1.1: Simplifying Expressions
1.2: Solving Multi-Step Equations
1.3: Solving Linear Inequalities
1.4: Solving Literal Equations
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100
Simplify the expression:
3(3x+6y+7)
9x+18y+21
100
Solve the equation:
7(3x+4)=217
x=9
100
Solve the inequality below. Write your answer as an inequality.
-7x-19>-2x-14
x<-1
100
Solve for x.
x-12y=-11
x=-11+12y
100
Multiply without a calculator.
7times15
105
200
Simplify the expression:
-x+6-x-3+3x
x+3
200
Solve the equation:
9x+11=7x+25
x=7
200
Solve the inequality below. Graph your answer on the number line.
8x-16<-9x-33
x<-1
200
Solve for m.
m+8n=-6n+14
m=-14n+14
200
Divide without a calculator
176divide4
44
300
Simplify the expression:
2(6x-5)
12x-10
300
Solve the equation:
3x+8+4x-6=4x+3+4x-8
x=7
300
Solve the inequality below. Write your answer in interval notation.
2(x-1)>=4x+6
x<=-4
(-oo,-4]
300
Solve for m:
12m-11n=8n-14
m=(19n-14)/12
300
Take the square root without a calculator
sqrt121
11
400
Simplify the expression:
2(6x-5)+5(x-1)+2
17x-13
400
Solve the equation:
8(4x-1)+4x+10=218
x=6
400
Solve the compound inequality below. Write your solution in interval notation.
3x-3<-6 or 4x-2>=6
x<-1 or x>2
(-oo,-1)\cup[2,oo)
400
Solve the equation for b.
3/m=6/b+7/x
b=(6xm)/(3x-7m)
400
Solve for T.
PV=nRT
T=(PV)/(nR)
500
Translate and simplify:
"Twice the sum of two consecutive even integers."
(Let the first even integer be n.)
4n+4
500
The perimeter of a rectangle is 52 inches. Find the length and the width if the length is an integer and the width is 2 times the next consecutive integer.
Length = 8 inches
Width = 18 inches
500
Solve the inequality below. Graph the solution on a number line.
-8<=4x+4<=12
[-3,2]
500
The formula
A=1/2(b_1+b_2)
gives the area, A, of a trapezoid with parallel sides of length b₁ and b₂ and perpendicular height, h.
Solve the formula for b₂.
b_2=(2A-b_1h)/h or b_2=(2A)/h-b_1
500
Use the definition of derivative to find the derivative of the following function.
R(w)=w^2-8w+20
R'(w)=2s-8