Interpreting Parts of an Expression
In the expression 15x + 45 representing total repair cost, what is the name of the term when 15 attached to the variable.
Coefficient
To solve for x in the equation x + 7 = 15, which inverse operation do you perform on both sides of the equation?
Subtraction
When graphing an inequality on a number line, what type of circle should you use for the inequality symbols < or >?
Open circle
What is the property of equality that allows you to add the same number to both sides of an equation to keep it balanced is called this.
Addition Property of Equality
An equation containing two or more variables, such as d = rt or P = 2l + 2w, is known as which type of equation?
Literal Equation
In the expression 8h + 20, where h is hours worked, this part of the expression does not change and is called a constant.
20
What is the solution for x in the equation 3x - 4 = 11?
x=5
When solving an inequality like -2x > 8, what must you do to the inequality symbol when dividing by a negative number?
flip (or reverse) the inequality sign
Moving from 3x + 4 = 19 to 3x = 15 is justified by which property of equality?
Subtraction Property of Equality
Solve for t using the distance formula d = rt.
t=d/r
A taxi ride costs 3d + 5, where d is miles traveled. What is the total part of the expression that represents the variable cost that increases with distance.
3d
When solving 2(x + 4) = 18, which property can you use to multiply the 2 by both terms inside the parentheses first?
Distributive Property
What is the simplified solution set for the inequality 4x - 5 < 11?
x <4
Going from 4(x + 2) = 20 to 4x + 8 = 20 uses which algebraic property?
Distributive Property
In the simple interest formula I = Prt, solving for rate (r).
r= I/Pt
In the geometry formula for the perimeter of a rectangle 2l + 2w, the number 2 in front of l indicates what mathematical operation is being performed on the length?
Multiplication
What is the value of y in the equation 5y + 3 = 2y + 12.
y=3
A student needs at least 85 points to pass a test. What is the inequality symbol used to represent "at least" in a math sentence is this?
Greater than or equal to
Going from 2x + 5x = 14 to 7x = 14 is justified by combining which types of terms?
Like terms
Solve the equation y - 3x = 7 for y.
y= 3x+7
An online store charges $12.50 per t-shirt and a flat $5.00 shipping fee. In the total cost expression 12.50t + 5, what is the term that represents the total cost of just the shirts before shipping?
12.50t
The perimeter of a rectangle is 26 units. If the length is x + 3 and the width is x, when solving 2(x + 3) + 2(x) = 26 what is the value of x?
x= 5
You have a $50 gift card and buy a book for $15. If bookmarks cost $3 each (b), what is the inequality that represents the maximum number of bookmarks you can buy without exceeding $50?
3b+15 less than or equal to 50
Going from x/5 = 4 to x = 20 is justified by which specific property of equality?
Multiplication Property of Equality
Rearrange the perimeter formula P = 2l + 2w to isolate w.
w= P-2l/2