MathematicsGrade 6en

✏️ Expressions & One-Variable Equations

Master algebraic expressions and one-variable linear equations! Learn to write expressions using variables, evaluate them by substitution, solve equations using inverse operations and the balance method, and interpret solutions in real-world contexts. This quiz covers the core algebraic skills needed for Grade 6 mathematics in Ontario. **What you'll learn:** - Write algebraic expressions to represent word problems - Evaluate expressions by substituting values for variables - Solve one-variable linear equations using inverse operations - Use the balance method to maintain equation equality - Interpret and verify solutions in context

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Question 1
Maya buys 3 notebooks and 2 pens. If a notebook costs $n$ dollars and a pen costs $2 dollars, which expression represents the total cost?
Question 2
Evaluate the expression $2x + 5$ when $x = 3$ .
Question 3
The expression $4a + 2a$ can be simplified to $6a$ .
Question 4
Solve the equation $x + 7 = 15$ using the inverse operation.
Question 5
Which step correctly shows the balance method applied to $3x = 12$ ?
Question 6
A bakery sells cookies for $\$ 1.50 $each. The total cost is represented by$ 1.50c $, where$ c$ is the number of cookies. How much will 10 cookies cost?
Question 7
The equation $2x - 5 = 11$ has the solution $x = 8$ .
Question 8
Write an algebraic expression for 'a number $n$ decreased by 6'.
Question 9
Solve the equation $\frac{x}{4} = 5$ using inverse operations.
Question 10
Evaluate $3(a + 2)$ when $a = 4$ .
Question 11
The solution to $x - 3 = 10$ is $x = 7$ .
Question 12
In an equation, the variable represents a(n) _______ quantity that we solve for.
Question 13
James has $\$ 50 $and spends$ $p $on a gift. The amount left is$ 50 - p $. How much will he have left if$ p = 18$?
Question 14
Solve $5x + 2 = 22$ using the balance method.
Question 15
The expression $7 + x$ means the same thing as $x + 7$ due to the commutative property of addition.
Question 16
A recipe calls for 2 cups of flour for every batch. If you make $b$ batches, the total flour needed is $2b$ . How many cups do you need for 6 batches?
Question 17
Solve the equation $x - 12 = 5$ .
Question 18
When solving an equation, whatever operation you do to one side of the equation, you must do to the other side to keep it balanced.