Identifying Parts
Identify how many terms are in the following:
2x+3-10+4
4
Identify whether the following phrase is an expression, equation, or inequality.
2 >t
Inequality
Solve for x.
x − 3y = 14
x=14+3y
Solve for x.
∣3x + 6 ∣ = 12
x=2,-6
What is an extraneous solution?
A correctly worked solution but doesn't plug back in properly.
What is the vocab for the letter in the following:
2a=6
variable
Identify whether the following phrases are expressions, equations, or inequalities.
5x=2
Equation
Solve for c.
2h-3c=-2
c=(-2-2h)/-3
Solve for p.
∣ p-4∣ =2p
x=4/3
You and your friend ride a boat towards
toward each other. The equation
45h = 180 − 40h
represents the number h of hours until you and your friend meet in the water. After how many hours will you meet?
h=2.12 hours
Give an example of a coefficient.
Multiple responses. Ex: 3h would be 3.
Identify whether the following phrases are expressions, equations, or inequalities.
8-2g
Expression
Solve for x.
5x+16 = 3x
x= -8
A stranger bursts into the math classroom and claims that the absolute value equation
∣2x - 5∣ − 10 = −3
has no solution because the constant on the right side of the equation is negative. Is the stranger correct? Explain.
Wrong.
An absolute value equation can come out to 1, 2, or no solutions. Explain a way for how each of these outcomes can appear.
2- typical answers
1- set equal to zero or extraneous solution
0- set equal to a negative solution
What is the vocab for the number 5 in the following:
2x+5
A constant
Identify whether the following phrases are expressions, equations, or inequalities.
y/2=1+x
Equation
x = 2hy + 5y
y=x/(2h+5)
Solve for b.
2∣5b - 4 ∣+2= 26
x=16/5,-8/5
The total cost C (in dollars)
to participate in a boating club is given
by
C = 65x + 55, where x is the
number of boat trips you take.
a. Solve the equation for x.
x= (c-55)/65
Identify how the terms, coefficients, variables, and constants in the following:
4+2p-3h+x
Terms: 4 (4, 2p, -3h, x)
Coefficients: 2,-3
Variables: p,h,x
Constants: 4
Explain what the difference between an expression, equation, and inequality is.
Answers vary. Equations are set equal to something. Inequalities contain a greater than or less than sign that contains a variable. Expressions have neither equal signs or inequality signs.
Solve for g.
3(6g + 5) = 2(9g + 4)
No Solution
Solve for x.
∣x + 3∣ = ∣6+x |
x=-9/2
The total cost C (in dollars)
to participate in a boating club is given
by
C = 65x + 55, where x is the
number of boat trips you take.
b. How many boat trips did
you take if you spent a
total of $415?
5.5 trips