Steps & more steps
Solving Equations
4x + 3 = 7
What is:
x = 1
Two fractions, or rates, are set equal to each other.
What is a proportion?
The value of x if
l x - 3l = 7
What is
x = 10 and x = -4
Solve for y.
3x + 2y = 2
What is:
y = (-3/2)x + 1
Twice the difference of a number and 10 is 45.
2 (x-10) = 45
Solving Equations
6 + 5x = 31
What is:
x = 5
Solve:
One-fourth of 12
What is 3?
The value y when
l y/2 l = 28
What is
y = 56 and y = -56
Solve for x.
2x + 10y = -8
What is:
x = -5y - 4
Translate the following in algebra
One-fourth of the product of a number and 7 is twice the sum of the number and 2.
1/4 (7x) = 2(x + 2)
Solving Equations
-108 = -8(x + 6) - 4
What is:
x = 7
The unit rate of paper towels if a pack of 12 rolls costs 15.84
What is:
$15.84
The value of b when
l b - 3 l + 7 = 21
What is
b= - 11 and b = 17
Solve for v.
d = m/v
What is:
v = m/d
How many inches are in 45 feet?
540 inches
Solving Equations
6a - 7(2a + 4) = -33 - 8a
What is:
False statement, no solution
Solve:
13/8 = x/152
What is 247?
The value of c if
2l c - 3l + 11 = -45
What is
NO SOLUTION
Solve for x.
u = xk + y
What is:
x = (u - y)/k
A child is 3 feet tall and casts a 10 inch shadow. A nearby truck casts a shadow 38 inches long. An overpass has a clearance of 12 feet. Can the truck fit under the overpass? Explain.
Yes....the truck is 11.4 feet tall.
The value of y if
12y + 6 = 6(2y + 1)
What is:
all real numbers
Solve:
10/270 = x/162
What is 6?
The value of p if
9 l4p + 2l + 8 = 35
What is
p = 1/4 and p= -5/4
Solve for z.
3z + w = p
What is:
z = (p - w)/3
One and a half pounds of chicken is needed for a recipe. If all you have is a metric scale, how many grams would you need to measure out for the recipe?
1 lb = 454 g
681 g