Algebra Semester Final Review

Expressions

100

Translate the product of a number squared and four less six into an algebraic expression

4n² - 6

200

Evaluate 16 + 5(10 - 5)

41

300

Simplify the expression 8x + 5(2x - 4)

18x - 20

400

Simplify the expression 

(4(20-15))/(3^2 + 1)+5

7

Equations

100

Solve the equation 16 = 2y - (6y - 4) 

y = -3

200

Solve the equation

9/10x=20

x = 

200/9

300

Solve the equation 

31=-n/6+11

n = -120

400

Solve the equation

-4(p + 2)+ 8 =2(p - 1)-7p+15

p = 13

Sequences

100

Find the next three terms in the arithmetic sequence 8, 15, 22, 29,...

36, 43, 50

200

Find the next three terms in the geometric sequence 3, 9, 27,...

81, 243, 729

300

Write the equation to find the nth term of an arithmetic sequence

a_n=a₁+(n - 1)d

400

Find the 50th term of the arithmetic sequence 12, 5, -2, -9...

a₅₀= 12 - 7(50 -1); -331

Inequalities

100

Solve the inequality 

-3(5x-3)>9

x < 0

200

Solve the inequality

21>3(a-7)+9

a < 11

300

Solve the inequality 

-8 <x - 4<-3

-4 <x<1

400

Solve the inequality

n-7<-5 or n-7>1

n <2 or n >8

Who knows?

100

Solve the inequality

|x - 2|<8

-6<x<10

200

Write the slope-intercept form of an equation for a line that is perpendicular to  y=1/4x + 3 containing point (2, 1)

y = -4x + 9

300

Solve the system of equations y = 7 - x, 2x - y = 8

(5, 2)

400

Solve the system of equations 3x + 5y = -16, 3x - 2y = -2

(-2, -2)