Solving Equations
Solve for b: -r = sb
b = -r / s
Write an equation: "Three multiplied by some number equals 27."
3x = 27
Solve the inequality for w: −3w>15
w < -5
Solve for b in the triangle area formula: A=1/2bh
b = 2A/h
Solve for r: 1/8r = 4
r = 32
Write an equation: "Nine times some number equals 210."
9x = 210
Write an inequality for an open circle at −3 with arrow to the right.
x > -3
Use the Pythagorean theorem a2+b2=c2 If c=13 c=13 and one leg a=5, find the other leg b (in cm)
b=12 cm
Solve for y: ay−xy=z (Factor and solve for y in terms of a,x,z.)
Factor y(a-x) -> y = z/(a-x)
Write an equation for: "Five multiplied by some number is 1/5."
5x = 1/5
On a number line, graph and write an inequality for a closed dot at 2 with arrow to the left.
Show picture
x ≤ 2
Given the equation 12r=−72, solve for r and tell what operation did you perform?
r = -6
Divide both sides of the equation by 12
Solve for q: q−(−8)=−3
q = -11
Write an equation: "Twelve times some number is −36."
12x = -36
On a number line, graph and write an inequality for a closed dot at -7 with arrow to the left.
x ≤ -7
A rectangle has area 24 and height 6. Use the formula A= bh solve an equation to find the base length b.
b = 4
Solve for m: m−(+8)=43
m = 51
Translate and solve: "If three times a number plus 4 equals 19, write the equation and solve for x."
3x + 4 = 19
x = 5
Solve and then graph the inequality for x: −5x>15
x < -3
open dot with arrow pointing to the left
The area of a triangle is 30cm2. If the height is 5 cm, what is the base. Use the formula A=1/2bh to solve for b.
b = 12