Equation
What is the term for a mathematical statement that two expressions are equal?
Equation
What is an inequality?
Mathematical statement that shows the relationship between two expressions that are not equal and uses symbols like <,≤,>,≥.
What is a coefficient?
A coefficient is a number that multiplies a variable in an algebraic expression.
What does substitution mean in math?
Substitution is the process of replacing a variable with a number or another expression to evaluate an expression or solve an equation.
What is the solution to the equation x+14=36?
x=22
What does the term 'value' refer to in mathematics?
The term 'value' in mathematics means the worth of a variable or expression.
Solve the equation x+3=7. What is the value of x?
x=4
Solve the inequality.
10x>20
In the expression 5x+2, what is the coefficient of x?
5
If x=3 evaluate 9x+26 using substitution.
80
What is the solution to the equation 15.93x=35
x=2.14
If x=5, what is the value of 2x+3?
13
Write an equation for the statement: "A number decreased by 5 equals 10."
x−5=10
Write an inequality for the statement: "A number is less than 8."
x<8
In the equation 2x+6=24, what is the coefficient of x, and how do you solve for x? Must list steps
1st: Subtract 6 from both sides
2nd: Divide both side by the coefficient of 2
x=9
How would you use substitution to check if x=68 is a solution to the equation x+22=90
Replace x with 68 and see if the equation is true.
How can you verify that a number is a solution to an equation?
Plug in the number
How can you find the value of a variable in an equation?
By putting the variable on one side of the equal side alone (isolation)
What equation does this hanger diagram represent?
(W1)
14=2x+6
If 3x≤12, what values of x satisfy this inequality?
x≤4
If y+7=35, what is the coefficient of y?
1
If you substitute x=8 into 3x−4, what do you get?
20
If x−3=15, what is the solution?
x=18
What is the value of x in the equation 4,698-x=200?
x=4,498
Solve the equation 1/5x=6/1
(1/5 and 6/1 are FRACTIONS)
x=30
Solve the inequality 3x+4≥10
≥ means greater than or equal to
x≥2
divide
Why is substitution a useful method for solving equations?
Substitution is useful because it allows us to check if a proposed solution is correct or to simplify expressions.
What equation does this hanger diagram represent, once you find it, solve the equation.
(W2)
4w=25
w=6.25
What is the value of p?
150p+9=309
p=2