Which equation is equivalent to the equation 5x + 30 = 45 ?
35x = 45
5x = 75
5(x + 30) = 45
5(x + 6) = 45
5(x + 6) = 45
Solve the equation:
-180 = -20x
x = 9
Solve the equation:
20 = x + 2
x = 18
Identify the slope (m) and y-intercept (b) of the following equations:
Y = ½ x - 6
slope: 1/2
Y-intercept: (0, -6)
Solve the equation:
x/18 = 8
x = 108
Identify the slope (m) and y-intercept (b) of the following equation:
Y = -5x +10
Slope: -5
Y-intercept: (0, 10)
A food delivery service charges a base fee of $10 per order plus an additional charge per mile. The total delivery costs, C, can be represented by this equation: C=10+fm where "f" is the additional charge per mile and "m" is the number of miles to deliver.
Solve for "f"
f = (C-10) / m
Solve the equation:
-19 = m - 8
m = -11
Identify the slope (m) and y-intercept (b) of the following equations:
Y= 3x + 9
Slope: 3
Y-intercept: (0, 9)
Andre bought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was bought. Here is a graph of the equation:
About how many days did it take for the bag to be empty?
33 days
Identify the slope (m) and y-intercept (b) of the following equations:
Y= 2x - 7
Slope: 2
Y-intercept: (0, -7)
Solve the equation:
n/2 = -2
n = -4
Solve the equation:
17 = k/10
k = 170
Andre bought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was bought. Here is a graph of the equation:
How many days did it take for the bag to contain 16 ounces of food?
24 days
A food delivery service charges a base fee of $10 per order plus an additional charge per mile. The total delivery costs, C, can be represented by this equation: C=10+fm where "f" is the additional charge per mile and "m" is the number of miles to deliver.
Solve for "m"
m = (C-10) / f
Andre bought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was bought. Here is a graph of the equation:
How much did the bag weigh before it was opened?
56 oz
b-19 = -31
b = -12
Solve the equation:
15x = - 300
x = -20
Solve the equation:
-9x = -135
x = 15
Solve the equation:
n - 16 = 1
n = 17
Solve the equation:
x/3 = 2
x = 6
Solve the equation:
16r = -176
r = -11
Andre bought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was bought. Here is a graph of the equation:
How many ounces of food were in the bag 12 days after Andre bought it?
35 oz
Cing says that equations A and B have the same solution.
Equation A: 6x + 9 = 12
Equation B: 2x + 3 = 4
Which statement explains why this is true?
Adding 4 to both sides of Equation A gives 6x + 9 = 12..
Multiplying both sides of Equation B by 3 gives 6x + 9 = 12.
Applying the distributive property to Equation A gives 6x + 9 = 12..
Subtracting 3 from both sides of Equation B gives 6x + 9 = 12..
Multiplying both sides of Equation B by 3 gives 6x + 9 = 12.
Is 0 a solution to 12 - 8x = 3(x + 4) ? Explain.
Yes, because when 0 is substituted in for X, both sides of the equation equals 12.