Multi-Step Equations & Inequalities
Absolute Value Equations & Inequalities
One Solution, No Solution or Infinite Solutions
Proportions
Literal Equations
Word Problems
100
Solve the following equation for x
3(x+2)−5=x+13
x=6
100
Solve the equation for x
∣2x−7∣=5
x={1,6}
100
3(x+2)=2x+11
x=5
100
Solve the proportion for x
x/3 = 6/9
x=2
100
Solve for "r" in the equation
I = prt
r=I/(pt)
100
Find two consecutive integers whose sum is 115
Smaller Number = 57
Larger Number = 58
200
Solve, graph and write the following inequality in interval notation
−3(x−4)+7>2x−6
x<5, (−∞,5)
200
Solve, graph and write the following inequality in interval notation
∣x−4∣>3
x<1 or x>7 , (−∞,1) or (7,∞)
200
4x-12=3x-10+x-2
Infinite solutions
-10=-10
200
Solve the following proportion for x
12/(3x)=10/5
x=2
200
Solve for "a" in the equation
(a+b)/2=c
a=2c-b
200
Find two even, consecutive integers who sum is 54
Smaller Number = 26
Larger Number = 28
300
Solve the following equation for x
(2x+2)/4 = x+4
x=-7
300
Solve the equation for x
3∣x−4∣+2=14
x={0,8}
300
3(x+2)-x=2x+5
No solution
6=5
300
Solve the proportion for x
(2x)/5=6/15
x=1
300
Solve for "m" in the equation
y=mx+b
m=(y-b)/x
300
The larger of two numbers is five more than twice the smaller number. If the sum of the numbers is 50, find the numbers.
Smaller Number = 15
Larger Number = 35
400
Solve the following equation for x
−3(2x−5)+4=2(x−7)+9
x=3
400
Solve, graph and write the following inequality in interval notation
2∣x−5∣−3≥7
x≤0 or x≥10, (−∞,0] or [10, ∞)
400
Solve the following equation for x
2(x+3)−4=2x+2
Infinite solutions
0=0
400
Solve the following proportion for x
(2x−7)/9 = 11/3
x=20
400
Solve for "s" in the equation
(3s)/4=q+1
(4q+4)/3
400
The length of a rectangle is five inches more than twice the width. If the perimeter of the rectangle is 94 inches, find the dimensions of the rectangle.
Length = 33 in.
Width = 14 in.
500
Solve, graph and write the following inequality in interval notation
3x+6<0 or (x−5)+3>6
(−∞,−2) or (8,∞)
500
Solve, graph and write the following inequality in interval notation
−3∣x+2∣+5≤−4
x≤−5 or x≥1, (−∞,−5] or [1,∞)
500
5(2x-1)-3x+4=7x-10
No solution
-1=-10
500
Solve the following proportion for x
3/(x+1)=9/(x-5)
x=-4
500
Solve for "l" in the equation
P=2l+2w
l=(P-2w)/2
500
The length of a rectangle is two inches more than three times the width. If the perimeter is 100 inches, find the dimensions of the rectangle
Length = 38 in.
Width = 12 in.