Two Step Equations
-4y + 3 = 19
y = -4
Solve the equation
-4(8 + y) = 90.
y = -30.5
Solve 12x + 10 = 54 - 10x
x = 2
Solve the inequality
10p - 8 > 12.
p > 2
Solve the inequality
7(x + 8) - 4 < 143
x < 13
0.5n - 3 = 5
n = 16
What is the solution to the equation -5(p - 30) = -10.
Solve the equation
24 + 0.44x = 19 + 1.69x.
x = 4
Solve the inequality 50 - 8t > 90.
t < -5
Solve
1.9(2.3n + 6) + 10.45 > 43.7
n > 5
x/3 + 3 = 21
x = 54
The 5 members of the Traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6.50. If the cost of the trip is $248.50, what is cost of each train ticket?
$43.20
Solve the equation
75 - 3.5y - 4y = 4y + 6.
y = 6
Solve the inequality
-8 - n/3 < -25
n > 51
4(-2n + 2.5) - 8 < 50
n > -6
The total number of students in the seventh grade is 9 more than 4 times as many students as are in the art class. There are 101 students in the seventh grade. Write and solve an equation to find the number of students in the art class. Let x represent the number of students in the art class.
101 = 4x + 9
x = 23
There are 450 seats in the lower level of a concert hall with b balcony seats in the upper level. So far, 170 tickets have been sold, which is 1/5 of the total number of seats in the concert hall. How many balcony seats are in the concert hall?
450
A red candle is 8 inches tall and burns at a rate of 7/10 inch per hour. A blue candle is 6 inches tall and burns at a rate of 1/5 inch per hour. After how many hours will both candles be the same height.
4 hours
Write and solve the inequality. 9 less than the product of 6 and x is greater than 54.
6x - 9 > 54
x > 10.5
Three times the sum of half Carlita's age and 3 is at least 12. What values represent Carlita's possible age?
Carlita is at least 2 years old
Natalie paid $38.95 for three medium pizzas and a salad. If Natalie paid $11.98 for the saled, how much did each pizza cost?
$8.99
A vendor pays a rock band 1/3 of the total profit from t-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from t-shirt sales was $1,632, what was the profit from sweatshirt sales?
$546
Naomi painted 16.5 square feet of a mural at a rate of 2 square feet per hour. Claire painted 7.5 square feet of the mural at a rate of 4 square feet per hour. If they continue at the same rates, how many more hours will it take until Naomi and Claire have painted equal areas of the mural?
4.5 hours
The school band gets $5 for each T-shirt they sell at a fundraiser. They have a goal of raising $150. If $45 has been raised so far, how many more T-shirts do they have to sell to reach or exceed the goal.
21 t-shirts
Solve
3r + 2(12r + 7) < 5r - 8
r < -1