Identify the terms, like terms, coefficients and constants in the expression.
6x-2y+x-5
The terms are 6x, -2y, x and -5.
The like terms are 6x and x.
The coefficients are 6, -2 and 1.
The constant is -5.
100
Solve each equation.
x-7=-4
x=3
100
3a+9=33
a=8
100
Define the Distributive Property and give an example.
The Distributive Property: to multiply a sum by a number, each number, multiply each number in parenthesis by the number outside the parenthesis.
Example: a(b+c)=ab+ac
200
(20-3)8
136
200
Identify the terms, like terms, coefficients and constants in the expression.
3n+5m-6m+2
The terms are 3n, 5m, 6m and 2.
The like terms are 5m and 6m.
The coefficients are 3, 5 and 6.
The constant is 2.
200
23=y+10
y=13
200
2x+x-27=3
x=10
200
Define the term, coefficient and the constant.
The term is when addition or subtraction signs separate an algebraic expression into parts.
The coefficient is the numerical part of a term that contains a variable.
The constant is a term without a variable.
300
Use the Distributive Property to write each expression as an equivalent algebraic expression.
4(x+5)
4x+20
300
Simplify each expression.
4x+6+2x
6x+6
300
5c=120
c=24
300
Translate each sentence into an equation.
Zach has 6 t-shirts. This is 4 less than twice the number of
t-shirts n that Jim has.
6=2n-4
300
Define like terms.
Like terms are terms that contain the same variables.
400
Use the Distributive Property to write each expression as an equivalent algebraic expression.
(y+10)6
6y+60
400
6y-3(x-2y)
12y-3x
400
4/y=-8
y=-32
400
Translate each sentence into an equation.
Eighteen more than twice a number is 8.
x=-5
400
Define inverse operations.
Inverse operations are operations that undoes another, such as addition and subtraction.
500
On a school visit to Washington, D.C., Bob and his class visited the Smithsonian Air and Space Museum. Tickets to the IMAX movie cost $8.99. Find the total cost for 20 students to see the IMAX movie.
$179.80
500
You have some money in a savings account. Your sister has $25 more then you have in her account. Write an expression in simplest form that represents the total amount of money in both accounts.
2x+25
500
A drive-through safari zoo charges $12.50 per person for admission. In one hour, the park raised $675 in admission fees. Write and solve an equation to find how many people visited that hour.
v=54
500
Logan collected pledges for the charity walk-o-thon. He will receive total contributions of $68 plus $20 for every mile that he walks. How many miles will he need to walk to raise $348?
m=14
500
Define the two-step equation.
The two-step equation is an equation that contains two operations.