 8 terms of the sequence: 

f(n) = f(n-1) - 3

with f(1) = 37

37, 34, 31, 28, 25, 22, 19, 16

400

If f(n) = 1/2n + 3

what is f(25)

15.5

500

this is the 12th term of 

f(n) = 5/n

5/12

Sports

100

He was the Team USA coach for the Summer Olympics in 2024

Steve Kerr

200

These 2 teams are tied for the most Super Bowl titles

Steelers & Patriots

300

He is the logo of the NBA

Jerry West

400

This dance move is where you turn outwards, and start in parallel 4th position

Jazz Piroutte

500

This is the record for the most red cards given in a single soccer match

36