Equation Solving
Functions and Relations
Exponent Rules
Proportions and Inequalities
Rate of Change
Age-Related Word Problems
100
Solve for x:
3x+7=16
What is x=3?
100
Is this a function?
{(2,5), (3,7), (2,8)}
What is no?
100
Simplify
2x^3 * 3x^4
What is
6x^7?
100
Solve
3/4 = x/8
What is
x=6 ?
100
Calculate the rate of change from the table between
x=1 and x=4
What is 3?
100
The sum of David and Anna's age is 16. If David is 10 years old, write an algebraic equation to represent Anna's age and solve it.
What is
10+A=16 and Anna is 6 years old?
200
Solve for x:
2(x-4)=10
What is x=9?
200
Identify the domain of
{(-3, 4), (1,2), (0,5)}
What is
{-3,1,0}?
200
Simplify
(4x^5) /(2x^2)
What is
2x^3?
200
Solve
2x-3 < 7
What is
x <5 ?
200
Determine the average rate of change between x=2 and x=6 for the function
f(x)=4x+3
What is 4?
200
Sarah is 3 years older than her brother Tom. The sum of their ages is 25. Write an algebraic equation to represent their ages and solve it.
What is (T+3)+T=25 and Sarah is 14 years old and Tom is 11 years old?
300
Solve for x:
x/3 - 2=4
What is x=18?
300
Determine the range of
{(1,-2), (2,5), (3,-2)}.
What is
{-2,5}?
300
Simplify
(3x^2y^3)^2
What is
9x^4y^6?
300
Solve
x/4+2> 5
What is x>12 ?
300
Calculate the rate of change for the line passing through (1,2) and (3,8).
What is 3?
300
The sum of a mother's age and her daughter's age is 48. The mother is 3 times as old as her daughter. Write an algebraic equation to represent their ages and solve it.
What is (3D) +D=48 and what is the Mother who is 36 years old and the daughter who is 12 years old?
400
Solve for x:
5x+3=4x+7
What is x=4?
400
Describe the intervals where the graph is increasing.
What is x > 0 or
(0, infty)?
400
Simplify
5x^0 * 4x^2
What is
20x^2 ?
400
Solve
4x+2>3x-6
What is
x> -8?
400
Find the rate of change for the graph below
between
x=1 and x=2.
What is 5?
400
The sum of a father's age and his son's age is 56. The father is twice as old as his son. Write an algebraic equation to represent their ages and solve it.
What is (2S)+S=56 and the father is 36 years old and the son is 18 years old?
500
Solve for x:
2(x-3)+4=8-x
What is x= 10/3
or
x=3.bar3?
500
For the graph below, identify where it is positive.
What is
1<x<2 or (1,2) ?
500
Simplify with positive exponents ONLY.
(6x^-2y^3)/(3x^2y^-1)
What is
(2y^4)/(x^4)?
500
Solve
(x+2)/3 = 4/9
What is
x=2/3 ?
500
For a table where
find the rate of change and explain whether it is constant.
What is 2 and yes, it is constant?
500
The sum of two siblings' ages is 30. One sibling is 2 years younger than three times the other sibling's age. Write an algebraic equation to represent their ages and solve it.
What is (3B-2)+B=30 and the siblings are 8 and 22 years old?