Multi-Step Equations
Solving Equations
4x + 3 = 7
What is:
x = 1
Solving Equations
6(6n - 2) = 8n - 40
What is:
n = -1
Jessica can do 100 jumping jacks in 3 minutes and Rachel can do 150 jumping jacks in 4 minutes. Are these rates proportional?
Not proportional
Solve for y.
3x + 2y = 2
What is:
y = (-3/2)x + 1
Solving Proportions
2/x=8/9
What is: x=2.25
Solving Equations
4(6 + 5x) = 124
What is:
x = 5
Solving Equations
-4(-8p + 1) = -4 - 8p
What is:
p = 0
It took Tyler 4 hours to drive 200 miles. How many miles could he drive in 10 hours at the same rate?
500 miles
Solve for x.
2x + 10y = -8
What is:
x = -5y - 4
Solving Proportions
(x+1)/5=3/5
What is:
x=2
Solving Equations
-108 = -8(x + 6) - 4
What is:
x = 7
Solving Equations
6a - 7(2a + 4) = -33 - 8a
What is:
False statement, no solution
A video game store charges a monthly membership fee of $13.50, but the charge to rent each game is only $8.00 per game. Another store has no membership fee, it costs $12.50 to rent each game. Write and solve an equation to find how many games need to be rented each month for the total fees to be the same from either store?
What is:
3 games
Solve for y.
7x - 5y = -25
What is:
y = (7/5)x + 5
Solving Proportions
(x-3)/7=(x+1)/8
What is:
x =31
Solving Equations.
254 = -2v - 6(2 +6v)
What is:
v = -7
Solving Equations
-5(8n - 4) - n = - 16 - 5n
What is:
n = 1
Ms. Z can grade 5 tests in 15 minutes. How long will it take to grade 60 tests?
What is:180 minutes
Solve for x.
u = x/k + y
What is:
x = (u - y)*k
Solving Proportions
(5x+10)/x = 10/11
What is:
x= -2.444...
Solving Equations
-93 = 7(-3k - 8) + 5
What is:
k = 2
Solving Equations
-15 - 5x = 5(-x - 3)
What is:
True statement, infinite solutions
Kevin earned $700 on his last paycheck for 40 hours of work. If he plans on working 150 hours next month, how much money will Kevin earn?
What is:
$2,625
Solve for w.
(3 - w)/z = p
What is:
w = - pz + 3
Solving Proportions
(x - 2)/2=(x + 1)/3
What is:
x = 8