HARDER Grade 6 – Algebra Instruction
1. What is an algebraic expression? Give an Example with one variable. What is the value of
your expression when your variable equals 1?
2. What is an algebraic equation? Give an example. Can you solve this equation? If so, do it and
if not, then explain why this cannot be done.
3. Is 9 a solution of p-7=2? Why or why not? Give two different equations whose solution is 9.
4. Evaluate the expression for the given replacement values: 2x+5y for x=4 and y=7. What are
possible values for x and y so that the expression equals 29?
5. Simplify this expression by combining like terms: 8b-2b Repeat for 8b-(2b+3b)
6. Simplify this expression by combining like terms: 5x+2-3x+1 Repeat for 5x+2-(3x+1)
7. If David has $15, and Joanna has 6$ less than David, then how much money does Joanna
have? If Mary-Lou has 10$ more than twice what David has, then how much money does
Mary-Lou have?
8. If David has some money, and Joanna has 6$ less than David, then how much money does
Joanna have? If Mary-Lou has 10$ more than twice what David has, then how much money
does Mary-Lou have?
9. In algebra, what is a variable?
10. How many pairs of numbers can you find that add to 10? Express 10 as the sum of two
arbitrary numbers using a variable. Express 10 as the sum of three arbitrary numbers using two
variables.
11. True or False? (a) 9+15=40-16 (b) 9+b=40-(b+1) (c) 9+15=10+14 (c) 9+15=9+b+(15-b)