Solving Multi-Step Equations
Solve the equation: 2(x + 3) = 14.
What is x=4?
Determine the number of solutions for the equation: 2x - 6 = 2x + 10.
What is no solutions?
Solve the following system of equations:
[y = 2x + 4]
[y = 3x - 1]
Solve the inequality: -2x > 10.
Apples cost $3 and bananas cost $1. If x is the number of apples and there are y bananas, write an equation if you spent $12 in total.
What is 3x+y=12?
Solve the equation: 3(x - 5) = 24.
What is x=13?
A systems of equations with two perpendicular lines has this many solutions.
What is one?
Solve the following system of equations:
[y = 2x + 3]
[y = -x + 3]
What is (0, 3)?
Solve the inequality: 3x - 5 ≥ 10.
What is x≥5?
If you have $80 and want to buy 8 shirts that cost the same amount, write an equation for the cost of each shirt.
What is 8x=80?
Solve the equation: 5(2x - 4) = 30.
What is x=5?
Determine the number of solutions for the equation: 3(4y - 2) = 6(2y - 1).
What is infinitely many?
Solve the following system of equations:
[y = -3x + 6]
[y = 2x - 1]
What is (1.4, 1.8)?
Solve the inequality: 3x + 1 < -11.
What is x<-4?
If you have 5 more pencils than pens, and you have a total of 19 pens and pencils, you have this many pens.
What is 7 pens?
Solve the equation: 5(a - 3) + 2 = 4(a + 1) - 3.
What is a=14?
A system of equations with two parallel lines has this many solutions.
What is all numbers or no numbers?
Solve the following system of equations:
[y = 0.5x + 3]
[y = -1.5x - 2]
What is (-2.5, 1.75)?
Solve the inequality: -2x + 7 < 5.
What is x>1?
A bakery sells muffins for $2 each and cupcakes for $3 each. If they made $50 selling a total of 19 items, how many of each did they sell?
What is 7 muffins and 12 cupcakes?
If 4(x + 1) - 3 = 5(x - 2), find the value of x.
What is x=11?
Solve the equation 0.5(2x - 4) = 1.5(x + 1) and determine the number of solutions.
What is x=-7 and one?
Solve the following system of equations:
[y = 0.8x + 2]
[y = -2x + 1]
What is (-0.357, 1.714)?
Solve the compound inequality: 2x + 5 > 11 and x - 3 < 7.
What is 3<x<10?
A store sells toys for $10 each and stuffed animals for $5 each. If they made $120 selling a total of 15 items, how many of each did they sell?