Basic Equations & Inequalities
Solve the equation:
5-3x=23
What is
x=-6
Solve for the variable:
3t-4+7t=14
What is
t=9/5
Solve the inequality:
-5(2y-1)<20
What is
y> -3/2
Solve for t:
I=Prt
What is
t=I/(Pr)
Translate and solve:
"Five more than three times a number, n, is equal to twenty"
What is
3n+5=20; n=5
Solve the inequality:
(x+4)/2>=5
What is
x>=6
Solve the equation:
5x-18=5(x-3)
What is "no solution"?
Solve the inequality
-6x+3>4x+23
What is
x<-2
Solve for x
x+2y=4
What is
x=4-2y or x=-2y+4
Translate and solve:
"One less than twice a number, n, is no less than 7"
What is
2n-1>=7; n>=4
Solve the equation
10-x=-8
What is
x=18
Solve the equation
(x-1)/2=(x+5)/3
What is
x=13
Solve the inequality
-3<2x-1<=5
What is
-1<x<=3
Solve for y
3x+2y=6
What is
y=-3/2x+3
Write an inequality to represent the situation:
"The grades on the science test were between 73 and 98"
What is
73<g<98
Solve the inequality
9≤3x+15
What is
x>=-2
Solve the equation
1/2(10a-12)=3(a+4)
What is
a=9
Solve the inequality
3/4x< -9 or 10x+1>6
What is
x<-12 or x>1/2
Solve for b:
A=1/2bh
What is
b=(2A)/h
Write an inequality for the following situation:
"A pizza costs $8 plus $0.50 per topping. How many toppings can you get if you want to spend no more than $10?"
What is
0.50t+8<=10