Expressions, Equations, & Inequalities - Unit 4 Test Review

Expression

100

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

What is a term?

200

Simplify 3(x+6)-5x+7  

-2x+25

300

True or false  The following expressions are equivalent: -9h - 4.5  and -0.75(12h-4.5)

False

400

Simplify -4(2k - 6) - 4k

-12k + 24

500

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

2a+6b-20c

Writing equations

100

Solve the equations. 

14-3g=32 

g=-6

200

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

300

The sum of half a number, n and 9 is 13.  What is the value of n.

n=8

400

The length of a rectangle is represented by 8x - 3.  The width of the rectangle is represented by 2x.  The perimeter is 34 centimeters.  Does 20x - 6 = 34 represent perimeter

yes: you combine like terms 2x+8x-3+2x+8x-3=34

500

Monica is one year younger than Dave.  Dave is one year younger than Amber.  The sum of their ages is 33.  How old is Dave?

11

Solving equations

100

Solve the equation. 

6(x-1)=12 

x= 3

200

Solve the equations. 

5+2(x-2)=19 

14t-4-9t=31

x=9

t=7

300

Solve the equations. -5(3n+5)=20 

n= -3 

400

Solve these two equations. 42=18t+4(t+5) 

-2(z+12)=6z

t=1

z=-3

500

What is the solution of the equation: 

-3(2x-1)=-21 

4

Inequalities

100

Solve the inequalities. 1≥x-9 

10≥x 

200

Solve the inequalities. 5+m+8≥14 

m≥1 

300

Solve the inequalitie. -3y>36

 y<-12

400

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

d≥-66 ; z<13

500

Which solutions, if any, do the inequalities -5(x+4)>10 and x+3<7 have in common?

x<-6 and x<4 So they share solutions less than -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 inequalities.  3+b/3<7 

b<12

400

Solve the inequalities.

x/-3 -8≥-3

x≤-15 

500

What are the common solutions, if any, in the  inequalities  z/-4+3>15 and  x+2>11-2x 

No solution exists.