105 practice questions covering Expressions using Letter-Numbers, organised into 3 topics. 105 questions include a written explanation. Pick a topic below, or try the samples first.
writing-algebraic-expressions
30 questions with answers
simplifying-algebraic-expressions
26 questions with answers
patterns-and-relationships-with-letters
25 questions with answers
Simplify $10y-4y$.
Correct answer: A - $6y$
Taking four lots of $y$ away from ten lots leaves six lots, which is $6y$. Adding instead gives $14y$, dropping the letter gives $6$, and $40y$ multiplies the coefficients.
A shop sells pens at ₹$p$ each and takes a single discount of ₹$10$ off the whole bill. Which rule gives the amount paid for $8$ pens?
Correct answer: B - $8p-10$
Eight pens cost $8p$, and one discount of ₹$10$ comes off that total, giving $8p-10$. The expression $8(p-10)$ takes ₹$10$ off every pen, $8p+10$ adds the discount instead, and $p-80$ multiplies the wrong number.
Find the value of $5xy$ when $x=2$ and $y=3$.
Correct answer: A - $30$
The expression means $5\times x\times y$, so substituting gives $5\times 2\times 3=30$. The value $10$ multiplies by $x$ alone, $15$ multiplies by $y$ alone, and $523$ simply joins the digits together.
How is the expression $\frac{t}{4}$ read in words?
Correct answer: A - $t$ divided by four
In a fraction the top number is divided by the bottom one, so $\frac{t}{4}$ is $t$ divided by four. Four divided by $t$ would be $\frac{4}{t}$, multiplying would give $4t$, and four less would be $t-4$.
Simplify $10-(x+4)$.
Correct answer: D - $6-x$
The minus sign in front of the bracket applies to both terms inside, so $10-(x+4)=10-x-4=6-x$. Ignoring the sign on the $4$ gives $14-x$ or $10-x+4$, and $6+x$ keeps the wrong sign on $x$.
What is the general term of the pattern $2, 4, 6, 8, \ldots$?
Correct answer: A - $2n$
Substituting $n=1,2,3$ into $2n$ gives $2$, $4$ and $6$, matching the pattern. The rule $n+2$ starts at $3$, $2n+2$ starts at $4$, and $2n-2$ starts at $0$.
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