6.1 - Order of Operations & Solving Equations
Terms that have the same variables with the same exponents on the variables are called
What are like terms?
An equation that typically has a real-life application is called a(n) _____________.
What is a formula?
Write the phrase as a mathematical expression.
5 more than 3 times x.
What is 3x+5?
Two or more expressions joined by an inequality sign is called a(n) _________.
What is an inequality?
When two or more equations are considered simultaneously, the equations are called ______ of equations.
What is a system?
Comine like terms
0.6(x+4)+1.6(x-3)=2.2x-2.4
What is 2.2x - 2.4?
Solve the equation for y.
12x-4y=20
What is y = 3x-5?
Write the phrase as a variable expression. Use x to represent a number.
The product of 504 and a number.
What is 504x?
An inequality in the form a < x < b is called a(n) ______ inequality.
What is dependent?
Evaluate the expression for x = -4
-5x2-3x-5
What is -73?
t = 5h+ 5v
What is t-5v/5?
Write an equation and solve.
A number increased by 6 is less than twice the number.
equation: x+6 = 2x-4
The solution is 10.
When solving an inequality, if you obtain a statement that is always true, such as 13 > 10, the solution is _____ real numbers.
What is all real numbers?
Determine which ordered pair(s) are solutions to the system:
y = -4x-3
y= -x+17
a.) (5,12)
b.) (4,13)
c.) (3,-9)
What is b - (4,13)?
Determine whether 7 is a solution of the equation 5x+7=40. Is 7 a solution?
What is no - not a solution?
If Mario drives at a rate of 65 miles per hour, how long will it take him to drive 585 miles?
Write an equation and solve.
Fifteen more than 4 times a number is 43.
Equation: 4x+15=43
Solution: 7
When both sides of an inequality are multiplied or divided by a/an __________ number, the direction of the inequality symbol is _________.
What is negative? What is reversed?
Solve the system of equations by using the substitution method.
y = x+3y
y = -x+7
What is (2,5)?
Solve the equation.
2(x+3)-5=2(x-3)
What is the equation has no solution?
A = P(1+r/n)nt
Find A when P=2000, r=5%, n=4, and t=9.
What is about 3,127.89?
Write an equation and solve.
A number increased by 7 is 2 times the sum of the number and 2.
equation: x+7 = 2(x+2)
The solution is 3.
Solve and graph the inequality:
-4x </ 8
x >/ -2
Graph will be a shaded circle on -2 and an arrow pointing towards positive infinity
Solve the system using the addition (elimination) method
5x-3y = 6
9y-15x = -18