One-Step Equations
Solve x - 5 = -9
x = -4
Solve the equation:
6 = 1 - b
y = -5
3n - 3 = 4n + 1
n= -4
l y + 3 l = 17
y = 14, y = -20
Solve the Literal equation for y:
2x - 4y = 20
y = 1/2x - 5
Solve the equation and explain each step:
z + 3 = -6
z = -9; subtract 3 from each side
3y + 11 = -16
y = -9; using the opposite/inverse operation subtract the 11 from both sides.
Solve the equation:
-2x = 3x + 10
x = -2
Solve the absolute value equation and give the two related equations:
l -3d l = 15
-3d = 15 and -3d = -15
d= -5, d= 5
Solve the literal equation for y explain your first step:
8x -3 = 5 + 4y
y = 2x - 2; using the inverse/opposite operation subtract the 5 from both sides.
Solve the Equation, explain each step using, including what operation you used?
2.6 = -0.2t
t = -13; Divide each side of the equation by -0.2
Solve the equation and explain your first two steps:
n + 5n + 7 = 43
n = 6; first combine like terms and then using the opposite/inverse operation subtract 7 from both sides.
Solve the equation and explain how many solutions there are and why:
3(n + 4) = 1/2(6n + 4)
2 = 0; no solution because 2 cannot = 0
l x - 1 l + 5 = 2
No solution because when you use the opposite/inverse operation to subtract 5 from both sides it sets the equation to a negative number.
Solve the literal equation for x and explain your steps:
z = 8 + 6x - px
x = z - 8/ 6 - p, using the inverse/opposite operation subtract the 8 from both sides. Next, pull the x out of 6x - px making the new equation a distributive property equation. Then, divide both sides by 6 - p.
Solve the equation and explain the steps using academic language:
-n/5 = -2
n = 10; using the opposite/inverse operation multiply each side by -5.
Solve the equation and explain your first three steps:
-4(2z + 6) - 12 = 4
z = -5; First use the distributive property to get rid of the parentheses. Next combine like terms and then, using the opposite/inverse operation add 36 to both sides.
5(1 + x ) = 5x + 5
There are infinite number of solutions.
-2 l 5w - 7 l + 9 = -7
5w - 7 = 7/2 and 5w -7 = -7/2
w = 3, w = -1/5
Solve the temperature formula for F:
C = 5/9(F - 32)
F = 9/5C + 32
Solve the equation and explain each step using academic language:
t - (-5) = 9
t = 4; the -5 becomes a positive 5 because a negative times a negative = a positive. Then using the inverse/opposite operation subtract 5 from each side.
Solve the equation and explain your steps:
5h + 2(11 - h) = -5
h = -9; 1.
Use the distributive property to get rid of the parentheses.
2. Combine Like Terms
3. Using the inverse/opposite operation subtract 22 from both sides.
4. Using the inverse/opposite operation divide -27 by 3.
10k + 7 = -3 - 10k
k = -1/2; there is only one solution because the statement is k = -1/2
Solve the Absolute value equation and give the two related equations:
l x - 2 l = l 4 + x l
x - 2 = 4 + x and x - 2 = -(4 + x)
x = -1
You deposit $5,000 in an account that earns simple interest. After 6 months, the account earns $162.50 in interest. What is the annual interest rate?
I = PRT
I/PT= R
162.50/(5000)(0.5) = r
r= 0.065; the annual interest rate is 0.065, or 6.5 %