Ratios and Proportions
Order of Operations
Evaluating Expressions
Solving Equations
Direct and Inverse Variation
100
Write the ratio of chickens to eggs in reduced form.
What is 1/8? or What is 1:8? or What is 1 to 8?
100
Evaluate
3+6*[(5+4)] ÷ 3-7
What is 14?
100
Write the following statement as an algebraic expression:
3 times x plus 1
What is
3x+1?
100
Solve the equation for y.
x*y=15
What is
100
The equation shows the direct variation relationship between the length of the fabric and its cost where f=length of fabric in yards and c=cost in dollars.
How much fabric can you buy for $5?
c=1.25f
What is 4 yards?
200
In a school there are 120 boys and 180 girls.
What is the ratio of boys to girls in reduced form?
What is 2/3?
200
Evaluate
9-5÷ (8-3)*2+6
What is 13?
200
Evaluate the expression when x=2
3*x^2+1
What is 13?
200
Solve the equation for y.
3*y=x+5
What is
y=(x+5)/3
200
The cost of gas is $4.50 per gallon.
Write a direct variation equation for the total cost of gas. Remember you need to define your variables!
What is
c=4.5g?
when c=total cost and g=gallons
300
You know that to make 20 pancakes you have to use 2 eggs. How many eggs are needed to make 100 pancakes?
What is 10 eggs?
300
Evaluate
150÷(6+3*8)-5
What is 0?
300
Evaluate the expression for x=9,y=5 and z=2.
(11-3*z)+x+y
What is 19?
300
Solve the equation to find the value of x.
3x+2=1
What is x=3?
300
This table shows what kind of variation? What equation fits the values in the table?
What is inverse variation? What is
xy=19.5
y=19.5/x
400
What is 20% of 160?
What is 32?
400
Evaluate
(36-6)/(12+3)
What is 2?
400
Evaluate the expression when x=5 and y=1.
(2x^2y)/(x-y)
What is 12.5 or
50/4 or 25/2
400
Solve the equation for x by undoing the order of operations.
(4(x-5)-8)/-3=12
What is x=-2?
400
The graph of a a direct variation equation has this shape. Why?
What is a line? The graph is a straight line because the growth is constant(constant of variation).
500
The sale price of a phone was $150, which was only 80% of normal price. What was the normal price?
What is $187.50?
500
Simplify
16-3*(8-3)^2÷ 5
What is 1?
500
Evaluate the following expression for x = 2, y = 5 and z = 4
4*x+(7-z)-6*y
What is -19?
500
Solve the equation for x.
7(2x-1)-11=6+6x
What is x=3?
500
Find five points that satisfy the inverse variation equation and sketch a graph of the equation.
y=20/x
What are two values for x and y that multiply to 20? What are many possibilities? (4,5) (2,10) (5,4) (10,2) (2.5,8).