Expressions, Equations, & Inequalities

Expression

100

These are separated by addition & subtraction signs in an expression.

What is a term?

200

This is  3(x+6)-5x+7  with like terms combined

-2x+25

300

These are the coefficients in the expression  4b+8c-11d

4, 8, 11

400

Factor this polynomial: 

-18x³y² + 4x²y⁴ - 14y⁵ + 24x²y⁵

The solution is:

2y²(-9x³ - 2x²y² + 7y³ - 12x²y³)

500

This is  3(2a+b-3c)+3b-4a-11c  with all terms combined

2a+6b-20c

Two-Step Equations

100

Solve the equations. 

14-3g=32 

g=-6

200

Solve the equations. 

w/4 -21=-3

w=9

300

Solve the equations. 

4-3x=34

6-4u=26

x=-10 

u=-5

400

Solve the equations. 

d/15 +26=33 

4x+5=-15

d=105

x=-5

500

Write the verbal sentence as an equation and solve. Five minus the product of 2 and a number is 7.

5-2x=7

x=-1

Like Terms & Parentheses

100

Solve the equation. 

6(x-1)=12 

x= 3

200

Solve the equations. 

5+2(x-2)=19 

14t-4-9t=31

x=10 

t=7

300

Solve the equations. -5(3n+5)=20 

22+4y-14=0

n= -3 

y=-2

400

What is the solution of the equation: 

-3(2x-1)=-21 

4

500

What is the solution to the following equation: 

-2(m+3)-m = -m-4(m+2)

What is m = -1 

Inequalities

100

Solve the inequalities. 1≥x-9 ; x+4<3

10≥x ; x<-1

200

Solve the inequalities. 5+m+8≥14 ; 13+n-26<38

m≥1 ; n<51

300

Solve the inequalities. a/2 < -9 ; -3y>36

a<-18 ; y<-12

400

Solve the inequalities. d/-11 ≤6 ; 5z<65

d≥-66 ; z<13

500

Which inequality is equivalent to -18≤3p? a) p≥-54 ; b)-54≥p ; c)p≥-6 ; d)-6≥p

c) p≥-6

Multi-Step Inequalities

100

Solve the inequality. 2y+7>11 

y>2

200

Solve the inequality. 11-4z<-1 

z>3 

300

Solve the inequality.  3+b/3<7 

b<12

400

Solve the inequalities.

x/-3 -8≥-3

x≤-15 

500

Solve the  inequalities  z/-4+3>15 and  x+2>11-2x 

z < -48

x >3